diff --git "a/data/dm_maths/full_data/1254_11255.jsonl" "b/data/dm_maths/full_data/1254_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1254_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express (3*w**3 - 3*w**3 - 11*w**3)*(w + 2 - 2 + 5*w - 3*w + 2*w + (-3*w + 0*w + 4*w)*(4 + 3 - 5)) in the form o*w**4 + g*w + k + l*w**2 + a*w**3 and give o.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhvthhktvrkkk. Give prob of picking 2 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343673, -343722, -343771, -343820, -343869?\nAnswer: -343918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w - 2. Suppose -4 = f + 5*r - 2, 2*f - 5*r = -4. Let g = 2 - f. Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 32488 - 9912 = 0. What is n rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 11) to base 8\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 3*r + 20. Suppose -4*j = 2*w + j + 31, 5*j + 16 = 3*w. Let n = r - w. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:51 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v + 640. What is the common denominator of -91\/24 and v\/(-8)*(-10)\/(-24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*sqrt(209) - sqrt(209)))\/((sqrt(132)\/sqrt(4))\/sqrt(3)))**2 + 5*(sqrt(152)\/(-2*sqrt(200) + sqrt(200)))**2.\nAnswer: 874\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 21*o + 7. Let w be u(19). Let m = 30 - w. Let z = m - 42. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011 + -101001001000000010?\nAnswer: -101001000110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1132\/(-9622))\/(3\/9)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.55357 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r. Suppose 0 = -5*g + 51 + 59. Suppose 0 = 5*o - 25, -3*b + 4*o = -o + g. Is b bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629639 a multiple of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*l + 34. Let c(w) be the third derivative of 0 + 0*w - 1\/9*w**3 + w**2 + 1\/180*w**l + 1\/72*w**4. What is j in c(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - 4 - 7*w - 9*w + 13 + 9*w. Let o(r) = r**2 + 2*r - 3. Let c(b) = 7*o(b) + 2*t(b). Differentiate c(s) with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 5*s - 2. Let m be f(-4). Let a(v) = 5*v**2 + 2*v - 1. Let b be a(m). Let g = 13 + -8. Solve b = g*j + 4*w, -6*w + w + 10 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2\/5, -0.02, 6, -4 in decreasing order.\nAnswer: 6, -0.02, -2\/5, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65353 (base 8) to base 14.\nAnswer: 9d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/h**(-2\/9))\/h*h))\/(h\/((h\/(h*(h\/(h**(2\/17)\/h))\/h))\/h)))\/(h**10*h**8))**26 assuming h is positive.\nAnswer: h**(-83954\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6969 - -11925. Let c be w\/36 - (-1)\/3. Suppose -5*i + 4*a = 2*a - c, -i = 2*a - 18. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9471.\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*a - 220 = -0*a, 3*i = -3*a - 213. Find the common denominator of 5 + (5742\/i)\/(63\/4) and 41\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 21 + 21)*(4 + 1 - 4) - 3*g + 3*g - 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -2, 6, -4, -1519, -3 in increasing order.\nAnswer: -1519, -15, -4, -3, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17669387179573.52 - 17669411069945.51999982. Let l = q + 23890357. Let j = l - -15. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 9, j: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -19*i**2 - 7*i - 5. Let o(p) = -20*p**2 - 8*p - 6. Suppose 18 + 12 = -4*c - 2*r, 0 = -3*c - 5*r - 33. Calculate c*t(w) + 5*o(w).\nAnswer: 14*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.7206g in milligrams?\nAnswer: 558720.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from zzzzzzahzzzzzhzzz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 1. Let s be u(5). Suppose -5*i = 20, 4*k - 2*k - s*i = 20. Suppose 0 = 5*d - 2*q - 11 - 5, 2*d - k*q = 4. Solve d*b - b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28625469 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6 - 2*o + 3 + o**2 - 2. Let a be m(4). Let j be 1 + 0\/(-3) + a. Solve 0 = c - 5*c - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10856 - -10878. Suppose -p + 6 = -2. What is the remainder when y is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000508165 rounded to 7 dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -16*h + 820. Let b = h + -120. What is the tens digit of -6*(b\/(-3) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -91. Let p be (-2)\/((1\/2)\/(-1)). What is the units digit of p\/14 - j\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8100\/7 + 180\/7*y - 1\/7*y**2.\nAnswer: -(y - 90)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-204)\/5*(-60)\/(-18). Let q be f\/(-30) - (-12)\/(-9). Factor 2*s**4 - 2\/5*s**5 + 8\/5*s**2 - q*s**3 + 0 + 0*s.\nAnswer: -2*s**2*(s - 2)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/((-28)\/(-35))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2 - 12*z + 72. Let b(t) = -11*t**2 - 19*t + 105. Let a(w) = -5*b(w) + 8*x(w). Give a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 380060*n**2 + 2*n + 122060 wrt n.\nAnswer: 760120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(-10)*z\/((z\/(z**(-8)*z)*z)\/z) assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 3*k + 1. Let o(t) = 4*t**2 - 14*t + 45. Give 5*n(f) - o(f).\nAnswer: f**2 - f - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 940645*m**2 + 9406055*m + 19752495.\nAnswer: 5*(m + 3)*(m + 7)*(m + 188119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/7, 5, 17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w - 41*w = 155. Solve 9 = -4*t - s, -5*t = -3*t - w*s - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -401, 10527, 28737, 54229, 87003?\n\"Answer: 3641*d**2 + 5*d - 4047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/(-108) + (-114)\/(-8). What are the prime factors of (z\/18*-4)\/(17\/(-561))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**19\/k)\/k)*k)\/(k\/k**(-19)))**(6\/5) assuming k is positive.\nAnswer: k**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 639*g + 30. What are the prime factors of m(-58)?\nAnswer: 2, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**4 + 9 - 8 - 21*i**4 - 5 wrt i?\nAnswer: -52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxvxxxxvxxx. What is prob of picking 1 x and 1 v?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34210 = 40*y - 26590. What is the remainder when y is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155800555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.51815 litres in millilitres?\nAnswer: 16518.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4995618, -4995619, -4995620, -4995621, -4995622, -4995623?\n\"Answer: -u - 4995617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 520 - 311. Let r = 244 - n. Let d be 1 + 1 + -3 + 36. Is d >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412*u - 1402*u - 96900 = 0. What is the lowest common multiple of u and 8721?\nAnswer: 87210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g + x, -15 = -5*g + 3*x + 1. Suppose 20 = 3*p + g*p. Let y be p\/(-14)*(-5)\/(-5). What is the closest to -2 in 5, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*t = 1787, -i + 3*t - 68 = -519. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323193, -321766, -320329, -318876, -317401, -315898?\nAnswer: -314361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j**2 + j - 3*j**2 + 5*j**2 - j**2 + (-j**2 + 0*j**2 - j**2)*(2 - 2 + 1) + 3 - 3 + 2*j**2)*(0*j + 0*j - j) - 27*j**3 - 126*j**3 + 21*j**3.\nAnswer: -135*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 5. Let q be b(-7). Suppose -23 = -5*a + 2*z, 7 = 4*a - q*z - 13. Suppose -2*h = a*h - 60. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.42512 rounded to 1 dp?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3857 - 4.6143. What is the closest to u in -4\/67, 3\/7, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from {c: 9, d: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21304, 42604, 63904, 85204?\nAnswer: 106504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.001724 + -35.012676. Let r = j + 35. Round r to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -66*h + 60*h. Let l(v) = 6 + v**2 + h + 3 - 16 - 3*v. What is l(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 8:00 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-180) + (0 - (-6)\/(-15)). What is the nearest to 2\/9 in q, 0.5, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - ((54 - 171) + 110).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by -5\nAnswer: 186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4219.913 litres to millilitres.\nAnswer: 4219913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -19. Solve -d*g - 15 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*y**4 + 14*y - 12*y**4 + 8*y + 11*y wrt y.\nAnswer: -264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025583 - 5.8639.\nAnswer: -5.889483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let o(x) = 7*x + 7. Let j(z) = -6*g(z) + o(z). Let r be j(-7). Which is bigger: r or -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5156425 divided by 4.\nAnswer: -5156425\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 22*t**2 - 20*t - 49. Let p(g) = g**3 + 6*g**2 + 2*g - 1. Let l be p(-4). Let a be q(l). Solve w - 5*w + a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6650.066 to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*6*2)\/sqrt(7) + 1*(3 + sqrt(396)).\nAnswer: 3 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003561030 to the power of 1\/2, to the nearest integer?\nAnswer: 70736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:23 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:05 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 + u**5\/12 - u**4\/24 - 8*u**2. What is w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -1288, -1951, -2634, -3343, -4084?\nAnswer: -4863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025549421 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.0565*20\nAnswer: -41.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*t - 19*t = -54*t - 5326 + 14706 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + 4 + -6 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*3\/6*-10. Find the second derivative of 5*b - 44*b**3 + l*b + 25*b**3 wrt b.\nAnswer: -114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 108749 = -6*h - 9*s, -h + 2*s + 18134 = 0. Does 92 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.2, -0.4, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 239 + 161 = 0. Let a be ((-8)\/30)\/(16\/y). Let 0 - a*v**3 + 2\/3*v**4 - 2\/3*v**2 + 4\/3*v + 2*v**5 = 0. Calculate v.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-31)*n**5\/n**(-4)*(n**4)**(12\/17) assuming n is positive.\nAnswer: n**(-326\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)*(-75)\/(-30). Solve 5*l = -15, 5*x - u*l - 6 = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 93*t - 73. Determine q(2).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 4*h - h)*(-3*h + h - h) + 63*h**2 - h**2 + 55*h**2 as g*h + z*h**2 + t and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - 1*sqrt(33)*5)\/(sqrt(18)\/sqrt(54)) + 0 + 4)**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 146. Let f be 10*11*(-1)\/(-1). Suppose 5*b = -5*n + b + 170, 2*b = 4*n - f. What is the remainder when n is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -62.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307*w**2 - 345*w.\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 - -298. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3906258g?\nAnswer: 390625.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21630 and 16480?\nAnswer: 346080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpppbvbbb. Give prob of sequence ppv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-21)\/(567\/(-297)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - 64. Suppose -11 - 1 = -6*a. What are the prime factors of (6\/18)\/(a\/w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6*28\/(-21). Let z(y) = -y**2 - 9*y - 1. Let c = -13 + 4. Let l be z(c). Sort l, -3, q.\nAnswer: -3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/(-243))\/((-8)\/9). What is the closest to 0.1 in -5, 2\/9, t, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8961 - -15179. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177402516 divided by -6?\nAnswer: 29567086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctrcrktrdtcrtr. What is prob of picking 1 t, 1 d, 1 k, and 1 c?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4))\/(14\/224). Suppose -j*z + 2*z = 0. Solve 5*s = -5*h - z*h, -6 = -4*s + 2*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 53*c**2 - 7*c + 3 - 2 + 14*c**2. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/120 - y**4\/24 - 3*y**2 + 8*y. Let f(g) be the first derivative of p(g). Determine s, given that f(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.13 + 0.07. Let g = 6 - w. What is the biggest value in -2, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0895715 times 5.02?\nAnswer: 0.44964893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -3)*(-4)\/8. Solve 5*x - 25 = -5*b, -10 = -2*b - z*b + 3*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 34*c - 1. What is the tens digit of v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/1368*6*186\/7.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 512\/40 + -12 + (-1 - 46901\/(-5)). What is l rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -120. Suppose 2*i - s = -0*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1477228*f*p**6 + 45*f - 5*p**2 - 94*p - 2 wrt p?\nAnswer: 177267360*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnknnnynnynhnhynh. What is prob of picking 3 h and 1 n?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1011221?\nAnswer: 1011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -430a17 (base 11) to base 7\nAnswer: -5600532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejeeeeeejejeejeejee. What is prob of picking 3 j and 1 e?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2747 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 1420908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.11, 0.5, -0.2, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/(92\/(-48) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -30. Is ((-5)\/1)\/((y + -3)\/381) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 - 569 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m - 239. Calculate b(17).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Suppose 0 = 2*p + h - 18. Suppose p + 1 = 2*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140777 divided by -92.\nAnswer: -140777\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**3 - 4*r**2 + 10*r + 30. Let x(z) = 5*z**3 + 5*z**2 - 8*z - 25. Let t(y) = -3*w(y) - 4*x(y). Determine t(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -9\/1240 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 2*r**3 + 2*r**3 + r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/486)\/(1\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosooososodddsossodo. Give prob of picking 2 s.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 71. Suppose 0*h + 126 = 2*h - 5*z, -5*h = z - 261. Suppose -5*i + w = -h. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-48)*9\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2488794 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4058 (base 10) to base 3\nAnswer: -12120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*p + 18, -p + 5 = -x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32798, 131513, 296048, 526409, 822602, 1184633?\n\"Answer: h**3 + 32904*h**2 - 4*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 8) to base 9\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -29*q**6\/120 + q**4\/24 - 21*q**2. What is the second derivative of y(s) wrt s?\nAnswer: -174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 33*m - 82. Let t(z) = -24*z**2 - 264*z + 657. Let f(n) = 33*h(n) + 4*t(n). Let f(c) = 0. Calculate c.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-515)\/(-1236))\/((-30)\/27)*4\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*n - 2052 + 10921 - 774 = -7081 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -10*w + 18, 0*n - w = 2*n - 6. Solve -p - 8 = -2*h, -n*p = -29*h + 33*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -2\/3 (c) 7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, 5*l - 67 = 15*b - 11*b. Let y(f) = 9*f - 73. What is the units digit of y(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7490, 30482, 68664, 121922, 190142?\nAnswer: 273210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 460\/41 + -2218\/205. Sort l, -7\/2, 3, 0.3 in decreasing order.\nAnswer: 3, l, 0.3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11*w + 7)*(3 - 3 + w)*(0 - 1 - 2)*(-3 - 3 + 4)*(2 - 3 - 1).\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20732\/9 + -3193637\/1386. Calculate the common denominator of 22\/63 and h.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -7*m. Let d be 12600\/1365 - 9*1. Is d less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -61*c + 37*c - 108 + 24*c + 34*c. What is the tens digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1405)\/4215)\/(1*2\/8)*(-234)\/24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453 less than or equal to 4455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = u. Let k(r) = r**3 - 9*r**2 + 6. Suppose 5*z = -0*z + 85. Calculate the remainder when z is divided by k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 9 = 10*w + x + 32, 119*x - 49 = -2*w + 94*x for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 16902 = 17*q. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 3*d - 204 = -11*a, -85*a = -82*a - 3*d + 30 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from hhchdhnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 197, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -5.4. Let o = -3 + c. Let t = 0.8 - 0.3. What is the smallest value in o, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4473 - -4518. Solve -27 + r = -6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 61*m**2 + 6*m - 5. Let y be d(-5). What is y rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7166.561 hours to microseconds.\nAnswer: 25799619600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.718919 rounded to two decimal places?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 707876245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163531?\nAnswer: 29, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/5, 4, 0.1, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from zrwwzrwwr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -137. What is the highest common factor of v and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - -14) + 0 - 60?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9, 340.1, 3, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 205. Let a = v - 189. Factor 3\/7*h + 27\/7*h**2 - 6\/7 - 39\/7*h**3 + 15\/7*h**a.\nAnswer: 3*(h - 1)**3*(5*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6630692*k**3 + 5959762 wrt k.\nAnswer: -19892076*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -59 + 73 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u**3)\/(u\/(u**(-6\/5)*u)*u**(-7)) assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-2 - 0) - -5. Suppose 5*s = u*s, 0 = 2*b + s. Suppose 2*x + b*x - 20 = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8727 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.84 + 3.44. Which is the third smallest value? (a) y (b) 0.27 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-6)\/(-4) - 71*-1. Find the second derivative of 7*l - 76*l**5 + 5*l + 1 + 14*l**2 + d*l**5 - 3 wrt l.\nAnswer: -40*l**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.28 or -23.1?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/4 - 2*q**3\/3 + q**2 - 3*q + 2. What is p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 31, -748 in ascending order.\nAnswer: -748, -0.4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 81532666 divided by -3\nAnswer: -81532666\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -5*o, 0*q + 2*q - 3*o = 4. Suppose 0 = -4*l + 3*y + 65, -48 = -3*l - 2*y + 4*y. Calculate the highest common divisor of q and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 304*u**2 + 147*u - 48334. Calculate p(-305).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= 0.0819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*f + 1254*f + 4075*f - 5 - 371*f.\nAnswer: 5965*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 8*k**2 - 9*k + 4. Let s be h(6). Let d = 43 + s. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -901 (base 12) to base 10\nAnswer: -1297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:29 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0219 - 82.3781. Let v = m + 82. Which is the biggest value? (a) 3 (b) -2 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**15\/(q*q**(3\/4)*q)**(3\/14) assuming q is positive.\nAnswer: q**(-3393\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*i + 3*p - 3, -5*i + p + 16 = 0. Let u(t) = 3*t. Let h be u(-9). Let c = h + 28. Solve -17 + c = -i*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 16. Suppose -2*d = 5*h - 93, -3*h + v*d - 9 = -44. Solve -3*o - h = -5*r, -4*r - o + 7 = -10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ttvtv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*d*h + 7*d + 8559*h with respect to d.\nAnswer: -153*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 10\/8) + 33\/110. Let i(m) be the third derivative of 1\/6*m**4 + 0*m**3 + 0*m + 4*m**2 - h*m**5 + 0. What is the second derivative of i(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*2\/6)\/(-4). Let r = -432\/7 - -62. What is the third smallest value in o, r, 2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.69806 and -0.0662.\nAnswer: -4.76426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 77*b**2 - 257*b - 187. What is the thousands digit of d(73)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57, -91, -139, -207, -301?\n\"Answer: -o**3 - o**2 - 24*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.506 - 1.671. What is the closest to n in 1, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25952 and 378624?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3) - (-2)\/(-3). Suppose f - t*f = -587. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43967034 divided by 103209.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 7*u + 3. Let j(n) = -4*n**2 + 4*n - 2. Suppose -4*b = 2*y - 2, -17 = 4*y - 5. Suppose -f = -0*f, 0 = 5*t + b*f + 30. Give t*z(h) - 10*j(h).\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = -11. Let w be (-4)\/d*(-6 - -1). Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-4) + (-1)\/(-6). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b664 + -3?\nAnswer: 1b661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than or equal to 1982\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5077 to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -1061, -1202, -1341, -1478, -1613, -1746?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -23*d. Let p(b) = 20*b. Calculate u(p(k)).\nAnswer: -460*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -p + 3, p - 4*d = -0*p - 5. Let f = p - -81. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376669*d**2*s**4 + 2*d**2*s + 753*d**2 + d - 138 wrt s.\nAnswer: -1506676*d**2*s**3 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 2094*d - 2094*d.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuauauuasauusuu. Give prob of picking 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.99 times 2?\nAnswer: 51.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/7))**(-16\/3)*y**(-1\/10)\/y*y*y*y**12 assuming y is positive.\nAnswer: y**(1909\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 208 + 458 = 135*f - 3, 37 = 76*h - 72*h + 5*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x + 228 = -25*x + 49*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 105\/4 + (-7)\/28. Let b(q) = q**3 - 5*q**2 - 4*q - 28. Let z be b(9). What is the highest common factor of c and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26423 (b) -0.1 (c) -63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 2 - (-2 - (2 + -9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7433418 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:22 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(832) + ((sqrt(13) + ((sqrt(117)*3)\/sqrt(9) - sqrt(13)))**2 - sqrt(13)).\nAnswer: -33*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3. Let q(s) = -1. Let i(x) = -6*q(x) + 2*v(x). Let p(y) = y - 11. Let l(j) = -6*i(j) - 8*p(j). What is the first derivative of l(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/270265 + 97295\/54053. What is s in -m*s**2 - 27\/5*s - 27\/5 - 1\/5*s**3 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/(j**6\/j)*(j*j\/j**(-1\/2)*j)**46)\/((j**(1\/2))**(-47)*((j*j**(2\/7)*j)\/j)**34) assuming j is positive.\nAnswer: j**(1999\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/44090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-18)\/12)\/((-1)\/2). Find the common denominator of x + 438\/(-176) - (89 - 92) and 45\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40335, 30 in decreasing order.\nAnswer: 30, -5, -40335","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-6) - (-2)\/3. Let h = t + -2. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/4)*j\/(j\/(j*j**16*j*j)))**(14\/9))**(-2) assuming j is positive.\nAnswer: j**(-511\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(135\/10)\/(-9). Suppose -g = 2*g - 6. Suppose -g*l = -3*l. Sort y, l, 4 in increasing order.\nAnswer: y, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 346105871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(((-16)\/(-12))\/2). Solve -2*b = g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 196359*d + 19. Determine j(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r = -84 - 20364. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 2*d)*(-110*d - 507*d + 40*d) - 9*d**2 + d**2 + 2*d**2.\nAnswer: -1160*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.09 + -3.0899631. What is j rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -7 + -3 + -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Suppose 0 = -2*t - 21 - 3. Let a be t\/(-7) + 2\/7. Let g(p) = -75 + 75 - a*p**2. What is w(g(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000704093 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2076521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1185.2 + 1185. What is the second biggest value in r, 0.5, 1, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**3 - 53*x**3 - 3*x + 8*x + 32*x**3 - 7*x.\nAnswer: 6*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-2)*h*h**(-12)*h*(h\/(h*h\/h**2))**(2\/39) assuming h is positive.\nAnswer: h**(-388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - s - 5. Let r(i) = -3*i**2 + i + 4. Let h(z) = 2*k(z) + 3*r(z). Let f be h(2). Let n be 0\/2*(f + -1). Solve -5 + n = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 26 + 23 + 0*u - 11*u**2.\nAnswer: -11*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42114*m**2*o - 4*m**2*z**3 - 2*m*o*z + 2896891*z**3 wrt m.\nAnswer: 84228*o - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 1457364*a\/5 - 265488728562\/5.\nAnswer: -2*(a + 364341)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 92, 0.\nAnswer: 0, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 2*m - 15*m + 5*m - 17*m. Let g(b) = 2*b**2. What is y(g(n))?\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 2360*a.\nAnswer: -5*a*(a + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/14221992 and -27\/56.\nAnswer: 99553944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -43.4. Let g = q + 1.6. Let x = 4.87 - -0.13. Put x, 1\/10, g in decreasing order.\nAnswer: x, 1\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 3. Let h be c(-7). Suppose 0 = 2*s - 5*o + 35, 0 = -3*s + o - 7 - 13. What is the remainder when s\/(-2)*8\/h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-20 - 345\/(-46)) + 12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqaqqq. What is prob of picking 3 q and 1 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4)\/(-63)*35\/30. What is the second biggest value in 1\/3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1633081 (base 9) to base 16\nAnswer: dd99e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*w**5 + f*w**4 + 2*f*w**2 + 71*f*w - 1147*w**4 + 4*w**2 - 5 wrt w?\nAnswer: 60*f*w**2 + 24*f*w - 27528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 571530233?\nAnswer: 3429181398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105\/12)\/((-1)\/4). Let d = 37 + j. Suppose d*c - 197 - 123 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(0 + 0 + -1). Let s(k) be the first derivative of -k**3\/3 - k - 3. Let a be s(-1). What is the biggest value in a, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1835412*l*r**3 - 2*l*r**2 + 2*l*r + 39342*l - r**3 + 3*r**2 wrt r.\nAnswer: 11012472*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65832710 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*i + 0 - 237*i + 0.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:14 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 433697600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 + y + 5. What is z(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1007546 by -2.\nAnswer: -503773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -39, 3 in increasing order.\nAnswer: -39, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2125520, 4251174, 6376828?\nAnswer: 8502482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 10. Let v be o(8). Let w be -2*(0 + v\/(-4)). Calculate the highest common divisor of w and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, 46, 158, 346, 628, 1022, 1546?\n\"Answer: 3*x**3 + 11*x**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.173 - -0.3?\nAnswer: 49.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*16\/(-16).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 14. Let j be r(-8). Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86074354*d**4 - 309084169*d?\nAnswer: -1032892248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00925566881 rounded to 5 dps?\nAnswer: 0.00926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0) + -9 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3945 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -30270780588084\nAnswer: -30270780588098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 3*k**2)*(k**2 + k**2 - 5*k**2 + 2*k**2 - 5*k**2 + 5*k**2 + (1 + 4 - 4)*(-k**2 + k**2 - k**2) + 4 - 2*k**2 - 4).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -349 - -547. Let s = l - 110. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6052463*y + 8983001 wrt y?\nAnswer: -6052463","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 15393.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(4*(sqrt(833) + -5 + sqrt(833)) - 5*(sqrt(833) + sqrt(833)*1))**2.\nAnswer: 3360*sqrt(17) + 22391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, f: 4, t: 2}. Give prob of picking 1 t and 2 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1057\/2 - 546. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*l + q, 4*l - 11*q - 132 = -8*q. Let y be 30\/(-5)*((-115)\/l - -3). Solve -d + 3*s + y = 2*s, -3*d + 2*s + 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (98\/(-11))\/(-4 + (-6 - -14)) and 103\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 10, 4, -2, 153, 15.\nAnswer: -21, -2, 4, 10, 15, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85514 + 0.053110479?\nAnswer: 85514.053110479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(-1*sqrt(144) - sqrt(144)))\/sqrt(6))\/((2*sqrt(200) - sqrt(200))*-3))**2.\nAnswer: 64\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.365 + -0.06?\nAnswer: 25.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 801851885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 430 - 66. What is the third derivative of -s*n**3 - 3*n**5 + 124*n**3 - 11*n**2 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30313111 (base 4) to base 7.\nAnswer: 306424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 38. Let l be 0\/2 + 21\/o. Suppose -5*b = -l*b + 100. Calculate the highest common divisor of b and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168371.\nAnswer: 7, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-7)\/70)\/((-8)\/(-60)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from notnnmmvtvmmmct.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-778*s + 778*s + 755*s**4)*(3 - 3 - 2*s)*(-6 + 2 + 3).\nAnswer: 1510*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17659986 not equal to 17659985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + -a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*b**3 + 467 - 467)*(3 - 4 - 1) + (0*b**2 + 2*b**2 - 4*b**2)*(0 - 2*b + 0).\nAnswer: -218*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*r = -0*q - 795, -2*r - 473 = -3*q. Suppose -39 = -8*s - 7. Suppose 3*a - q = -s*n, 12 = 5*a - a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p**3 + 1\/60*p**5 + 5\/24*p**4 - 3*p**2 + 0 + 0*p. What is the second derivative of w(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-819))\/(1*4\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1675.32*799.\nAnswer: 1338580.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17f8 (base 16) to base 9\nAnswer: -8367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265704 or 265705?\nAnswer: 265705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109164 and 7443?\nAnswer: 327492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.2, 1\/3 in descending order.\nAnswer: 17, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135 less than -8870800082?\nAnswer: -8870800082.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -10. Find the common denominator of -35\/24 and ((w - 2) + (-94)\/(-24))*-154.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l = -144*l + 1315622. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 + 20 = 0. Let v be 2*(-2 - 2*-6). Let n = d - v. Which is greater: n or -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7430*b**2 + b - 97 wrt b.\nAnswer: -14860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10765 (base 12) to base 9\nAnswer: 32835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(2\/3)*p)\/p)\/p*p)**37\/(p**(1\/4)\/p)**(-35))\/(p\/p**(3\/4)*p\/(p\/p**(-1\/3))*(p*p**(-1))**(2\/27)) assuming p is positive.\nAnswer: p**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5648246?\nAnswer: 2, 2824123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -186*r**2 - 12*r + 37. Let v(a) = -186*a**2 - 14*a + 36. Let t = 471 + -477. Let m(s) = t*v(s) + 7*d(s). Differentiate m(o) wrt o.\nAnswer: -372*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -2, -22, -58, -116, -202, -322?\n\"Answer: -s**3 + s**2 - 6*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -1 - (-14 - -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 - 0.2317.\nAnswer: 1.6683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-72)\/(-30))\/(-12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1854)\/(-824))\/(3\/(-16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 68, 153, 270?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*40.4.\nAnswer: 129.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47\/5 + (-6)\/(-10). Suppose -v - 2 = -2*x. Let f(y) = y**3 - 6*y**2 - y + 10. Let s be f(x). Solve -3*b + 19 = 2*g + 2*g, 2*g = s*b - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1) - 1)*(-10)\/2. Put -59, o, -2, -4 in decreasing order.\nAnswer: o, -2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 408*a + 77. Let p be g(21). Which is smaller: p or -617?\nAnswer: -617","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 10*r - 2*r**2 + 8*r)*(r - 3*r - r + (-1 + 2 - 5)*(6*r + 11*r + 8*r)).\nAnswer: 206*r**3 - 412*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 12:18 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2228504 by -278563.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v = -29*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(77)\/((sqrt(14) + sqrt(28)\/sqrt(2))\/sqrt(2)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5953 (b) -0.1 (c) 5\/3 (d) 2\/19 (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026988.\nAnswer: 2, 3, 11, 45659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 56.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61cd0 + 2?\nAnswer: -61ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 3. Let o(t) = -4*t - 2. Let y be ((-42)\/(-15) + -4)*(1 + 4). Give y*o(w) - 5*v(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 302*j**3 - j + 238. Let p(z) = -3*z. Determine p(f(r)).\nAnswer: -2718*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*z + 28*z - 3*z)*(17 + 244*z + 262*z - 523*z) to t + r*z**2 + v*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1917 - 0.19233032. Round i to 6 dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12964*0.38.\nAnswer: -4926.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -42\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 79052776.1 to the nearest one hundred thousand.\nAnswer: 79100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 3*q - 3. Let t(w) = 40*w - 56 + 9*w + 96*w**2 + 7*w. What is -56*s(i) + 3*t(i)?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 - 9*b - 3. Let y be i(-4). Suppose -2*z + c + 0*c + 31 = 0, c = -z + 20. What is the greatest common factor of y and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -170. Let v(w) = c - 42 - 2*w + 3*w - 46. Give v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 8*y)*((-2*y**2 - y**2 + 5*y**2)*(18*y - 43 + 43) + 6*y**3 - 4*y**3 + y**3).\nAnswer: 312*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17970, 35983, 53996?\nAnswer: 72009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -60\/53, 67?\nAnswer: -60\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:03 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 105. Let w be t(22). Solve 2*k + 0*g = -2*g - 6, -9 = w*k + 2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2916299*m**4 + 62*m**3*n - m**2*n + 5*m*n + 54522*m - 8 wrt m?\nAnswer: -69991176*m + 372*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089247.\nAnswer: 29, 72043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 3. Let p be x(6). Let a be p\/((-6)\/8) + 1. Suppose 2*z + f = -5, 4*z + f + 0 + a = 0. Solve q - 4*l = -z*q + 3, -4*q = l + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*7\/4*78\/(-14). Let g = v - -116. Let q be g\/((-18)\/168) - 3\/9. Solve 5*l - 27 = -y - q, 4*l - 5*y = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3244 is divided by 110.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 68894 + 68902 - 4*p + (-1 - p + 1)*(3 - 1 - 3).\nAnswer: -6*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4851 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13*1*(-2 + 1). Let w = b - 8. Suppose 649 - 545 = 20*l + 6*l. Solve 4*h + w*v = h + 22, -l*h = -4*v - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-319)\/(-22))\/(-36*(-12)\/96)\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*1 + sqrt(68) + sqrt(68) + sqrt(68) + 2*-2*sqrt(68) + sqrt(68))\/((sqrt(1296) - (4*sqrt(1296) + sqrt(1296)))\/sqrt(9)).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-355)\/(-4) - (27\/12)\/3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47\/60 - 7\/12. Let h = 343 - 351. Which is the nearest to h? (a) -0.1 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 a factor of 139203135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 1 (b) -10 (c) -80\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 12 - (7 + -13). Let d(b) = b**3 + 3*b**2 + 5. Determine d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 10, -24\/13, 83, -0.4, -5?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26387 times 0.5\nAnswer: -13193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -71. Let i be ((u + 4)*-1)\/((-2)\/(-6)). Let x be (0 - -1)\/i - (-732002)\/6. Round x to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*b = 8, -16*c + 24*c = b + 34. Solve -g = -7*q + 12*q - 15, 3*g = c*q - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113244.1377 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-20 + (91 - 42))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 3, d: 3, t: 2, w: 11}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-54)\/417)*(-72)\/(-2592)*108.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 5*u + 5. What are the prime factors of p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 34. Let l be ((-3)\/(-2))\/(i\/(-14)). Let v = 32 + -25. Solve 2*y - 2*s + 6 = -0*y, -5*y - l*s - v = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 51*o**4\/4 - 28*o**3\/3 + 3*o**2\/2 - 351*o. What is the second derivative of f(d) wrt d?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 10 - (-2 + -19)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 20*z**2 + 9*z + 24. Let k be o(-8). What is the greatest common factor of k and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, -3\/5, -5, 4, -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 406631941?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -21547.502 to the nearest 10.\nAnswer: -21550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110 - 1111111010111100?\nAnswer: -1111111001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2718*k**3 + 2692*k + 868*k**3 - 2692*k.\nAnswer: -1850*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 2*p - 6. Determine y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 659?\nAnswer: 5272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65872079 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = -3*p. Let m be 12\/p*(7\/(-3) + 1). Differentiate -9*b**2 - 10*b**m - 15 - 5 with respect to b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -99654.\nAnswer: -41\/16609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2033 (base 8) to base 16\nAnswer: 41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 618 and 613 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 10.01. Let y = -1.11 + w. Let z = y + -1.9. What is the biggest value in -2\/13, z, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 41*t + 18. Let o(i) = 4*i**2 - 27*i. Calculate q(o(x)).\nAnswer: 164*x**2 - 1107*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**2 + 1148777*h - 459510 = 0.\nAnswer: 2\/5, 229755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1340)\/60 + 22)\/((-670)\/(-108) + -6)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2*-14)\/((-4)\/(-20)*(2 + 13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10548612*c**5 + 45*c + 87686 wrt c?\nAnswer: -210972240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 371, 1299, 2793, 4871, 7551, 10851, 14789, 19383?\n\"Answer: 3*k**3 + 265*k**2 + 112*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) - (774\/165)\/(-6). Which is the closest to -3\/5? (a) x (b) 0 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19245 - 18137. Calculate the remainder when p is divided by 112.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, 4429.3, -2\/11, -0.09, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2543869*h**4 + 87*h + 328348.\nAnswer: -30526428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let k(j) = 2*j + 1. Let r(i) = i + 4*i - 2*i - 2*i + 1. Let x(t) = 4*t + 4. Let f(q) = 5*r(q) - x(q). Let h(g) = -f(g) + k(g). What is h(p(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cad8a + -2?\nAnswer: cad88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007335 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 4*n**3 - 36*n**3 + 4*n**3 + 25*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let n(m) = -2*m + 55. Is n(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.346 rounded to 1 dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -29 - 27 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, o: 4}. What is prob of picking 2 o and 1 u?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 93. Let k(b) be the second derivative of -b**3\/3 + 4*b**2 - 2*b - 48. Calculate k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(4\/5)*f*f**(-4\/7))\/(f**(2\/7)*f*f*f*f\/(f*f*f*f\/(f*f*f**(-2\/7))*f*f)*f*f*f) assuming f is positive.\nAnswer: f**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 23 + 14. List the prime factors of 0 - -1 - v - (-210 - -25).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1074 and 32910?\nAnswer: 5890890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758178 divided by -5?\nAnswer: 2758178\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4638 + 9276. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*2 - -3. Suppose -6*k + 0*k + 30 = f. Suppose k*i = c - 2*c + 47, -5*i - 3*c = -51. Solve 0 = 4*o - i - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/686 and 19\/3.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8747 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 - 7 - 1167*b - 4 - 12 + (b - 2*b - 4*b)*(-1 - 2 + 2).\nAnswer: -1162*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -1\/6*j**3 + 0*j**4 + 0*j**5 + j + 0 + 1\/10*j**6 + 0*j**2. Find the second derivative of u(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*j - 475 = -3*s, -4*s + 1830 = -2*j. Let i = 765 - s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067736, 1067732, 1067728, 1067724, 1067720, 1067716?\nAnswer: 1067712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 28*z + 45. Calculate x(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swfv when four letters picked without replacement from jfvwbsj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 13*i - 119. Let q be 58\/(-68)*6 - 2\/i. Sort -3, 4, 3, q in decreasing order.\nAnswer: 4, 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -2 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 - 2*u**3\/3 + 6*u. Let i be c(-2). Solve v + 0 = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976713*l + 976774*l - 1953289*l.\nAnswer: 198*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {i: 6, o: 3, j: 1, s: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104381 by -13.\nAnswer: 104381\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 - j**2 + 4*j + 6. Let l(d) = -7*d**3 - 5*d - 7. What is 5*k(q) + 4*l(q)?\nAnswer: 2*q**3 - 5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Let p(n) = -n**3 + 2*n**2 + 4*n - 1. Let r be p(u). Suppose 0 = t, -o + 2*t + 14 = -0*t. What is the highest common divisor of r and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52847 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 + 0 - (32 - 28) is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcr. What is prob of sequence rfc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2095 + -2091. Let a(x) = x**3 + 5*x**2 + 3. Let j be a(-5). Solve n*h = h + j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 18*d + 7. Give t(10).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 115 = 3*p. Suppose -5*o = -47 - p. Calculate the highest common factor of o and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (14\/(-35))\/((-4)\/10)*49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39363385 to the power of 1\/2, to the nearest integer?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/16)\/((-4)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 4*l + 17. Let n(t) = 2*t**2 - 3*t - 18. Determine -3*k(v) - 4*n(v).\nAnswer: -2*v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h - 6. Let r be w(2). Suppose r = p - 3*y, 0*p + 3*y = -p - 6. Solve -13 + 1 = p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 0.343. Let o = -0.033008 + y. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezjjajjeez. What is prob of picking 1 e and 2 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77\/1737 - -30\/193. Let d = 6 - 6.4. Are d and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263895*v**3 - 50331*v?\nAnswer: -1583370*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/19253520 and 51\/1936?\nAnswer: 19253520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40620 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 792*v**2 - 32*v + 48. Let l(x) = -794*x**2 + 36*x - 54. Let p(h) = 8*l(h) + 9*n(h). Let z(b) = -7*b**2. Determine z(p(i)).\nAnswer: -4215232*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:53 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3\/2, -16789, -33, 2 in decreasing order.\nAnswer: 10, 2, -3\/2, -33, -16789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3813889*m**4 - 18801*m**2 - 21*m.\nAnswer: 91533336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - (-4)\/18. Let t(s) = -s + s + s + y. Let m(i) = i. Let g(c) = c. Let b(a) = 3*g(a) - 4*m(a). Give t(b(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 200 and 0.0777977298?\nAnswer: 199.9222022702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 255825.\nAnswer: 6651450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 - (7 + 15)) - -14\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-26)\/(-65) - 6\/65\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 1.3. Which is the closest to 6? (a) -2\/7 (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m**2 + 20*m - 1. What are the prime factors of u(8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18 + 12*d + 20*d - 34*d. Let n be i(16). Let f be (8\/(-5))\/(n\/35). Solve -l - 12 = 5*z - 2*z, f*z = l - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2376 and -53\/36384039?\nAnswer: 3201795432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(90)\/sqrt(3))\/sqrt(10))*-6 - ((sqrt(1331) + -1*sqrt(1331))**2 + -2 + (sqrt(1331) - (5 + -1*sqrt(1331)))).\nAnswer: -28*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(24)\/sqrt(4)) - (-1 + sqrt(3) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 4 (b) -3\/394 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 5*c**2 - 8*c**2 + (0*c + c + c)*(-c - c + c) in the form y + o*c + l*c**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384758?\nAnswer: 2, 11, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411067217?\nAnswer: 3, 7, 67193677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22321 (base 5) to base 16.\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a*g*l*o**2 + a*g*l*o - 8*a*g*o**2 + 2*a*g + 63*g*l*o + 2*l*o wrt o?\nAnswer: -20*a*g*l - 16*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 1 (c) -14 (d) 0.7 (e) 2.1 (f) -1 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 98.\nAnswer: -36\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10435*i**2*m**2 + i**2*m*y - 55*i**2*y + 7*i*m**2*y - 3*i*m + 84*m**2*y - 293*m*y + m wrt i?\nAnswer: 20870*m**2 + 2*m*y - 110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = 5*y, -3*p - y + 27 = 3*y. Is 457\/p + 6\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16*d**2 - d + 7. Let n(w) = 5*w**2 - 2. Let q(p) = -p**3 - 28*p**2 + 61*p + 28. Let r be q(-30). Give r*b(m) - 7*n(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -12012012212?\nAnswer: 12012012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 0.11 (c) -3\/2 (d) 205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40871 is divided by 38805?\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(64)\/sqrt(8)*-5)**2.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2.3, -2\/95, 0.4, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/3360 + x**5\/30 + x**4\/6 + 4*x**2. Let c(s) be the second derivative of m(s). Differentiate c(p) with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 + 4108\/(-39). Let w(t) = t**3 - 6*t**2 - 6*t + 3. Let o be w(5). Let j = o - g. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 68989.\nAnswer: 20696.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/300 and -13\/3760005.\nAnswer: 75200100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -648022 (base 12) in base 9?\nAnswer: -2882688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 5*y = 7*d - 96, 48 = -2*d - 2*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (330\/(-110) + (-2 - -4)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1095, -1092, -1087, -1080?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 - -121. What is the closest to 2 in 1\/2, l, -1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9. Suppose z = 3*r + 3*s - 3, s = 2*r - r - 5. Suppose h - 6*h + 55 = 2*f, -r*f = -5*h - 45. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-18))\/((-1)\/3). Let v be ((-13)\/m)\/((-2)\/(-4)). Let w = v + -1. Solve 0*j - 4*j - w = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67342632 a multiple of 2247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 10*t - 12*t. Let r(o) = -3*o**3 - o**2. Let m be r(t). Let s = 22 - m. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295896 times 2?\nAnswer: 0.591792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 8. Determine b(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.365*-14\nAnswer: -5.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 - 45*v**3 - 45*v**3 - 2*v + 4*v + 132*v**3 - 44*v**3 as q*v**3 + p + m*v + j*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/23)\/(-4)*(-57)\/(-342)*4.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -21, -48, -95, -168?\n\"Answer: -d**3 - d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6743 - 6720. What is the remainder when 294 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f - 1. Let k be w(-1). Suppose 4*t - 168 = -g, k = 2*t + t + 2*g - 121. Let i = 80 - t. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 - -224.1. Let w = k + -30. Let s = -11 + 15. Which is the closest to w? (a) -3\/5 (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.003 (c) 5\/12672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 824738 - -2?\nAnswer: 82473a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + (sqrt(34) + sqrt(34) + sqrt(238)\/sqrt(7))*-4)\/((sqrt(56)\/sqrt(7))\/sqrt(4)).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7b2b (base 15) to base 6\nAnswer: -321005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 3*l**3 + 19*l**2\/2 - 25*l. What is the first derivative of h(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3\/3 - 11*s**2\/2 + 7*s - 4067. Suppose -w - 9 = -2*w. What is h(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3522*f - 10565*f + 3524*f + 3523*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.4102 - 6.991. What is x rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76781 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3393\/78039*-2*6\/(-3).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767189.\nAnswer: 3, 7, 137, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4 - 8*m. Suppose -q = q. Let p(k) = 2*k**2 + 0*k - k**2 + q*k. What is l(p(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -328173\nAnswer: -1\/109391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1234\/5? (a) -2\/3 (b) 0 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/73685 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 792 = 5*z. Calculate the greatest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 4 + 17003*s**2 + 0 - 17008*s**2. Let u(m) = m**2. What is n(u(g))?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m**2 + 5*m + 5. Let g be t(-1). Which is the smallest value? (a) 2 (b) -3 (c) -1\/2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256637 (base 9) to base 5\nAnswer: -14441142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*v + 109 = 0, -m - 105 = -2*m - 2*v. Suppose 5*a - 1340 = 5*h, a = -2*h + 158 + m. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 541\/7. Let s be (78\/171)\/(8\/8508). Let v = s - 485. Which is the closest to u? (a) v (b) -2\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 2*x + 0*x as q*x + h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 110\/2551, 5, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 35134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -17 - -26 - (-6 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/5))**49\/(c*c**(2\/11)*c)**(-28\/3) assuming c is positive.\nAnswer: c**(2737\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**6 + 11*m + 0*m**5 + 0 + 0*m**2 + 2\/21*m**7 + 0*m**4 - 1\/2*m**3. Find the second derivative of s(x) wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116\/13*f - 64\/13*f**3 - 2\/13*f**4 + 0 - 178\/13*f**2 = 0 for f.\nAnswer: -29, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589459914 to the power of 1\/3, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2860*r**5 - 19297*r**2 + 999930642*r?\nAnswer: 57200*r**3 - 38594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 45. Let p = w + -6. Solve 4*k = -t - 0*t, p*k = 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 181, 432, 851, 1438?\n\"Answer: 84*i**2 - i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.35 (c) -4.498914\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + w + 5*g = -23, g - 17 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3484 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/560)\/(36\/15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 7. Let i(f) be the second derivative of 3*f**4\/4 + 7*f**3\/6 + 7*f**2\/2 - f. Let w(k) = 8*k**2 + 6*k + 6. Calculate u*w(b) - 6*i(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14103, -25040, -35977?\nAnswer: -46914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*p + 36*p + 25*p - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133 - 4300563?\nAnswer: -4300716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxaaaraxrxraa. What is prob of sequence raxr?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = x - 18, 22 = -3*x - 4*x - 2*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3448 - -3450. Factor 12\/7 + 2\/7*b**n - 2*b.\nAnswer: 2*(b - 6)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5915680 divided by 1183136\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/1421, 1\/7, 1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 33, 17, -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 22*b**2 + 22*b - 235. Give u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, -4, 4 in increasing order.\nAnswer: -7, -4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756604661.\nAnswer: 139, 487, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242437547.\nAnswer: 11, 22039777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(833) + 2)**2*1.\nAnswer: 42*sqrt(17) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 - 3*y + 385. Let i(x) = -3*x**3 - x**2 + 4*x - 377. Let g(z) = 3*i(z) + 4*p(z). Differentiate g(q) with respect to q.\nAnswer: 21*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(-50)*i*i**(2\/3)*i**(1\/2) assuming i is positive.\nAnswer: i**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8780121 and -0.2.\nAnswer: -1756024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 747*b**3 + 1503*b**2 - 753*b.\nAnswer: -3*b*(b - 1)**2*(b + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2200 and 4876025.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + i**5 + 2*i**4 + (-2*i**3 - i**3 + 5*i**3)*(-i**2 + 0*i**2 - 5*i**2) + 0*i**5 + i**5 - 2*i**5.\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1408*u**2. Let f(b) = -6475*b. Calculate f(a(y)).\nAnswer: 9116800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 4. Let p = 49 - 41. Determine z(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, s: 4, t: 3, y: 2}. Give prob of picking 1 s and 1 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3232259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, k: 3, w: 1, j: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 1)**2 - (1 + sqrt(75)).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 - -0.17. What is the second smallest value in 4, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((2 - 7) + 2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -i + 2*i - n - 4*n, 0 = 5*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 12899331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 3\/13 (c) -0.1 (d) 2 (e) -47\/7 (f) 0.5 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-11*9*(-21)\/1134*-6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250480 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -26. Put h, 0.3, 4 in descending order.\nAnswer: 4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.065 + -0.035. What is the third smallest value in 2\/7, u, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 - 6*s + 7. Let t be r(6). Let z = t - 1. Calculate the smallest common multiple of z and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 8. Let r = -85 - -89. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 + 6 - (-3 + 42 + -19)) + 27\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 303, 301, 297, 291, 283?\n\"Answer: -n**2 + n + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14*(-252)\/312*(-3)\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 404, 400, 394, 386, 376, 364, 350?\n\"Answer: -h**2 - h + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 13. Let w(t) be the third derivative of t**4\/8 - 7*t**3\/6 + 7*t**2. Suppose -210 = -2*u - 222. Give u*s(f) - 11*w(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*c + 49 = 0, -5*c + 12 = 10140*p - 10142*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 5, i: 4}. Give prob of picking 1 i and 1 y.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2\/2*(-16)\/(-12). Suppose 4*u + 49 = 3*k + 18, -h*u - 5*k = -9. Which is the second smallest value? (a) -5\/3 (b) u (c) 1\/60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.1283452 rounded to one decimal place?\nAnswer: 39.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + c + 2. Suppose -4*p + 13 = -5*q, 4*p = p + 5*q + 11. Calculate the smallest common multiple of h(p) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104212*2.\nAnswer: 208424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i + 2. Let m(x) = x - 6. Let g be m(8). Let d be -2 - 1 - -3*g. Let t(y) = y**2 - 2*y + 2. Give d*q(k) - 2*t(k).\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(96\/200) + 1\/3. What are the prime factors of 271 - -4 - (5 + u)*1?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*h + 681*h + 1706*h.\nAnswer: 2230*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 5*f - 49, 3*z - 4*f = 29. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 9:00 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-63)\/14)\/(-1 - 1\/(-2)). Solve -2*w - 3*m = k, 0 = -w - 0*w - 4*m - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/36360450 and -61\/148410.\nAnswer: 36360450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.267539 micrometers?\nAnswer: 0.000008267539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 101.1346?\nAnswer: -50.5673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155705 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -433, -317, 277, 1511, 3547?\nAnswer: 6547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 7. Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/17 (b) -8.73 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*65\/(-60)*-1 + -3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 36*c - 312 = 0. What is the lowest common multiple of c and 177?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 620*c + 5667. Let p be a(-9). Calculate the greatest common factor of p and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7938 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112811999*s**3 + 238970787?\nAnswer: 338435997*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) + (19 - -66). Let x = b + -77. Solve 2*l + x = -2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 102. Let x = 50 + c. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14162 is divided by 1701.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 141898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 126, 208, 348, 564, 874, 1296?\n\"Answer: 3*o**3 + 2*o**2 + 15*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - -11 - (24 + -2 + 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 2*w**2 + 6. Let i(o) = o**2 - 2. Give 2*i(u) - r(u).\nAnswer: 2*u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -11100110100000?\nAnswer: 11100110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1713*r**3 + 6180*r**2 - 6852*r - 24720 = 0.\nAnswer: -2060\/571, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -12, -211, 8.\nAnswer: -211, -12, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -139. Which is the second biggest value? (a) 0.8 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 823 = -3*g, -18*g + 1093 = -14*g - x. Suppose 243 + g = 3*t. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -0.1?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1039*t**4 + 2633*t**3 - 2*t**2 - 7470*t - 556 wrt t.\nAnswer: 24936*t + 15798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i + 0*i - 2 + 2 + 1.\nAnswer: 30*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*4\/(-8) + 11924. Suppose -7*i + 21928 + s = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 12*y + 29. Let a(t) = -10*t**3 + 2*t**2 - t - 1. Let x be a(1). Let q be k(x). What is the greatest common factor of 36 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -7?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(19) - 5*sqrt(76)) + 2)**2.\nAnswer: 36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5537656384016273\/1362851197900816 - 6\/22362352289. Let z be 2\/2 - 15248\/15236. Let r = g - z. Find the common denominator of r and -37\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 46?\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 13) + (26\/78)\/(-1) + 10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -14332144?\nAnswer: 14332202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfft when four letters picked without replacement from {f: 7, t: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:00 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 13 + 4609*z - 4877*z - 4 to the form k + o*z and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-165))\/(-4)*-5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 + 3*g**4\/8 + 19*g**3\/6 - 697*g**2. What is f(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75957 + 932*o**3 - 3265*o**3 + 73717 wrt o.\nAnswer: -6999*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4 = -y, 216 = 4*j - 4*y. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 50. Let h(r) = -2*r - 11. Suppose 4*x - 21 = -1. Let v be h(x). Calculate the remainder when 66 is divided by a(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 363746 (b) -0.18 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 5881410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/5*k**3 - 32\/5*k**2 + 4\/5*k**5 - 16\/5*k + 8\/5*k**4 + 0 = 0. Calculate k.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a decade in years?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2013.478.\nAnswer: -4026.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, f: 2, m: 2, v: 1, u: 1}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17368.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, w: 1, r: 1, l: 2, k: 1}. What is prob of sequence rrhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.05, -113, -5 in ascending order.\nAnswer: -113, -5, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*f*g**3 + 2*f*g**2 + 96159*f*g - 2*f + 20*g**2 wrt g.\nAnswer: -2448*f*g + 4*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -63. Let b = t - 19.8. Round b to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -159, -378, -705, -1152, -1731, -2454, -3333?\n\"Answer: -2*y**3 - 36*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.001 (c) 11 (d) 1.5 (e) 1\/10 (f) -0.5 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19194197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1135, -54 in decreasing order.\nAnswer: 2, -54, -1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2728660488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 7:34 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 46*h + 458. Determine u(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2282 = m + 5*u, 2*m + 4*u + 6655 = 2043. Which is smaller: m or -2324?\nAnswer: -2324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - k**2 + 4*k**2 - 125.\nAnswer: -7*k**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34273835 divided by -8329?\nAnswer: 4115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose 0 = p + p + 12. Let v = h - p. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 1. Let g(u) = -u**3 + u**2 - u - 11. Calculate g(r) + z(r).\nAnswer: -r**3 + 2*r**2 - r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453856 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from glgllbgllg.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -138387, -138397, -138429, -138495, -138607, -138777, -139017?\n\"Answer: -2*r**3 + r**2 + r - 138387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(31\/(-1860)). What is the highest common factor of t and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -2*v**7\/7 - 3*v**6\/10 + 63*v**5\/20 - 17*v**4\/4 + 3*v**3\/2 - 54*v - 3. Determine l so that i(l) = 0.\nAnswer: -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 4)*(4 - (-9)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 0*q - 39476 + 0*q - 6*q + 5*q.\nAnswer: -3*q - 39476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1106*b + 8847. Let w be c(8). What is the nearest to 2\/3 in 1.74, -0.4, w, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58969?\nAnswer: 109, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = r - 590. Let l(w) = -2*w**2 - 59*w + 64. Is 34 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-74490)*-3)\/(3\/5*(-34)\/51).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + m + 5)*((-2*m + 1 - 1)*(-4 + 2 - 1) + m - m - 2*m - 4*m + 0*m + 2*m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - l + 902 = 232, 7*u + 338 = -l for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-6)*(-5166)\/2009?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2360800, -4721536, -7082272, -9443008, -11803744?\n\"Answer: -2360736*c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccsc when four letters picked without replacement from {s: 5, d: 2, c: 3}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 5*c + 12. Let f = c + 8. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5592\/120)\/(1 + (-8)\/10) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*x - 104*x + 89*x as a + c*x and give c.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.59274 rounded to 1 decimal place?\nAnswer: 45.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150\/7 - 22. Let p = 64.4 - 69.58. Let w = p - -0.18. Put 3\/5, w, c in descending order.\nAnswer: 3\/5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33002, -32958, -32912, -32864?\nAnswer: -32814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28378768499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796 divided by 2?\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - -110010110010100000111110?\nAnswer: 110010110010100000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 11*k**3 + 3*k - k.\nAnswer: 11*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -9. Let l be 2\/k + 607\/11. Let a = l + -9. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 711691 + -1261691. What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*z**3 + 37*f**2 + 113*z**3 wrt f.\nAnswer: 6*f*z**3 + 74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 84. Suppose 5*l - 2*l = -3*k + 9, -4*l = -2*k - m. Solve 3*a = 4*a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17033*h**2 - 6870*h**2 + 4619*h**2 to the form s*h**2 + f*h + z and give s.\nAnswer: -19284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1894 - -152. Let b = 2881 - x. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 70. Suppose -5*m - 3*f = -6*f - 22, -2*f = y*m - 17. Is ((-6)\/m)\/((-16)\/73240) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = 0, -4*i + 22272 = 169*g - 166*g. Calculate the highest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 - 18 + 10 - g**4 with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 132 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20232203 (base 4) to base 16\nAnswer: 8ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*s - 7391 = -60761 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112858.\nAnswer: 2, 73, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 6. Let o = -26 + 32. Let n(b) = -5*b + 7. Let d be (5\/(5\/7))\/1. What is d*w(a) + o*n(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 3*h**3 + 4*h**3)*(15*h + 722 + 717 - 1437).\nAnswer: 30*h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 6*a + 82. Calculate the greatest common divisor of 65 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 305.56 from 631324.\nAnswer: 631018.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 198?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8628525 minutes to seconds.\nAnswer: 51.77115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*t - 29, 10 = -0*p - p - 5*t. Suppose 7365 = -p*d + 1795. Let v = d - -3914. What is v rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1\/8*o**4 + 0*o**3 - 24*o**2 + 0*o + 0. Let d(x) = 5*x**2. Calculate f(d(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -645 - -642.31. Let c = o + 2.8. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3699*j - 270029. Calculate v(-73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 19*i + 234. What is s(-10)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -215*j**2\/2 - 4*j + 33. What is the hundreds digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 minus 13.82495263089?\nAnswer: -18.12495263089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15014?\nAnswer: 2, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mwzmmmmmmmmmmmm?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -1389639.\nAnswer: -1389635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12101451 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*v - 4*v = -147, 4*v = -2*n + 90. What is the highest common factor of 51 and n?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34901613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -13318804091 and -83.\nAnswer: -13318804174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(4 + 1 - 4)*(-6 + 0 + 4)*(-4 + 4 - j**3).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.38 + -392.38. Let d = r - -386.8. Which is the nearest to 1? (a) 4 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5190346 and -0.05?\nAnswer: 259517.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36525, -73043, -109561, -146079?\nAnswer: -182597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116287484 a multiple of 7298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795961, -795972, -795985, -796000, -796017?\nAnswer: -796036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 11 + 4)*(-p + 0*p - 17 + 19).\nAnswer: 18*p - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y + 4. Calculate a(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 5, -1, 1, -3, -6 in decreasing order.\nAnswer: 5, 1, -1, -3, -6, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/404219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10192*v**3 - 805*v + 1 wrt v.\nAnswer: 61152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.803 - 11.997. Sort -0.4, s, 0.2.\nAnswer: s, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 + 30*t**2 + 434*t - 243*t - 191*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/16)\/(3\/(-2)). Let j = 13.9 + -10. Let i = 0.1 + j. What is the smallest value in i, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 176 and 151906.1751?\nAnswer: 151730.1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*t + 11. Suppose 0 = -t*m - 3*u + 12, 0 = -5*m - u + 6*u + 80. Does 23 divide ((m + 0)\/2)\/2 + 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 2*q - 12. Let k be c(-5). Let g = 50 - k. Calculate the highest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2. Let i(a) = 572*a**2. Give i(v(l)).\nAnswer: 28028*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 + 375. Let g = -18 + 34. What is the greatest common divisor of i and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 922730807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/((-1)\/2). Let l(w) = 250*w + 4. Let u be l(3). Let m = u + -752. Solve 0*z = 5*t + m*z - 1, 3 = -x*t - 3*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 9:22 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6619932ug?\nAnswer: 0.0000000006619932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 233 and 698\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 m, and 2 v when four letters picked without replacement from nwvvnvnvnvmnumuv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 6*p + 10. Let q be z(7). Suppose -q*u - u + 32 = 0. Suppose -2*y - k = -5*y + u, 3*k + 6 = 3*y. Solve r - 4*f = 25, r + y*r + 3*f = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 4 - 35\/(-10). Suppose 22 = 5*u - 6*u + 5*r, -2*r = -10. Factor 0 + y**u - 1\/2*y**5 - k*y**4 + 0*y + 0*y**2.\nAnswer: -y**3*(y - 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2197, -0.06 in ascending order.\nAnswer: -0.06, 2, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 18*w - 5. Let p be x(9). What is the closest to 10 in 0.2, p, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m - 2. Let t be k(0). Let a(w) = 5*w**2 + 4*w**2 + 2*w - 1 - 2*w**2. Is a(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179542 is divided by 4080.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 q when four letters picked without replacement from {q: 2, v: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 6132 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656998103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2225 and 614901?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m**6*m**(-5\/2)*m*m**1)**(-8\/7) assuming m is positive.\nAnswer: m**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000802575 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 36*s**2 + 15*s + 27. Let d be k(-8). Suppose -5*j = -d - 1554. Suppose 3*y = -4*g + j, -2*g - 2067 + 812 = -5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (81 - 87)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/13023 and -40\/3124073.\nAnswer: 28116657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346866*t + 346866*t + 8*t**3 + 7*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 4*f + 3. Let c(a) be the third derivative of -5*a**2 + 0 + 0*a + 1\/12*a**4 - 5\/6*a**3. Let l be c(4). Give q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 147. Let t(w) = 16*w + 25872. Let r(s) = -528*k(s) + 3*t(s). Let f(a) be the first derivative of -a**2 + 3. Calculate f(r(x)).\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43 from -68708191.\nAnswer: -68708148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824 less than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 11 + -2 + -10 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475 a factor of 556457300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 16834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*v + 45 = 128*v. Let d(y) = 13*y - 43. Let j be d(v). Which is smaller: j or 24?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2429.\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d = 21*d + 511 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*i - 1047, -5*w - i + 1868 = 129. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.70825 years in millennia?\nAnswer: 0.09670825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34422, 0.1, -110.\nAnswer: -34422, -110, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 14. Let t(f) = f**3 + f**2 - 3*f + 4. Let z be t(2). What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9243)\/78)*-3?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 123*r - 37 + 37.\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -16*g**2 - 35*g + 13. Let z(y) = -17*y**2 - 31*y + 10. Calculate -4*h(u) + 5*z(u).\nAnswer: -21*u**2 - 15*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 14. Let u be x(-2). Suppose -5*k - 1040 = -5*j, -2*j - k = u*j - 832. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100112102 + 1?\nAnswer: -100112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and -52 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -61, -60?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n**2 - 5 - 17*n - 1 + 2*n**2. What is the units digit of p(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 1904 = 3542. What is the first derivative of -3*f**2 + j - 340 + 4*f**2 + 57*f**4 wrt f?\nAnswer: 228*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1205104405 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59717 - 59712. Suppose v + 4 = j - 0, v = -j - 2. Put -1\/7, v, r in increasing order.\nAnswer: v, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*23.4\nAnswer: -3.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1023 - 896 + 2319)*(2*b**2 + 0 + 0 - 50 + 18*b**2 + 50 + (b + 1 - 1)*(2*b + 1 - 1)) to the form d*b**2 + p*b + k and give d.\nAnswer: 8800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2014*u**2 + 4*u**4 + 4034*u**2 - 2018*u**2 - 2*u - 201 + (-2*u**2 + 2*u**2 - 2*u**2)*(-4*u**2 - 4*u**2 + 6*u**2) - 2*u + 2*u + u**4.\nAnswer: 9*u**4 + 2*u**2 - 2*u - 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 418*b - 729*b - b**4 + 617*b + 2*b**3 + (4*b**2 - 4*b**2 - 2*b**3)*(-b - b + 0*b) as x + u*b + n*b**2 + j*b**4 + m*b**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 35*u**2 + 52*u - 20. Let d be g(10). Solve -f + 123 - 129 = d for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.1\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1089 divided by 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 418400 divided by 7?\nAnswer: 418400\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from ttattqdtetqateett.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 18*t**2 + 61*t + 32. Suppose 4*b = -66*z + 70*z + 88, -2*b - 5*z = -37. Calculate q(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 3054\nAnswer: -6\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 7799393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d - 256. Let a be y(-11). Put 4, -3, -5, a in decreasing order.\nAnswer: 4, -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b41a56 (base 12) to base 4.\nAnswer: 22301102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1817.67 and 4?\nAnswer: -7270.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/18*6\/4. What is the second derivative of -l - 7 - 4*l**4 + 7 + p*l wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 - -2861. Let v = n - 985. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, z: 1, i: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160975, 24, -23 in increasing order.\nAnswer: -160975, -23, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -3\/17 (b) 14 (c) -1\/61 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66826945 - -46113818. Let s = 20713093.1999679 + h. Let m = -33.8 - s. Round m to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 291 + 417 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1043*b - 1043*b - 28 - b**2)*(4 + 3*b - 4 + (3 + 1 - 2)*(b + 2*b - 4*b)) to the form z*b**3 + q*b + d*b**2 + n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:42 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1273.238 + 0.762. Let l = y - 1273.457. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(-s + 4*s + 0*s + (1 - 2*s - 1)*(0 + 1 + 1) + 2*s + 0*s + 7*s + (-1 + 1 + 2)*(2*s + s - s) - 3*s + 2*s - s) to o*s + q and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.683547 and -4.\nAnswer: -6.683547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -3*r. Let a be -60 + r + -5 + 4. Find the common denominator of -57\/2 and (-1 - 65\/a)\/((-3)\/(-366)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*m = 4, 5*m - 24 = 5*a - 59. Solve -248 = a*i - 218 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*g**3*l + 58*g**3 + 87*l - 5 wrt g?\nAnswer: 54*g**2*l + 174*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 - 43 - 68 + 86*r.\nAnswer: 86*r - 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -51*w + 47. Let p be k(-9). Suppose -3*x + 381 = a, a + 105 = 2*x + p. What are the prime factors of a?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 117659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485, -483, -467, -431, -369?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 13. Let n be h(-7). What is the units digit of (-1 - n) + (-6 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 83*g**2 + 72*g + 84. Does 154 divide l(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4*k**2 - 938953*j**2*k**2 - 41*j*k**2 - 12*j*k - 27*j + 11*k**2 wrt j?\nAnswer: -24*j**2*k**2 - 1877906*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + d. Let y be h(3). Let n = y - 36. Calculate the remainder when (2 + 0)*-1 - n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-285)\/(-9) - (-4)\/12. Suppose 12*x + 42 = 42. Suppose x = 2*g + p - 29, 4*g = 3*g - p + 13. What is the highest common divisor of o and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/512 and (-8)\/76 + 6135\/32832?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s = -48*s - 4. Let g(q) be the first derivative of -1 - q**s - 2\/5*q**5 + 0*q - 2\/3*q**3 + 0*q**2. What is l in g(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o - 21*o)*((2 - 2 - o)*(-7 + 2 + 3) + 5*o + 5*o - 6*o)*(o**2 + 2*o - 2*o).\nAnswer: -108*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 73, -21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/13 - 57670*p**2 - 43488226*p\/13 - 630603666\/13 = 0. Calculate p.\nAnswer: -29, 374913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2469*i**2 + 3234*i**2 - 5051*i**2.\nAnswer: 652*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3.501 (b) 1\/77 (c) 5\/3 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-19))\/l)**(-40)\/(l*l*l**(4\/13))**23)**(4\/15) assuming l is positive.\nAnswer: l**(-8456\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*a = -107*a + 175*a - 1430 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1434*c**3\/5 - 412956*c**2\/5 + 29725056*c\/5 + 746496\/5.\nAnswer: 6*(c - 144)**2*(239*c + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/42*1001\/(-2860)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n + 1. Let u be j(-3). Suppose 6*w = -w + 560. Calculate the highest common divisor of w and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*v + 60*v + 20*v**2 - 19*v**2 as j + u*v + d*v**2 and give u.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 696798, 1393602, 2090406, 2787210?\n\"Answer: 696804*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 9:53 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45357 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnfftnt. What is prob of picking 2 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2*-3 - (sqrt(128) - (1*sqrt(128) + 4)))**2.\nAnswer: -384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43\/69 - 1\/23. What is the nearest to 2 in 14, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4 - w - 4*w + 28. Let a = 548 - 542. Let y be d(a). Solve -v + y + 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163\/7 + 165\/7. Let h = 0 - j. Suppose 2*o = 4*x, -4*x + 0*x = 3*o. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*s - 9959, f - 79*s + 83*s - 2002 = 0. Which is bigger: 1989 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2510179739 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 49772\nAnswer: 7\/49772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j*j)\/j*j)**(-2\/5)\/(j**0)**(-1\/9) assuming j is positive.\nAnswer: j**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411.07992 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 359 divided by 67\nAnswer: 359\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 35 = 7*s, 36 = 5*s + 191*p - 189*p + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -3*t - 0*t, 0 = -5*z + t + 5. Solve 5*h - z = -l, 0*l = 3*h - 3*l - 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-8) + (-3)\/4. Is -7 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3934875 is divided by 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from {q: 2, a: 5, b: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293932.8 months in millennia?\nAnswer: 24.4944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*i + 5 - 5 + 1523*i - 338*i - 1556*i.\nAnswer: -1490*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let m be (-1)\/3*(0 + -27). Suppose s*f - 6 = m. Solve -f*q = 8 + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.253, 27\/5, -2.5, -0.13?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199, 2396, 3593, 4790?\nAnswer: 5987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -58. Calculate the common denominator of -75\/8 and ((-3)\/((-84)\/(-260)))\/(y\/14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o. Suppose -5*p - 2*z + 11 = -5*z, 2*z = -p - 3. Let u(w) = -1. Let s(v) = -v - 6. Let g(q) = p*s(q) - 6*u(q). Calculate h(g(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1511.8 - -9816.2. Let a = 11327.61985 - l. Let i = a + 0.38. What is i rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 336 = -w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21290535, 21290513, 21290463, 21290373, 21290231, 21290025?\nAnswer: 21289743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/5 - t**4\/12 - 2*t**3\/3 - 8397*t**2. Let n(s) = 37*s**2 - 7*s - 12. What is 2*n(k) - 7*w(k)?\nAnswer: -10*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6*(-8)\/6. Let z(x) = 2*x - 1 + 0*x + 11*x**q - 13*x**2. Let n(y) = y**2 + 7*y + 8. Let h be n(-6). Calculate z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 9. Let n be h(-6). Let z = 1 + n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 4.4. Let v = -6 + 2. What is the closest to f in v, -5, -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*n + 19*n**2 - 7*n - 23*n**2 + 8.\nAnswer: -4*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*f + 4499 - 4434, 3*y = -7*f - 39 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let f(p) = 123*p - 74. Let n be f(1). Let r = n - i. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13.9, -0.4, 2\/7, -2\/11, -0.2, -53.9, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105 divided by -1421?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806, 817, 836, 863, 898, 941?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 14*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1*69)\/(77\/(1540\/(-120)))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -48136.24 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 + 3*t**3 + 13*t**2\/2 + 9*t - 76. Let m(b) = -b**3 + 5*b**2 + 7*b + 4. Let u be m(6). Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(440\/33))\/((-18)\/60). Solve 3*f + 8 = -5*p, -z*p - 10*f - 24 = -14*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Let t = -4 + k. Suppose t = w - 0*w - 5, -64 = -4*g - 4*w. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/24)\/((-27)\/189). What is the highest common divisor of 5054 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1574040 * -8\nAnswer: -12592320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqjr when four letters picked without replacement from jkjjrjkkkkkrqjjkkj.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, q: 9, z: 2}. What is prob of picking 3 q and 1 u?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -67.\nAnswer: -102\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.7814 months in millennia?\nAnswer: 0.06764845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6265\/(-537)*(-6)\/14. Solve -w*g - 18 = -3*i - 25, -2*i - 2*g = 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 4*o**2 - 3*o + 5. Suppose 143 = 24*g - 121. Suppose -23 + 364 = g*k. Calculate the remainder when i(6) is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 511*f + 134082. Give u(191).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and -20.2.\nAnswer: -58.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + z**3 + 131*z - 113*z.\nAnswer: z**3 + 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248166*a + 17*a**2 - 248166*a - 16*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 23 = 5*u. What is the units digit of (-74)\/u - 10\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (3 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -108. Calculate the greatest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 891*h**2 + 5*h + 4 + h + 7*h - 1782*h**2 + 884*h**2. Let b(q) = 8*q**2 - 14*q - 5. Calculate 5*b(g) + 6*r(g).\nAnswer: -2*g**2 + 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3005\/73, 5, 58.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Let c = 13 + n. Let z be 109 + 9\/(-3)*(-2)\/6. What is the greatest common divisor of c and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30907*p - 30907*p + 39*p**3.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) + (-51875)\/12450?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.37. What is the smallest value in -1, -0.5, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let r(s) = s + 9. Let q be r(-5). Let x(p) = -p**3 + 5*p**2 - 5*p + 6. Let w be x(q). Let y(o) = -w*o - 3*o + 0*o. Determine y(c(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/7 - 1560*h**3\/7 + 6208*h**2\/7 = 0. What is h?\nAnswer: 0, 4, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*k - 13127551 = -126359. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2600 + -2341?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/3)\/(2 + 3). Let s(w) = 9 - 4*w**3 - 2*w**3 - 6*w**2 + 5*w**3 + 9*w. Let z be s(-7). What is the second smallest value in g, z, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12220*c - 28 = -12217*c + 2*r, -16 = -4*r for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o - i - 15, -33 = -5*o + i. Suppose -p + o = 3*v - 8, 3*p + 4*v = 22. Solve -p*s + 4*s - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + 1 + 4 - 3 and (-28)\/(-126) - (-50)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 3, d: 1}. Give prob of picking 1 u and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 - 48*a**5 + 51*a**5 + (5*a**2 - 18*a**2 - 6*a**2)*(-2*a**3 + 0*a**3 + 4*a**3).\nAnswer: -35*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskkskaksskkkskaskks. What is prob of sequence kssk?\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 7, f: 4, u: 1}. What is prob of picking 1 u and 3 r?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 divided by 338.\nAnswer: 31\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let o(f) be the first derivative of 22*f**3 - 10. Determine c(o(i)).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 14*d + 37. Determine u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 13) to base 3.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 6*k**2 - k**2 - 39 + 39 + 4*k**2 + (-k - 3*k + 2*k)*(-3*k + 3*k - 2*k) + 0*k**2 + 0*k**2 - k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1102*g + 4 - 4 - 4920*g - 2966*g to the form r*g + u and give r.\nAnswer: -8988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -24 (b) -5 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-4 - 0) - -69. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (51 + -123 - (-26 - -21)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 14 - (9 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.7 take away 1?\nAnswer: -202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293786739 to the power of 1\/2, to the nearest integer?\nAnswer: 17140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.0441644.\nAnswer: 0.1324932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361*t**4 - 3093*t**3 - 563*t - 9813.\nAnswer: 4332*t**2 - 18558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 p when three letters picked without replacement from nrinpnrnnipnprn.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -350.398 and 0.\nAnswer: -350.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42938*a**3 + 21356*a**3 + 21371*a**3 - 2 + 2.\nAnswer: -211*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.3 - -36. Let d = -0.1 - t. Put 0, d, 2\/7 in decreasing order.\nAnswer: 2\/7, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/((-2)\/(-32)). Let a be (-1)\/(21\/18)*7. Let i = g + a. Solve 18 = 4*y - i*m, 4*m + 18 = -0*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a - 39. Calculate o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4361 + -3541. What is the third smallest value in -2, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -42. Suppose -4 = -3*c - l + b, 2*l + 26 = 4*c. Suppose 0 = -d - c*d + 552. What is the greatest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*m**3 + 9*m**2 + 6283*m wrt m.\nAnswer: 174*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359711986?\nAnswer: 2, 71, 163, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3220 by -5.\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(448)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 818122997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(7) + -1)*-6 + -3)*-6)**2.\nAnswer: -27216*sqrt(7) + 97524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 + -128532.\nAnswer: -128406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 638\/132 - 1\/(-6). Let a(n) = 6*n**3 - 7*n + 4. Let l(o) = o**3 + o**2 - o. Let c(t) = a(t) - 5*l(t). Determine c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) + sqrt(152)*3*2))\/(5*(sqrt(800) - (sqrt(800) + (sqrt(800) + 2*sqrt(800) - sqrt(800) - sqrt(800)) + sqrt(800)) - sqrt(800))).\nAnswer: 7*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4762785 and 447.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(86\/344).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2233*a**2 - 391*a + 1923. Is h(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309046.663 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 10*c - 11. Let z be o(-9). Let a = z - -45. What is the highest common divisor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*p + 1, 5*o - 5 = 4*p - 0*p. Suppose p = -5*r + 2*s + 100, 40 = 2*r - 0*s + 3*s. Calculate the greatest common divisor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 299*u**2 - 1038*u + 52735. Determine p(-303).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11616 and 7986?\nAnswer: 127776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 31046*y. Let n(g) = -53*g**2. What is n(l(r))?\nAnswer: -51084268148*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o**3 - 6*o**2 + 2*o + 5. Let s(z) = -8*z - 6. Let h be s(0). Let q(y) = y**3 + y**2 - 1. What is h*q(a) - g(a)?\nAnswer: 5*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391609480?\nAnswer: 2, 5, 37, 264601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 964\/4*(-3)\/(-3 + 2). Suppose 3*w + 5*i - 763 = -238, 4*w = i + c. Is w a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 11 = -3*l, 12*p - 9*p = 2*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 + sqrt(32))**2 - (3 + sqrt(2)*-1).\nAnswer: 21*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-26))\/((-21132)\/114465)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.68 * -51493.\nAnswer: 189494.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(1584))*-6)**2.\nAnswer: 864*sqrt(11) + 57057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2 + 5. Let k = p + 1. Suppose 0 = 2*d - 2*b - 6, d - 4*b + 13 = 2*d. Calculate the highest common divisor of k and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, o: 1}. Give prob of sequence pk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 4, o: 7}. Give prob of sequence oi.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y**2 + y. Let z(i) be the third derivative of 0*i**4 + 3*i**2 + 0*i**3 + 0*i - 1\/20*i**5 + 8. Determine w(z(o)).\nAnswer: -333*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t - 19. Let y be 3 + (2 - (3 - (6 - 3))). Determine q(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**5 + 24*m**4 + 42*m**3 - 80*m**2 + 24*m = 0 for m.\nAnswer: -2, 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7067, 14136, 21205, 28274, 35343?\n\"Answer: 7069*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - l. Let i be u(-1). Is (1*-11)\/(i\/(-20)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 - -458. Let b(d) = -d**2 - 4*d + 1. Let i be b(-4). Calculate the highest common factor of i and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 9*k - 6. Let s be c(-6). Let m(i) = 6*i + 5*i + 4 - s*i. What is m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m - 23*m = -33 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1913*7\nAnswer: -13391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 812700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 17.907.\nAnswer: -17.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -9.53772.\nAnswer: -9.33772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27819184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2. Let y(g) be the third derivative of -g**5\/30 + 11*g**3\/3 + 5647*g**2. Determine v(y(l)).\nAnswer: 52*l**4 - 1144*l**2 + 6292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*j*q**3 - 2*j*q + 6*j - 30*q**4 - q**3 - 24*q + 2 wrt q?\nAnswer: -156*j*q - 360*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 7*g - 2*g - 10 + 21 = -21, g = -6*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 5*v**2 - 2*v + 4. Let g = 11 - 15. Let b be 4*2 + 3 + g. Suppose 5*d + 8 = -b. What is q(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1867729896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 227539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202322 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-4 + (-26 - -5)). Is 36 a factor of 13497\/c - (0 + 1\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 19. Suppose 0 = -v + 2*t - 2, 0 = -5*v - 0*t + t + y. What is the third derivative of -4*s**2 - 2*s**v + 4*s**2 - s**2 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117359647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**3 + 7*n**3 - 24*n**3 + (2 - 5 + 5)*(3*n**3 - n**3 + n**3).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(2 - 8). Let i = -47\/98 - 1\/49. Which is the nearest to i? (a) s (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44)\/sqrt(4))**2 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -96929742.3 to the nearest 1000000.\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398.2327 - 148.2098. Let l = w - 250. What is l rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 0*p**4 - 29*p**3 + 2 - 2*p + 28*p**3 in the form i*p**3 + x + q*p**4 + j*p + a*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 4. Let u(o) = 2*o + 8. Let i(c) = -11*b(c) + 6*u(c). Let j be i(0). Suppose 3*f - j = -f, -4*v + f + 191 = 0. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8*r - 18 = -6*r, -r = 4*r + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675*q - 1717*q - 48 - 78 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2. Let t(o) = 25 + 10*o + 35 - 59. Give c(t(h)).\nAnswer: -200*h**2 - 40*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035 - 14*x - 1693 + 12*x.\nAnswer: -2*x + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 + 82*x**3\/5 + 78*x**2\/5 - 82*x\/5 - 16 = 0 for x.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 122*v**2 + 27*v + 134. Is j(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:51 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 399, 392, 391, 402, 431, 484, 567, 686?\n\"Answer: f**3 - 3*f**2 - 5*f + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 86 - 3152*d - 101.\nAnswer: -3152*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000566617 to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 715962\/536*6\/9. Which is smaller: r or 892?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:26 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4567214, 4567220, 4567228, 4567238, 4567250, 4567264?\nAnswer: 4567280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Let a(q) = q - 2. Let v be a(n). What is the common denominator of -2*((-162)\/8 - v) and 5\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 21 + 25 = 2*w, -5*w + 115 = 5*f. Let t be 1*(-6)\/(-4)*-6. Let v(r) = r**3 + 9*r**2 - 10*r - 23. What is the remainder when v(t) is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - 2*sqrt(832))*-2 + -2 + -1*sqrt(832).\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*p + 2 + (p - 6*p - 3*p)*(0 - 4 + 3) to b + t*p and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 4*w**2 - 2657 + 3*w**2 + 919.\nAnswer: -w**2 - 1738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1007\/2 + 505. Let r be 1\/2*1*2. Sort r, -2\/7, b in ascending order.\nAnswer: -2\/7, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + l + 1374 = 2*l, 4*q - 1840 = -4*l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/24 + -19\/120. Let l be (-21 + 11)*((-3)\/(-2) + -1). Which is the biggest value? (a) k (b) -1\/12 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*x = -3*x, -5*x = 5*g + 25. Let o be (g\/(-6))\/(3\/(-6)). Let z(u) = -8*u + 2. Let y(p) = p. What is o*z(v) - 6*y(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -2993.\nAnswer: -78\/2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -13947.\nAnswer: 2789.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 16*m**2 - 1\/45*m**5 - 8\/9*m**3 + 0*m - 2\/9*m**4 + 0. Factor l(i).\nAnswer: -4*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29a (base 13) to base 12\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 419, 5, 4\/3, -3, -3\/7, 6 in decreasing order.\nAnswer: 419, 6, 5, 4, 4\/3, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13465 or -15923?\nAnswer: -15923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 16674.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)*k*k\/((k**3*k)\/k)*k**2\/k*k**(-2\/7)\/k*(k**(-2\/9)\/k)\/k**6*(k\/k**(-1\/2))**(34\/3) assuming k is positive.\nAnswer: k**(556\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 11 + 4*t + 5)*(5 - 2*t - 5) + (2*t**2 + 2 - 2)*(-2 + 4 + 0) - t**2 + 0*t + 0*t.\nAnswer: -t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6093714 - 1833714. Round b to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - -0.2. Let f = 2 - i. Let q be (0 - 5)\/((-10)\/6) - 1. Which is the third biggest value? (a) -1 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 73 = -78, 3*t + 115 = -j. Which is smaller: j or -128?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -501584.\nAnswer: -100316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 - 4*w - 1. Determine n(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -31*w**2 + 31*w + 11. Let p = 502 + -491. Let v = -5 - -3. Let f(t) = -6*t**2 + 6*t + 2. Let i(g) = p*f(g) + v*l(g). Suppose i(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ae7 (base 16) to base 4\nAnswer: -2223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*w + 12. Suppose -2*v - 3*v = a - 6, 4*v - 6*a = 32. Suppose v*n - 20 = -w*n. What is the smallest value in 4, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9261*q. Let y(m) = 775*m. Determine y(n(a)).\nAnswer: 7177275*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + 3*u + 1. Let y = 106 + -103. Let m(a) = 7*a**2 - 5*a - 2. Let b(r) = y*m(r) + 5*f(r). Let d be b(4). Solve 4*p - d = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 + (-13416)\/215)*-30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*h**4 + 3*h + 464 + 113*h**4 - 2*h wrt h.\nAnswer: -120*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 15 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 59.389829 times 0.2\nAnswer: 11.8779658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, -305 in increasing order.\nAnswer: -305, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjpp when four letters picked without replacement from {s: 2, c: 4, n: 3, p: 2, r: 2, j: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.1. Suppose -4*l = l - 5. Let v be -4*(1 + l\/(-2)). What is the nearest to 1 in c, v, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3038 divided by 225?\nAnswer: -3038\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 times 1?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) 3.46 (c) 2 (d) 4\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + 305. Let i = a - 102. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-45))\/(24\/6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d**4 + 17*d**2 - 12*d**3 - 84*d**2 + 11*d**2 + 63*d**2 as o*d**2 + f*d**3 + c*d**4 + k*d + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 8*v - 12. Let g be u(2). Suppose -4*s = -2*b - 14, g*b + 4*b + 15 = -5*s. Let k(f) = -f**2 - 6*f + 7. Calculate k(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/2)*k*k\/k**(-19\/4)*k assuming k is positive.\nAnswer: k**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 314, 615, 916, 1217, 1518?\n\"Answer: 301*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 43. Let n be k(-16). Suppose 1 = -n*r + 16. Solve -4*v + 2*l = -8, -v + r*l + 12 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(432) + 3 - 2*(sqrt(432) + -1))*-1)**2*-5.\nAnswer: -2285 + 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 - 46 = 0. Let l(n) = -2*n - 18. Let o be l(u). Let b(v) = 3 + 5*v**2 - o - 14*v**2. What is b(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29719 and 2599.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1210\/18 - (-26)\/(-117). Let a = x - 59. What is the remainder when 31 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 1118*i + 25903. Determine w(-254).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64078 or 64076?\nAnswer: 64076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 2:03 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {d: 1, e: 1, g: 2, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.43. Let m be (-4654)\/792 - 18\/(-99). Let i = 21\/4 + m. Sort h, 2\/7, i in decreasing order.\nAnswer: h, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.835215535 + -34.\nAnswer: -5.164784465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.022 - -0.222. What is the closest to r in -2\/11, 8, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g - 7*g + 3*g)*(39*g - 577 + 577) + (-4 - g + 4)*(-3*g - g + 2*g).\nAnswer: -739*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73342?\nAnswer: 2, 36671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Is -2 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 1613709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 4.2. Let a(b) = -2*b + 11. Let u be a(7). What is the third smallest value in v, u, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*d**2 - 1006*d**2 + 2009*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11\/(h*h**(-1\/5)))\/(h**(2\/11)\/((h*h**(-4\/13)\/h)\/h)))**(3\/7) assuming h is positive.\nAnswer: h**(18684\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 + 362. Suppose n = -n + p. Is (-2 + 5)\/(-3) + n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21.94 and -297602?\nAnswer: 297580.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 3. Let v(a) be the third derivative of 13*a**5\/30 - 8*a**3\/3 - a**2. Suppose -2 = 3*t - 5. Let h = 2 + t. What is h*v(q) - 16*i(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) + (-5)\/(-20). What is the greatest common factor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 14. Suppose 5*l - 6*s = -3*s + n, -4 = -s. Solve 9 = 2*a - i, -3*a = 5*i + 10 - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204949 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.5+0.083703256398\nAnswer: 2.583703256398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1175299484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*l + 2164*l = 1076*l - 63 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 169 = -406. Suppose 4*z + 84 = 4*c + 8*z, 3*z - w = -5*c. What is the highest common divisor of c and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4828299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 10*r + 40. Solve 0 = 3*c - 4*k + 15, -5 + 15 = -2*c + r*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 24*g**2 + 4*g + 120.\nAnswer: -4*(g - 2)*(g + 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539499367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + f - 4 = 0, 13*k - 14*k + 3*f = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147694, 295409, 443124?\nAnswer: 590839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 310*c**4 - 5035*c**3 + 25730*c**2 - 12120*c - 43200 = 0. What is c?\nAnswer: -1, 2, 9, 12, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 41 + -9 + -6 - -33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459899 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28392424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207*173.\nAnswer: -35811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23425015 (base 6) to base 8\nAnswer: -2632643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.0326m in nanometers?\nAnswer: 76032600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*f + 7. List the prime factors of (21\/(-6) + f)*178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m**5 + 107*m**3 - 107*m**3 + m**5 + m**3 - m**3 + (m**3 + 3*m**3 - 2*m**3)*(-3*m**2 + 0*m**2 + m**2) + (2 + m - 2)*(12*m**4 + 6*m**4 - 5*m**4).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 = 10. Let u(l) = -37 - l - l - 15 + 1. Let h be u(-28). Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -70, -68, -66?\n\"Answer: 2*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 24 + -14 - -59) + -12\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, 0.5, -0.6, 2, 187, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/56 and 11\/364.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-5*o + 0*o - 17*o) to t*o + z and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v. Let q be y(-1). Let d = -2 - q. What are the prime factors of (-26)\/d - (8 + -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*i - 4*v, 0 = -i - 3*v - v - 8. Let s(p) be the third derivative of p**5\/60 - p**4\/24 - 2*p**3\/3 + 615*p**2 - 34. Give s(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094*f - 215919 = -1121*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 = 12*x - 39. Calculate the lowest common multiple of 42 and x.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 19*x**2 + 11*x - 3. Let b be u(9). Let a be ((-569)\/(-237))\/(35\/(-23835)). Let c = a + b. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = m. Suppose 2*q + 0*u + u = 33, -3*u = m*q - 67. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*b**3 - 17*a**2*b**2 + 6*a**2*b - 7279*b**2 - 192*b + 623 wrt b?\nAnswer: 18*a**2*b - 34*a**2 - 14558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -0.4 (c) 36\/11 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 34*i**3 - 9*i**2 + 43*i - 195. What is the thousands digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130068*k**5*r**3 - 102*k**2 + 436*k*r**3 wrt k.\nAnswer: -7804080*k**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/23, 3, -4, 93, 0.1 in ascending order.\nAnswer: -4, -3\/23, 0.1, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 6 - 1, 7 = -d + 3*t for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, s: 2}. What is prob of sequence szsz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 184470840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, n: 2, f: 4, c: 1}. Give prob of picking 1 c and 2 v.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + d9?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658258 to the power of 1\/2, to the nearest integer?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*g**2 + 5059*g - 5059*g - 302*g**2 - 2 to the form t + o*g + b*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10008*w - 7 + 26 - 7423*w - 19 as t + g*w and give g.\nAnswer: -17431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 11}. Give prob of sequence uue.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/14)\/((-1)\/656*-2). Suppose 4*o - y = 3*o + z, -o = 3*y - 180. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1674)\/162 + (-7)\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 0. Suppose y*n + 20 = n. Let r = -5 + 8. Solve 0 = -2*c - r*c + n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 - 2*y**2 + y + 2. Calculate n(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141.7 + 167. Let q = -25 + d. Let f = -267 + 270. Which is the smallest value? (a) -0.5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.4 - 7.1. Sort g, -2, -0.5, 1 in increasing order.\nAnswer: -2, -0.5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = 3*c + 4*p, 2*c - p = 10. Solve c*n + 146 = 154 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.16. Let u = 0.44 - t. Let s = u - 1.4. Which is the nearest to -0.1? (a) 3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 26 + 8*c as s + x*c and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pba when three letters picked without replacement from awbwwwbwbwppwp?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 108*r + 153*r - 256*r - 7.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 2197710*v + 241496462205 = 0. Calculate v.\nAnswer: 219771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -1 (c) -0.1 (d) -0.0249 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 18.4. Let f = 221.65 + -227. Let o = 2.35 + f. Which is the third smallest value? (a) -5 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/180 + 3*s**5\/10 + 17*s**4\/12 + 25*s**3\/9 + 3718*s**2. Factor v(q).\nAnswer: 2*(q + 1)**2*(q + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + b**2 + (3*b**2 + 2*b**2 - 3*b**2)*(6 - 2 - 3) - 2*b**2 + 3*b**2 + 0*b**2 - 903*b - 1 + 100*b**2 + 903*b.\nAnswer: 104*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2654, 7251, 17156, 27061, 36966, 46871?\n\"Answer: 9905*v - 12559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61\/5, 0.695, -1\/2 in increasing order.\nAnswer: -1\/2, 0.695, 4, 61\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*c**2)*(2 + 0 + 0) + 0 + c**2 + 0 + 26*c - 21 - 6*c**2 - 80*c + 56*c to r + j*c + u*c**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 28*y = -100 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3661827387095 from -7.\nAnswer: 3661827387088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**7\/105 - 2*i**3\/3 + 2*i**2 - 4. Let f(v) be the second derivative of h(v). Find the first derivative of f(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8448 - -8447.5. Let f = -0.1 - -0.3. Let y = -117.7 + 118. Which is the closest to y? (a) f (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 5*j**3 - j**3 - 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 134, 280, 476, 716, 994, 1304?\n\"Answer: -b**3 + 34*b**2 - 5*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 18*r + 2. Let z be s(9). Is -389*(z + -1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3785971 is divided by 180284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 134480812?\nAnswer: 134480812.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**7\/420 - s**5\/10 - 10*s**3\/3 + 5*s. Let a(h) be the second derivative of f(h). Find the second derivative of a(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/28*(-102872)\/(-2004).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:45 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 116a + 10?\nAnswer: 117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {t: 5, k: 2, l: 8}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1032 and 663146?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from pepbbbemoeb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527935613\/869 - 607521. Let q = f + -2\/79. Let k be 9\/(-7) + (-6)\/(-21). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u**2. Let k(s) = 20*s**2. What is m(k(n))?\nAnswer: -4400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*g**2 - 2*g**4 + 5*g**3 - 41*g**2 - 7*g**4 - 23*g**2 wrt g?\nAnswer: -216*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 543035 and 0.5.\nAnswer: 543035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 10. Let u be w(8). Suppose -u*v + 28 = -a + 5*a, 0 = 4*v. Solve -3*q + 2*c = 3, -5*q + 3*c + 1 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60216, 60208, 60190, 60156, 60100, 60016, 59898, 59740?\n\"Answer: -t**3 + t**2 - 4*t + 60220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**3 - 10*t**3 + 2*t**3 + 5*t**3 + 18*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-36))\/((120\/200)\/(8\/20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171753471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {e: 3, i: 7, d: 1, z: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.029712l?\nAnswer: 1029.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 769, 1289, 1837?\nAnswer: 2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5 + 7. Sort z, 3\/7, 1\/8.\nAnswer: 1\/8, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*c - 219*c**3 - 35*c**3 - 105*c to y*c**2 + r*c + j*c**3 + l and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(228) + sqrt(228) - sqrt(228))\/sqrt(3)*2)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 103. Let z(c) = 2*c + c**2 - t - 5 + 4 + 2. Let f(h) = -5*h**2 - 8*h + 17. Calculate -2*f(i) - 9*z(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*a + 35, 3*q - 19194*a - 30 = -19198*a - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 - (-10 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.25 + -2.85. Let q = -2.4 + w. Let r = 0 + -3. What is the third biggest value in -1\/5, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**3 + 28*z**2 + 13*z - 2. Let o(m) = 4*m**3 + 14*m**2 + 6*m - 1. What is -9*o(n) + 4*q(n)?\nAnswer: 4*n**3 - 14*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**3 + 32*u**2 + 330*u + 24. List the prime factors of k(-8).\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 0*b - 1 + 4*b + 5 + b as l + r*b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.06.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454 + -418. What is the third derivative of -47*b**3 + 285*b - 570*b + t*b**2 + 285*b wrt b?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399528 divided by -248.\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 23 = -3*a + 7, 4*h - 7*a = -75. Let r = 9 - 6. Suppose -l = r*l. What is the closest to 2\/3 in l, h, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414064954*k*z**2 + 2*k*z - 10*k + 13791*z + 114 wrt z.\nAnswer: -828129908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 91457a?\nAnswer: -9145a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 18159413*q. Let o(c) = -19*c. What is o(i(s))?\nAnswer: -345028847*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*h + 3*j, -h - 128 = j - 140 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 1416*d**3 + 508294*d**2 + 4977240*d + 12355225.\nAnswer: (d + 5)**2*(d + 703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12888.9 + 180789\nAnswer: 167900.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 30*f**2 + 14 + 4*f - 7 - 2 - 1 in the form y*f**2 + m*f + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = 4*s - 60, -3*j = -2*s + 30. Suppose -b - 3*d - 11 = 0, -b = 7*d - 2*d + s. Let q = 5 + b. Is q < 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y - 31*y + 14*y. Let j(n) = 3*n. What is s(j(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4 = 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/30 + j**4\/12 - 14*j**3 + 72*j**2. Let w be m(-7). Solve w = h - 5*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/6 + 16255*o**3\/6 + 43520872*o**2\/3 + 76522456984*o\/3 - 25521995328 = 0. Calculate o.\nAnswer: -6004, -4248, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931)*2 + (sqrt(19) + -3)*2)**2 + (4 + sqrt(2299) + -2 + (sqrt(2299) + -2 + 1 - sqrt(2299)))**2.\nAnswer: -254*sqrt(19) + 12387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h + 19. Let z(y) = -y + 9. Let d be z(7). Suppose 2*v = -d*v. List the prime factors of f(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/7))\/(w\/w**(-4)*w*w)*(w\/(w\/(w\/(w*w*(w*w\/(w*((((w**(-1\/2)*w)\/w)\/w)\/w)\/w))\/w))))\/(w**0*w) assuming w is positive.\nAnswer: w**(-153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 23. Put 3, z, 0 in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101110011100100 (base 2) in base 12?\nAnswer: -166430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2244 and 55\/21231.\nAnswer: 15880788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/8 + 3*y**5\/5 - y**4\/2 - 48*y**2. Determine p, given that a(p) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152232814?\nAnswer: 2, 23, 43, 76963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.572361 and 104.9048.\nAnswer: 128.477161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6580 and 3498?\nAnswer: 11508420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 - 34*r**2 + r - r to the form j*r**2 + i + f*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 1. Determine s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.3301 milligrams in grams?\nAnswer: 0.1503301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222212 + -12?\nAnswer: 10222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 4*i**3 - 8 + 3*i**2 + 25 - 15 + 0*i**3 - 9*i**3. Calculate q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 34. Let u = 1244123061.00000022 - 1244123075. Let w = h + u. Round w to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let z(f) = 120*f**2. Give z(p(j)).\nAnswer: 120*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27*-5*22\/(-10). Is 13 a factor of (-8 - w\/36)\/((-2)\/(-584))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*3)\/((sqrt(50)*2)\/sqrt(10)) - (5*sqrt(57)\/(sqrt(3) + sqrt(48)*1 + sqrt(48)))**2.\nAnswer: -475\/81 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 6*n - 45. Let l be ((-96)\/60)\/(6\/n). Suppose 6 = 2*v - l*k, -1 = 2*v - 3*k - 7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(19) + sqrt(171)).\nAnswer: -20*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 50 = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:36 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from bqlblbbqqqllqq?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**7))\/h)\/h*(h*h\/h**(-9))\/h)\/(h*h**(-4\/3)*h\/(h\/h**8)) assuming h is positive.\nAnswer: h**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 128*a - 2 = -126*a, 0 = -u + 2*a - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-8))\/((-3)\/12)*2205\/11025?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -866 - -870. Let k = 3.7 + -0.7. What is the closest to 2\/3 in k, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1368198 times -5\nAnswer: 0.684099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/12 - n**4\/12 - 11*n**2. Find the second derivative of p(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5707275 divided by 245?\nAnswer: 23295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3 (c) 1 (d) 131 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52593259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - g**4 - 13*g**3\/6 + 15*g**2\/2 - 3*g - 5. What is i(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -1\/4, -4, 1427?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgbrbbb. What is prob of picking 3 b and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11977698 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 806266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 383, 1, -5 in increasing order.\nAnswer: -5, 1, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**4 - r**3 - 3*r. Let p(z) = -z**3 + z. Suppose 3*t - 3 = -6. Let w(d) = t*j(d) - 3*p(d). Factor w(a).\nAnswer: -2*a**3*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*5\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3425478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005926 to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*m - 6 + 10 = 0, 0 = a + 4*m - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 651362 divided by 163?\nAnswer: 651362\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 24. Let c be (-6)\/((z\/4)\/(15 + -18)). Let o(q) = 2*q - 20. Determine o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 82 = -l, -11*o + 4*l = 491 - 1393. Let a(i) = 27*i**3 + i**2 - i + 1. Calculate the remainder when o is divided by a(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n - 376. Let s(y) = -8*y - 373. Let v(f) = -5*s(f) + 4*u(f). Let q be v(-30). Put 5, -1, -0.1, q in decreasing order.\nAnswer: 5, q, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 4*n + 4. Let a be m(-3). Is (a\/10)\/(5\/(-25)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1986, -1988, -1990, -1992?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-f + 4*f - 2*f) - 4*f + f + 2*f + f - f + 2*f + (-f + 6*f - 4*f)*(50454 - 13718 + 28715 + 48813 - 6376).\nAnswer: 107887*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5693 + -5564. What is the greatest common divisor of 9159 and o?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - g)*(-59*g + 52*g + 77*g)*(2*g - 666*g**2 - 2*g + 814*g**2).\nAnswer: -10360*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -141\/905?\nAnswer: -141\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-0.16.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.1043.\nAnswer: 0.1043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88957716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 1, 8714?\nAnswer: 8714","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-5 - 1). Suppose -2*l = 5 - r. Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -101\/3*o**3 + 0*o**4 - 21\/20*o**5 + 0 + 231*o - 1\/30*o**6 + 0*o**2. Find the second derivative of t(j) wrt j.\nAnswer: -12*j**2 - 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 772 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223 + -167. Let p(u) be the third derivative of 17*u**5\/60 + u**3\/6 - 5*u**2. Calculate the least common multiple of a and p(-1).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38113\/6 - -6354. Let g(a) be the second derivative of -a**2 + 0 - f*a**3 - 25*a. Determine g(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 11*l + 9. Let k be u(-10). Let g be (2 + 7\/(-4))\/(-1). Which is the nearest to -0.1? (a) k (b) -4\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 5d54?\nAnswer: 5d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*f + 57012 = 0, -6*f - 28458 = -328*r + 327*r. What are the prime factors of r?\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 + 204*o**3 + 2*o**2 + 73*o.\nAnswer: -60*o**2 + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666404487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4672 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -37. Put v, 3, -8, -6 in decreasing order.\nAnswer: v, 3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -1. Suppose 0 = -n - 3*n. Let a = -7 - -29\/4. Put n, a, f in ascending order.\nAnswer: f, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/24 and 1\/294952?\nAnswer: 884856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnllhhlhlllhl. What is prob of picking 1 h, 1 n, and 1 l?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 3*d**2\/2 - 148*d - 111. Let q be i(-13). Is q <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(102) - (sqrt(102)*2 + sqrt(102) - sqrt(102)) - sqrt(102))*2)\/(sqrt(12)\/(sqrt(2) + 2*sqrt(162) + sqrt(2) - sqrt(2))).\nAnswer: 3 + 228*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/2 + 100927*f + 10186259329\/2 = 0.\nAnswer: -100927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -19. Suppose 3*h - f*u - 51 = 0, 2*u + 3*u - 20 = -2*h. Suppose 90 = 3*z - 5*b - 27, 5*b = h. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.843 rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.21241 times -1\nAnswer: -0.21241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*i - i - 5 = 0, 0 = 4*m - 4*i. Suppose -8 = -m*t + 7. Suppose 3*q = t*d - 21, -3*q = 2*d + 2*q + 7. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 8. What is the least common multiple of (4\/(-5))\/((-6)\/15) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - 10*r**2 + 7*r**2. Let m(f) be the second derivative of 0*f**2 + 0*f**3 - 1\/12*f**4 + 5*f + 0. Calculate y(m(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 34. Let x be p(11). Let b = -16 - x. Solve b*f - 11 = 2*d + 10, 2*f = -4*d + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/6 + 8*l**4\/3 - 44*l**3\/3 + 32*l**2 - 24*l.\nAnswer: -l*(l - 6)**2*(l - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-3094)*2*(-2 - -4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(sqrt(76) + sqrt(76)*-1)*3*-2)\/(sqrt(100) + 1*sqrt(100) + sqrt(576)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 4*d - 2. Let w(g) = 2*g**2 - 3*g - 18. Suppose -t + 20 = 4*o, t = 3*o - 4*t + 8. Let f be w(o). Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgf when three letters picked without replacement from fddgd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-3) + (3 + -1 - 3). Let i(r) = -r + 11. Let g be i(d). Solve 5*n + j + 2*j + g = 0, 4*j + 17 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of -7 - (-8193 - 4 - -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l. Let w(b) be the second derivative of b**3\/6 - 24*b. What is t(w(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d - 9. Let q be m(-3). Let c = -15 - q. Suppose 0 = -3*l - a - 2, c = 2*l - 5*a - 27. Which is greater: 1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -6163.\nAnswer: -6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3185408 + -3.32. Round d to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwoowowooooooowo. What is prob of sequence wow?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -112. Let m = -365 + 791. Suppose -m + 140 = -13*u. Calculate the remainder when o is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**5 + 76*r**4 - 228*r**3 - 1180*r**2 - 1352*r - 480 = 0.\nAnswer: -1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 7*r**2 - 16*r - 72. Calculate the remainder when 168 is divided by x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1905, -1883, -1847, -1797, -1733?\n\"Answer: 7*c**2 + c - 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + y - 10. Let f be l(0). Suppose 6 = 3*b - 0, 3*o = 3*b - 27. Let w = o - f. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 471*i - 1905. Let n(c) = 941*c - 3808. Let m(o) = -5*f(o) + 2*n(o). Find the first derivative of m(a) wrt a.\nAnswer: -473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let a(f) = f - 2. Let o be 12\/(-8)*4\/3. Let s(v) = o*j(v) - a(v). Let d(m) = 3*m**2. Calculate d(s(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-2 + 2 + i**2 + (-4*i + i + 5*i)*(-4*i + 2*i + i)) + (-3*i - 3*i + 4*i)*(2*i - 2*i + 6*i) in the form u + y*i + o*i**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrabdatabbaatrdarr. What is prob of sequence ata?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let t(f) = 3*f - 17. Let j(c) = -2*n(c) - t(c). Let r be j(13). Sort r, 1, -4.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*h - 1656 = -112*h. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*24\/6*5. Suppose 3*u - f - h + 6 = 0, -3*f + 12 = 3*u. Let l = 0 + 1. Solve u*s = 3*s + l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1 (c) -0.081 (d) -224\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0.0337, 2, -1\/5 in descending order.\nAnswer: 5, 2, 0.0337, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*g + 4 = g, -4*d - g = -4. Factor -i**2 + 3*i**5 - 3*i**3 - 3*i**4 + 3*i**2 + 0*i**4 + i**d.\nAnswer: 3*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.5 and 517855.\nAnswer: -3366057.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899.7824649 plus 5.5?\nAnswer: 2905.2824649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 0.42899123.\nAnswer: -39.57100877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9207289.\nAnswer: 7, 13, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from zqqzozzooozzzoo.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 405\/(-108) - (-6)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(66\/12 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 28799*b + 278. Let k(o) = 3*o. Give f(k(t)).\nAnswer: 86397*t + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-135) + 0)\/(5 - (3 - -1)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n + 3*o - 19, 50 = 4*n + 2*o. Let c be 0*(-2)\/6 + n. Let r(u) = u**3 - 12*u**2 + 15. Is r(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8. Let i be 5\/15*1*-3. What is the least common multiple of 11 and i + 2 + 6 + f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.04, -10\/7, -46\/3, -0.5, -9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876*w**5 - 11380*w**4 + 15664*w**3 + 140304*w**2 + 113408*w + 1024 = 0. Calculate w.\nAnswer: -2, -1, -2\/219, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6674 is divided by 831?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**21\/q))\/q*q**(-18\/11) assuming q is positive.\nAnswer: q**(-227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 121, -56, -4, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let g(r) = -48*r**2 + 9*r - 3. Calculate 3*b(s) - g(s).\nAnswer: 48*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58 - -0.02. Let d = 112 - 118. Is k <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41164, 41132, 41104, 41080?\n\"Answer: 2*h**2 - 38*h + 41200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/12)\/(8\/60). Suppose -3*o - 145 = -n*v, -2*o = 14 - 4. Calculate the remainder when 127 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 - 50 = 0. Suppose -2*q + i + 36 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*j + 7, -5*m + 7*j + 35 = 2*j. Let v = -254 + 254. Let i = m - v. Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miim when four letters picked without replacement from mimiiiimiiiiiiiiiiii.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 34 and 40 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10481 by 8564.\nAnswer: 10481\/8564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u**2 + 80*u + 9\/5*u**5 + 0*u**4 + 0*u**3 + 58. Differentiate d(n) wrt n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117303 is divided by 3449.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9335461.\nAnswer: 9335461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/204)\/((-4)\/(-42)). Let f = 4\/17 - r. Let i be (2\/(-8))\/(2\/(-4)). What is the third smallest value in f, -3, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99490469.\nAnswer: 13, 571, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 25 = 4*d. Suppose -2*b + 22 = -4*y, -b - 1 + d = 3*y. Suppose -101 = -10*k + 1019. What is the highest common divisor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28756 divided by -182.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98960 = -17*s - 98909. Let b(i) be the third derivative of -i**5\/30 + i**4\/6 + i**3\/6 + i**2. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 9*j**5\/10 - 11*j**4\/6 + 2*j**3\/3 - 6*j. Suppose t(f) = 0. Calculate f.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174 - 172) + (-12 - 0) + 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, 1 v, and 1 e when four letters picked without replacement from revuezexxrre?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -382416.8812 rounded to the nearest 1000?\nAnswer: -382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + -140. Let b be 2\/9 + (-3085)\/(-9). Let n = m + b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 0) - ((-1 - -2) + 46) - 11\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -35, 2\/3 in ascending order.\nAnswer: -35, 1\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - n - 42 = 2*t + 25 - 25, -3*t + 2*n - 62 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 - 50*d**3 + 238*d**2 - 48*d + 4*d**4 - 195*d**2 - 135*d**2.\nAnswer: 4*d*(d - 12)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14248 is divided by 1178.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -33*a**2\/2 - 3*a\/2 + 18 = 0.\nAnswer: -12\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27849112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) -3 (c) -266 (d) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/17917 and 77\/12756904.\nAnswer: 12756904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*w**3 - 19*a**2*w**2 + 984*w**3 wrt a?\nAnswer: -2*a*w**3 - 38*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3252773\nAnswer: 3252773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/6 + 42*q - 9. Let i(r) be the first derivative of m(r). Suppose 5 = -g - 5*d + 13, g - 3*d = -8. Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 3\/25, -0.1, 44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 4\/123, 2\/9, -3, 1\/2, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nno when three letters picked without replacement from {o: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 + f + 1. Suppose 1307 = 7*y - 380. Let u = -237 + y. Determine a(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 709536 divided by -5\nAnswer: -709536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((5\/80)\/(30\/(-36))). Is -120 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81387 is divided by 1691?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1197 and 5413613.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3)*m\/m**(1\/6)*m*(m**1)**(-21\/5))\/(m**(-2)*m*m\/((m*(m**(1\/4)*m*m)\/m)\/m)*(m\/(m\/((m**(2\/3)\/m)\/m*m))*m)\/m*m*m**6) assuming m is positive.\nAnswer: m**(-227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3561.\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 32*h**2 + 5*h - 4. Let t(r) = r**3 + 10*r**2 - 21*r - 1. What is the remainder when t(-11) is divided by q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 9. Let n be g(7). Calculate the remainder when 58 is divided by (-568)\/(-28) + n\/(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689058.\nAnswer: 2, 3, 38281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.1, 0.4, 1\/8, 15\/232 in descending order.\nAnswer: 0.4, 1\/8, 15\/232, -0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 7*a + 27. Suppose a = -2*b - 7. Sort -4, b, -3, 4 in increasing order.\nAnswer: b, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 54. Let s be c(-14). Suppose b = 5, s - 34 = -p - 5*b. What is the lowest common multiple of 947 and p?\nAnswer: 6629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:27 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 2*t**2 - 4*t**2)*(-4 + 0 + 2)*(2 + 1 - 1)*(6*t**2 - 6 + 6) + 24*t**4 - 10*t**4 + 29*t**4.\nAnswer: 19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-340)\/850)\/((-4)\/(40\/34) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98404.22ml?\nAnswer: 98.40422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 74*r**2 - 240*r + 114. Calculate the remainder when c(78) is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 - 136. Suppose 295 = 5*d + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4640734.\nAnswer: 3\/4640734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x**2 + 190*x - 190*x)*(4*x**3 - 2*x**3 + 4*x**3) - 4*x**5 + x**3 + x**3 + 5*x**5.\nAnswer: -179*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4301.1 + -481.\nAnswer: 3820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3461 + -3011. Calculate the highest common factor of 144 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 10*k**2 + k - 2. Calculate the remainder when 30*((-3)\/3)\/(-2) is divided by p(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-176)*(-616)\/(-66)*(-2)\/(-14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**6\/15 - h**5\/60 - h**4\/24 - 3*h**2\/2 - 2*h. Let n(l) be the first derivative of y(l). What is the units digit of n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 221, 293, 401?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50862 and 41748?\nAnswer: 7222404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3303 + 3303 - 1507*z**2 + 239*z**2.\nAnswer: -1268*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/1226900?\nAnswer: 9\/1226900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38450 is divided by 126?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 510*n + 3011. Determine s(-8).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + (-1734)\/170. Let s be -25*1 + -1 + 2. Let h = f - s. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 861.\nAnswer: 10\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -89.58, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*g + 56 + 84*g - g**2 - 2*g**3 - 39*g as w + m*g**3 + p*g + y*g**2 and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 13 = 9*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -154120 divided by -19265\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2641405*n**2 - 190492*n wrt n.\nAnswer: -5282810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/155 + 303\/1085. Let m = 8\/77 + 2\/11. Solve 0*r + 0 - u*r**2 + m*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1312)\/(-64))\/(3\/(-3)))\/(26\/52).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.018 + -2.018. Suppose q = f - 2, -2*q + 3 = -3*f + 9. Which is the second biggest value? (a) f (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 337 = 448*z + 6413 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719908144.\nAnswer: 2, 601, 178859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3780351 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -14. Suppose -22 = -3*r + 5*x, -4*r = -0*r + 2*x - 12. What is the biggest value in -4, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (144\/((-30)\/5))\/((-4)\/2). Let 24*s**2 - 17*s**3 + 10*s**2 - 2*s**2 + 2*s**4 - u*s = 0. Calculate s.\nAnswer: 0, 1\/2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150409063.\nAnswer: 7, 21487009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let r be 39\/(-6) - (-1)\/(-2). Let k be ((-16)\/3)\/(r\/21). Solve 5*d - 6*x - k = -f*x, 4*d - 8 = 2*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/2 (c) -14\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 58 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Suppose 17*r + 48 = 13*r. Let f = 22 + r. What is the lowest common multiple of f and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-204 - -181) + 23\/1. Let x(o) be the first derivative of 3*o**2 + 39\/4*o**4 - 22 + h*o + 0*o**3. What is the second derivative of x(r) wrt r?\nAnswer: 234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30*h - 140 = 0. Let a be h - (-5705)\/(-28) - (-10)\/(-8). What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4716 - -4716.1. What is the nearest to 6 in 18, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -497, -5, 1 in decreasing order.\nAnswer: 1, -3, -5, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 231645 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q - 21. Let t(h) = 1. Let w(x) = -i(x) - 21*t(x). Let p(c) = -8*c. Let n(v) = -6*p(v) + 7*w(v). What is the remainder when 2 is divided by n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105336 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8773 is divided by (172692\/2460)\/(2\/10)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -31. Let r = -120\/7 + 7277\/420. Let d = r - -3\/20. Sort n, d, -1\/3.\nAnswer: n, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104958174*s**2 + 104958174*s**2 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (1 + -1) - 2. Suppose -3*f = -2*x + 7*x - 62, -f + 22 = 2*x. What is the remainder when f is divided by 7 + -1 - (-4 - n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -124661764392?\nAnswer: 124661764388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/7 - (-12)\/(-28). Let s be (-6)\/g*-2 + 21. Calculate the remainder when 1269\/s + (-3)\/(-2) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 89, 2571 in decreasing order.\nAnswer: 2571, 89, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -212 + 33*j - 30*j + 212. Let v(c) = 6*c**2 - 3 + 3. Give z(v(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 23.46. Let u = -3026 + 3026.74. Let j = k + u. Sort 1\/2, 0, j.\nAnswer: 0, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.0028 + -0.0028. Let z = 2 - 0. Let u = p + z. Which is the nearest to -2\/7? (a) -1\/3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*v - 84*v + 124*v + 875 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 10, -4 in ascending order.\nAnswer: -4, -1, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 376034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.573 - -16.566249. Round l to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/9)\/((-8)\/(-6)) and 313?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 274176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150546 is divided by 75259?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 + 5*f**2\/2 - 7*f - 2. Let d = 89 + -70. Suppose -10*t - d = 31. Determine l(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 0, 5, -5 in descending order.\nAnswer: 5, 0, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxxvivddvoxo. Give prob of picking 1 x and 2 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-1)\/(-4)). Let p(c) = 2*c**3 - 7*c**2 - 2*c + 7. Let x(t) = 3*t**2 + 19*t - 9*t - 3 - 9*t - t**3. Calculate o*p(n) + 14*x(n).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 206*c - 93 - 214*c + 670*c - 139 - 244*c.\nAnswer: 6*c - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*f - 4)*(114*f - 57*f - 422*f).\nAnswer: -1825*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319 - -540. Suppose l = 2*q + d - 25, 4*q + 2*l = -392. What is q rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986.62 minus -0.2?\nAnswer: 1986.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 - 4*v + 7. Let o be w(-5). Put -5\/2, o, -11 in increasing order.\nAnswer: -11, -5\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -15*i + 18*i. Let q be 271\/6 - i\/(-24). Let u = q + -39. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((270912\/1020)\/332)\/((-1)\/35).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7544 by 7544.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 4. Let m = 644 - 644. Suppose 35*o - 25 - 360 = m. Give a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138964, 277913, 416864, 555817, 694772, 833729?\nAnswer: 972688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0346 and -0.2.\nAnswer: -0.20692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/19))**22 assuming l is positive.\nAnswer: l**(462\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/(-12))\/8)\/(4\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 41 + 79. Suppose -3*y + 28 + 112 = 2*x, 5*y - 2*x - 244 = 0. Calculate the greatest common divisor of u and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2717 smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose i*r = r. Let z = r - -11. Calculate the remainder when 21 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m\/(m\/(m**(2\/11)\/m)))\/m))**(-43) assuming m is positive.\nAnswer: m**(-1806\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1610*v**2 + 361*v - 379325?\nAnswer: -3220*v + 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101 - -1001?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/7 (c) -7 (d) 253 (e) -34 (f) -0.2 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/7)\/q**6*q**(3\/2)*q**(-6\/5)\/q assuming q is positive.\nAnswer: q**(-499\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 395, 396, 397, 398?\n\"Answer: q + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*z**2 - 75*z**2 + 91*z**2 + 5 - 3*z**2 - 5 - 3*z**2 - z**2 + 6*z**2 + (z - 2 + 2)*(0*z + 2*z - 3*z).\nAnswer: 53*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 28 = 4. Let r be (-4 - n)*2\/2. Solve -r*k - 12 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*4\/(-2) + 6. Which is smaller: 3\/232 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 12*x - 33. Let k be h(14). Suppose n = -5*w + k, 29 = 3*w + 3*n - 196. Let g = 70 - 50. What is the remainder when w is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 9. Let b be w(2). Let i(y) = -11*y + 7. Let a(k) = 5*k - 3. Let g(n) = b*i(n) - 7*a(n). Let v(s) = -s**2. Calculate v(g(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.487 - 0.513. What is the biggest value in -16, 5\/4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 - 2*k + 6. Let f be i(4). Suppose 3*t + 8 = 23. Factor -14*q**4 + f*q**4 - q**3 + q**t.\nAnswer: q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*c)*(c - 3 + 3)*(8 + 20 - 5 + (-3 + 3 + 1)*(741 - 29 + 171)) to the form a*c**2 + k*c + p and give a.\nAnswer: 1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - -1)\/1. Let c be (-25520)\/(-333960) + ((-20)\/(-22) - 1). Is x >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -42*g**3 - 2*g**2 - 5*g - 2. Calculate k(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170410 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 333*h - 168. Let b(q) = -192*q. Give b(s(g)).\nAnswer: -63936*g + 32256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/810)\/(27\/180).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) 59 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*p**4 + 120*p**4 - 387*p**4 - 2*p**4 + 2*p**4 - 4*p**4 + (4*p**2 - 2*p**3 - 4*p**2)*(-3*p + p + p).\nAnswer: -181*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, 2, -3, -6, -2, -4 in ascending order.\nAnswer: -305, -6, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -206*m**2 - 746*m - 3696. Give w(-5).\nAnswer: -5116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from kikitittkkt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) 0 (c) 1351\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*w**4 - w**3 + 2304*w**2?\nAnswer: 1824*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-36) - 44\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21490739639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*l + 7*l. Factor -6*f**4 + 5*f**4 + l*f + 12*f**3 + 5*f**4 - 20*f.\nAnswer: 4*f*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 49505920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63358743 or 63358744?\nAnswer: 63358743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 93804354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 6*l = 5*l + 4, -l + 69 + 62 = -2*x + 145 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 139076, 139125, 139174?\n\"Answer: 49*x + 139027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (19 - (11 + -2) - 1)) + 45 + 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(54)\/sqrt(3) - (sqrt(2) + sqrt(2) + 1 + -4))**2.\nAnswer: -44 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**40)**(2\/65)\/(((g\/(g\/(g**(-1)\/g))*g)\/g)**(-3\/28)\/(g\/(g\/g**(2\/3))*g)**(20\/9)) assuming g is positive.\nAnswer: g**(1319\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 + -91. Let t = j + -48. Which is greater: t or 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x - 2. Let z(d) = 4*d + 1. Let f(r) = -r**3 - 8*r**2 + 5. Let h be f(-8). Suppose -4*a - h*y = -2, 0 = a + 2*y - 4 + 2. Calculate a*t(i) - 5*z(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 282 + (0 - (-1)\/1). Let k = h + -163. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 5, u: 1, n: 2, t: 1, i: 1}. What is prob of picking 1 p, 2 n, and 1 t?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 7*y + 6. Let s be d(-4). Let o be s\/(-4)*(-28)\/21. What is the units digit of 14\/18 + o\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(2*a**2 - 13*a**2 - 3*a**2)*(4 - 1 - 4).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 196*g + 38. Let q(k) = 7*k**2 - 394*k + 94. Determine 5*j(w) - 2*q(w).\nAnswer: w**2 - 192*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + q + 1650. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101021002 (base 3) in base 2?\nAnswer: 1110100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*j + 45323 = 0, 34*j = 29*j + 20. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 10 - 10. Let h(n) be the first derivative of n**5\/60 - n**3\/3 + 2. Let m(g) be the third derivative of h(g). Calculate y(m(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*r - 12 = 0, 4*i - 5*r + 9 + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8380 - 368763\/44. Let f = 8\/11 + t. Which is the closest to f? (a) 0.1 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 - -31?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(5))**2 + sqrt(5) - (sqrt(180) + (2*sqrt(180))**2) - (5 + sqrt(5) + (sqrt(10)\/(sqrt(2)*-2) + sqrt(5) - sqrt(5)))**2*3.\nAnswer: -3167\/4 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 375452 and 20.\nAnswer: 1877260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 - -744?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 4, 2, -4 in decreasing order.\nAnswer: 101, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 36*p - 2747. Calculate n(-74).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*n = 9*n - 29*n + 810 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-48) + (-13)\/(-3900) + (-174)\/325\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a. Let w(q) = 15*q - 14. Let l(k) = 38*k - 34. Let h(s) = -5*l(s) + 12*w(s). Determine i(h(p)).\nAnswer: 80*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91919674.\nAnswer: 2, 7, 11, 569, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*f = 3*y + 15, 0 = f. Suppose -4*r + 9*r - 65 = -5*q, y*r = -5*q + 33. Suppose r = a - 2*b - 13, 0 = -a + 5*b + 38. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85872191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 140. Let q(f) = -16*f**2 - 2*f - 1. Let k be q(-1). Let w = k - m. Calculate the greatest common divisor of 16 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/50*(-8)\/72\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 - y - 1. Give k(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 29, -5, 4 in ascending order.\nAnswer: -5, 4, 29, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 1342.\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca (base 13) to base 15.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10828 and 6224851.26.\nAnswer: 6235679.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gruxixiugxgf. What is prob of picking 2 r, 1 x, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 15157.\nAnswer: 2\/15157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009033 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -7*t + 66. Solve t = 3*x, -3*l + x = 4*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 9*g + 13. Let r be j(-8). Suppose 2*i + 3*i - 12 = 3*b, 5 = r*b. Suppose c = -i*l - c + 221, 4*c + 55 = l. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41132334 (base 5) to base 12\nAnswer: -140b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*f - 337 - 363 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**3 + w**2 - 2*w + 21. Let z be j(-4). Let k = -805\/2 - z. Solve 2\/3*v + 0 - k*v**3 - 2\/3*v**2 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v + 0*v - 3*v + (4 - 6 + 3)*(0 - 2*v + 0) + 11*v - 53*v - 23*v.\nAnswer: -59*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 10287 = -23*j - m, 10272 = 3*j + 6*m. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -125. Let z be 4 + 10\/i - -2. Does 13 divide (-1252)\/(-8) - 2\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84078646 to the power of 1\/2, to the nearest integer?\nAnswer: 9169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25404 and 579912?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - 237\/(-12). Suppose -9*j = -4*j - 345. Let v = -29 + j. What is the highest common divisor of v and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = -2*z + 3, -4*z - 3*w = -7. Suppose 2*o + 2 - z = 0. What is the tens digit of o - (-6 - 25\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -27513*p**3 + 8*p**2 + 8*p + 6. Let s be t(-9). Suppose 0 = -4*z + 4057559 - s. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12972562 smaller than 38917688\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2, 0.07, -20 in ascending order.\nAnswer: -20, -2, 0.07, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -32*m - 36. Solve -2*h + m*o + 29 = 0, -8*h = -10*h - 3*o - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - 5. Let y(m) = -3*m**2 + 4 - 3 - 4 - 1. Let b(r) = 5*y(r) - 4*z(r). Let w(l) = -l**2. Give w(b(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -12, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. Let y be v(5). Suppose 22 = 3*h + y. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {n: 4, w: 2, k: 2, r: 1, g: 1, y: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**3\/3 - 1280*d**2\/3 + 14444*d\/3 + 4232\/3.\nAnswer: 4*(d - 23)**2*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6260000 to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 24 = -4*n, 2*q - q = n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.088 - 959.\nAnswer: -959.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 2847 = -4353. Let v = h + 814. List the prime factors of v.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:58 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 5*f - 13, -5*f - 8 = 2*r. Let g be 1*r\/(-3) - 2\/3. Which is the smallest value? (a) 3 (b) 2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.823757 years?\nAnswer: 0.2823757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 times 12266?\nAnswer: -1312462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iabi when four letters picked without replacement from {s: 5, a: 1, b: 1, i: 4, n: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -59\/6 (b) 0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 540 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85153839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -10. Let f(q) = -w + 6*q**2 + 9*q + 10*q**2 + 5*q**2 - 17*q**2. Let v(g) = -2*g**2 - 5*g + 4. Determine -3*f(u) - 5*v(u).\nAnswer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*k**2 + 22931*k - 12 + 12 - 22944*k in the form f*k + u*k**2 + n and give u.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251358 is divided by 300?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26.5? (a) 0 (b) -2\/7 (c) 0.0332 (d) 4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -139. Let b = c - 120.73. What is b rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 8. Determine s(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.318. Let b = -2.982 + s. Sort b, -1.2, -2 in ascending order.\nAnswer: b, -2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 4. Let j(g) = -4*g**2 - 8*g + 4. Let w(x) = 10*x - 1. Let i be w(0). Let m(v) = v**2 + 2*v - 1. Let k(u) = i*j(u) - 3*m(u). Give k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5266 = -2054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12494 (b) 0.2 (c) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110431 (base 5) to base 14\nAnswer: 15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -2)*(-5 + 1). Suppose 2*g - 34 = -x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 32, 20, -28, -124, -280, -508?\n\"Answer: -2*o**3 + 26*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*d = -102*d - 6210. Calculate the remainder when d is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 68*n - 426. Give t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = 5*o - 18, -11 = -2*o + b. Calculate the lowest common multiple of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1.2. Let m = 8.1 + -7. Let j = m + d. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/342 - -43\/9234. Find the common denominator of -107\/432 and p.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (-5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Let q(o) = 25*o + 11. Let n(f) = -2*k(f) - q(f). Let z(a) = -5*a - 2. Let y(u) = -2*n(u) + 11*z(u). Let p = -15 + 8. Calculate y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25 - 80 + 2 - 17*z + 134*z. Let r(g) = -352*g + 310. Let t(x) = -16*h(x) - 5*r(x). Differentiate t(c) wrt c.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-12))\/(148\/888).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171*c**6 + 32*c**5*s**2 + 2*c**2*s**2 - 37836*c**2 wrt c.\nAnswer: 20520*c**3 + 1920*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5851223, 1\/3, -2\/13 in descending order.\nAnswer: 1\/3, -2\/13, -5851223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 - 9*t + 17. What is d(-6)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/122049071647 + 40343442683939417\/19852501994101020. Let u = 42\/2711 - r. Calculate the common denominator of u and -149\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h - 109. Let j be a(-15). Let f = 19 + j. What is the remainder when f is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*f**5 + 773*f - 423*f**5 - 385*f**5 + 70*f**5 wrt f.\nAnswer: -14040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105721?\nAnswer: 7, 11, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, d: 1, y: 5, v: 1}. What is prob of picking 4 y?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.03906?\nAnswer: -0.46094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -55, -54, -51, -46?\n\"Answer: z**2 - 4*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 854098.8 to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1)\/(4*(sqrt(55)\/sqrt(5) + sqrt(11))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 120 = 0. Suppose 5*d = 11*d - r. Solve 0 = 2*j + 3*l - 0 + 4, 5*j - d*l = 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349291821.\nAnswer: 3, 116430607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 553*i**3*p**2 - 19*i**3*p - i**2*p - 3371*i**2 + 37*i*p**2 - 292*p**2 - 3*p wrt p?\nAnswer: 1106*i**3 + 74*i - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000200 + -1?\nAnswer: 2000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 67793032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*t**2 + 2 + (3*t + 2 - 2)*(-t - 2 + 2) + 27*t**2 - 18*t**2 - 14*t**2 in the form n*t**2 + s*t + b and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or 194?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/957984 and -61\/5440?\nAnswer: 9579840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 20. Suppose 2*u - 9 = p, 6 - 21 = d*u + 5*p. Suppose 853319 = u*c - 46681. What is c rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**3 + 3*v**2 + 1904*v + 3784. Calculate i(-2).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 256905.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 28, -4, -56, -134?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oouq when four letters picked without replacement from oquooquoo?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 450 - 804 = 0. What is the smallest common multiple of x and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -42003?\nAnswer: -42002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6962530177?\nAnswer: 6962530177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (6 - 5)) + -6 - (-5 - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 45. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-75))\/((-6)\/(-5)). Let i = -0.29 + 1.39. Let k = i + -0.1. What is the closest to k in -1, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 z when three letters picked without replacement from {y: 2, z: 17}?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-652)\/(-6) - 280\/420. Let p = -179 + 64. Let b = -61 - p. Calculate the greatest common divisor of w and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50708 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**22*k)\/(k\/(k\/(k**(2\/47)\/k))))\/(((k*k\/(k**(-11\/3)*k)*k)\/k*k)\/(k\/k**(-27))) assuming k is positive.\nAnswer: k**(6527\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3 - 13*b**2\/2 + 11*b + 1. Is m(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14878)\/(-10) - (-21)\/105. Calculate the greatest common divisor of h and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:14 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 685568, 685569, 685572, 685577?\n\"Answer: o**2 - 2*o + 685569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(180))**2 + sqrt(180).\nAnswer: 6*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0979 - 2.7.\nAnswer: -2.6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + k = 15, -p + k + 2 + 3 = 0. Suppose r = p*m + m - 13, -3*r + 1 = 5*m. Suppose -6 = -m*v + 4. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259.4 + -1010879.044?\nAnswer: -1007619.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*w**4 - 47730*w**3 - 4127140*w**2 + 2767330*w - 462105 = 0. What is w?\nAnswer: -81, 1\/3, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/3808*(1360\/60)\/17?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51373*c**2*x**3 + 6*c**2*x - 41*c*x**2 - 5*x**2 wrt x.\nAnswer: 308238*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 604093319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298791872?\nAnswer: 2, 19, 29, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2250 and 16854.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 648\/312 + (-2)\/26. Which is the nearest to -2? (a) 24 (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 4. Let y(d) = -1. Let g(k) = 4*k + 10. Let l(c) = -g(c) - 3*y(c). Let a be (-8 - 1)\/((-12)\/8). What is a*l(n) - 11*h(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 14*f + 65. Suppose 4*g + 32 = d, -3*g = 7*d - 2*d + 24. Let s be j(g). What is the units digit of 5\/2 + s\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t - 3*l, 0 = 3*t - 2*l - l + 15. Let r(p) be the first derivative of 1\/3*p**3 + 6*p - 12 + 3*p**2. What is r(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 5. Let g(d) = -d**2 + 5*d - 2. Let a be g(4). Let v be z(a). Suppose v*h - 2*c = c - 1, -2*c = -2*h + 2. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142724 divided by 35681?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1237 + 1768. Let r(p) = 8*p**2 + 32*p - 238. Let f be r(-8). Calculate the greatest common factor of s and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.642545 - 8.6425. Let l = -5 - w. Round l to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10313, -82438, -278231, -659534, -1288189, -2226038, -3534923?\nAnswer: -5276686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -58*j - 1109. Let o be l(-19). Let k(q) = -q + 2. Let u(z) = 3*z - 4. Calculate o*k(h) - 4*u(h).\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873800 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -7\/85141038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 146.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 29*x - 141. Let d be v(5). Let m be 85\/(-10) + 2\/(-4). Is 3 a factor of 35 + d*-1 + m + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwqnqqwqwnqwjjnnknqq. What is prob of sequence jkn?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1863594 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.79 rounded to zero dps?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 6*c - 4*l, 205*c - 206*c - 2*l = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3248*u - 669. Let k(y) = -203*y - 41. What is -6*c(n) + 98*k(n)?\nAnswer: -406*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 834\/19 (c) 11\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509 - -517 - (-226)\/(-28).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 6*u - 63. Suppose -1596 = j - u*j. Let d = j + -82. Solve 10 = -d*n - 4*k, 3*n - 2*n + 3*k = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*j + 6*j**2 - 4*j**2 - 149*j)*(6*j**2 - 6*j**2 + 3*j**3 + 20*j**3).\nAnswer: 46*j**5 + 1150*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*-3*2*sqrt(153))\/((sqrt(72) + ((sqrt(72) - (sqrt(72)*-1 + sqrt(72))) + sqrt(72))*3)\/(sqrt(88)\/(-2*sqrt(11)))).\nAnswer: -75*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 12*a**2 - 5*a + 2. Let h = -7 - -16. Let l be p(h). What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 447996 and 895992?\nAnswer: 895992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1416657 - 0.14252. What is c rounded to five dps?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*f - 143, 187317 = -2*f + 4*u + 187247 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -539 = 4167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62 + 34 + 6 + 849*c**3 - 102 - 21 wrt c.\nAnswer: 2547*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4287916, -8575799, -12863680, -17151559, -21439436, -25727311, -30015184?\nAnswer: -34303055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 6. Let u be (1 - x\/12)*15. Solve 0 = -u*j - 8 + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 66361*d + 796354. Give v(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4\/2 + 15*l**3 - 15*l**2\/2 - 50*l - 30.\nAnswer: 5*(l - 2)*(l + 1)**2*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0*n**2 + 0*n + 0*n**3 + 0 - 3\/5*n**5 + 3*n**4 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -357*d + 1. Let t(c) = -7*c**2 + 8*c. Give p(t(z)).\nAnswer: 2499*z**2 - 2856*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - (-8 - ((-1 - -6) + 1))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*r + 2280 + 3020 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j + 62. Suppose 2*c - 3 = j. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -3 (b) 2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/7 + 24054*i**2\/7 + 72648000*i\/7 + 1944000000\/7 = 0. Calculate i.\nAnswer: -6000, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.9 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 74\/4*-14*(-314)\/1099. What is the highest common divisor of p and 3478?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3806 and 1452770.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/7)\/f))\/f*f**7*f**(-6)*f**(-1\/5)*(f\/f**(1\/4))**(1\/41)*(f**(2\/3)\/f*f)**(-11\/5) assuming f is positive.\nAnswer: f**(1703\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 4 - 4)*(5 - 9 - 3) + (-4 - 1 + 4)*(-2*a - a + 4*a) in the form i*a + x and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318 and 110826021?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -196\/3. Factor -k*u**3 + 2\/3*u**4 + 0*u + 0*u**2 + 0.\nAnswer: u**3*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {o: 1, t: 1, q: 2, b: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z. Let b(h) = -1431*h. Give b(d) + 12*r(d).\nAnswer: -1371*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivivviaavrairgiiira. Give prob of picking 2 v and 2 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 177, 274, 393, 540, 721, 942?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine sixteenths of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 132 = 54*q - 97*q. Let v(h) be the first derivative of h**4\/4 - 4*h**3\/3 - 7*h**2 + 15*h + 1. Let b be v(q). Solve 1 = -b*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1be2b7 (base 15) to base 4\nAnswer: -11031002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -71. Let p = 26 - f. Let x = 10 - p. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19220 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (46 + -39) - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-1*sqrt(12)*-3).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112603008 rounded to the nearest ten thousand?\nAnswer: -112600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29462, -58964, -88450, -117920?\nAnswer: -147374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(65)\/(sqrt(5) + sqrt(5)*-2) - ((sqrt(52))**2 - sqrt(13))*-4).\nAnswer: -5*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -22 - 14. Calculate the remainder when f is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-618)\/(-135) + ((-160)\/10 - -11). Let h = 329\/180 - i. Determine a, given that 3\/4*a**3 - 9\/4*a**2 - 3\/2*a + 3\/4*a**5 + 0 + h*a**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 3*m**2 - m + 2. Let j = -10 + 8. Give r(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -11. Let q = -2.087 - 0.013. Let r = q - -1.7. What is the closest to 1\/2 in r, 3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nce when three letters picked without replacement from hernnnhcehcnrnhnnc.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545 - 0?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31316 * 0.06719\nAnswer: -2104.12204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 290*u**2\/11 - 8704*u\/11 + 120\/11.\nAnswer: 2*(u - 30)*(145*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*l = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -533 + 3b?\nAnswer: -4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 25*w**2 - 32*w - 174. Calculate r(22).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.335606 or 2\/3?\nAnswer: -0.335606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -150?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -123. Calculate the highest common divisor of y and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497634 is divided by 165869.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4718.5716 rounded to 0 decimal places?\nAnswer: -4719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22000 (base 3) to base 12\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112\/145 + 4\/145. Let y = -0.4 + -0.6. What is the nearest to 1 in n, y, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.831576 millilitres?\nAnswer: 0.002831576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2937734*n + 2. Let r(y) = 3*y**2. Calculate z(r(j)).\nAnswer: -8813202*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5843 + -5837. What is the closest to -0.1 in 3\/8, 9, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z - 14. Let t(p) = 9*p + 7 - 12*p - p. Let o(f) = -6*r(f) - 14*t(f). Let j be o(20). Solve 0 = -y + 5*i + 6, i + 4*i + j = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.140253 to four dps.\nAnswer: 0.1403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 46 = 24*u. Calculate the common denominator of u and (-96)\/14 + 0 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11110 and 7458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + l - 1. Let p(s) be the second derivative of 9*s**5\/20 + 2*s**4\/3 - s**3\/2 + 3*s**2\/2 + 6440*s. Determine p(m) + 5*z(m).\nAnswer: 4*m**3 + 3*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.98 in -12, 61, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 46. Let z = -57 + i. Let h(a) = a**3 + 8*a**2 + 4*a + 12. Determine h(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56159314*g**4 + 404525945?\nAnswer: 224637256*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 9067 + 18067 - 8178 to the form a + p*u**2 + s*u and give a.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1293 and -0.7.\nAnswer: -0.8293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-3 + (-21)\/(-6)). Suppose -5 - 11 = -i*u. Solve -6*b - 5 = -b - 5*f, 4*b = -2*f + u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 20. Let m = l - 23. Suppose 4 = -3*i + 4*w, i + 4 = 3*w - w. Solve 3*g = -m + 14, h - g = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/9 - 64*a**3\/9 - 320*a**2\/9 - 512*a\/9.\nAnswer: -4*a*(a + 4)**2*(a + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.29 + 2.\nAnswer: 51.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 6\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318469.4647 - -318539. Let f = -1.378 + 1.4427. Let p = g + f. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-18)*(-576)\/28288*17?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 2*n - 6, 2*i - 4*n + 3*n - 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46500\/(-5850))\/(46\/897).\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 348, 523, 698, 873?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1241697279714 and 4.\nAnswer: 3.8758302720286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -372*t**2 + 2899*t - 35. Let h(r) = -185*r**2 + 1449*r - 14. Let b(g) = 5*h(g) - 2*q(g). Find the second derivative of b(l) wrt l.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712 - 710 = 4*d + 3*y, 7*d - 18 = 2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.24 + -15.94. Sort -1, 3, f, -2, 4.\nAnswer: -2, -1, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22620\/(-1092) - -19)\/((-6)\/7). Determine c so that 6\/11 - c - 28\/11*c**v + 52\/11*c**3 = 0.\nAnswer: -6\/13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 462329.07 and 97.\nAnswer: 462426.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298493*j**2 - 13071*j + 7?\nAnswer: -596986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70335 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2228929, -4457854, -6686779, -8915704?\nAnswer: -11144629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 31*h + 10 = -30*h, 5*k = -3*h + 42. Solve 0 = -5*n + k*n - r, -3*r = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83, 2\/3, -4, 3.874?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -3*y**8\/280 - y**6\/45 + 13*y**3\/6 - y. Let d(o) be the second derivative of i(o). Find the third derivative of d(a) wrt a.\nAnswer: -432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -65. Let y be (u\/(-6) - 3) + -1. Put 5, -7, y in decreasing order.\nAnswer: 5, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3472, -4882, -6286, -7684?\nAnswer: -9076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/355 in 0, 0.2, -7, -2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-15) - 2\/15. Let u(d) be the second derivative of 0 + 0*d**4 + z*d**2 - 1\/20*d**5 + d + 1\/6*d**3. Find the second derivative of u(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 288 + 24\/(-36) + (-14)\/(-3). What are the prime factors of x + -29 - (2 + 0)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772953331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + s = 9, o - s = -6*s + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33620 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13985373 plus -2745.79?\nAnswer: -2745.65014627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1) + 1 + 64. Suppose -3*p + v = 3*y, -5*y + 113 = 4*p - 3*p. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40191 - 50*v**2 + 13392 + 2*v + 13399 + 13400.\nAnswer: -50*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i = -262 + 2260. 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: How many minutes are there between 11:11 AM and 5:50 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34788*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let v = -1.5 - u. Let j = 40 + -42. Which is the nearest to v? (a) 0.3 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1207656*a**2*i**3 + 7324*a**2 + 848*a*i**2 - 2*a*i - i**3 wrt i?\nAnswer: 7245936*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 16. Solve -4*j + 2 = -k*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/4 + 9135057*t\/2 - 18270111\/4 = 0. Calculate t.\nAnswer: 1, 6090037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*8*(204 + -10). Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -11. Suppose 13 = -3*z + 4*y, -4*z + 8 = 2*y - 4. Let h(t) = 3*t**2 + t - 1. Let w be h(z). What is the highest common factor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z**4 - 3*z)*(-z - 3*z + z) - 2*z**3 + z**5 + 2*z**3 + (0*z**2 - 3*z**2 + z**2)*(z**2 - z**3 - z**2).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5781729 litres?\nAnswer: 578.1729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14958 - 7886. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 3, e: 11}. Give prob of picking 3 e.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000094732587 rounded to seven decimal places?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -11 - -1 - -10) + 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a - 42. Let r be s(-5). Let m(c) = 20*c**2 + 11. Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491\/300 + -29\/75. Is -7 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwf when three letters picked without replacement from frdfwtgd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7c60 (base 14) to base 13\nAnswer: 9b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0188 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -847, -2767, -6023, -10621, -16567, -23867, -32527?\n\"Answer: -n**3 - 662*n**2 + 73*n - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*u**3 + 1 - 152*u**3 + 20*u**3 + 0*u + 2*u.\nAnswer: 92*u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -771 + 381 - 2*h + 4*h + 405 - 17*h**2 with respect to h.\nAnswer: -34*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -21, -30, -43, -60, -81?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-30) - 488\/(-60). Let b(x) = 4*x**2 + x + 1 + x**3 + i*x - 7*x. Suppose -2 = 2*n - n + h, 0 = 2*n - 5*h + 4. What is b(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 41331884.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 9 + (0 - (-2 - -1)). Let p be (3 - 1)*(-21 + 1). Let a = 37 + p. Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77062585 < 77062580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.248726 plus -0.4?\nAnswer: -0.151274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121654*i = 121649*i + 2*k + 9, -21 = -2*i - 5*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78599001?\nAnswer: 3, 13, 2015359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((188\/3)\/(-47))\/(5\/(105\/4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*m + 132 = -251*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, -246, -1107, -2564, -4695, -7578, -11291?\n\"Answer: -13*l**3 - 181*l**2 + 291*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 54. Let l be 2*8\/32*(i - -1). Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 2*f - 2. Let x(h) = 13*h**2 + 9*h - 9. Let c(z) = 9*o(z) - 2*x(z). Let s(p) = 2*p**2 + 13*p. Determine s(c(g)).\nAnswer: 2*g**4 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4024 + -102413?\nAnswer: -43334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51\/10 + 11\/2. Let v(l) be the first derivative of 0*l + i*l**2 - 4\/15*l**3 + 5. Factor v(q).\nAnswer: -4*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 10*q + 3*q**2 + 63 - 7*q**2 + q**3 - 4*q + 3*q**2 to k + v*q + i*q**2 + c*q**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 19*v**2 - 35*v + 1. Let q be y(17). Calculate the lowest common multiple of 15 and q\/(-48)*189\/1.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -104550?\nAnswer: 104551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-64))\/((297\/88)\/9)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t**3 - 12*t**3 + 33*t**3 + 2*t**2)*((-t + 0*t + 0*t)*(-1 + 6 - 3) + 0*t + 2*t - 3*t + 103*t + 90*t - 116*t).\nAnswer: 222*t**4 + 148*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-2 + 0 + 3) - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 14*s**3 + 17*s**3 + 9*s**3 - 8 to the form t*s**3 + z*s + v*s**2 + w and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -54000 + -3 - 2. Let x be 0 + 2 + (a - 0). What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*p + 29*p - 265075. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3974 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4 - ((-3 - 4) + 10)) + -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001100000 + 10110100001?\nAnswer: 11011000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 1. Let q be t(0). Let r = -1 + q. Let n(l) = 2*l + r + 0. Let u(i) = 2*i**2. Determine u(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**3\/3 - 3*c**2 + 3*c. Let o be y(5). Solve 0 = z + o*z + 5, -m = -5*z - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let h(w) = 2*w**2 - 6*w - 1. Let b(d) = 13*d**2 - 35*d - 6. Let p(u) = -b(u) + 6*h(u). Calculate p(q) - t(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 11. Let x = 10 - b. Which is greater: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176300*v + 352601*v - 179*v**2 - 176301*v.\nAnswer: -179*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*x + 92*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**5\/30 + 7*a**2\/2 - 6. Let b(f) be the second derivative of i(f). Let r(j) = 5*j. Calculate b(r(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:33 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {w: 2, y: 3, l: 1, i: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {z: 5, h: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*c = v - 2357, -2*c = 4*v - 9372. Suppose 605 = k + 14*j - 11*j, -4*k + v = -3*j. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 1 - 15. Let g be 64\/(-60) - x\/(-6). What is the second biggest value in g, 0, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, 1, 4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 13*w - 2*n, -5*w - 6 = -4*n. Let h(c) = 4*c + 21. Give h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109\/4 + -26. Let o(x) = -x**3 - 4*x**2 + 2*x + 4. Let k be o(-4). Let u be (-6 - k) + (-36)\/(-21). Which is the closest to u? (a) -5 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:07 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 - -194. What is the smallest value in l, -5, -0.1, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 144*o**2 - 3*o - 48*o**2 + 194*o**2 in the form l + u*o**2 + r*o and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 90\/19 and -977 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274246283986 - 9.\nAnswer: 274246283977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)\/b**2)**(2\/31)*b*b\/b**(3\/5)*b*b**(-1)*(b*b\/(b\/b**0))**31 assuming b is positive.\nAnswer: b**(4996\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 37 - 9. What is the first derivative of -u*z**3 + 14*z**3 - 13*z**4 - 4 - 4 wrt z?\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*i**5 + 21*i**5 - 44*i**5 - 2*i**3 + 2*i**3 - 2*i**5 + (-2*i + 2*i + i)*(0*i**4 - 4*i**4 + 5*i**4).\nAnswer: -44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.6 + -94. Let p = 3.4 + n. What is the second smallest value in -0.08, 0.1, p?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*l + 2*l**2 + 15 + 27*l + (0*l - 3*l + 0*l)*(0*l + 0*l + l))*(-65 + 65 + 158*l) - 5*l**2 - l**3 + 5*l**2.\nAnswer: -159*l**3 + 2370*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3138 and 34\/27719?\nAnswer: 166314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a - 4*n - 6, -5*a - n = -8. Let v(u) = 3*u**3 - 4*u**3 + u + a*u**2 + 4*u**3. Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 99812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-7 - -8) + 2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Let w = 19 + -7. Suppose k + w = 5*l, 0*k + 2 = -l - 2*k. Which is the third smallest value? (a) -2\/11 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0459 - -0.9541. What is the second biggest value in b, 8, 0.4, 234?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30 and 434622600394.\nAnswer: 434622600424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n**3 + 0*n + 1\/2 - n**2 + 1\/2*n**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11.23 (b) 3 (c) -40 (d) -1\/6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22.577, -3\/4, -1\/21?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117815\/124 + -3801\/4. What is the closest to 0.1 in 0.04, 0.3, w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.53613 and 9.9.\nAnswer: -15.207687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*j**2 + 4\/3*j**3 - 4\/3*j - 3\/2 - 1\/6*j**4.\nAnswer: -(j - 9)*(j - 1)*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129393*t + 2310 = 129426*t for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 278.119 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 36. Let r(p) = 29*p + 9. Let n(j) = -14*j - 2. Let x(o) = -2*n(o) - r(o). What is the tens digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3\/3 + 130*t**2\/3 + 284*t\/3 - 1072\/3 = 0.\nAnswer: -4, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.778 - 0.222. Let u = 23611532 + -23611576.000044. Let w = u - l. What is w rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**0\/g))\/g)**(47\/3)*(g**(2\/7))**(-18\/5) assuming g is positive.\nAnswer: g**(-36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -685212 divided by 29\nAnswer: -23628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + 2*l - 1. Let f be c(1). Let b(s) = s**2 + 4*s. Let z be b(f). Solve -3*p = 15, z*o - 4*p - 3 = 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58783867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -30 + 3 + 22*t - 20 + 5 - t**3 + 18*t**2. Let i be m(19). Calculate the greatest common factor of 285 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 285893\/90 + (-13)\/(-78). Suppose 0 = 3*u - 13359 + 3828. Let t = u - m. What is the common denominator of t and 20\/33?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (184 + -182 + 13 + -1 - 11) + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101213 + -2?\nAnswer: 1101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (2 + sqrt(1100)*-1 + sqrt(1100))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-2*-6)\/(sqrt(588)*-1 - sqrt(12)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 - l + 2. Let h be k(1). Suppose -3*u + 23 = -h. Let b be -4 + 8*50004\/u. What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 279\/(615\/(-258) - -2). Let s = -79067\/110 - g. Calculate the common denominator of (-4)\/10 + 198\/(-80) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -15. Let t = y - 49.2. Let l = -1.8 + t. Is -2\/7 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87929 is divided by 11929.\nAnswer: 4426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 683887.7 weeks?\nAnswer: 413615280960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 92263*t**2 - 2128069160*t + 2128161424.\nAnswer: -(t - 1)*(t + 46132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 16?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4494)\/(-4)*(-54)\/(-81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 + 2*r + 4*r**2 + r**3 + r**3 + 6. Let i be (-2565)\/(-1140)*(-20)\/(-9). What is l(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -96*j + 91*j + 2*y, -3*y - 88 = 8*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - x**2 - x**4 + 4*x**2 - 4 + 5 in the form k*x**2 + n*x**4 + a + z*x**3 + r*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17080, -34398, -51988, -69856, -88008, -106450, -125188, -144228?\nAnswer: -163576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3195 by 146.\nAnswer: -3195\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.1 (b) 1321 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 0.0509032?\nAnswer: 2.1379344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 494 or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1431*z + 1417*z + 182 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911 + 911 + 2202*s - 2249*s + 45*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxpgxxngggx. What is prob of picking 3 g?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3566 - 2394. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45448.0000051897 - -45448. Round u to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2379 rounded to three dps?\nAnswer: -0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 418*g**3 - 2210*g**2 + 608*g - 40 = 0. What is g?\nAnswer: 2\/19, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*48\/(-184).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 374*u = -373*u - 3, -5*u - 35 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.21313635 to 1 decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 35 + o + 8 - 44. Let w(f) = -f + 22. Let l(x) = 3*t(x) + w(x). Let u(k) = -2*k**2. Calculate l(u(q)).\nAnswer: -4*q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31536607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*j**3 - 142*j**3 + 15*j**3 - 17*j**3.\nAnswer: -488*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/73 (b) -14\/11 (c) 72595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 442144 and 9.\nAnswer: 3979296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 394451598457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g**2 - 274 + 0*g - 1\/3*g**3. Let i(k) = -15*k - 22*k - 9*k. Calculate d(i(f)).\nAnswer: -2116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25354 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 11*m + 3. Let h be v(14). Calculate the remainder when 2\/6 + 3855\/h is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 596*a**3 - 2*a**2 + 596*a = 0.\nAnswer: -1, 0, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1280\/12)\/(-8)*(-60)\/25. What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 4*l**5 + 2*l**5 + (4*l**4 + 2*l**4 - 4*l**4)*(2 + 5 - 4)*((2 - 1 - 2)*(-14*l + 3*l + 0*l) + 5*l + l - 3*l).\nAnswer: 86*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 674, 1001, 1328, 1655, 1982?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93546 or -93547?\nAnswer: -93546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o + 3. Let y = -18 + 12. Let c be x(y). What are the prime factors of 1*c*(-60)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 1. Let h(i) = -4*i**3 - 14*i**2 - 49*i + 3. Let d(k) = -2*h(k) + 6*y(k). Factor d(o).\nAnswer: 2*o*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -3\/4 (c) 42 (d) -2 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, v: 2, s: 5}. What is prob of picking 1 s and 2 v?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86 and 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -515.161 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/32*(-490)\/(-245)*4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(300) + -1 + sqrt(300))**2.\nAnswer: -160*sqrt(3) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1325 + 1331. Solve z + l = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 15042?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 256\/26 + 0 + (-6)\/(-39). Let w(x) = -55*x**2 + 57*x**2 + 0*x + z*x - 23. What is the tens digit of w(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-682)\/(-16027) - (-654)\/94.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29661 + 137498. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, j: 1, i: 2, e: 1, q: 1}. Give prob of picking 1 q, 1 i, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -1, -51, -157, -337?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndknpky. Give prob of sequence yk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80)*1 - sqrt(80) - (-2 + sqrt(605))**2).\nAnswer: -132*sqrt(5) + 1827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjjyjjojjjbbojjjjoj. Give prob of picking 1 o and 1 b.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206180 and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 256*u - 8059. Give o(-219).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 12. Let t be v(-9). Suppose 0 = -q - 22 - t. Let p be (-4)\/(-18) + q\/(-9). Solve 0 = -p*y - 5*d + 14, 4 - 12 = -4*y + 4*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*g - 50*g - 5. What is the third biggest value in 4, 0.5, 0.27, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Suppose q - 7 = 2*j + i*q, 5*q = -4*j - 17. Let m be (4\/j)\/(1\/(-12)). Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721, 1429, 2121, 2797, 3457?\nAnswer: 4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 39. What is the tens digit of (-4)\/10 - 522\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280720 divided by 5.\nAnswer: 56144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(22)*1*1 + sqrt(22) - sqrt(22)) + (sqrt(132) + sqrt(132)*1 - sqrt(132) - sqrt(132))\/sqrt(6))\/((sqrt(24)*-2)\/sqrt(3) - sqrt(8)).\nAnswer: -sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) 0.4416 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2 + 4*w. Let k(g) = 15*g**2 - 9*g. Let i(n) = -6*k(n) - 13*v(n). Let s be i(-3). Solve -19 - 2 = -s*b - 2*u, 25 = 2*b + 5*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + r - 4*r + (-4 + 4 - 4)*(-2*r - r + r) - 20*r + 3*r + r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -16, -14, 0, 32, 88, 174, 296?\n\"Answer: v**3 - 3*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0*a**2 + 3\/28*a**4 - 3\/70*a**5 - 1\/70*a**6 - 9*a + 0 + 0*a**3. Let f(z) = 0. Calculate z.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4\/125351, -5\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 193.\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-9)\/12) + 20. Suppose -84*z + 88*z - h = 0. Let d(u) = -u**2 + 1. Let o(j) = 3*j**2 + 5*j - 9. Let v(a) = -4*d(a) - o(a). Calculate v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13356 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1050.9 and -1137.\nAnswer: -1194873.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 24. What is the closest to -1 in -0.5, 3, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and -0.45086.\nAnswer: -24.45086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 3*a - 1274 = 6*j, 0 = -2*j + 5*a + 522. Calculate the highest common factor of j and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 224*o - 225*o. Let a(y) = 3*y + 2. What is a(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvohaooeacvvh. What is prob of sequence cv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-10) + (-4)\/(-10). Suppose 0 = 6*w - 1573 - 71. Suppose b*x = 2*g - 7*g + w, -5*g + 127 = x. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*y**4 - 1428*y**2?\nAnswer: 6792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000200 (base 3) to base 15.\nAnswer: -147c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -9)\/(7 - 6). Suppose j = 10*k - 19*k + 216. Solve 25*b - k*b - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 2*d**2 + 754*d + 108 - 245*d as m*d + p*d**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142010 (base 5) to base 4.\nAnswer: 1123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-49) + (-128)\/14. Let x(i) = i - 15. Let z(f) = -f**3 + 4*f**2 - 2*f + 4. Let k be z(3). Let v be x(k). Is v greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**10\/15120 + f**7\/315 - f**4\/6 - 10*f. Let v(z) be the third derivative of w(z). Find the third derivative of v(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {w: 5, m: 2, s: 3, n: 7, q: 2, f: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1216) - (sqrt(1216) + 0 + 0)) + (sqrt(1216) + 1)*3)*-3)**2 + ((-3*sqrt(1216))**2 + 0 - (-3 + (sqrt(1216) - (3 + sqrt(1216))))**2).\nAnswer: 1296*sqrt(19) + 109484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13813 (base 12) to base 9\nAnswer: 41136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -314 times 0.096\nAnswer: -30.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 804067*0.4\nAnswer: 321626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -351*f + 359*f + 104 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -1.2. Let m = -8 + 3. Let y be 2\/6 + 3\/(-36). Which is the closest to w? (a) y (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156 is divided by 528?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 227 = -1967. Suppose 118 = -3*w + 5*w + 4*u, 5*w = -5*u + l. Let v = w + -41. Solve 2*z = -2*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422621.\nAnswer: 422621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 275, -4, -22, -5, 5 in decreasing order.\nAnswer: 275, 5, 2, -2, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 11*o**2 - 17*o + 12. Let f be g(-3). Solve f = -2*q + 53 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-18)*28608\/(-3328))\/(2\/(-4)) and 55\/288?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 + 1\/20*y**5 + 0*y**2 - 1\/3*y**3 + 1\/12*y**4 + 4*y. What is x in o(x) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*a - 461*a = 5*p - 27, 2*p + 3*a - 4 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 - 32*v**4 + 148*v**3 - 208*v**2 + 90*v.\nAnswer: 2*v*(v - 9)*(v - 5)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 + -144. Let x = h - 137. Calculate the least common multiple of 57 and x.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5*s - 7. Let d(c) = 12*c**3 + 1. Let x be d(1). Let u = -5 - 3. Let k = u + x. Give l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 64706031.\nAnswer: 64706031.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaeeeaeeeeaeaeeea. Give prob of sequence eaea.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(((p\/(p**(-1)*p)*p)\/p)\/p)*p)**(-9\/2)*p\/(p**(-6)*p)*p**(-1\/4))**(4\/9) assuming p is positive.\nAnswer: p**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 121493808 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*t = -13 + 7, 2*t = 2*y + 6. Suppose -i + 15 + 182 = z, y = 2*i - 3*z - 399. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j + 8. Suppose -2*g - 2*z + j*z + 10 = 0, -1 = g + 2*z. Solve -5*t + 15 = c + 2*c, -3*c = -t + g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-1)\/(-3*4\/12). Suppose -2*t + v = 2. Put t, 4, 2 in increasing order.\nAnswer: 2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 5*a**6\/6 + 17*a**5\/12 - 25*a**4\/24 - 5*a**3\/3 + 27*a**2. Factor l(y).\nAnswer: 5*(y + 1)*(4*y + 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664 and 6723?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, e: 3}. Give prob of sequence ea.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 294, 595, 898, 1203?\n\"Answer: p**2 + 298*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzppzzp. What is prob of picking 3 p?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23661575 is divided by 813?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -100 (b) -3.4 (c) -1.35 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1, -39152225?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 24*b + 36. Give o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -0*q. Let k(a) = a**3 - 4*a**2 - 3*a + 3. Is k(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197273, 197274, 197275, 197276, 197277?\nAnswer: 197278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596 + -854. Suppose -2*g - 164 = 350. Is g equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 u when three letters picked without replacement from mgukhkmu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 140, 158, 182, 212, 248, 290?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25267 and 8446069?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = k + 40*v, 4*k - 3*v - 12008 + 11765 = 0 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245*j - 1255*j = 0. Let u(t) be the second derivative of -1\/24*t**4 + 1\/15*t**6 + 22*t + 0 - 3\/40*t**5 + j*t**2 + 0*t**3. Find a, given that u(a) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159792, -319562, -479286, -638940, -798500?\nAnswer: -957942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*g + 2*g - 355 = 0, -2*d + 154 = -5*g. Suppose d*h + 21 = 74*h. Solve h*s - c + 3 = 0, -4*c = 3*s + s + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2135532566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 1258839618*b**2 - 30*b**3 - 1258839613*b**2.\nAnswer: -40*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/((-36)\/5292*21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*j = -2*j + 79, 3*j = 3*n + 60. Let q(c) = c**3 + 20*c**2 - 20*c + 26. Let v be q(n). Solve 4*b + 0*b + 3*y + v = 0, -4*y = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019205 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -4\/3, 510\/11, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324042 plus -481?\nAnswer: 323561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3818*x**3 + 2*x**2 - 2903*x**3 + 2060*x**3.\nAnswer: -4661*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071712851 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21065053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:23 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, m: 5, n: 7, x: 1}. Give prob of sequence mmt.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116180221 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 3*t**2 + 0*t**5 + 0*t**6 + 0 + 0*t + 0*t**3 + 1\/105*t**7 + 1\/24*t**4. What is the second derivative of z(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393705262 and 7864?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101000011000100101?\nAnswer: -101000011000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 2 - 83*f**3 + 42*f**3 - f**2 + 43*f**3 as r*f**2 + d + v*f + z*f**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196618 is divided by 39006?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 3*u + 5*u + 5*u - 9. Suppose -36 = -y - 24. Let q be j(y). Solve -28 = 5*p - 3*s, -4*p + 3*s - 8 = -q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-4) + 1\/(-2). Let p be 9500\/1 + -4 + t. What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6944, -0.03, -4\/5, 289, -5, 1?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24125457 is divided by 3989?\nAnswer: 3974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -164. Let o = 100 - x. Suppose 3*n - 384 - o = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 45 = -d, 3*l - 2*d - 27 = -6*d. Let m = -228 - -1142\/5. Which is the nearest to m? (a) -1\/3 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488*d - 17*d**2 - 9*d**2 + 4 + 0 + 2*d**2.\nAnswer: -24*d**2 - 1488*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, -120, -375, -766, -1299, -1980, -2815, -3810?\n\"Answer: -m**3 - 59*m**2 + 59*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46912025 - 5?\nAnswer: 46912020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 988728089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*u + 61*u + 1 + 76*u - 1 to the form c*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635 is divided by 306.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1095, 1096, 1095, 1092, 1087?\n\"Answer: -t**2 + 4*t + 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 4, a: 1, e: 2}. Give prob of sequence an.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -8. Let c = 75 - 6. Let m = 113 - c. What is the greatest common divisor of q and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3301, 2946, 2351, 1516, 441?\n\"Answer: -120*l**2 + 5*l + 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030393 to 7 decimal places.\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 19*t = -100. Let i(w) = -5*w + 6*w - 3 - 3 + t. Let d(j) be the first derivative of j**2 - 6*j + 8. Determine -d(o) + 3*i(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5 = 5*p, 2*m + 5 - 4 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:19 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -18*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -15. Let l = h + 12. Let u = 5 + l. What is the nearest to 1 in 2\/9, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-189)\/70 + 1\/5. Let h = -0.96478 + -0.03522. Which is the closest to h? (a) 2\/3 (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133119 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.2, -1\/3, -8, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 + 4762588*i**2 + 9525164*i + 4762580 = 0. What is i?\nAnswer: -1190645, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1372.004036 - 1372. Round d to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/(95\/(-45) - -2). Let u be (-1*s\/8 - 1)*10. Solve 0 = -4*m - 4*l, 8 + 2 = u*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = m. Solve -5 = -m*z + 3*z + g, -g - 2 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 180 = 17*v + 3*x, -5*x = 5*v + 70 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -16\/7, 14, -1\/13?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - c + 2. Let p(u) = u**3 + 5*u**2 - 2*u - 6. Calculate the lowest common multiple of p(-4) and d(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f. Let c(z) = 46*z**2 - 26*z - 4. Let u(a) = -229*a**2 + 141*a + 22. Let n(d) = 11*c(d) + 2*u(d). What is j(n(l))?\nAnswer: 240*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -142324674500 to the nearest 1000000.\nAnswer: -142325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, -4, 6.51, -2\/11 in ascending order.\nAnswer: -4, -2\/11, 2\/5, 3, 6.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884932930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(132\/(-30)) + 20\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and 7\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2631*f = -89313 + 46698 - 54732 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - n. Let j = 18 - 19. Determine v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562877611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**2 - 6*r. Let p(i) = -i**2 - i. Let d(g) = -b(g) + 6*p(g). Let j(z) = -z**2. What is d(j(u))?\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**19\/(x**0\/x)**4 assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -416. Suppose 177*m - 167*m - r = 0. What is the lowest common multiple of 64 and m?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 8. Calculate the remainder when 138 is divided by q(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - -1) + 40)*32\/(-96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 568344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -12. Let p be (h\/10)\/((-12)\/(-5) - 2). Suppose 530 = 2*y + 2*j, 1295 = 7*y - p*y - j. Does 61 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 10 - (-43 + 16 + 20)) + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 12*h**2 + 16*h - 6. Let x be p(13). Suppose -3*w - 3 = -x. Suppose l - w = -l. Solve 0*u = 5*u - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*p - 66*p**2 - 369*p**2 - 42*p + 48*p**2 to y*p + z + d*p**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2612 + 10393\/4. Let l = 351\/20 + x. Is 5 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570864 is divided by 22834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236672819?\nAnswer: 2351, 100669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1698857921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2316)\/(-5211))\/((-6)\/27) - (105 + -2)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 0*j = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 53.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0. Let a = -2.41 - -1.4. Let l = 0.01 + a. What is the nearest to l in o, 0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 15040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = t + 2*q, 3*t + 716*q - 727*q + 57 = 0 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-392)\/(-170))\/2 - 1. Let j = q - 6\/17. Which is the second smallest value? (a) -2\/13 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/2)\/v*v\/((v*v*(v\/v**(-6))\/v)\/v*v))\/(v**(-1))**(-16) assuming v is positive.\nAnswer: v**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -43. Calculate the highest common factor of 280 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202201212 - -122020100?\nAnswer: 1101222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1830\/(-21) + 5\/35. Let i = 13603\/150 + -201\/50. Let g = i + t. Which is the smallest value? (a) g (b) 3 (c) -2\/3 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/(-16)*(-549)\/427?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*p = 512*p - 3*k - 41, 0 = 5*p - 2*k - 49 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-1\/4) assuming r is positive.\nAnswer: r**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*p = 625*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q*((q\/((((q**9*q)\/q)\/q)\/q))\/q)\/q*q*((q**(3\/7)\/q)\/q)**(1\/28) assuming q is positive.\nAnswer: q**(-795\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from hzkhkkkkhvsvkzj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.945699 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80781 + -80781. Let s**3 - 1\/2*s**2 + 0*s + h - 1\/2*s**4 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + 2)**2 + sqrt(5) - (sqrt(5) + -1 + -3).\nAnswer: 16*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, u: 1, f: 7}. Give prob of picking 3 x and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhdh when four letters picked without replacement from {d: 2, f: 1, h: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 - -4)\/(4\/(-24))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (13 + -33 + 24)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 349728 and 52954648.\nAnswer: 635455776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 67 = 3*p - 29*u, 2*p - 63 = -5*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -64.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 158444261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0 + 9. Let g be 2\/10*((6 - a) + -1). Factor -1\/5 + g*x - 1\/5*x**2.\nAnswer: -(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 - f - 2. Let q(y) = 3*y - 2*y + 4*y - 3*y - 1. Let s be q(-1). Calculate z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l + 24*l + 7725 = -209*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51988199279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445284 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + r - 1 - 2*r + 0 + 0 + (3 + 1 - 6)*(2 + 2*r - 2) + 2 + 32*r - 7*r - 73*r)*(-6 + 5 - 7) to d*r + l and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 2*w**2 + 4*w**2)*(33*w - 31*w - 35*w) + (13*w**2 - 6 + 6 - 2)*(-2*w + 0*w + 0*w) to q + p*w**2 + d*w**3 + v*w and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309 + 414 + 207*c**3 - 5*c**2 + 237*c**3 + 7*c**2 wrt c?\nAnswer: 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/3*24\/160)\/(5\/25)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llyllzlyzwzylzhw. What is prob of sequence yhlz?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 203 = -75. Is (-2 + q)*2 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htjqhhajjhjrh. What is prob of picking 1 a, 1 q, and 2 j?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/5)\/m**3*(m\/(m*m\/(m**(-1\/4)\/m)))\/m**(-1)*((m\/(m*m**1\/m))\/m)**(-41)*m**0*m\/m**(1\/3) assuming m is positive.\nAnswer: m**(2281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -2 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2525 divided by 6.\nAnswer: 2525\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -296, -89, 118, 325, 532?\n\"Answer: 207*v - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 - 9*c**2 + 4*c + 15. Does 2 divide a(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2295 = 1162*c - 1009*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1048*u - 11328*u + 986880 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 268439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7901111 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478545 a multiple of 751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -13. Suppose -s - 3*s - l - 17 = 0, -5*s = -3*l + 34. Let d = s - -8. Calculate the remainder when g is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20031, 908, -1 in ascending order.\nAnswer: -20031, -1, 908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:38 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = v + 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.96 + 11.94. Let c = z + -67.83. Let v = c - 15. Round v to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -101.\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + b - 24. Suppose 52 = 2*d - b*u, 34 = 2*d + 3*u - 30. Let j = d + -28. Calculate the smallest common multiple of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u - 1. Let y be j(5). Suppose -21 - 6 = 3*z. Let a = y + z. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 7*u - 8. What is t(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1206 - 3?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.21167197 + 33.78832745. Let j = n + -38. What is j rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2 - 7. Let p(s) = 0*s**2 + s**2 + 3*s - 1 - 2*s**2 - 4*s. Let l(q) = -3*q**2 - 6*q - 8. Let f(o) = l(o) - 6*p(o). What is 7*f(j) - 2*z(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 16}. What is prob of sequence uxxu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 2*k**2 - k - 36. Calculate n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 69709.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92558 bigger than 7682266\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2014998.\nAnswer: 2, 3, 335833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 20061 - 10186 = -218*t. Calculate the remainder when 866 is divided by t.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*p**4 - 3*p**3 + 279*p**2?\nAnswer: 312*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 16, 39, 82, 151, 252, 391?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1423 + 1499 + 975907*p - 102 - 976862*p + 5*p**2.\nAnswer: 5*(p - 188)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 10*u**2 - u + 13. Let n be v(10). Let a be 3*(n + -8)*1\/(-1). What is the highest common divisor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-81)\/15 + 5 + (-643)\/5. What is the remainder when y*20\/(-15) - (0 - 0) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 110 (b) -0.06 (c) 21 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1012)\/77 - -13 - (-34)\/(-7). Put -3, -62, c in decreasing order.\nAnswer: -3, c, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -4*q, -2*q = -q + 2. Let z be (-64)\/(-36) - x\/(-18). Let m = 7 + z. Solve 0 = 2*j - 4*o + m - 3, 5*o - 5 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/2)\/(9\/24). Let l = b - 3. What is the second derivative of -10*h + h + h + 8*h**l wrt h?\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (3\/(-1) - -7)*7\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(-3 + 4 - 2)*(18*l**3 + 67 - 67) to t*l**3 + u*l**2 + o + s*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3161 and -0.2.\nAnswer: -632.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 22 = 3*f + 5*p, -f - 4*p = -13. Solve 15*i = 12*i + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9452 - -9451.3. Suppose -t + 5 = -2*t. Which is the closest to 1? (a) v (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960*o - 205 = -1165. Let g = 0.28 - 0.3. Which is the third smallest value? (a) g (b) 4\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 3*c**2 + 0 + 1\/24*c**4 + 2\/3*c**3 + 0*c. Let q(y) = 2*y + 7. Calculate 6*q(r) - 11*u(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337*q - 1365*q = -112. Solve t = 5*b + 18, -b - 4*t - q = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllulllulluulllull. What is prob of picking 3 l?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1062 - -1076. Solve -7*r = -11*r - h + a, -2 = -h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14364512671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 199772*w - 199772*w - 8*w**2.\nAnswer: -8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99020383 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 20*n**2 + 5*n - 24. Let s(x) = 2*x**2 + x - 1. Let f(a) = h(a) - 3*s(a). Give f(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*s**4 + 15*s - 8?\nAnswer: -2856*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 9*n + 22. Suppose 0 = -7*h + 14 + 21. Let v be l(h). Factor 4*x**2 - 16*x + 135*x**3 - 136*x**3 + 4*x**v.\nAnswer: -x*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*s + 1223 = 1652*s + 359*s - 30673 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -2*u, -5*t + 46 = 5*u + 16. Which is the closest to 0? (a) u (b) 0.2 (c) 19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2615 (b) -2\/17 (c) 2\/9 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 36*y + 171. Calculate f(7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -u - 6 + 36 - 18, -s + 3*s + 27 = -7*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24051892 to the power of 1\/2, to the nearest integer?\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20377?\nAnswer: 7, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxkxxaailx. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = 4*z - 15*z. Is z >= 3\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.1 (c) 13095 (d) -3.5 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(1089))\/((sqrt(3) + sqrt(27))*5 + sqrt(3) + (1*(sqrt(3) + (sqrt(3) - sqrt(75))) - sqrt(3))).\nAnswer: 66*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22018, -44023, -66068, -88159, -110302, -132503?\nAnswer: -154768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237717, 950815, 2139305, 3803187, 5942461, 8557127, 11647185?\nAnswer: 15212635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3635921?\nAnswer: 41, 88681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1305, -2654, -4029, -5412, -6785?\n\"Answer: 3*t**3 - 31*t**2 - 1277*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/12). Let m(t) = -1 + 3*t**2 + t**2 - 3*t**2 + 2*t + 0*t. What is the units digit of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.02 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:40 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**2\/2 - x + 1. Let o be p(3). Suppose 0 = 4*b - 6*b + o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 27*u - 3. Let h be s(3). Suppose 5*j - 42 - h = 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: Let d = -172142 + 25476921\/148. What is the common denominator of d and -27\/22?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -0.9. What is the second biggest value in -3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 6*u**2 + 2\/3*u**3 + 10*u - 115. Suppose i(d) = 0. What is d?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a8996 + 1b?\nAnswer: 4a89b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -281*q**3 + 6*q**2 + 3*q - 1. Let w be b(-2). Let l = 3194 - w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -1, -10 in decreasing order.\nAnswer: 1, -1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-4)*(3\/36)\/((-1)\/(-4))*-4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 16, -3*u = -2*t + u - 88. Let n = t - -60. Suppose 2*r - n = -2*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, 10, -2, 69?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13585 and 1140?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 3*t + 217. Let s(r) = -4*r - 8. Let y be s(-2). What is the units digit of c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135 is divided by 1288?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2262 and 884?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6316036.\nAnswer: 2, 1579009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(156\/91) - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 83859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18.3, 2\/15, 0, -53?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3\/6 + 50*w**2 - 5000*w - 526. Factor u(y).\nAnswer: -(y - 100)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3858, -3815, -3744, -3645, -3518, -3363?\n\"Answer: 14*m**2 + m - 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1236 divide 17743431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 971032 or -2\/5?\nAnswer: 971032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 298*q + 308. Is g(67) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -2*g. Let k = g - 1. Suppose -k*h + 5*c + 80 = -2*h, -5*h + 2*c + 127 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -36148*i**2. Let u(d) = -d**2. Calculate u(q(y)).\nAnswer: -1306677904*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -1 (b) 0.092 (c) -14 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6. Let a be 4*(0 + 3 + -2). Solve -b = 2*z + 4, a*b + 2*z - 7 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 356929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -6778\nAnswer: -271.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.7 - -30.5. Is u less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473218, -473210, -473202, -473194?\nAnswer: -473186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from lyyllyllllylyllpl?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0. Calculate the least common multiple of 23 - (c + -2)\/(-3) and (24\/(-22))\/(34\/(-561)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 10.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 10. Let q be h(-9). Is 2609*q*1*(-14 - -13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:42 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r + 12. Solve n + 10 = 4*z - 11, 10 = 5*n + r*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 0 + 0)*(13*w + 23*w - 6*w) to the form f + o*w + a*w**2 and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240040 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 13*f - 277. Give y(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/s**(-6)))\/s*s**(1\/8)\/s)**(-11\/5))**(-7) assuming s is positive.\nAnswer: s**(-5467\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -132021?\nAnswer: -132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*z = 1229*z + 234*z + 649*z - 44604 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -70, -108, -170, -262, -390, -560, -778?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -2410125?\nAnswer: -2410214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*o + 63, 9 = o - 5*b - 10. Let y = 70 - o. Let k = 170 - y. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-48)*36\/(-104)*(-432)\/891.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-3)\/(-3))\/1. Suppose -t - 290 = -3*s, s - o*t + 412 = 5*s. Suppose -2*l - s = -3*l + 2*v, -l = 4*v - 86. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2960252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1.3, -2\/5, -0.2, 1 in descending order.\nAnswer: 1.3, 1, 0.3, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56745.37 millennia in months?\nAnswer: 680944440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let c be b(-2). Suppose -4 = c*d + 6. Which is smaller: -6 or d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 7*h - 61, 10*h = 6*h - 2*l + 38. Let v = 19 - 12. Suppose 0 = u + 3 - v. Solve h = -r - u*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*y + 2*y**3 + 177*y - 19*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 - 519 = -7*d. Let q = 335 - d. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + 616?\nAnswer: 58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 11*r**2 + 82*r + 912. What is m(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13f5b (base 16) to base 14.\nAnswer: 21b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43281083?\nAnswer: 37, 1169759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 53 = 5*q - 5*a, 4*q + 5*a + 16 = 0. Let z(c) = -9*c - 4 + 8*c**2 + c**3 - 4 + 3. What is z(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(153)) - (sqrt(187)\/(sqrt(11)*-2) - -2*sqrt(272)))**2.\nAnswer: -21*sqrt(17) + 7501\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5\/5 - 3884*r**4\/5 + 19184*r**3\/5 + 26320*r**2 - 215616*r\/5 - 741888\/5 = 0. What is r?\nAnswer: -4, -2, 3, 8, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**3)*v*v*v**6)**(-2\/147) assuming v is positive.\nAnswer: v**(-22\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9610046.7 to the nearest ten thousand.\nAnswer: -9610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 3*y**2. Let f be j(-3). Is -2 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69.99 - -97.99. Which is the second biggest value? (a) 4 (b) 3 (c) t (d) 1\/8 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22 and -41\/2440.\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11575\/2668 + -6674359\/373520. Let t = 257\/35 + h. Find the common denominator of t and -19\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*j + 670*j - 36 = -99 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 5}. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3 + 3*t**2 + 2 - 5. Let k(z) = z**2 - 1. What is j(v) - 6*k(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/6*-12*44\/66.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**(3\/4)*w))*w*w**(-2\/23)*(w\/w**(-4))\/(w*w**5*w) assuming w is positive.\nAnswer: w**(61\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010428346 to six decimal places.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156091?\nAnswer: 13, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 1. Let j(n) be the first derivative of -7*n**3\/3 - n - 1786. What is j(f) + 4*v(f)?\nAnswer: -3*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from xmxxmix.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 126641600 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3164583?\nAnswer: 3, 19, 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/1224 and 35\/5304.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77914550?\nAnswer: 2, 5, 7, 222613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 12*p**3 - 6*p**3 + 3*p**3 - 8*p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-97)\/11 + (-26)\/143. Let t = u + 5. Sort t, 5, -3.\nAnswer: t, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 92708.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2*d + 1. Let c be b(1). Let i = 15.5 + -16. Let f = -17\/30 - -46\/15. What is the nearest to c in f, 2\/15, i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 3*a - 3 + 2*a**2 + 0*a - a**2 + 3*a**2. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let r(x) be the first derivative of -5 + 0*x - 11\/2*x**2. Give r(h(j)).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -83531 (base 10) in base 8?\nAnswer: -243113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666509 (base 10) in base 14?\nAnswer: 315485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.1, 31, 2\/13, -466, -3\/7, -2\/5, 3\/4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/6 - 3*a**2 - a. Let t be m(-8). Solve -2 + 8 = t*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = q - 0, 0 = 3*q. Let s(i) = 113*i + 2 - 116*i - 2 + 2. Calculate s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928433982.\nAnswer: 2, 3, 7, 163, 135617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 143*d**2 - 123*d - 3025. Calculate f(144).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -3. Let i be 0 - (-2)\/(2\/41). Suppose -5*k = 3*s - i, 3*s = k - s - 22. What is the greatest common factor of k and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -3, 0.4, 3\/7, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/72 and -46\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 6*f - 3*f - 8*f - 3 + 2 + 0 - 7*f - 9 + 9 + 1 - 1 - 2*f + (-6*f + 2*f + 2*f)*(1 - 2 + 3) - f + 2*f - 3*f + 3*f - 5*f + f.\nAnswer: -25*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -67. What is the smallest value in u, 2\/11, 1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.67 * -26\nAnswer: -277.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60829.\nAnswer: 59, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i - 125. Let p be h(-7). Let r = 1 + -2. Sort p, r, 3 in decreasing order.\nAnswer: 3, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = 2*i, 0 = -2*a + 2*i + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 146\/18*(65\/20 + -4) and -9\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*s**3*z + 2*k*s**3 - 374*k*s*z + 255*s**3*z - z wrt k?\nAnswer: -2*s**3*z + 2*s**3 - 374*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 31. Let t be f(15). Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162 divided by 263146?\nAnswer: -581\/131573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -777 + 776.6. Let r be (-94)\/18 + 8\/36. Let y = 2.4 + -0.4. What is the closest to 2\/7 in r, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*b - 2*w, -1965*w - 15 = -4*b - 1966*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 56\/5 (c) -1\/34 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/7)\/((y\/(y*y\/(y\/y**(-14))))\/y*y)*((y*y**(-1))\/y)**33)**(-6\/13) assuming y is positive.\nAnswer: y**(1944\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 3709945282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8005474 and 590?\nAnswer: 40027370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1 - 4*w + 2*w + 6. Let m = -180 + 190. What is the lowest common multiple of m and j(-14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44\/5 of a millisecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by -4 + (-5 - (-155)\/20)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1095\/7033 + 1\/541. Let y = -5 + 9. Let z be 2\/12 - (-4)\/12. Which is the third smallest value? (a) z (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/27? (a) -0.406 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 25018?\nAnswer: 25018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5*30\/(-450)*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 divided by -180?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 861283177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from szsssssssjjsz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 49\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*v + 367*v - 187*v.\nAnswer: 673*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*j - 99, -4*j + 4 - 16 = 0. Suppose 21*i - 14*i = l. Solve i*k + 4*g - 4 = 0, -25 = 3*k - 5*g + g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -15. Let i = s + 7. Let y(v) = 5*v - 3. Calculate y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -108. Let c be (-36)\/(-21)*k\/2. Is 11 a factor of c\/5 - 1\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8 + (27 - (0 + 14 + -13)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*u - 2, 0 = 5*q - q - 5*u + 8. Let l(x) = 3*x**2 + 2*x - 1. Let g be l(q). Solve -3*v = -g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 4.19\nAnswer: -20.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1d9?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - 4*y + 3. Let m(i) = -3*i**2 + i + 5. Let t be m(2). Give v(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-4400833.\nAnswer: 2200416.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/4, 0.1, -0.2, -0.06 in descending order.\nAnswer: 0.1, -0.06, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 + 22 - 20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*x + 758, 0*h + x + 466 = 3*h. Suppose -14*d = -673 + 604 - 323. Calculate the smallest common multiple of h and d.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511895.8800001 - -511896. Let f = -1.7 + 1.82. Let l = f - m. Round l to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or 0.02?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (26 + 32 - 28 - 108).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*k + 295, 0 = -3*s - 13*k + 8*k - 885. Let n = s + 583. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 129*t - 2482. Let f be s(-17). Let g(k) be the third derivative of -1\/42*k**4 - 1\/210*k**5 - 2*k**2 + 0 + 0*k**3 + f*k. Factor g(v).\nAnswer: -2*v*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45, 197, 449, 801, 1253, 1805, 2457?\n\"Answer: 50*k**2 + 2*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1168\/45 - -132\/5. Let m be ((-30)\/9)\/(1 - 4). Let w = m - f. What is the third smallest value in w, -3, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33840 + 84275?\nAnswer: 128225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4629.596 decades to millennia.\nAnswer: 46.29596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827 is divided by 77?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603837 divided by -1?\nAnswer: 2603837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 + 52*o**2 - 250*o + 200 = 0.\nAnswer: 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 4:32 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 - 470 = -224*g - 91*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 2. Suppose x*b - 42 = 6. Suppose -15*h + b*h = 129. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0111 + 0.2979. Let y = v + -0.009. Sort 0.2, -1, y, -0.26 in descending order.\nAnswer: y, 0.2, -0.26, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18584954933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 1 + -1*6 + 2. Suppose 5*f = 5*b + 20, -5*f - 2*b - 5 = x. Put 2, f, 9 in increasing order.\nAnswer: f, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 32299.\nAnswer: -7\/32299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512 and 1176?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 9*n + 20. Let v be n*((-436)\/(-10) - -1). Suppose -5*b = v - 8. Which is bigger: b or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 813312212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -382 (c) -1\/3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -0.04 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16813 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -6141, 4.\nAnswer: -6141, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)\/g)\/(g*g**18))\/((g\/(g\/g**(-2)))\/g**(-13)) assuming g is positive.\nAnswer: g**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0684 times -0.2?\nAnswer: -0.01368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65955954, -131911906, -197867858?\n\"Answer: -65955952*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/7)*z**(-9\/2))**(-5)*(z\/(z**(-2\/3)\/z)*z**(3\/5))\/((z*z**(3\/7)*z)\/z*z**(-8)\/z) assuming z is positive.\nAnswer: z**(893\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 + -86. Suppose 2*d + 14 = w. Suppose 0*f + 2*f = 120. Calculate the highest common factor of f and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1066 by -5.\nAnswer: 1066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 18. Let m(j) = 6 - g*j - 1 + j**2 + 0. Let y be m(6). Solve -p + 3*q = -2*p + y, 0 = -2*p - 2*q + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 4)*(4*m + 7*m - 16*m + (2 - 2 - 2)*(7*m - 12*m - m) + 2*m + 0 + 0) to the form o + b*m and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 30319 (c) -0.14 (d) -8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/474 and -25\/18?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 4*c - 4. Let x be y(5). Let b = x - -23. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2845927?\nAnswer: 2845927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:52 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24233460 divided by 6058365?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (18 - (19 + 4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4131100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6e4 + -6c?\nAnswer: d677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 461 + -446. Calculate the remainder when 148 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**5))\/(p**6\/p)*(p**(-2))**(-4\/13) assuming p is positive.\nAnswer: p**(-122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -294, -1437, -3342, -6009?\n\"Answer: -381*q**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from blblbblblblllblbllb.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 8. Let s(i) = -15*i - 17. Let p(d) = -9*k(d) - 4*s(d). Let n be p(4). Let m = 17 + n. Put -2\/15, m, -0.3 in ascending order.\nAnswer: -0.3, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 815746 at most as big as 815749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -887560, -3550174, -7987844, -14200570?\n\"Answer: -887528*m**2 - 30*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79\/308 - 1\/154. Which is bigger: w or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 389356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 0.6 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -13. Suppose -5*g = 3*w + 19 + 6, -s*w - 3*g - 15 = 0. Solve w = 3*x + 2*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1404530 + -5452?\nAnswer: 1355034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 75*i - 171*i + 88*i - 49. Let p be b(-6). Put 5, p, -45 in decreasing order.\nAnswer: 5, p, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) 5\/3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -2864.107.\nAnswer: -1432.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 - 6 = 0. Which is smaller: x or -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, t: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 87*w**3 - 2*w - 99*w**3 + w**2 + 2 + 4*w - 3*w. Let j(d) = -26*d**3 + 3*d**2 - 3*d + 5. Let m(u) = -7*h(u) + 3*j(u). What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -110*b + 223*b - 114*b. Let j(s) = -19*s. Determine j(m(z)).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14320028941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3784*x - 34805. Calculate d(-9).\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.165933 - 0.166. Round n to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n + 120. Let r be k(18). Put 5, 0, r in descending order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2240 = 5*r. What is r rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/9 smaller than -1441889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 1, o: 2, s: 2, a: 5, x: 1}. What is prob of sequence xo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6116 - -15970. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 93*t**3 - 16*t**2 - 62*t**3 + 28 - 3*t - 30*t**3. Calculate d(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 6. What is the least common multiple of 10 and r(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 139 - 1?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645)*-2 - sqrt(45) - sqrt(45))*-6)**2*-4.\nAnswer: -2592000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*z - 48 = 3*k, -z - 153 = -5*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14415311 (base 6) in base 12?\nAnswer: -201537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 23. Let r be h(6). Let m = 6 + -8. Let i be (-2)\/(-6) + m\/(-6). Sort i, -0.3, r in decreasing order.\nAnswer: r, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + (-1 - -1) - (60 + -53)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2243*i**2 + 2242*i**2 + 31*i - 31*i - 4918*i**3.\nAnswer: -4918*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50\/(-100))\/(0 - (-1)\/(-4954)). Suppose 41 + j = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/112, -0.19 in decreasing order.\nAnswer: 1\/112, -0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1099 - -1089. Let a(h) = h**2 + 12*h + 13. Give a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923687258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 39957\nAnswer: -8\/39957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19444152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -112, -114?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/75796 and 81\/6664.\nAnswer: 18039448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-54)*708\/(-16)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 72769 and 3.1809.\nAnswer: 72772.1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:30 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 10. Let o be u(-5). Suppose o = -l + 255 - 27. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let g be b(1). Let u(r) = g + r + 4 - 2. What are the prime factors of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 866691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 369 + -371. Suppose 0 = 5*y - 3*y + 6. Suppose 4*u - 20 = 4*g, 3*u - 4 + 1 = -g. Sort c, y, u in descending order.\nAnswer: u, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/6 + 47*r**2\/2 - r. Let w be s(0). Let m = 189\/4 - w. Which is the closest to m? (a) -0.4 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176937 is divided by 88467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*v + 3 - 25, 0 = -3*v + 12. Let k be (-3 + b)*344\/12. Find the common denominator of 10\/11 and (-20)\/(-30)*k\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/46734 and -41\/22.\nAnswer: 514074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-172)\/29 - (-18)\/(-261). Let i(o) = 19 + 10*o**2 + o**3 - 3*o**2 + o + 7*o. Let f be i(g). Solve -3*h - f = -2*l, 4*h - l + 11 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65342 (base 11) to base 16.\nAnswer: 172be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+-21333191\nAnswer: -21333192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(119) - -1*sqrt(119))\/sqrt(7))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/679374 and -5\/1762434?\nAnswer: 121607946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(255)\/sqrt(5))\/(sqrt(12)*-4))**2.\nAnswer: 5*sqrt(17)\/4 + 1617\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8709 = -2*u + 42*b - 37*b, -u + 4*b = -4359. Is u a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 68 = 6*a. Suppose -a*f - 77 = -9. Let m = 0.35 - 0.05. What is the third smallest value in 3, f, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551182032 and 42672.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 2943*o - 29155. Give q(-10).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0*p**2 - 7\/5*p**5 - 155*p + 8\/15*p**6 + 0 + 2\/3*p**3 + 2\/3*p**4. Factor b(g).\nAnswer: 4*g*(g - 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5419104 rounded to 3 decimal places?\nAnswer: -0.542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 2*r)*(366 + 2373 + 355).\nAnswer: -3094*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 3. Let t = z + 0.21. Let r = -0.024 + -0.276. What is the closest to t in 4, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 6. Let w(a) = -a + 1. Calculate i(x) - 4*w(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 4*m**2 + 1.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 + 394 = -2*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1091563 divided by -11\nAnswer: -99233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 32a0?\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*x + 6 + 0 = 0, -4*x = -k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00795861 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.4. Let f = h + -0.2. Let t = -0.4 - f. What is the second smallest value in 6\/7, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:56 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.1.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8592982 is divided by 296304.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(30)\/(3*sqrt(10)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(-4 + sqrt(5)*-2))**2 + -5 + (sqrt(6655) + 1*sqrt(6655))\/(sqrt(11) + (sqrt(704) - sqrt(704)*-3) + sqrt(704) - sqrt(11)).\nAnswer: 103691*sqrt(5)\/20 + 11659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n - 5979 = -3*y, 3*y = -5*n + 5995. Calculate the remainder when y is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c**3 - 2*c**2 - 2*c - 2. Let p(n) = 39*n**3 + 7*n**2 + 7*n + 7. Calculate 2*p(w) + 7*u(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(2\/3))**(-23)*(h*h\/h**7*h\/h**(-3))\/(h**(-1\/4))**(-4\/7) assuming h is positive.\nAnswer: h**(620\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211294 and 373172.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, -31, -83, -149, -229, -323, -431?\n\"Answer: -7*s**2 - 17*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136\/5 + 1\/5*q**2 + 66\/5*q = 0.\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d**3 - 282*d**2 - 3687 with respect to d.\nAnswer: -21*d**2 - 564*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 156757.477?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 + 2110875*b**4 + 297052884355*b**3 + 13934255709447125*b**2 - 1188211537500*b - 55737022871562500 = 0. Calculate b.\nAnswer: -140725, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by 10\nAnswer: -304\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 1. Let o(r) = 3*r + 33. Let p be o(-9). Calculate w(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42 + 43*o - 5*o - 42 - 33*o**4 wrt o?\nAnswer: -396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-1386)\/1388 - 2\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(42\/(-28637))*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -739*v**6\/120 - 115*v**4\/12 - 296*v**2. Find the second derivative of p(y) wrt y.\nAnswer: -4434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 0.4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -589*v**2 + 18*v + 3. Let p(r) = 304*r. Calculate b(p(s)).\nAnswer: -54433024*s**2 + 5472*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*p = -330*p - 87143. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-10) - 2\/5. Let a(x) = x**3 - 2*x + 3. Let r be a(3). Suppose -p - y*p = -r. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35650 and -134?\nAnswer: 35516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppwpppwppppppppppp. Give prob of sequence pw.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 254*j - 184*j. Suppose -12 = 5*a - 2. What is the tens digit of -4 - (j + a - 81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 - 250*s**3 + 485*s**2 - 240*s = 0. What is s?\nAnswer: 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 + 13*x**3\/6 + x**2 + 6*x. Let b be 1 + 1 - -5*2. What is the units digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151617607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let t be 21\/(-6) + j\/(-2). Let c = t + 13. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76414 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: Let r(z) = -z - 30. Let t(y) = -20*y - 8. Let k be t(-7). Suppose 16*b - 38*b = k. Let u(d) = -6. What is b*r(g) + 30*u(g)?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 5*z)*(-2 - 1 + 4)*(1 + 2 - 1).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + 2.1. Let q = 0.1 - 0.4. Let c = -1.3 - q. What is the second smallest value in l, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g. Let j be (-69 - -74) + 1*-3. Let b(x) be the third derivative of -1\/30*x**5 + 0 + 0*x**4 + x**j + 0*x**3 + 0*x. Determine w(b(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 759 + -5317\/7. Put 0.5, 0, n in decreasing order.\nAnswer: 0.5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -0.2 (c) 19 (d) 1251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + 5*l**4 - 5*l**4 + (5*l - 4*l - 2*l)*(-2*l**2 + 2*l**3 + 2*l**2) + 5*l**4 + 39*l - 39*l - 3*l**4 + l**4 + 3*l**4.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/117 > 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 124178 - 59741 = 108923. Calculate the greatest common factor of l and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 5. Let i(h) = -4*h - 4. Let a(p) = -2*i(p) - 3*o(p). Let u(k) = k + 8. Determine -6*a(q) - 5*u(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odoo when four letters picked without replacement from {o: 6, j: 2, d: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 0, -d = -w + 22. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*x - x + 1 = 0, 2*o + 18 = 5*x. Is o > 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*-2*3. Suppose 0 = -t + 3 - 1. Suppose -t = -2*a + 4. Sort -2, v, a.\nAnswer: -2, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009414705 rounded to 6 dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5752751.84403 minus -4?\nAnswer: -5752747.84403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1692.3056 to 0 decimal places.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 = 5*f + 3*h, -4*h - 78 = -3*f + 624. Round f to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13436459 != -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/(-276))\/(((-9)\/(-4))\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 27*w**2 - 26*w + 22. Let s be g(-26). Is s less than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/4 - y**3 + 3*y**2\/2 - 5*y. Factor l(h).\nAnswer: 3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let z be a(-8). Let d be (z\/4)\/((-1)\/2). Suppose 8*w - 3 = 5*w. What is the greatest common divisor of w and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**3 - 6240*a**2 + 1010620*a - 5840160 = 0.\nAnswer: 6, 184, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 1 + q**3 - 12 + 13*q**2 + 3*q**2 + 13*q. Let b be o(-14). Factor -8*u**4 + 24*u + 6*u**b - 12*u + 21*u**2 + 5*u**4.\nAnswer: -3*u*(u - 4)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.017 >= -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64341, -64387, -64407, -64401?\n\"Answer: 13*m**2 - 85*m - 64269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1034 - -3?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 515211988 a multiple of 2579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5145, 128\/51 in descending order.\nAnswer: 5145, 128\/51, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14004.04 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + y - 15, 23*m - 3*y = 19*m - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 + 11*t + 5. Let s be f(-4). Let q = s - -33\/5. Which is the nearest to 2? (a) -1\/5 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 4195 = -5*r, -w - 2*r + 838 = 0. Suppose -8*i + 3*i + w = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 5519 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133753 + -3026836.6.\nAnswer: -2893083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o. Let i(y) = -30530645*y - 1. What is i(x(a))?\nAnswer: 366367740*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 21 + -8 + 1 + (0 - -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.08 - -2.48. Let l = -0.09 + 0.1. Let b = l + 1.99. What is the second biggest value in -3, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -d, d = -2*r - 10 - 4. Put d, -2, 6, 1 in descending order.\nAnswer: 6, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -64, -83, -90, -79?\n\"Answer: q**3 - 3*q**2 - 23*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*3\/3*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 54. Suppose 5*u = 2*j - h, -7 = 3*j - 6*j - u. Factor -10*n + 2*n**2 + 2 + 13*n**2 - 6*n**j - n**2.\nAnswer: -2*(n - 1)**2*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 1. Let t(g) = g**3 + 2*g**2 - 5*g - 5. Let i be t(-3). Let x(q) = 3*q**2 - 3*q + 6. Let s(l) = i*x(l) + 2*f(l). What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3657692 divided by 5\nAnswer: -3657692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4492112 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, j: 2, c: 2, a: 1, h: 1}. Give prob of sequence scpc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -87615 + 753*q + 87615 as h*q + s and give h.\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*i - 2*b, -15*b - 114 = 9*i - 19*b - 103 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203926.\nAnswer: 2, 101963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -4\/15, -1.616, -0.5 in increasing order.\nAnswer: -1.616, -0.5, -4\/15, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*u + 648 + 383 + 1231 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57785754 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6322631056\/165 + -191448002\/5. Let t = -29378 + z. Let k = -128798\/15 + 8592. What is the common denominator of t and k?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*q - 669111*k*u**3 + 28*k*u**2 + k*u - 5*q*u**3 + 25*q*u + 2*q - 128*u**2 wrt u.\nAnswer: -4014666*k - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 390 - 1730. Suppose -4*z + d = -0*z - 2*f, 5*z - 2644 = f. Suppose z = 2*u + 4*u. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1303.15ng?\nAnswer: 1.30315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -196*q - 11004. Calculate the remainder when d(-59) is divided by 119.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -760 + 841 + 2 + 4 + -2?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 45 = -s - 3, -2*n + 4 = 0. Suppose -4*m + 142 + s = 0. Suppose 3*y + 5*c - m = 5, 0 = 3*y - 5*c - 13. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.061. Let q = d + -0.681. What is q rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:00 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (6 - (-3 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q = -4*k + 37*q + 146, -2*q + 110 = 3*k. Let a(s) be the second derivative of s**3\/3 - s**2\/2 - s. What is the lowest common multiple of a(1) and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 2*f - 10. Let i be v(2). Suppose -54*u - i = -60*u. Let m = -1\/57 - 109\/285. Which is the closest to -3? (a) m (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812591?\nAnswer: 13, 62507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2750 and 900.\nAnswer: 49500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 1711.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445 a factor of 5138107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -2 (b) 5 (c) -15 (d) 21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:46 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -59582.676 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 69*i**2 - 7*i + 124. Determine g(69).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {d: 1, h: 6, q: 1, m: 5, s: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*q**2 - 259*q**2 - 256*q**2 + 39 + (-2*q - 2 + 2)*(2*q - 2 + 2) + q - q + 2*q**2 as c*q**2 + b + n*q and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 84 - 7*s + 26 + 25.\nAnswer: -7*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*k + 12, 4*h = h. Factor 1\/7*y**k + 1701*y - 27*y**2 - 35721.\nAnswer: (y - 63)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -38*o + 1218. What is c(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 4*g**2 - 4*g - 4. Let u be m(-4). Let t = 9 - u. Suppose -2*i = -t - 1. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117 - 7 - 76 - 4 - 2 + 4 + (0 + 2 - 1)*(-2 + 2 - 2) + 2 + 1 - 2)*(-1 + 1 - 2*m) to g*m + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 572305570 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.3 + -29. Sort -2, -4\/7, p in decreasing order.\nAnswer: p, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 46*h + 5. Let u(d) = -138*d - 14. Let k(m) = 14*t(m) + 5*u(m). Let n(o) = -2*o. What is k(n(s))?\nAnswer: 92*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 136*c**2 - 554*c + 13233. Determine z(-131).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - 3*a**2 + 3*a**2)*(-3 + 1 + 0)*(-4 + 4 - a)*(8 + 1 - 4) to n + g*a**3 + y*a**2 + h*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*l**3*m**3 - 2841*l**3*m**2 - 4*l**2*m**2 + 21*l**2*m + 17*l*m**3 - 17*m wrt l?\nAnswer: 564*m**3 - 17046*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -11012?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**2 - 60 + 60 in the form o*b + i + x*b**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1087190\nAnswer: -2\/543595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050963 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -13)\/((-4)\/(-22)). Suppose -4*z = -z - 24. What is the greatest common divisor of z and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**6\/5 + 8*y**5\/5 + 29*y**4\/6 + 20*y**3\/3 + 4*y**2 - 22*y. Factor b(t).\nAnswer: 2*(t + 1)*(t + 2)**2*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/z**(-5))**(-47)*(z**1*z)**23*z**(-1)*z**(-2) assuming z is positive.\nAnswer: z**(-482\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/8*(55\/(-10))\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27520\/384)\/215 + 92\/3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**3 - 180 + 3*l**3 + 182.\nAnswer: 25*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193786000 rounded to the nearest one million?\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*f - 109 = 965*f - 469*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1444070, -2888221, -4332372, -5776523, -7220674?\n\"Answer: -1444151*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122054 (base 8) to base 13.\nAnswer: 1618c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30744 and 955626.\nAnswer: 11467512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6713332l in millilitres?\nAnswer: 671.3332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2056 - 675. Sort d, 3, -5 in ascending order.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-0.4\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/8 - -7 - (-2)\/(72\/(-243))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*l = 20661 - 2366, 27448 = 3*c + 2*l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -10 + -4 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*b**3 + 2 - 2.\nAnswer: -703*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**2 + 20*o - 23. Let r be -2 - -3 - (20 + -2). Let z = 20 - 16. Let c(x) = 7*x - 3 + z - 4*x**2 - 9. Calculate r*c(s) + 6*b(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108 + -2.108. Which is the closest to -2? (a) i (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 143\/(-52) + (1 + -2 - -4). Which is the third smallest value? (a) 2\/17 (b) -2 (c) t (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 1 + 4. Let g(t) = -8*t**2 - t. Determine g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1395\/105)\/(-31))\/((-36)\/(-4872)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15830930 is divided by 5801.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152552715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 165 - 40 + 205.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 12, 217\/4, -9\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6))\/(33\/198). What is the third derivative of 55*p**3 + p + 30*p**3 - 63*p**2 + r*p**2 wrt p?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 19, 0 in increasing order.\nAnswer: 0, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t**(1\/4)))\/t*t)**(-1\/40)\/((t*t**2)\/t)**4 assuming t is positive.\nAnswer: t**(-1283\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -78*b - 1893. Let f be m(-25). What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*g + 133*g + 107*g - 367*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 (base 14) in base 9?\nAnswer: -1844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.04 + -3.94. Let p(t) = t**3 + t**2 - 5*t + 3. Let f be p(-3). Which is the biggest value? (a) q (b) f (c) -4 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**2 + 81*a - 276 = 0?\nAnswer: 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3338, 7090, 11674, 17504, 24994, 34558, 46610, 61564?\n\"Answer: 69*u**3 + 2*u**2 + 3263*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 105*b + 2147. Determine d(-25).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d + 1. Let w be x(-1). Is 2 + -1 + w - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-851)\/(-207)*6)\/(16\/(-72)))\/3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0, 1, -4, -3 in descending order.\nAnswer: 1, 0, -3, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:20 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 32. Which is the closest to -2? (a) 2\/37 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(0*t - 2*t + 0*t)*(2*t - 4*t + 0*t - 2 + 2*t + 2 + (-t - 3 + 3)*(-1 + 0 + 0) + 2*t + 3*t - 8*t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 8, w: 8}. What is prob of sequence gw?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*v - 35, 5*v - 104 = -5*w - 29. Let x(o) = -o + 4. Let l be x(0). Suppose -l = -2*y - 0. Solve -3*t - 4*h + y*h = 16, 3*h - w = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -131. Suppose 226 = -x*l + 246. Solve 4*j + 3*o = 2, -2*o + 5 = 3*j + l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 30*a**2 - 21*a + 23. Let z be i(16). Is z at least as big as 200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/63 and -47\/245448?\nAnswer: 245448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 154*n**3 - 3 + 53*n**3 + 105*n**3. Let y(l) = -l**3 + l**2 + l - 4. Let b be y(0). Let m(s) = 4*s**3 + 2*s - 2. What is b*u(v) + 6*m(v)?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0 + 0*x**3 + x**3 + 11*x**2 - 2*x - 1 + 2. What are the prime factors of p(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 961 divide 1424582499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -22*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 4*k + 3. What is o(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/(-11))\/((-1)\/6430). What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -3, 0 in ascending order.\nAnswer: -3, 0, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19381 by -4.\nAnswer: 19381\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*o**2 - 22*o**2 + 10*o**2 + (4 - 4 - 4*o)*(0*o + 2*o - 5*o) - 3 - 2*o**2 + 20*o + 3 to a + h*o**2 + d*o and give h.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68980 + 234.5.\nAnswer: -68745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 8*s = 27 + 53. Solve -17*l + 6 = -13*l - 2*a, 5*a = s*l + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/452531648 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(9\/2))\/(28\/(-84))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -14, -25, -42?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 169*o = -164*o - 11, 9 = -2*b + 5*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/3 - 1\/3. Let x = 45.62 + -46. Let t = x + -0.02. What is the nearest to m in t, 3, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124342934?\nAnswer: 2, 929, 66923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 383543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8373.3 from 0.01.\nAnswer: -8373.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*m + 15 = 0, 0*m + 5 = 5*q - m. Suppose 2*x - 3*h = -0*x + 76, q = -x - 3*h + 20. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*(15428\/(-57))\/(-29)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 54917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -67aa65 (base 16) in base 5?\nAnswer: -3214400304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 523 - 507. What is the highest common factor of 176 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 6. Let w = -0.23 - -0.2. Let j = w - -2.03. Put u, j, 1 in descending order.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15210?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1. Let c(l) = l**3 + 5. Suppose -g + 4*t = 27, 4*g + t = 4*t - 69. Give g*n(v) - 3*c(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - b - 4 + 4)*(-22*b**2 + 59*b**2 + 21*b**2 + (b**2 + 2*b - 2*b)*(-3 + 3 + 2) - 3*b**2 - b**2 + 6*b**2).\nAnswer: -62*b**3 + 62*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.5. Let l = -38.9507 - -38.9407. Which is the fourth smallest value? (a) 2 (b) s (c) -0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.04, 0.1, 4, 2\/15, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/24 - 2\/(-3))\/1. Let l(i) = -4*i**3 - 6*i**2 - 2*i + 2. Let y be l(a). Solve y*t + 2 = -4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**5\/15 + j**2 - 5. Let i(o) be the second derivative of r(o). Let d(s) = -2*s. Determine d(i(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -168594 divided by -6\nAnswer: 28099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 169031.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5140267*l**3 - 114250*l**2 - 13*l wrt l?\nAnswer: 30841602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406*j + 44 - 44.\nAnswer: -2406*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:48 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 15*x**2 + 22*x - 34. What is l(16)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 2*b - 6. Let j = 5 + 4. Let i(s) = 4 + 4*s - 9*s**2 + 9 + 13*s**2. Give j*t(z) + 4*i(z).\nAnswer: -2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5451073 + 299820787\/55. Let g = 1077\/5 - p. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87114586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53464254, 106928507, 160392760?\n\"Answer: 53464253*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t\/t**(-11))*t*t)\/(t*t**3\/t) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -0.6. Let z = -91.5 + 91. Put 5, z, l in decreasing order.\nAnswer: 5, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - b**2. Let d(q) = -q**3. What is 3*d(z) - 2*v(z)?\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5089b - -1d?\nAnswer: -5087d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)*l**(2\/9))**8)**(1\/19) assuming l is positive.\nAnswer: l**(16\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-8)*4\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 11*l. Let o(f) = f + 5. Let p be o(l). Suppose 5*h - 175 = 3*k, p*k + 0*k = 2*h - 51. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4260 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*d**2 - 82 + 82 - 59*d**2.\nAnswer: -230*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + 0\/2. Let j = 0 - -4. What is the second derivative of s*n**2 - 4*n**2 - j*n + n**2 - n wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*j - 4910089 = -44*j - 28839047. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((84\/(-9))\/(-7))\/(4\/576). Find the common denominator of 79\/40 and (-111)\/m - 3\/4*-1.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27 - (-4 - 1 - -2). Let k be (5 + (0 - -1))*j. Let m(h) = h + 20. Let t be m(0). What is the highest common factor of k and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/4 + n - 5. Let v(z) = -z. Determine v(t(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.2094053 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae080 - -3?\nAnswer: -ae07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8641*m + 8637*m + 13*m**2 + 3 - 13 - 2*m**3. Calculate b(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -56\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2 + -9 - 27795\/(-5559)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - k - 913, -3*k = -5*o - 0*k - 2277. Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 202.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 310*d. Let c(s) = s**2. Determine -a(k) + 4*c(k).\nAnswer: -k**2 - 310*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:59 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s**(-3)*(s**(-2\/3)*s)**(-32))\/(((s**6\/s)\/s)\/s*s**(-2\/3)*s)**(-1\/77) assuming s is positive.\nAnswer: s**(-1511\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d - 1. Let o(r) = r**3 - 4*r**2 + 4*r - 5. Let k be o(3). Let x(b) = 4*b**2 - 5*b + 2. What is k*p(g) - x(g)?\nAnswer: -2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008*g - 1008*g + 32*g**3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3446*a - 51749. Determine z(-15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1 + 0)*5. Let n(x) = 3*x**3 + 5*x**2 + x - 10. Let u(q) = 4*q**3 + 5*q**2 - 11. Let o(k) = f*n(k) - 4*u(k). Is 5 a factor of o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (248\/124)\/(58\/2)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50738 is divided by 25352.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(((-210)\/(-4))\/35)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2 - 1 + 6*t + 0 - t**2. Let h(z) = z**2 + 7*z - 4. Let k = -19 - -11. Let m be h(k). Determine s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/3)*g**(3\/5))\/(g**(-1\/5)\/g**(-14)) assuming g is positive.\nAnswer: g**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 17 = -0. Let i(s) = -s**2 - 17*s + 2. Let l be i(t). Factor -2\/5 - 2\/5*c**l + 4\/5*c.\nAnswer: -2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1199, 4715, 10575, 18779, 29327, 42219?\n\"Answer: 1172*z**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*m - 3 = 0, 4*o = -m - 13 + 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 - 51*g - 6. Let t be w(-10). Solve -4*z + 35 = 23, z = -t*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4902379606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28415 = -4*a - y, 0*a + 3*y - 14215 = -2*a. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-1)\/(-1) - 2). Suppose -9 = -2*j + c, -j + 4*c - y*c + 4 = 0. Let n = -117 + 119. Solve -j*x + 22 = n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-5 - -1 - 200\/(-45)). Let k = -172\/99 - x. Put 2, 0, k, 3\/8 in descending order.\nAnswer: 2, 3\/8, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592828 divided by 120.\nAnswer: 148207\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36.6 + -113155654993\nAnswer: -113155655029.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 2*p + 5. Let s(h) = -h + 3. Suppose -y = 0, 9 = 2*d + 2*y - 1. Suppose 2*n - 3 = -9. Let q(u) = d*s(u) + n*l(u). Solve q(t) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - -32 - (-84)\/(6 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22351*-2456\nAnswer: -54894056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 + 2*j + 7. Let g be r(5). Suppose -5*c + 24 = -4*f, -f + g = 4*c - 2*f. Solve -2*i + 33 = -4*d + 3*i, c*i = -d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -88. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*x**2 + 40*x**2 - 106*x**2 + 39*x**2 to the form d*x + r*x**2 + t and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 7*j**2 - 3*j - 4. Determine o(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 + 3*w**5\/20 + 11*w**4\/24 + 2*w**3 + 3*w**2 + 23*w. What is the remainder when 212 is divided by y(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {r: 8, c: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y - 12732 = -14440 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52*(-34)\/(-4))\/((-10)\/(-15)). What is the third derivative of 662*a**2 + a - 2*a**5 + 7*a - c*a**2 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6159086527 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 18291115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -176678868 and -341.\nAnswer: -176679209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*((-3)\/(-6))\/(6\/(-4)). List the prime factors of -94*(10\/(-2) - (-2)\/f).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 6*q. Suppose j = -3*l - 2, 0 = j - 6*j + 2*l - 10. Let p be 30\/9 - j\/3. Give r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/767 - (-80)\/182.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l. Let p(u) = -2*u**2. Let s(v) = -3*v + 1. Let x be s(5). Let i(j) = -6*j**2. Let g(z) = x*p(z) + 5*i(z). Determine g(w(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 11:51 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 20. Let s(q) be the first derivative of b - 3*q - 1\/3*q**3 + 0*q**2. What is the first derivative of s(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l - 1. Suppose c + 4*k = 20, 4*c + 16 = -2*k + 96. Suppose -2*g + a - c = -9, -5*a = 5*g + 20. Let r be (-24)\/g + (-1)\/(-5). Give u(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*f - 16, -5*f + 19 = 12*a - 14*a. Solve -14 + 5 = -a*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i + 15*i + 69 + 31*i**2 - 15*i + 70 - 136.\nAnswer: 31*i**2 + 67*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-22)\/(-5) - -6. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 252 or 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-854)\/(-75030))*(-4)\/60.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*q = -141, 0 = 2*j + 4*q + q - 73. Suppose -2*g - n + j = 0, -5*g + 58 + 61 = -2*n. Find the first derivative of -22*h - g*h + 37*h + 8 wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((1 - 1) + -6). Let z(g) be the third derivative of -g**6\/40 + g**4\/24 - 7*g**3\/6 + 801*g**2 - 4*g. Let i(n) = n**3 + 1. Determine j*i(x) + z(x).\nAnswer: 2*x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/276 and -17\/232.\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.39, -2\/3, 0, 0.02, 1\/38, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((((1 + sqrt(192) + sqrt(192)*2 + sqrt(192) - sqrt(192)) + 4*(sqrt(192) + -2))*-4)**2 + 4) + -1)*5.\nAnswer: -3026325 + 250880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*h - 7 + 2 = 0, 0 = 2*j + 5*h + 6. Let a = 0 + j. What is the remainder when 27 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -10, -25, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - -3 - 2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*((-224)\/21)\/2. Calculate the greatest common divisor of d and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -2211212121?\nAnswer: -2211211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 714952 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -2*sqrt(275))\/sqrt(11) + 3*sqrt(50)\/sqrt(2))\/(-4*-2*sqrt(5) + sqrt(10)\/sqrt(2)*-5).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let p(s) = -s**2 + 7036. Let j be p(t). Suppose j = 42*x - 38*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1033 and 1.210681.\nAnswer: 1250.633473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.129 times 923\nAnswer: 119.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2332.\nAnswer: -233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2636140 equal to -2636137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27514, 27515, 27516, 27517, 27518?\n\"Answer: i + 27513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**2 + w + 1. List the prime factors of k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 3}. What is prob of picking 4 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3286 is divided by 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626\/4065*-1*150?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25437 + 25436.7. What is the closest to -13 in -12, a, 2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, 2\/89, 1\/9?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -3) + 0 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4 + 8. What is the second derivative of -18*h**u - 158*h - 149427 + 149427 wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -40*r. Let c(n) = 10*n - 16*n + 3*n. Let m(u) = 5*a(u) - 64*c(u). Let p(k) = 3*k**2. Determine p(m(i)).\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010949753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -64, 0.1, -0.1 in decreasing order.\nAnswer: 15, 0.1, -0.1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*c + t - 8, -4*c - 32 = -2213*t + 2209*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*g - 2*g. Let l(f) = -f**2 + 17*f + 6. Let b be l(g). Calculate the highest common divisor of b and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6370 - -8613. Calculate the remainder when p is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3957 + 3973. Suppose -4*m - 2*r = -2*m - 22, -m + 5*r = -35. Is w < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7111.4 times -237?\nAnswer: -1685401.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41295 divided by 142?\nAnswer: 41295\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from ryyreeye?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4327558024 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -570828, 0 in decreasing order.\nAnswer: 0, -3, -570828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r - 8 = 0. Suppose -r*u - u + 6 = 0. Suppose -u*g = -10 + 4. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y. Let w be g(1). Let j be w\/44 + (-526)\/(-11). What is the highest common divisor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.6589 and 0.4?\nAnswer: -2.26356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose -3*u = -5*u + p. Suppose 3*h = 6, -4*n + 12 = -u*n + 3*h. Solve n*c - 11 = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352733934 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 d when three letters picked without replacement from bbbbmbbdbbbbdbd.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*p*q - 8*m*q**3 + 14*m*q**2 - 1380*p*q**3 wrt m.\nAnswer: 2*p*q - 8*q**3 + 14*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582 - 3095 + v**2 - 1708 - 730 - 6*v**2.\nAnswer: -5*v**2 - 4951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-4)*544\/408*2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.289434 decades in months?\nAnswer: 394.73208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -187867006 and 0.2.\nAnswer: -187867005.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60682189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:10 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/60 + 7*i**5\/30 - 2*i**4\/3 + 10*i**3\/3 - 7*i**2 + 93*i. Determine p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + z**3 - z**3 + 2995*z - 2994*z + 2*z**2 - 4 - 3*z**4 in the form x*z + o*z**3 + h*z**2 + v + t*z**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmma when four letters picked without replacement from ammmammaamammmmmmmm.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let c(x) = -2 + 4*x**2 + 2. Determine c(t(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 3. Determine v(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104 + 1113 = -h - 4*m, 5*h + m - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 9) in base 11?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-14) + 43554\/147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 104*u - 43844 = -103*u, -109611 = -5*h + 2*u. What are the prime factors of h?\nAnswer: 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(9\/7)\/v*v)**(-9)*(v\/(v\/((v*v*v**(-9\/7))\/v)))\/v**(-2\/15) assuming v is positive.\nAnswer: v**(-2176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-2)\/k*k*k)*((k\/((k**(-4)\/k*k)\/k))\/k)\/k*k*(k\/k**(2\/7))**41*(k**(1\/3))**(-6\/17)\/(k**2\/((k\/k**(-3))\/k)) assuming k is positive.\nAnswer: k**(4304\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/471?\nAnswer: 7\/471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = 13. Let m be (-3 - -1) + 270\/75. Is a less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.08 + -2.08. Let z(f) = -f**3 - 12*f**2 - 10*f + 14. Let n be z(-11). Which is the third smallest value? (a) l (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1380 + 901. What is k rounded to the nearest ten?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 216308, 432597, 648878, 865145, 1081392?\n\"Answer: -j**3 + 2*j**2 + 216290*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f + f**2 - 1 + 9*f - 20*f + 5. Let l be b(3). Suppose 2*y = 5*r - r - 10, l*r - 28 = -4*y. What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 6*o + 141. Let w be q(8). Suppose -j - w = 5*a, -4*a - 432 = 2*j + a. Is -212 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 = -2*l, 36 = 3*l + 3*c - 0. Let r(n) = 4*n - l + 9 + 7 + 4. Let d(v) = -2*v**2. Give r(d(k)).\nAnswer: -8*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeef when four letters picked without replacement from ssssrfsffsssse?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**3 - 19*l**3 + 29*l**3 + 1637*l**2 to the form c*l**2 + o*l**3 + w*l + j and give c.\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17421133 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*k = -11, -4*s + 5 = -k - 0. Suppose -x + 3*g = -38, -6*x + s*g = -3*x - 114. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 3*l**2 + 3*l**2 + (3 - l - 3)*(2*l - 2 + 2) + 2*l**2 + 0*l**2 - l**2 + 2*l**2 - 1 + 1 - l.\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h = -93*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718460 is divided by 943?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (17 - (13 + -6) - (3 + -1 - -7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*s**2 + 7*s**2 - 2*s**2)*((s + 4*s - 6*s)*(2 + 1 - 2) + 0*s - 5*s + 7*s) to the form l*s**3 + h + x*s + n*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 - -158. Suppose -28*m + 25*m + 4*i + 128 = 0, -192 = -t*m - 4*i. Calculate the remainder when m is divided by 1\/2 - (-54)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 44 = -674. Let s be 64\/g + 14\/63. Let y = 282 - 284. Which is the third smallest value? (a) -4 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 40884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132603825 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 2. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924*f**2 + 1920*f**2 + 139*f**3 - 195*f**3 - 3840*f**2.\nAnswer: -56*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgjv when four letters picked without replacement from gvgjvjjgj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:15 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081.206 rounded to zero dps?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:41 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/((-6919)\/1998) - 59.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.645*-280\nAnswer: 740.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17057 + 8983 = 248*y for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by 14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/2 + 106089*n + 11254875921\/2 = 0.\nAnswer: -106089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1\/4 (b) 3 (c) 19 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 3. Let d = -4 - w. Let o = 40467 - 40471. Which is the nearest to d? (a) o (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 20 = -8*o, -205*k + 27 - 7 = 7*o - 201*k + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7\/3))\/j**(-5\/8)*j**(-1\/4)*j**4 assuming j is positive.\nAnswer: j**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430725151 rounded to the nearest 1000000?\nAnswer: 2431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.21524, -1\/18, 2?\nAnswer: 0.21524","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 32. Let l be ((-8)\/12*-24)\/u. Suppose l = 4*g - 4. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 748 + 14957. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 422*v - 31214. Determine z(74).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333723331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3469894328?\nAnswer: 2, 887, 488993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6083 and 15618379.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40675 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5) - (-620)\/25. Suppose 3*z - 2*z - b = 0. Suppose 0 = 2*c - 3*c + z. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y - 19. Is (-165)\/y*(-20)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 194*g**2 - 332*g - 612. Let d be n(-192). Do d and -10596 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1167312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 288 or -1.6?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489928504.\nAnswer: 2, 113, 1013, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84224 and 37376.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2\/13, -0.809, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111010110111100 (base 2) to base 10\nAnswer: 30140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1308 - (8 + -21)) + -11. What is the greatest common factor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 3. Let m be i(0). Suppose -37 - 14 = -m*c. What is the highest common divisor of c and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30731\/443 - -51651653\/770820. Let n = w - -211\/60. Find the common denominator of -5\/12 and n.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*o = -140*o + 259*o + 656. Solve 0 = 30*g - 22 + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:26 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z**2 + 58979*z - 29489*z - 29490*z + 30*z**2.\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/(3\/(-6)) - -2. Let k be (-6)\/15 - (-6)\/15. Suppose 9*h - 26 - s = k. Solve -3*w - 8 + h = 4*z, -w - 3*z - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3, 1\/6, 0.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d - 10*d + 21*d)*(-13*d**2 + 33*d**2 + 31*d**2).\nAnswer: 1734*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 106700779, 213401567, 320102355, 426803143?\n\"Answer: 106700788*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -4, 0.4, -1.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147\/4 + 37. Let w = 251.106 - 251. Let y = 0.006 - w. What is the biggest value in y, k, -15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 14*z + 103. Determine g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**2 + 17*h + 155. Let a(w) = w + 8. Determine -5*a(f) + 2*p(f).\nAnswer: -f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 16 = 0, 54*s + 223 = -4*r - 22 - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1 + 5\/5. Solve 0 = -0*b + r*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10250*t**4 + 37*t**2 - 1265 wrt t.\nAnswer: 246000*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e994 - 4d?\nAnswer: -e9e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -12. Suppose -5*m + 10 = 5*v, r*m - 2 - 6 = -v. Find the first derivative of 0*y**2 + 3 - y**2 + v wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y - 16. Let u(p) = -26*p + 32. Let w(g) = 13*c(g) + 6*u(g). Let f be 96\/20 + 20\/(-25). What is the units digit of w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -541 and 5.\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:25 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/24 + n**3 - n**2. Suppose 697 - 577 = 30*g. Let d be l(g). Solve -d = 4*r - 2*h, -3*h + 15 = -r + 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 36)*(-17)\/(-68)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:15 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:13 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y + 58*y = 106*y + 4368 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -19. Suppose -v = -w + 15. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 16 = 159 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from vtvt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11.2. Let o = m - 12.2. Sort o, 0.5, 2 in ascending order.\nAnswer: o, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - 13\/(-3). Let c be 1972\/20 - b\/(-10). Let s = 115 + -106. What is the greatest common divisor of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27198876 to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2966662 + 23768357\/8. Let o = 4392 - s. Calculate the common denominator of 131\/6 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (2 - -5) + -13)*-3. Put 7, 0, c in descending order.\nAnswer: c, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43\/2 of a micrometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 - 632020*h + 21486368 = 0.\nAnswer: 34, 315976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82147 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -3700\/21 = -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/3 + 1907*p\/3 = 0. Calculate p.\nAnswer: 0, 1907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 294998978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*u + 3*n = -128, 190749*u - 86 = 190750*u + 2*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 0.04, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295079 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 x = -371 - -656. List the prime factors of x.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 1710*i**2 - 3.\nAnswer: 1710*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rslj when four letters picked without replacement from lllsleeejslr?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(208))\/sqrt(8) + sqrt(26) + sqrt(78)\/sqrt(3)*-1)*-3)\/((-4*sqrt(72))\/(-6*sqrt(36) + sqrt(9))).\nAnswer: 33*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 - (21 - (18 + 11))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pwp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -222334810 rounded to the nearest one hundred thousand?\nAnswer: -222300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 4*o. Let f(j) = j**3 - 11*j**2 - 7*j. Let k(d) = -5*b(d) + 2*f(d). Factor k(v).\nAnswer: -3*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3 + -3)\/2. Suppose y = p - 0*p + 4. Let q = 12 - p. What is the highest common factor of q and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - 127*o**2 - 6*o. Let w(k) = 3*k**3 - 128*k**2 - 4*k. Give -2*g(l) + 3*w(l).\nAnswer: l**3 - 130*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2904 * 0.94.\nAnswer: 2729.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -106*n**2 + 20142*n - 386. Give o(190).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 8*h + 7. Let x be l(7). Let b be 0\/3*(-2)\/4. Suppose -5*u - c + b*c + 10 = 0, -28 = -u + 5*c. Solve x = 5*f - 2 - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 + 14 - (5 - -2))) + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2. Let v(k) be the first derivative of -3*k**2 + 1. Determine j(v(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ounps. Give prob of sequence no.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)*2)\/((sqrt(72) + sqrt(18))\/sqrt(3)) + ((sqrt(405) + (1 + sqrt(405))*1)**2 - (1*5*2*sqrt(5))**2).\nAnswer: 100*sqrt(5)\/3 + 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n**5 + 128*n**4 - 108*n**3 - 184*n**2 + 176*n + 96 = 0. Calculate n.\nAnswer: -1, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 123449?\nAnswer: 5\/123449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*b + 3087 = 1260*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 6. Give u(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 1661546*f**2\/9 - 3323038*f - 14953590.\nAnswer: -2*(f + 9)**2*(f + 830755)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.01, 0.1, 34.4 in decreasing order.\nAnswer: 34.4, 2\/3, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 4*n + 220 = 0. Let a be (34\/n - 0\/(-10)) + 4. Factor -2\/5 - 1\/5*m + a*m**2.\nAnswer: (m - 1)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 + 286. Let d = -118.9015 - -2.7315. Let w = n + d. Round w to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -45*l. Let h(u) = 2589*u. Give h(n(o)).\nAnswer: -116505*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 759\/8, -0.07, -0.1, 0.5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971 is divided by 161.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -59, -2, 3.\nAnswer: -59, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*k - 2*k + 30 = 0, 6*r + k - 6 = 0. Solve -12*d - 25 - 35 = r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 71.8. Let n = -0.12 - c. What is n rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*q + 4 = 0, -5*k + 3*q = 226 - 229 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 544\/513, -4, -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 18. Suppose 577 = a - 18. Suppose h*t = 2*t + a. What is the greatest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.85133 + -21.3706. Let g = x - 1.48. What is g rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**2*n**2*v**2 + 12*m**2*n*v**2 - m**2*n*v + 2*m**2 + 3*n**2*v**2 - 44*n**2 - 3*n + 8*v wrt n.\nAnswer: -16*m**2*v**2 + 6*v**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4273 + 2104 = -3*l - 2121 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.90158594 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 275534017 divided by -863743?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46560672 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -87, -3, 7 in descending order.\nAnswer: 7, 0, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 36 = -24*v. Let n be 5\/(15\/v) - -2. Solve -4*p + 5*a = n*a - 15, -4*a + 12 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13300117447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2 + 1)*(4*y**2 + 3*y**2 - 3*y**2).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -0.85, 0.4, 2, 0.2, 1.878?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 579345155 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 299*h**3 + 5*h**2 + 5*h - 4. Let z(p) = 448*p**3 + 8*p**2 + 8*p - 6. What is 8*g(o) - 5*z(o)?\nAnswer: 152*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 721222 to the power of 1\/2, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -668 + 683. Suppose -g - n = -2*x + 8, -2*g = 6. Let r(l) = -2*l**2 + 21*l - 2. Calculate r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**3 + t**2 - t. Let h(a) = 2*a - 3. Let p be h(3). Suppose p*y = 2*y + 1. Determine g(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-6)\/(120\/4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -490769*s - 13*s**3 + 494565*s - 25*s**2 - 19*s**2 - 12*s**2 wrt s.\nAnswer: -78*s - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341 - 0?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2134 + 2167. Put h, -0.1, 4\/7 in increasing order.\nAnswer: -0.1, 4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 7) - (-6 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 5, l: 5, c: 8}?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-418)\/6)\/((-2)\/6). Let r(j) = -5*j**2 - 29*j + 93. Let k be r(-8). Suppose -k*i - w + 339 = 0, 6*w + q = 3*i + w. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 8. Let p = -18449 + 18447. Sort p, w, -16.\nAnswer: -16, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012301 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 66336?\nAnswer: -66334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -143, -213, -283?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/167693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3 + 3)*((i + 123*i - 19*i)*(-1 - 2 + 2) - i + 1 - 1).\nAnswer: -318*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 23*d - 33. Let h be l(2). Suppose 0 = h*m - 6246 - 2854. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2 + 1. Let b(x) = -24*x. Let f(u) = -8*u. Let h(s) = -3*b(s) + 8*f(s). Give i(h(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + 0)*5\/(-10). Let u = 8 + g. Suppose 5 = a - 0. Solve a*m = u*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, v: 1}. Give prob of picking 3 z and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 100*r - 194. Let m be j(23). Put m, 2\/5, 5, 38 in increasing order.\nAnswer: m, 2\/5, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006548 rounded to 5 dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.474 + -0.474. What is the second biggest value in -5, -17, -6\/11, d?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:41 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let q be a(2). Suppose -6 + 0 = 2*s. Sort 2\/5, q, s in decreasing order.\nAnswer: q, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-12))\/((-21)\/(-18)). Which is the second smallest value? (a) -11 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36255 in 1\/3, -1\/107, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 13*l - 6. What is the tens digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/15)\/((-8)\/(-30)). Which is the nearest to -3? (a) 2\/3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/108)\/((-20)\/75*-5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.17 and 34?\nAnswer: 34.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 150999052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -44*l + 8*l - 22*l + 11*l - 39*l. Let r(h) = 2*h. Calculate r(a(v)).\nAnswer: -172*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268990 to the power of 1\/2, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -4902, 25\/23, -3?\nAnswer: 25\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let x be (-2)\/(-1) + (q - 2). Suppose 8 = 4*c - 4*t, x*c + t + 0*t - 2 = 0. Sort c, 2, -4 in descending order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5845 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 51*g + 1096. Let r(c) = -3*c**2 + 86*c - 2191. Calculate -3*r(u) - 5*z(u).\nAnswer: -u**2 - 3*u + 1093","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 44. Suppose 144 = -n - w*n. Let f(p) = -7*p - 21. Is f(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1118 - 1083. What is the smallest common multiple of 40 and c?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 664, 3579, 8436, 15235, 23976?\n\"Answer: 971*l**2 + 2*l - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 58*l**2 + 1156*l - 8629. What is z(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -0.31. Let l = -3.3 + h. Let i = -2 + l. What is the closest to 2\/5 in 0.3, 1\/5, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 + 1074 + (-40 - 1 - (3 + -1))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k + 8*k**2 - 9 + 1\/24*k**4 + 0*k**3. Determine l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 81728 + h**3 + 2*h**2 + 81558 + 0*h**2 to the form c*h + o*h**2 + z + a*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o - o**3 - 110*o**2 + 12*o**4 - 4*o**4 + 101*o**2 - 6*o**4 as r + i*o + t*o**3 + z*o**4 + m*o**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 5*s**2 + 12*s**2)*(-2 + 0 + 1) + (0*s - 3*s + s)*(s + 2*s - s) - 10*s**2 - 18*s**2 + 0*s**2 + (2 + 4 - 5)*(8*s**2 - 3*s**2 - 2*s**2).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219706221?\nAnswer: 3, 7, 43, 467, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 9 (b) 104\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*p = p + 6, -7 = -u + 2*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 104.07 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -473 + 3*u**2 + 79496*u - 517 - 79439*u.\nAnswer: 3*(u - 11)*(u + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isicycaiwiyy. What is prob of picking 1 a and 1 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + (52 - 16) + -79.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 113*t**2 - 5*t + 29. What is the tens digit of d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3) + -2)*-1. Let y be (1 - m)*(-3)\/(-15). Let r = 9 - 17\/2. Which is the closest to r? (a) -4 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 6 = -13*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3070198.\nAnswer: 2, 101, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -8 - 11. Let p be g - 18 - (-1 + -2). Suppose 4*h = -j + 7, -5*j = p + 21. Solve -3*m + 4*o = -10, 5*m - h*o - 10 = 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuu when four letters picked without replacement from zuzzuufzfuzuuzu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/9 + 1 + (-3)\/9. Let c(r) = -14*r + 85. Let p be c(y). Is p >= 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (4 - 1) - 0. Let o(i) = -11*i - 2. Let u be o(-2). Suppose -9*y = -4*y - u. Solve -n*k + y = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 61. Suppose -19 + 9 = -x*w. Factor 315*u**4 + 2*u**5 - u**3 + w*u**3 - 309*u**4.\nAnswer: 2*u**3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -32*l - 236. Let j be (30\/20)\/(21\/(-98)). Calculate r(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -2)*(-6)\/(-6). Suppose 0 = l*m + m - 60. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:49 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 - 5*a**4\/12 + 5*a**2\/2 + a - 88. Determine j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 3. Suppose 2*n - m = -n. Suppose -n*g = -g - 140. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 452658257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.102 - -0.198. Let x = -79 - -89. Which is the second biggest value? (a) x (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 6442635?\nAnswer: 6442635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f, -2*g - 9*f = -6*f + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -28*b**2. Let y(o) = 987127 - 39*o**2 - 987127. What is j(y(l))?\nAnswer: -42588*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**9\/x*x**(-12) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7627 and 717953.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 - 169 + 1025804*c - 1025804*c to g*c**2 + a + o*c and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46990368 and 3456.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:28 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let w(l) = -918*l**2 - 81*l - 81. Let s = -140 + 59. Let m(k) = -23*k**2 - 2*k - 2. Let r(t) = s*m(t) + 2*w(t). Calculate r(b(o)).\nAnswer: 108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.21 and 1866999.8495577?\nAnswer: 1867000.0595577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29397066*f**3 + 14297188*f wrt f.\nAnswer: 176382396*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/p*p*p\/p**4)\/(p*p*p**1)**32 assuming p is positive.\nAnswer: p**(-299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.63 + 14.63. Are -1.4 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*o = -342*o - 9984. Suppose 0 = 3*w - o - 633. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.91. Let o = -0.91 - h. Put -1\/7, o, 0.1 in decreasing order.\nAnswer: 0.1, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10185 + 224029\/22. Calculate the common denominator of 101\/10 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.66 + 1.76. What is the biggest value in -1, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -31. Let z = p - 6. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -66. Let w = g + 84. What is the smallest value in -1\/7, -2, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*w + 14 = -276*w - 5*f, 5*f = 4*w - 28. Determine u, given that 9\/2*u**3 - 3*u**4 - 3\/2*u + 0*u**w + 0 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1859571234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 18. Let b(h) = -5*h + 21. Let a be b(4). Let d(x) = -x + 1. Let u(g) = a*i(g) + 2*d(g). Let j be u(-15). Which is bigger: -1\/31 or j?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10321979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147396705 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5161 less than 218.718?\nAnswer: 5379.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-105)\/(-14)))\/(6\/165)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 168\/(-91)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 234, 1450, 4764, 11226, 21886, 37794?\n\"Answer: 175*x**3 - x**2 - 6*x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.011 - 36.011. Let u = x + 35.9. Let q = 0.5 + -0.2. Which is the closest to 1? (a) 3 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z**5\/3 + 1592*z**4\/9 - 296*z**3 - 448*z**2\/3 - 128*z\/9 = 0 for z.\nAnswer: -2\/7, -2\/15, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-36)*(-13 - -5).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4443 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 22*r - 20*r + 41*r)*(-r**3 - 2*r**3 + 2*r**3).\nAnswer: r**4 + 35*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 7 - 3)*(-115 + 16*m + 57 + 60) as i + b*m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -12*l - 1040. What is the least common multiple of l\/(-3)*(-3)\/2 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2 + 4. Suppose -p - 9 = -4*j, -4*j - u*p + 4 = -14. What is the second derivative of -j*x**3 - 13*x + 1 - 1 + 16*x wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i = 32*i - 110*i + 755316. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56670967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -403741, -403748, -403755, -403762?\n\"Answer: -7*u - 403734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -154.02. Let i = n + -0.020000475. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u**2 + 1. Let t be w(1). What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 25 = 5*k. Let s be (-3 - -1 - k)\/1. Suppose 0 = -6*b + s*b - 9. What is the closest to 1 in -2, -5, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 433*c + 278*c - 998*c - 712*c - 669*c to the form d + a*c and give a.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6423?\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from yyfdxdysyyddff?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 + 192. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10135*m**2 + 10145*m + 10 = 0. Calculate m.\nAnswer: -1, -2\/2027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 95 = 2*f. Suppose 0 = 1867*u - 1864*u - 54. Let y = u + f. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3311, -3244, -3133, -2978, -2779?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-149)\/3 - (6 - 51\/9). Let t = 88 + n. Suppose 12 = -2*z + 52. What is the remainder when t is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 8322 - 2612. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -154?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15318.\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2\/5*m**2 + 1\/20*m**4 + 0*m - 4\/15*m**3 + 3. Solve u(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + 4. Let l = 0.3 + -0.4. Let v = o - l. Is v smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171655, -343312, -514969, -686626?\n\"Answer: -171657*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(99) - (1*sqrt(99) + sqrt(99))) - (sqrt(99) - 5*(sqrt(99) + 2*sqrt(99) + sqrt(99) + sqrt(99)) - sqrt(99)))\/(-1*sqrt(729) + sqrt(324)*-2))**2.\nAnswer: 10571\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + 2. Let s be (-4)\/6 + 352\/6. Let q = s - y. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1717*k + 424074. Calculate g(-247).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8192340 divided by 2048085.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 19*m**3\/3 - m**2 + 2*m + 12. Is o(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from {j: 11, h: 2, d: 7}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 48112.\nAnswer: 240560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v - 933. Let f be x(-52). Solve -f*p = 60 - 60 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m**(-6\/7))**(-2\/15)*(m**(-2\/13)*m)\/(m\/(m**(-3\/2)\/m))*m\/m**(1\/4)*m*(m*m**5)\/m*m*m assuming m is positive.\nAnswer: m**(371543\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3111776 and 6016?\nAnswer: 12447104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -559.0392 + 0.0392. Let p = s - -558.999762. Round p to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5502860.7 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 10*x**2 + 9*x + 1. Let q be a(-8). Is 233\/4 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -10. Sort -5, 4, g in descending order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + 0 + (-1 + sqrt(1872))*-6 + sqrt(1872))*4.\nAnswer: -192*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -414*p**3 + 14*p**2 + 76*p + 15. Is l(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -143 (c) 608 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/9*2\/3. What is the second derivative of -4*g**2 + 4*g**2 + 12*g**v - 3*g wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3159 = 120*k - 6639 + 2958 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*s. Let m(i) = -2*i + 4. Calculate the least common multiple of m(-3) and 4 - (2 - (5 + s)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 6*p + 18. Let l be o(-2). Which is the closest to 0.07? (a) -0.5 (b) 1\/10 (c) 1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/25 - 1\/(-5). Suppose 22 = -c + s*c. Suppose l - 84 = -l. What is the remainder when l is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m - 486 - 398 = 184 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05492 plus 0.4?\nAnswer: 0.45492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/105)\/(6\/60)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.493, 5, -319, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -28569024.\nAnswer: -1\/9523008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x + 2. Let b = -1 - -2. Suppose 4*r + 24 = 3*a, -29*a + 30*a - r - 7 = 0. Let l(p) = p. Give a*l(j) + b*h(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-32))\/((-44)\/16 + 3) - 1. Sort -10.7, m, -2\/7 in descending order.\nAnswer: -2\/7, m, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 13 - 1 + (0 + 3 + 0)*(-4 + 1 + 1))*(3 + 0 - 1)*(-3*o + 5*o + 0*o + 2)*(2*o**4 + o**4 - o**4).\nAnswer: 168*o**5 + 168*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b4 (base 13) in base 4?\nAnswer: -213101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*6\/4. Solve -r + 0 = -l*g - 1, -5*g - 4 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c**(-5\/3)*c*c)\/c)*c)\/c)\/c)\/c*c\/c**(-2)*c*(c*c**(-1\/3))**45 assuming c is positive.\nAnswer: c**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*1)\/(181\/(627165\/825))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/(-12))\/(-3)*(-54)\/(-11178)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + -3*-5*sqrt(66)))\/(sqrt(24)\/(2*-2*sqrt(4))).\nAnswer: 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:15 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3280, 6560, 9840?\nAnswer: 13120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 h when four letters picked without replacement from {x: 1, u: 2, h: 13, s: 1}.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*p + 12. Suppose -4*s + p = -0. Calculate the common denominator of 1 - ((-18)\/20 + s) and 47\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -4*h, x + 207 = 4*h. Let g = x + 310. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -37. Suppose m - 4*m = y - v, -4*y + 41 = 5*m. Calculate the remainder when 2\/5 - (-28)\/m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193968.3 rounded to the nearest one hundred?\nAnswer: 194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-2) - -6 - (-48)\/(-4). Sort x, 5, -2 in increasing order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqbbbbbqbbb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/180)\/(1\/(-20)) - (476\/49 - 9)?\nAnswer: 93\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4\/5, 2\/23, -1, 184?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 - 6*t - 20. Let b be y(-5). Let j be 5\/3 - b\/120. Solve 6 = -j*p + 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -283615*y**2. Let z(o) = -437*o**2. What is 2*f(w) - 1299*z(w)?\nAnswer: 433*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.176726 + -0.12?\nAnswer: 11.056726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -12643?\nAnswer: -12650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1540, 1005, -400, -3095, -7500, -14035, -23120?\n\"Answer: -70*l**3 - 15*l**2 + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = -2. Let y(g) = 5*g + 5. Let p be y(6). Solve p = -5*s - 5*j, -16 = s + 5*j - n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 180*i - 1.\nAnswer: 180*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*t - 6*t + 28, -4*o + 32 = 4*t. Let y be ((-184)\/(-23))\/(36\/27). Solve y = -6*r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1464*u**3 - 10*u**2. Let d(q) = -2563463*q**3 + 17508*q**2. What is 5*d(z) + 8754*j(z)?\nAnswer: -1459*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315875153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/(u**0*u))\/(u\/((u\/(u\/u**1))\/u))**35 assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8925 + -8931. Let i(a) = -4*a**3 - 6*a**2 + 6*a - 6. Let r(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/6 + s**2. Determine w*r(q) - i(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 895698.6kg in grams?\nAnswer: 895698600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -185 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260975 and 14025.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.055018 + 0.055. What is r rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.5 + -96. Let u = -2 - q. Which is the smallest value? (a) -1 (b) 11 (c) 3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/21)\/17*-36\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-2 + l + 2)*(8*l**2 - 4*l**2 + 2*l**2).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204325 a multiple of 1293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 21. Let r be 30 - (1 - 5)\/a. Let x = r - 77\/3. What is the second smallest value in 3, x, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50486*n - 8 + 50487*n + 6 + 2.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -518369123 to the nearest one million.\nAnswer: -518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*g = -g - 50, 5*g = -5*c + 115. Solve -3*s - 5*j + 2*j - c = 0, 2*j = s - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239\/99 + 18\/11. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.074 * 73242.8\nAnswer: 5419.9672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9 + 26*d**2 - 5 + 14. Let o(u) = u**2. Determine r(o(a)).\nAnswer: 26*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28131 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 15*o + 0)*(5 - 5 - 2).\nAnswer: 30*o - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2. Let p(t) = 5*t**3 + 12*t**2 - 5*t. Let g(u) = 6*b(u) + p(u). Factor g(y).\nAnswer: -y*(y - 5)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 3, a: 10, h: 1, o: 4, l: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23839.8521 rounded to the nearest one hundred?\nAnswer: -23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 20 = -20*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-42) + 4\/6. Which is the closest to -6? (a) 5 (b) v (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 65, 2 in descending order.\nAnswer: 65, 2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -17 + 77. Suppose -f = y - 5*y, -3*t + 30 = 2*y. Suppose 2*x = 2 + t. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307*((-5)\/(-3) - 2)*-1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/3*v**3 + 19\/3*v**2 + 11\/3*v**4 + 0 + 4\/3*v.\nAnswer: v*(v + 1)**2*(11*v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 420\/307, -0.5, -1, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*m + 4351 + 3705 = -3631 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21)\/(2\/49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (20\/(-8))\/(1 - 22\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 4. Let o(a) = -11*a - 40. Give 6*m(v) + o(v).\nAnswer: -5*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -543. List the prime factors of b.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 - -108. Let s = 92 + v. Sort -1, 0, s, -4 in descending order.\nAnswer: s, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/((t**(-47)\/t)\/t)*t*t)\/t*t))\/(t\/((t*t*t**(-32))\/t))*(t**(-4))**(3\/5) assuming t is positive.\nAnswer: t**(-432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndgmgggpd. Give prob of picking 1 p and 1 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73759, -70693, -67627?\n\"Answer: 3066*j - 76825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a**2 + 9*a - 12. Suppose -q - 5*q = -36. Let g be f(q). Suppose 8*y = g + 110. Solve -h - 2*o = -3*h - 14, 0 = h - 4*o + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.29156623+-8\nAnswer: 38.29156623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*m**3 + 20*m**3 - 57*m**3 - m + m - m**3 + (m**2 + m**2 - 3*m**2)*(2*m - 5 + 5) + 4*m**3 - m**3 - 5*m**3)*(1081 - 1081 - 20*m**2).\nAnswer: 1280*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1464092 + -1484708.38. Let f = a - -20616.5200011. Let v = 0.14 - f. Round v to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, z: 5}. Give prob of picking 3 d and 1 z.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 22.56277.\nAnswer: -1.1281385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j)\/(j*j**(-2)*j)*(j\/(j*j**(-1))*j)**43 assuming j is positive.\nAnswer: j**(347\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -2\/25, 5, -2, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.03.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 550369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -39, -134, -317, -618, -1067, -1694?\nAnswer: -2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:46 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t - 18. Let z(y) = 54*y - 39. Let x(p) = -13*j(p) + 6*z(p). Let l(k) = 50*k**2 + 33*k. Calculate l(x(o)).\nAnswer: 50*o**2 - 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 6) + (20 - 11 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/86 (b) 2\/3 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*i - 15, -10*i + 7 = -7*i + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1420 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33601 plus -10563789?\nAnswer: -10530188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 12. Let p(g) = -16*g + 13. Calculate 5*i(j) - 4*p(j).\nAnswer: 9*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-30) + (-39)\/(-30))*56. Let y = s + -56. What is the greatest common factor of 308 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189512145 divided by -3\nAnswer: -63170715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 14. Let f be (6 - (-910)\/(-147))\/(8\/12). Let m = -0.8 + -0.2. What is the fourth biggest value in f, -11, m, h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 - 28*a**3 + 24*a**2 + 128*a - 128 = 0. Calculate a.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9684402 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: What is 0.2 less than 9297?\nAnswer: 9296.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 66. Calculate the least common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, v: 1, z: 2, x: 3}. Give prob of sequence zzxx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -1 (c) -0.3 (d) -8 (e) -4128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(-26) + 1\/2. Is (-10)\/j*((-188844)\/30 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:52 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13.3 * -0.0177\nAnswer: 0.23541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**2. Let n(c) = -386467*c**2. Calculate i(n(p)).\nAnswer: -2240351131335*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825762307 + 7*b + 825762307 + 16*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/88 and -63\/296?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 41068*b + 130 + 41082*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/3)\/((-78)\/(-5148)). Let j be 9\/(-3)*(13 + d). What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/13 - (-102)\/(-13). Suppose -3*n + 109 = 2*u, -2*n = 3*u - 46 - 20. What is the remainder when n is divided by ((-10)\/d)\/(10\/80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1954 + 2320. Solve p*s + 20 = 386*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 2. Suppose -w - 55 = -12*w. Solve -2*r + 2*c = -2, 0*r = a*r + w*c - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:32 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*s + 32 + 18, -3*w = -15. Suppose 2*z = 4*d + s, -4*z + 0*d + 38 = d. Let x be 2 + 4\/(-2) - -5. Solve 3*h + 0 - z = 0, -x*i - 2*h = -11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + 3)*-2 + (-1*sqrt(1617))\/sqrt(11).\nAnswer: -5*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/10888 and 43\/9527.\nAnswer: 76216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1623715 and 1623718 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -52950 to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/6, -0.1, -2\/9 in decreasing order.\nAnswer: -0.1, -1\/6, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-524)\/(-60)*6)\/(-24) and -155\/78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g - 7. Let z(y) be the third derivative of 2*y**4\/3 + 4*y**3\/3 - 14*y**2. Let d(r) = 5*j(r) + 4*z(r). Is d(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38667 + -12639. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/11 + 1084*u\/11 - 4688 = 0. What is u?\nAnswer: -586, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -2, 0, 0.54, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 992915 = -362895. Suppose -4*j = 3*v + l, 3*v + v + 4*j = -168004. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 92, 2 in decreasing order.\nAnswer: 92, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(-393 - 100*a**2 + 393) - 4*a**2 + 6 - 6 + (2*a + 0*a - 4*a)*(-a + 5*a + 0*a) in the form d*a + b + l*a**2 and give l.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:05 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 14) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.06669?\nAnswer: -3.93331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142097 is divided by 472.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, z: 7, c: 1, r: 1}. Give prob of picking 1 r, 1 z, and 1 c.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1784.083 + 1785. Let q = n - 0.86. Let l = q - 0.059. Round l to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913 (base 13) in base 3?\nAnswer: 2002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-10)*(0 - -5). Let x(s) = s**3 + 5*s**2 + 2*s - 3. Let l be x(-2). Sort z, 0, l, 7 in increasing order.\nAnswer: 0, z, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wggzg. Give prob of picking 2 g and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-22) + 46\/110. Let r be 35\/(-7) - -12 - (1 + 5). Which is the fourth biggest value? (a) -2\/15 (b) w (c) r (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014705 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15*z - 60 = 10*z, -c + 4 = -z. Let n be c - (-23)\/(-3) - 0. What is the closest to -1 in 2, n, 19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zhrhhzkkhnhkhnw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, z: 5}. Give prob of picking 3 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r - 9. What is the smallest common multiple of 8 and y(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 3*i. Let l = 253 - 175. Suppose 73 - l = h. Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -48b?\nAnswer: -47d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 49*s - 10*s - 72 + 49 as c*s + q and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 69 (b) -2 (c) 25 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - 2*o + o**2 - 7 - 6*o. Let a(y) = -y**2 - y - 1. Let w(i) = -2*i - 8. Let m be w(-7). Give m*a(x) - n(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 = 5*y - 3*k, 5*y + 3*k - 779 = -0*y. Let b = -145 + y. Calculate the highest common factor of 32 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27 + 1\/(-1)*3. Let p be (-39)\/(-18) - 4\/h. Find the first derivative of 6 - p*j**4 - 2 + 5 - 6*j**4 wrt j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6839622 is divided by 253319.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 6. What is the third biggest value in g, -1\/6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m - 7. Suppose 5*k = 20, 14 = -3*c + 2*k - 0*k. Let t be c\/(-3) + (-16)\/(-3). Is d(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1102199.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s = 152*s + 1584 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -42*v - 29. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45787736 is divided by 22893820.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 + 148460*h**4 - 296940*h**3 = 0. Calculate h.\nAnswer: -29694, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 17 - 4*x - 4*x - 19 - 2 to m*x + r and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 2612 + 6140. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 3*r - 9. Let p(k) = -6*k**3 - 6*k**2 + 3*k + 15. What is the least common multiple of p(-2) and x(-7)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7600\/160*8\/20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -236?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3. Suppose 6*n - 1 - 35 = 0. Suppose 6*w - 31 = 3*w - m, 11 = 3*w + 5*m. Suppose n*j = 9*j + w. What is v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/21 + (-16)\/28. Suppose -t - 21 + 23 = p. Suppose -3*k + 107 = -t*k - h, k - 97 = -h. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3433 and 1.7.\nAnswer: 5836.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -851\/7. What is the biggest value in 4, -5, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 350*v**2 - 10*v - 43. Does 17 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (5 + 5 + -6)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0699 rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36 + 0.04. Let n = -1.9 - -2. Let x = -0.6 - -0.1. Which is the closest to n? (a) x (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2460 and 16\/3.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -223*u**2 + 10*u**2 + 4 - 98*u**2 + 355*u - 54*u**2 + 6.\nAnswer: -5*(u - 1)*(73*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vki when three letters picked without replacement from xkirkrxrvbvxkvx?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - 0.11. What is the third smallest value in -6, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83330 divided by -2\nAnswer: 41665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6680017 is divided by 573?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8964 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 116*p + 6328. Let l be x(-53). Calculate the highest common factor of 576 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9877.107ml?\nAnswer: 9.877107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-2)\/(-4))\/(-4*(-24)\/(-576)). Let w = 6 - 14. Which is the smallest value? (a) w (b) 4\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/64)\/(-5))\/(376950\/172320)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = -a + 10, 3*i = -4*a + 32. Let l(t) = t**3 - 9*t**2 + 6*t. Let z be l(i). What is the units digit of (z\/20)\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6359572 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -79*u + 21. Let k(i) = 118*i - 31. Let b(p) = -5*k(p) - 8*v(p). Is b(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/6 + (-530)\/60 + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 16*z + 2*t - 202, 3*t = -3*z + 147. What is the greatest common divisor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - x - 114, 7*h - 4*x = 8*h - 27. Calculate the remainder when 154 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 52 = 4*m, -4*z - 2*m + 40 = 2*m. Solve 5*x - 2*x + z = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 + k. Let p be f(4). Let v be (-17)\/(-3) + p\/(-6). Suppose -v*d - 7132 = 1368. What is d rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185516709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 3*(sqrt(432)*-2)**2 - (3 + -5 + (1 + sqrt(432))**2 + sqrt(432))).\nAnswer: -9508 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2. Let m(d) = -1072*d + 3. Calculate h(m(y)).\nAnswer: -5745920*y**2 + 32160*y - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 3*x + 3, 4*u = -u - x - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21823 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-53)\/(-5) - (-57)\/(-95).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*a**2 + 100*a**2 + 62*a**2 to s*a**2 + k + v*a and give s.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + -1 + (-8 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 8*u - 5. What is the least common multiple of 10 and f(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546671309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 573.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -49. What is the third derivative of 106*m**3 - 8*m + 3*m**2 - h*m - 7*m**2 - 34*m**3 wrt m?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -233 (b) -0.4 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*z + 3*x, -2*z + 0*z - 5*x - 22 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - m = -177, 2*m - 71 = -3*n + 103. Suppose 0 = 4*s - n + 44. Solve -3 = s*t + 5, 5*c = 5*t - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3982 - -3981.96108. What is y rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -0.3, -2\/9 in decreasing order.\nAnswer: 8, -2\/9, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.6. Let h be (-11)\/(-10) - 6\/(-15). Sort -1\/5, f, h in decreasing order.\nAnswer: h, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235190 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, -165, -0.24 in decreasing order.\nAnswer: 165, -0.24, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 15, -37.\nAnswer: -37, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*l**2 + 3*c*l - 48*c - 16189098*l**2 + 13*l + 2168 wrt l.\nAnswer: -8*c - 32378196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.18959\nAnswer: -0.18959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b - 5*b + 5*b)*(-3*b + 3*b + b)*(-11*b + 11 - 11) to l*b**3 + t + g*b**2 + s*b and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158499?\nAnswer: 3, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-1*3)\/sqrt(12))\/((2*sqrt(80))\/sqrt(8) + sqrt(160)*-6).\nAnswer: 3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110202 (base 3) in base 8?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7654073 divided by -1?\nAnswer: 7654073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-1*370 + -3). Let w = -4040\/11 + r. What is the common denominator of 35\/8 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1453 - 117751?\nAnswer: -116276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10187 plus 0?\nAnswer: -0.10187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -253547.52 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 7 + 17. Calculate the common denominator of 77\/2 and 141\/b + -2 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*h**4*s + h**2*s*t + 29*h**2*s - h*s - 8*h*t - 5*s*t + 5*s - 6 wrt h?\nAnswer: 1596*h**2*s + 2*s*t + 58*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503 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: Suppose -6 - 42 = 4*s. Let x = -7 - s. Suppose 9 = x*u - 306. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 72 = 0. Suppose 96 = -3*z - 0*f - 3*f, -2*z + 4*f - 64 = 0. Let t = 54 + z. Calculate the least common multiple of c and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9, -5*l + 3 = -3*l - f. Suppose -5*q + 25 = -4*d, l*q = -2*d - q + 20. Find the third derivative of -2*t**3 + 0*t + d*t - 2*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7131 - 2163 = 0. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 10*i - 9. Let o be r(1). Suppose n + 432 = o*t, -2*t + 288 = -4*n + n. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 532, 1388, 2796, 4876, 7748, 11532, 16348?\nAnswer: 22316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1955651 is divided by 5093.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 5. Let v be n(0). Let z = -25\/39 + -1\/39. Which is the closest to -1? (a) 0.3 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -2, -1, 2 in decreasing order.\nAnswer: 2, 1, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -m - 49, 0*m = 4*m + 5*l + 217. Let z = m - -62. Solve -3*p = 2*a - 21, 0*a = -2*a + 2*p - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1990 - 564 = -23*d. Which is smaller: d or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24729 + 35793. What are the prime factors of -5*((-4)\/(-30))\/((-16)\/s)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, l: 7}. What is prob of picking 2 l?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/8 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 15. Let i be ((-12)\/10)\/((-321)\/535). What is the smallest common multiple of (z - (-100)\/(-15))\/(i\/(-18)) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-12))\/(386\/(-772)). Let t = -37\/28 - -11\/7. What is the nearest to t in v, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m + 9 = 0. Suppose -3*w + s = -28, 3*w - 5*s = 30 + 14. Differentiate 7*h**2 - m*h - w*h + 17*h - 1 with respect to h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-120) - 2\/10) + (-5434)\/220.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129193 or -128978?\nAnswer: -129193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5314904347\/2520 - -2109089. What is the common denominator of l and -197\/2520?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 102480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183082423.\nAnswer: 19, 29, 332273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.244146 and 4.42.\nAnswer: 1.07912532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 13*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053493500 divided by -1?\nAnswer: -1053493500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 + 21*s**2 - 21*s**2 + 0*s - 2*s**5 + 0*s + (-2*s**5 - s**2 + s**2)*(2 - 3 + 2) + 0*s**4 + s**5 + 0*s**4.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452796791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16709149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(6 + 1 + -4). Suppose 5*f + 2*w - 155 = n, 2*f + 3*w = 29 + 33. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42428 divided by 10607\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 26, 20, 0, -40, -106, -204, -340?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01935964 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/3 + 2588036*p**2 + 15528207*p + 23292306 = 0.\nAnswer: -7764102, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + z + 29 = -3*y, -z - 16 = -y. Suppose -y*w = -18*w + 75. Find the common denominator of ((-62)\/(-25))\/(2\/w*24) and 55\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288 - -1232. Let g = u - 674. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**4\/7 + 867*p**3\/7 - 38862*p**2\/7 + 80445*p - 38850 = 0. Calculate p.\nAnswer: 1\/2, 35, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*d - 0*d. Let s = -2 - d. Solve -s*f + 2 + 5 = 2*y, -f = 2*y + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1193.07 + -1188. Let r = 5 - k. What is r rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 202215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11764823893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 - 4608*h**3 + 1236664*h**2 + 52093440*h + 511212100 = 0?\nAnswer: -19, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*(396*i + 145*i + 647*i - 327*i).\nAnswer: -1722*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.9575655910429 + -0.4.\nAnswer: 14.5575655910429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 - 16.6?\nAnswer: -16.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*l - 22830 = -123*l + 676*l + 10890 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22 + 10*g**2 - g + 22. What is the remainder when 35 is divided by r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34, 8 in descending order.\nAnswer: 34, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t + 0*t**3 - 5 + 2 + 15*t**2 + 3*t**3 + 0*t as c + q*t**2 + l*t**3 + v*t and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -56008 take away -0.15?\nAnswer: -56007.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 184. Let u be (150 - 0)\/((-240)\/90). Let c = u + y. What is the nearest to c in 0, 0.6, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61520+-401346.1\nAnswer: -462866.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 28 (c) 0.126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.08 + -0.18. Let p = x - 9.1. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let h(l) = -3*l**2 + 2*l. Let d be h(s). Let j = d - -20. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130564?\nAnswer: 2, 7, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -47. Let w be j\/(-117) - 1354\/13. Let x = w + 115. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*a - 65 = 0, -3*b - 5*a + 174 = -0*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*q, 2*m + 5*q = -2*m. Suppose m*v = v. Solve p = 2 - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(2) + sqrt(4)\/sqrt(2))*4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/13 - 328*z\/13 + 181240\/13 = 0.\nAnswer: -394, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**2 - 4*d - 2. Let b be v(3). Suppose 0 = -z + b - 0. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 872*f**3 + 4*f - 3. Let c be t(2). Suppose 52440 = 1992*n - 1980*n. Let y = c - n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-24)\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, p: 2}. Give prob of sequence uup.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 2*k**2 + 2*k**2. Let d(f) = 3*f**2 - 5*f**2 + f**2. Calculate d(i(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -44. Let m(u) be the second derivative of 7*u**3\/3 + u**2\/2 - u. Is m(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 1481 = -1544 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*k + 568*k + 25488 - 21286 + 39190 = 0 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1017 + -1003. Suppose n - 3 = k + 4*n, 5*k - n = 17. Suppose i - 58 + 167 = 2*x, -158 = -k*x - 4*i. Calculate the smallest common multiple of x and q.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 41 + (37 - 17 - 29) - 91?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 219*4\/20*1*(-16125)\/9675\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3606*n + 21631. Give p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**5 - 2*q**5 + q**5 - 4*q + 12*q wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82*l**3 + 29*l**3 - 19*l**3)*(30 - 70 + 23) to d*l**2 + m*l**3 + j + a*l and give m.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-8))\/(2366\/8112)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:21 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 10*o + 12*o - 1259, 3*t = -3*o + 1254. Is 47 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/65, 1, -1\/3 in descending order.\nAnswer: 1, 3\/65, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(396) - (3 + sqrt(396))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 7 + 26. Let h be -3*1*5\/15. Put h, -2, l in ascending order.\nAnswer: -2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-24) + 2\/(-8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + (1 + 2 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/2*(-4)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17452343 is divided by 5817419.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3507 - -45593\/13. Sort m, -1.53, 5.\nAnswer: -1.53, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 78. What is the remainder when 168 is divided by a(-17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/53854 and 12\/5.\nAnswer: 269270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 17*f**2 + 19*f + 54. Determine y(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y*y**(-6))\/y)*y**(6\/5)*((y\/y**2*y)\/y*y)**(-2\/21)*(y\/(y*y\/y**(3\/5)*y)*y\/(y**(-4)*y))**50 assuming y is positive.\nAnswer: y**(686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2286.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k*k**9)\/(k**(-1\/5)\/k*k*k**(-3\/5)*k))**(-22) assuming k is positive.\nAnswer: k**(-308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/9*((-57)\/152*15)\/((-45)\/36). Let k(x) be the first derivative of 3*x**2\/2 - x + 1. What is k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*x = -8, -3*t + 4*x = 20 + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a millimeter in micrometers?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:27 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 332611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752760 by -85.\nAnswer: 8856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 42024048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + 1. Let b be d(3). Suppose 11 = -2*h + 4*x + 51, -2*h - x + 45 = b. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (832\/384)\/((-12)\/72).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1506 + -28520928.6.\nAnswer: -28519422.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 10. Let n(c) = -c**3 + 5*c**2 - 2*c + 55. Let j be n(6). Determine f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5631663, -11263322, -16894983, -22526646, -28158311?\nAnswer: -33789978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, y: 9, l: 2}. Give prob of sequence yy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1515239 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66586748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/q*q**(-1\/7))**(-12\/5) assuming q is positive.\nAnswer: q**(1188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/1769 and -99\/2.\nAnswer: 3538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.8. Let r be -3 - 12*6\/(-27). What is the closest to r in 4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1282, 1304, 1340, 1390, 1454, 1532, 1624?\n\"Answer: 7*x**2 + x + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9423 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 6*z**2 + 28. Let t be o(5). Suppose -5*x + i = -2*i - 14, 9 = -t*i. Which is greater: x or -2\/191?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61.10075l?\nAnswer: 61100.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from {c: 1, f: 2, k: 1, a: 4, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-9)\/p)*p*p\/((p\/(p*p**(-20)*p*p))\/p*p)*p*p**(1\/7)*p\/(p\/p**(1\/4)) assuming p is positive.\nAnswer: p**(-101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j**2 - 2*j - 4. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -0.3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142893124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -51482\nAnswer: -10296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216, 401, 562, 699?\n\"Answer: -12*z**2 + 221*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/33)*k**(4\/3)\/k*k)\/((k\/(k*k**(2\/9)*k))\/k**(-1)))**(-15) assuming k is positive.\nAnswer: k**(-740\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqzzqzzzzzzozz. Give prob of sequence zzz.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11)*5 + 0 + -5.\nAnswer: -10*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 4*b - 8, 2*i = -b + 43. Solve 3*t + 12 = 5*s, -5*t = -4*s - 0*t + i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*u - 1204 = 84*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2471 = -325. Let i be ((-6)\/(-4))\/(37\/j). What is the greatest common factor of 116 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*x - 81*x = 4*u - 94, 2*x - 81 = u. Let l(q) = 11*q**2 + 5*q - 4. Calculate the remainder when l(3) is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 305871088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 60 = 0. Let j be 8\/5 - (-8)\/n. Solve r + j*d = 5*r - 10, d + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253.9999993 + -254. What is h rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*m + 217*m - 1058*m + 752*m.\nAnswer: 241*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 - 1215110*c**2\/3 + 31591846*c\/3 - 205344802\/3.\nAnswer: 2*(c - 607529)*(c - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58 - 0) + -13 + 16. Suppose 10*u - 19 = j. Let m(a) = -2*a**2 - 23*a - 9. Calculate the remainder when m(-10) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -46, -0.4, 2, 0.4, 2\/13, 96?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/11 + 5718*n**2\/11 + 467552*n\/11 + 7900032\/11 = 0. What is n?\nAnswer: -56, -24, 2939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - (8 - 4 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/1593, 3, 84, -2\/13?\nAnswer: -2\/1593","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1022832 or -1022833?\nAnswer: -1022832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.11 (b) 2 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (34 - 12) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.18 - -0.18. Let t(f) = f**2 - 41*f + 148. Let a be t(37). Do a and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/2)\/((1\/28)\/(31\/124))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9567 - -9567. Is x at most as big as -1\/4263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:58 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4421.2 and -0.02.\nAnswer: -88.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -15 + 3. Let m(a) = -26*a + 0 - o + 2. Is m(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-11 + 2) - (60 + -14) - (-5 + 11).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -69. Suppose h*d = -5*d - 374. Let a be (-4)\/(-8)*(2 + d\/16). Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2666 or 2665?\nAnswer: 2666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 865493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 219 = 11*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -1 - (-43 - -34) - -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(5))\/sqrt(4))\/(sqrt(700)*3).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 16, 218, -8, -4.\nAnswer: -8, -4, 1, 2, 16, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 7:31 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -14. Suppose 0*h + 21 = 2*x - h, x + h = 9. What is the greatest common factor of x and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/13 - 340*x**4\/13 + 54*x**3 + 2368*x**2\/13 - 6856*x\/13 + 4128\/13 = 0. Calculate x.\nAnswer: -172, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/((-2)\/(-4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1, 2, -304?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525107 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, z: 14}. What is prob of sequence ggg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 2\/3 (c) 43 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(2 - 4 - 1)*(-247*w - 599*w - 133*w) as h + g*w and give g.\nAnswer: -2937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-18)*i*i))\/i)**(1\/58)*(i\/(i\/(i*(i\/(i**(-2\/47)*i))\/i)))\/i**(-13))**50 assuming i is positive.\nAnswer: i**(906475\/1363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a factor of 2188327812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-two fifths of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13019011 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10358 and -85.\nAnswer: -10443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 3*n**3 + 60*n**2 - 9*n**3.\nAnswer: -11*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aua?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g - 32. Let z = g - -54. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-4) + (5 - 1). Suppose 0 = 4*x - 5*d + 41, s = 2*d - 10 - 0. Is 12 a factor of (-234)\/x + (-9)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-308))\/((-1182)\/(-2167))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36543024*y + 33838193 wrt y?\nAnswer: -36543024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l)*(-2 + 0 + 4) + 5 - 5 - l + 2 - 2*l - 2 + 4*l - 3*l - 2*l + (-1 + 2 + 1)*(-l + 0*l - l) + 1 - 1 - 2*l - 2*l + 2*l - l - l + 2*l + l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 1. Let p = -135 + 134. What is t(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zziiiziiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.3311g in micrograms?\nAnswer: 501331100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - 2*r**2 - 7*r - 2. Let z(k) = 17*k**3 + 9*k**2 + 29*k + 9. Let o(u) = -9*g(u) - 2*z(u). Find the second derivative of o(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 - 2*x - 2. Let t be h(-2). Let c be 12\/8*8\/6. Solve c*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 9388279 + 243*u - 9388275 + 434*u + (u - 2*u - u)*(0*u + 4*u - 3*u) as l*u**2 + h + n*u and give n.\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 - -100 - (-1 + 6 + (6 - 8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(378)\/sqrt(6) + -1.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/15)\/((-28)\/(-20)). Suppose 3*l + 2*h = -9, 73 - 43 = -3*l + 5*h. Which is the smallest value? (a) j (b) 3 (c) -12 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((8 - 7) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1224)\/85)\/(-4))\/((-4)\/(-90)*3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125726*f = 125442*f + 2556 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1937 (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:29 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 1, f: 3, l: 2, p: 4}. Give prob of picking 1 t and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1535 (b) 5 (c) 69166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 50, 40, -10, -112, -278?\n\"Answer: -2*x**3 - 2*x**2 + 38*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and -297*(38 - 36)*(-2)\/(-48)*-4.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/(1\/(-5)). Suppose 533 = -13*l + 520. Suppose 0 = -3*s - m - 6, 3*s - 1 = 4*m - 7. Put l, s, q in increasing order.\nAnswer: s, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -130626*c**2 - 4*c. Let r be i(-4). Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108937*x + 55413*x + 54452*x.\nAnswer: 928*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3343 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-148)*(-9)\/15. Let i = -121\/666 + k. Which is the second smallest value? (a) 0.3 (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43758 divided by -153.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 5*o - 31, -30 = -5*c - 3*o. Suppose c*p + 88 = -71. Let m = 412 + p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 19. Let q = -7.2 + p. Let x = 0.2 + q. Which is the second smallest value? (a) 0.4 (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -346 + 344 + 1 + (22 - -2) + 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61023\/8 - -7618. Find the common denominator of n and 9\/(-6)*(-107)\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3*11\/(-66))\/(6*-1)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {w: 2, m: 9, e: 6}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14320312220 (base 5) in base 4?\nAnswer: -1020022103100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 divided by 151?\nAnswer: 407\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243618261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:00 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. Let d(b) = b - 4. Let y be d(c). Let u(s) = 2*s**2 + 2*s - 4. Does 4 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91833180 divided by 6?\nAnswer: -15305530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71759?\nAnswer: 73, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5158 (base 15) to base 6\nAnswer: 211315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 9. Calculate z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 127, 2\/9 in increasing order.\nAnswer: -0.06, 2\/9, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 0*q**5 + 3*q**5 + 5*q**5 - 12*q**5 - 9*q**5 + (q**3 + 0*q + 0*q)*(2*q**2 - 6*q**2 + 2*q**2).\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.72 - 35.39. Which is greater: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.445 to the nearest integer.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1229*-549\nAnswer: -674721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(-637 - 189 + 261) - 4 + 2 + 3)*(-h**3 - 3 + 3) in the form r*h**2 + x + n*h**3 + y*h and give n.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 12*v**2 - 24*v - 27. Calculate the remainder when l(-12) is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = 3*d, -r + 0*r + 5*d + 24 = 0. Let l(c) = -1. Let z(x) = 5*x + 10. Let i(v) = r*z(v) - 5*l(v). What are the prime factors of i(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12. What is the smallest value in 1\/11, l, 0.05?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -d + 6, 11 + 13 = 2*d + g. Differentiate -10*t + 2 - d - 33*t - 9 wrt t.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2744133 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(85) - sqrt(85))\/((sqrt(150)\/sqrt(3))\/sqrt(10)) + 2.\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 - z. Let b be x(2). Let m = 11798 - 11708. What is the highest common factor of m and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*j - 6, j - 2*t = -0*t + 4. Suppose j*o = 7*o. Suppose o = -7*z + 4*z + 21. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3 - h + 27. Let p(i) = -i. Give p(u(g)).\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6*(-4)\/(-9). Let r = -1296 + 1296.0533. Let x = 0.5533 - r. What is the nearest to 0.1 in l, -5\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5781544 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*z = 237, -3*a - 4*z - 22 = -169. Solve r - 40 = -a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 141?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + (-18)\/4. What is the tens digit of 94\/(b*1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -857754 divided by -1.\nAnswer: 857754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304784 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 36. Determine l(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -539*j + 2. Let s(z) = -362*z + 1. Give -7*s(n) + 5*t(n).\nAnswer: -161*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + z + 2917 - 970 - 975 = 985, 0 = -24*w + z + 95 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1409*i**2 - 135*i**2 - i + i.\nAnswer: -1544*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 136 - 136 - 3*n. Let f(k) be the third derivative of k**4\/8 - 2*k**2. Determine f(p(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.214.\nAnswer: 1.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -0.2 (c) -2\/7 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4559 is divided by (14 - 16)\/(5\/(-190))?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(12)\/sqrt(2) - sqrt(6))*5 - -2*sqrt(726))\/((sqrt(2700)*1 + sqrt(27) + sqrt(27))\/((-1*sqrt(9) - sqrt(9) - sqrt(9))*3)).\nAnswer: -69*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.733 micrometers in kilometers?\nAnswer: 0.000000052733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*d**2 + 38*d**2 - 106*d**2 - 41*d**2 as b*d**2 + i + m*d and give b.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 15 = -2*q, 3*l - 40 = 5*q. Let z(x) be the third derivative of 7\/6*x**3 + 0*x + 4*x**2 + 1\/60*x**5 + 0 + 1\/4*x**4. Give z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -123*t + 112*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(n + 3*n - 6*n) - 49*n + 36*n + 2 + 1 - 28 + 28 + n.\nAnswer: -10*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/(-8484))\/(11\/(308\/(-14))).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.5. Let z = 0.23 + -14.23. Let p = -9 - z. What is the closest to 1\/3 in -3, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3946 + 1.10493. Let f = 0.71 - i. 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 v(c) = c - 1. Let t be v(-4). Let w = -3344 - -3349. Let j be (-6)\/21 + (-52)\/14. Sort w, j, t in ascending order.\nAnswer: t, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -12 - -2 - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -60, -0.2.\nAnswer: -60, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110781411 divided by -8521647?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**2 - 19*r - 5. Let s(j) = 3*j**2 + 6*j + 2. Let q(p) = 2*h(p) + 7*s(p). Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20154383?\nAnswer: 19, 313, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let p = 116 + -36. Let v = p + -83. Which is the third smallest value? (a) -0.02 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 190\/26 - 28\/91. Put d, -6, 0.1 in decreasing order.\nAnswer: d, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**2))**(-4)\/(n**(-5\/4))**3 assuming n is positive.\nAnswer: n**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 61256994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose y*f = 2*f + 48. Suppose 4 + 3 = o. Solve 4*w + f = o*n - 2*n, 0 = 5*w - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71781 = -13*k + 1084. Suppose -p + 0*f - 4*f + k = 0, -5619 = -p + 3*f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532695.\nAnswer: 3, 5, 17, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(162)*1 - sqrt(162)) - sqrt(162) - 6*sqrt(162)*2) + 1*(-1*sqrt(162) + sqrt(162))*2*-3)**2.\nAnswer: -936*sqrt(2) + 27394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 - 0.1. Let g = 5 - m. Let j = 4\/45 - -1\/9. Put g, j, -3 in descending order.\nAnswer: g, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 172*p + 322. List the prime factors of v(15).\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11818.\nAnswer: 2, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7566 - 12329. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from bbubuujbujju.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l + 2*l - l**2 + 30*l - 3*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17797475206 take away -1?\nAnswer: -17797475205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 8. Let v(w) be the third derivative of -w**4\/24 + w**3\/3 - w**2. Let q be v(d). What is the second biggest value in q, 2, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 17}. Give prob of picking 2 t and 1 s.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -88*t**3 + 301*t**2\/2 - 197*t - 2. Differentiate n(o) with respect to o.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*s - 7466 - 2816 = 0 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - -115) + (-2 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12850 is divided by 1159.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 0.0881\nAnswer: -0.06167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvov. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from mccncmm?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*2 + -2*sqrt(5)*4 + -3*sqrt(45) + 5.\nAnswer: 5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:15 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 131, 3, 5 in decreasing order.\nAnswer: 131, 5, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 14 = 26. Let k = -119 + 831\/7. What is the closest to k in 0.3, a, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 2. Let l(x) = 53*x - 32*x - 4 - 3 - 2. Determine 18*c(r) + 4*l(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-2\/13)\/c))\/(c**(1\/12)*c*c))\/((c*c\/(c\/(c**(2\/5)\/c*c)))\/c**(1\/4)))**(14\/3) assuming c is positive.\nAnswer: c**(-2947\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1651*n**7\/42 + 839*n**3\/3 + n - 21. Find the second derivative of u(w) wrt w.\nAnswer: -33020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -562*w + 554*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 16*q**2 - 6*q + 7. Let r be l(10). Let s be (0 - 0 - r)*1. Suppose -4*z + s + 375 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Let n = -236 - -238. Let d(a) = 3*a**2 - n*a**2 + 8*a**2 + 0*a**2. What is r(d(u))?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - 11*r + 73 + 17*r - 8*r**3 in the form t*r**3 + b*r + l + p*r**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 75*i = -73*i + 16879, -4*i = 3*f - 10117. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1188687058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 0*v**2 + v**2)*(-5*v + v + 0*v)*(0 - 351*v + 358*v + 2).\nAnswer: 84*v**4 + 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30355123 divided by -30355123.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 21*b**4 + 4 - 6)*(-20 + 80 - 33) to the form o*b + x*b**2 + j + n*b**3 + r*b**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 25. Suppose 5*z = -2*w + 12, 1 = t*w - z - 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + q - 5 = 60, -u = -3*q. Let z be u\/3*3\/5. Factor 2*m**3 - 5*m**4 - 10*m**2 + 16*m**z - 18*m + 2 - 6 + 19*m**4.\nAnswer: 2*(m - 1)*(m + 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/12 + 7*t**3\/6 + 3*t - 134. Let p be (-2 + 11\/4)*-8. What is c(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-4) + 1 - 1\/(-2). Which is greater: y or 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7096*j**3 + 14193*j**3 - 7095*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 8*n**2 + 9*n**2 - 5*n**2 - 12*n**2.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 49 = -5*m + 41, 0 = j + 4*m + 3. Suppose -3*x = -7*x - 320. Let i = j - x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2 - 2*n**2 + 9 + 3*n - 2. Let z be o(-2). Is -6 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 29*x**2 - 175*x - 4355. Calculate g(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y + 64. Let g(v) = 20*v - 128. Let b(m) = 4*g(m) + 7*u(m). What is the derivative of b(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 476 = 12*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1542 = -2*n - 698, 0 = 4*i - 4*n - 2240. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434559 divided by -75.\nAnswer: 1434559\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (8 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/15)\/(168\/(-2060)) - (-36)\/378. Sort 391, -1, 2, n in descending order.\nAnswer: 391, n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(16\/3))**(-2\/37)*(o**(-2\/3))**(-7\/6) assuming o is positive.\nAnswer: o**(163\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express m + m - 16*m**2 + 8*m + 1 as p*m**2 + z + r*m and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -502, -671, -840, -1009, -1178?\n\"Answer: -169*o - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 63*j + 10 - 53*j + 119*j + 63.\nAnswer: 3*j + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*i + 7, 0*i + 3 = -s + i. Let c = -12 - -9. Put s, -5, c in descending order.\nAnswer: s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7177.7 and 11704447.\nAnswer: 11711624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 8*z**2 + 6*z - 4. Let y be i(-7). Suppose 0 = y*v - v. Solve -5*q = 2*w - 11, -4*w - 20 = -4*q - v*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -3. Let d = 73 + -65. Is c at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -2*r. Suppose -3*s + 5*c - 11 + 1 = 0, -4*s + 45 = 5*c. Let z = r + s. Solve 4*u = 12, 2*o - z*u - 15 = -7*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 + y - 1. Let t be w(-7). Let l = -4 - t. Let b = -87 - -115. Calculate the greatest common factor of l and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/120 + l**5\/60 - l**4\/6 - 2*l**3\/3 + 6*l**2. Factor j(w).\nAnswer: (w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13295844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343.403ng in grams?\nAnswer: 0.000001343403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t = 54*t. Suppose 5*r + 5 = 0, 2*j + t*r - 3*r = 39. Solve 2*i - 2 = 0, -j = x - 6*x - 3*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 6168, 2 in ascending order.\nAnswer: -55, 2, 6168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -77606 greater than -78049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-10)\/27 + (-8)\/36. Sort -1, 3, -2, m.\nAnswer: -2, -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -375.4556 - -383.52. What is n rounded to 2 decimal places?\nAnswer: 8.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8591 divided by -1?\nAnswer: -8591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -1 + 2\/3*b**3 + 0*b**4 + 1\/6*b**6 - 2\/5*b**5 - 1\/2*b**2 + 0*b. Factor n(i).\nAnswer: i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l + 0 - 1\/24*l**4 + 2*l**2 + 1\/2*l**3. What is the derivative of i(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 33*q**2 + 128*q + 352. Determine o(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from tpiyiypycpdyctdy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 936585575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5066 + 869*s + 5066)*(0 + 1 + 1).\nAnswer: 1738*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q**3 + 11*q + 2. Let h(c) be the first derivative of 5\/4*c**4 + 5\/2*c**2 + c - 2 + 0*c**3. Let l = 8 - 1. What is l*h(y) - 3*m(y)?\nAnswer: 2*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-7)*(-2681)\/(-766)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/60 - u**4\/8 - 4*u**3 + 45*u**2. Let r be g(9). Let y = r + -27. Solve 2*f - f = y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 806707, 808479, 810251, 812023, 813795?\n\"Answer: 1772*f + 804935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -36. Let p(w) = 3*w**2 - 67*w + 289. Let k be p(4). What is the highest common factor of v and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y)\/(y\/(y*(y\/y**(1\/5)*y)\/y))*(y**(-2))**(-9\/2) assuming y is positive.\nAnswer: y**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 67?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12634053 (base 8) to base 11.\nAnswer: -1665054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-2688)\/98)*2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003055371 rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by (156\/60)\/((-2)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12.3 (b) 0.2 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -22. 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 lowest common multiple of 70 and 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*w - 107*w - 29*w)*(-2*w + 2*w**2 + 2*w) + 0*w**3 + 0*w**3 + 2*w**3 + 4*w**3 + 0*w**3 - w**3 in the form h*w + p*w**3 + q*w**2 + s and give p.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100000 + -10?\nAnswer: -111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.992 - 0.008. Put 0, -2\/7, q, 2 in decreasing order.\nAnswer: 2, 0, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*v**3 - 113*v**3 + 12*v**3)*(-2*v - 3 + 3) as s*v**3 + w + t*v + q*v**4 + a*v**2 and give q.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 74608392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - -0.5. Let k = -648813 - -648816.99999. Let m = t - k. Round m to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 210*q + 176*q + 4.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1\/10*p**2 - 1\/60*p**4 + 0 - 2*p + 0*p**3. Factor r(c).\nAnswer: -(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**5 + 0*i**2 + 1\/30*i**6 + 1\/3*i**3 + 0 + 0*i**4 - 2*i. Find the second derivative of p(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.714 litres in millilitres?\nAnswer: 285714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 10 = -8*b. Suppose 5*z - l - 245 = 2*l, 3*l = -b*z + 215. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 1, g: 1, j: 2, p: 2}. Give prob of sequence pjpg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -35, -61, -91?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 2*l + 2. Let t(a) = 2*a**2 - 5*a - 4. Let d be t(3). Let j be d\/(-1 - 20\/(-16)). What is g(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/2*4\/7. Let r = -47.1 + 47. What is the smallest value in 0.1, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 14 = -4*b - 10*o, 0 = -3*b + 3*o + 233 - 203 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -154*s**3 + 4*s**2 - 3*s. Let b(h) = 39*h**3 - h**2. What is -9*b(d) - 2*p(d)?\nAnswer: -43*d**3 + d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1.99. Let s = 2 + -1.96. Let c = s - l. What is c rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 5*n**2 + 2*n**2 + (-1 + 1 - 2*n)*(0*n + 3*n - 2*n) + n**2 + 0*n**2 - 3*n**2 + 2*n + n**2 - 3*n**2 + 36 + 101.\nAnswer: -8*n**2 + 2*n + 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75212?\nAnswer: 2, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - c + 2*c - 2*c**2 + 0*c + (4 - 2 - 5)*(2*c**2 - 2*c**2 + c**2).\nAnswer: -5*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 28 + 77 + (-78 - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142063977 is divided by 3516?\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 - (-12 - -12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 17*y - 32*y. Let f(s) = -2*s. What is f(b(g))?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 111*o**3 + 3*o**2 + 5*o + 17. What is the units digit of a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/160*-4*36\/(-30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17740, 70554, 158430, 281368?\nAnswer: 439368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016807142 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 0*w + 49 = -24 - 32 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 + 1. Let d(s) = s**4 - 7*s**3 - 20*s**2 - 4*s + 8. Let g(r) = -2*d(r) + 22*y(r). Factor g(c).\nAnswer: -2*(c - 1)*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44997810 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 806818 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-108)*45)\/(-10). Which is the second biggest value? (a) 5 (b) 3\/10 (c) p (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 7279. Let s = -179\/11035 + 1284576179\/176560. Let m = s + q. Find the common denominator of -23\/5 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 11*l**2 - 12*l - 8. Suppose 2*n - 3*n + 4*a - 18 = 0, -2*n - 3*a = 3. Let o(d) = -d**3 - d**2 + 32*d. Let f be o(n). Calculate v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*2\/(-252)*(-9821)\/16836.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 37*j**2 + 130*j + 95. Give r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*1*((-212)\/150)\/(-53))\/(68\/(-12))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 2*h - 2. Let i(m) be the first derivative of -m**3\/3 + m**2\/2 - m + 1. Suppose 0 = f - y + 4, -24*y = 5*f - 20*y + 11. Give f*c(z) + 5*i(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000063584 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*l**3*z**2 + 752*l*q*z**2 + 39948*q*z**2 - 4*z wrt l.\nAnswer: 51*l**2*z**2 + 752*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from yddvddydyy.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19038811 to the nearest integer?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h - 3*h + 2*h)*(4*h - h - h + (2*h - 2*h + h)*(-2 + 4 - 4) - 1433*h + 379*h + 231*h) in the form o*h + f*h**2 + z and give f.\nAnswer: -3292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, m - 1 = -4*j - 4*m. Let p(g) = -g**2 - 1. Let a(u) = -5*u + 6. Let i be a(2). Let x(r) = 2*r**2 + r + 3. What is i*p(s) + j*x(s)?\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150601?\nAnswer: 3150601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = p + x - 14, -2*x + 240 = 4*p. Let k(j) = j**3 - 117*j - 19. Let w be k(-11). Let d = w + p. Sort d, 2, -1, 5.\nAnswer: d, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -601 + 598 + (20 - (3 + (-3 - -2))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -92884?\nAnswer: 92885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 = 99*d - 41*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439*r**3 - 2119*r**5 + 229*r**3 + 828*r**2 + 210*r**3 wrt r.\nAnswer: -127140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*a**2 - 5 + 1679*a**2 + 5 - 484*a**2 - 734*a**2.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*(-884)\/(-6))\/(694\/(-1041)) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/2 - 2\/4. Suppose k + b - u = 0, 4*b - 91 = -9*k + 4*k. Suppose 5*z = x - 37, 0*z = -4*z. Calculate the remainder when x is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 5*j**5 + 146*j**3\/3 + 16*j**2 - 1. What is the derivative of y(u) wrt u?\nAnswer: 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - (-352 + 52)\/((-3)\/(-2)). Solve -p*r + 193*r + 11 = -a, -a + 2*r = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/n)**22*(n**(2\/5))**(-1\/2) assuming n is positive.\nAnswer: n**(-167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -429, -863, -1297, -1731, -2165?\n\"Answer: -434*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 28 - 36, -5*w = 2*p - 1563. Calculate the lowest common multiple of w and 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*t = -0*t - 492. What is the highest common factor of 316 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, u: 7, l: 2}. Give prob of picking 1 q and 3 u.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(539) + -1 + -2 + 1)**2 + 2.\nAnswer: -42*sqrt(11) + 554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*h + 2*l, 0*h + 46 = 2*h - 2*l. Calculate the least common multiple of h and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9)*-3)\/((-4)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 17}. Give prob of picking 1 v and 3 k.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*n + 30, 5*n = -16 + 1. Let v = 16 - u. Suppose 0*h + v*h = 795. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b789 (base 13) to base 10.\nAnswer: -225390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*j - 1 + 57*j - 30*j to y + p*j and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 24. Suppose 7*u - 2*u + 5*r - 170 = 0, w*r = 3*u - 67. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**3 - o**2 - o. Suppose -4*z = -z + 3. Give j(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5750?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 + r**2 + r - 2. Let n be c(1). Suppose -4*i + 23 + 56 = -3*z, -2*z = -n. Let y = i - 20. Calculate the smallest common multiple of 3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 29*m**2 + 13*m + 11463. Determine n(-37).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84707.91023 + 1514.16077. Let f = 86136 - z. Let m = f + 86. Round m to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1) + -7 + 845\/120. Let b(z) be the third derivative of 0 - 1\/21*z**3 + y*z**4 - 1\/120*z**6 + 0*z - 7*z**2 + 1\/210*z**5. Factor b(x).\nAnswer: -(x - 1)*(x + 1)*(7*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -3 (c) 0.18 (d) -33 (e) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33\/13, 30.14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(32) + -1)**2 - ((sqrt(150)*2)\/sqrt(432))**2.\nAnswer: -48*sqrt(2) + 3611\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -1049, -1032, -1009, -980, -945, -904?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-164)\/(-52) - 3) + 7071996\/26. Round b to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = c + 8, 4*c - 7*c + 4*f = 8. Let z(d) be the second derivative of 1\/2*d**3 + c - 1\/4*d**4 - 3\/10*d**5 - 13*d + 0*d**2. Factor z(k).\nAnswer: -3*k*(k + 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3942*i**3 - 2*i - 8756.\nAnswer: 23652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 0.6. Let p = 2.3 + u. Let v = 0.2 + p. What is the closest to 0 in 4, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.8 - -205.7. Let x = 4.2 - -0.8. Which is the smallest value? (a) u (b) -0.2 (c) -0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1338 - 439. Calculate the greatest common factor of 31 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7. Let r(s) be the third derivative of -184*s**2 + 0*s - 5\/24*s**4 + 0*s**3 + 0. Give l(r(u)).\nAnswer: -25*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7442, -7489, -7610, -7841, -8218?\n\"Answer: -6*r**3 - r**2 - 2*r - 7433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375238 divided by 2?\nAnswer: -187619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a day in hours?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -0.9. Which is greater: -0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 4*w - 3. Let s(m) = m**2 - m - 1. Let x(a) = -c(a) + 3*s(a). Let n be x(-1). Solve -f - 5*y - 11 = n, 2*f + y - 4*y = 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1864 - 17105?\nAnswer: -15241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15504 is divided by 15501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/9 - 16256*x\/3 - 33032192 = 0.\nAnswer: -12192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54.87445 years?\nAnswer: 5.487445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*v + 16 = 317*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i. Let o(j) = 68*j. Let k(y) = -9*a(y) - 2*o(y). Let u(n) be the first derivative of -7*n**3\/3 - 83295. Give u(k(g)).\nAnswer: -2023*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.8382 and 1.19?\nAnswer: 48.597458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3412 - -3409. What is the closest to 13 in t, -4, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g. Let n(y) = -y**3 - 18*y**2 + 21*y + 33. Let i(o) = n(o) - 6*q(o). Is i(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652951 minus -584?\nAnswer: 7653535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1872) + 2) - 1*(2 + sqrt(1872) - sqrt(1872))) + 0.\nAnswer: 6 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57251 and 3148805?\nAnswer: 3148805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-99)\/(-27) + (-14)\/21. Let v(c) = c. Let d(o) = -1. Determine b*d(g) + v(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 8*a + 3. Let i(z) = -6*z**3 + 3*z**2 + 5*z + 2. Let m be i(-2). Let y be (-4)\/5 - m\/10. What is g(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(24)\/sqrt(8))**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*y**5 - 7*y**4 + y + 39*y**5 + 7*y**4 wrt y.\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 4*d - 4*d - 3*d + 3*d - 60 to s + p*d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 = -0*v + 3*v, 0 = -2*u - 4*v + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14290 - 19890 = 155*s + 20*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - -2) + 0 + 19 + -33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2396613 or 16776288\/7?\nAnswer: 16776288\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 (base 11) in base 8?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0081 and -0.041.\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**3 - 5*v**2. Let p(l) = l**3 - l**2. Let n be (-3)\/6*1*-2. Give n*r(s) - 5*p(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - -7322?\nAnswer: 7358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-84))\/((-7)\/63)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10627344 (base 8) to base 9\nAnswer: -4303820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 8*u - 12*u**2 + (-1 - 1 + 4)*(-2*u**2 + 6*u**2 - 10 + 11))*(0*u**2 - 2*u**2 + u**2).\nAnswer: 4*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546425 divided by 53.\nAnswer: -546425\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847)*2 - (-2 + sqrt(847) + 2))**2 + ((sqrt(77) - sqrt(77)*-4)*5)\/sqrt(11)*-6.\nAnswer: -84*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118.899 nanograms in grams?\nAnswer: 0.000002118899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 43 + 162 - b - 43 - 33.\nAnswer: -b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9, f: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132.5 + -134. Let c = -1.50000079 - b. Round c to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 9) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:38 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -46, -49, -52?\n\"Answer: -3*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1398, 1397, 1396, 1395?\n\"Answer: -k + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plbdvdtp. What is prob of picking 1 l, 1 p, 1 d, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 170*d**3 + 1 - 513*d**3 + 7*d**2.\nAnswer: -343*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 5}. Give prob of sequence dm.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -7*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -76, -114, -152, -190?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-36)*13 + (-1 - -1) and 57\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-12)\/(96\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 4. Suppose 6 = 3*x - 0, 2*x = p*i - 28. Solve i = -5*t - j, -4*j + 2 = -2*t - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 19*q - 63. Suppose -10*k + 249 - q = 0. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2)*11714\/(-3))\/(-1). Let a = u - 3354. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3222*t - 3317*t - 3264*t - 3291*t + 16833*t - 3324*t.\nAnswer: 415*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -10 (c) 470549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 28*l + 5*l as b + t*l and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + 15 + 616\/614. Is -1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*r + 3 - 6*r in the form g + j*r and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*t + 1796*t + 247*t + 833*t.\nAnswer: 2429*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3168 = 2*j, -5*j + 2*g + 7005 = -903. Let t = -938 + j. What are the prime factors of t?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1275502ms in minutes?\nAnswer: 0.00003545917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1273 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3\/6*2. Let u(n) = -n**2 + n + 35. Let l be u(o). Let s = -974 - -1009. Is l at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5308\/5 + 1061. Which is the biggest value? (a) 4\/7 (b) -0.3 (c) -58 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2. Let c(p) be the third derivative of -p**7\/840 + p**6\/45 - p**4 - 3*p**2 + 3. Let n(u) be the second derivative of c(u). Give n(z(x)).\nAnswer: -3*x**4 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 242881 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 114478667269?\nAnswer: 114478667272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156895 = 3*l + 2*h + 3*h, -2*h - 52298 = l. What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 3*a**4\/2 - 2*a**3\/3 - 5*a**2\/2 + 3*a + 3. Let x(m) = m**3 - m**2 - m + 1. Let y(v) = 3*q(v) - 6*x(v). Factor y(z).\nAnswer: 3*(z + 1)*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 + 123300*p**3 + 369894*p**2 + 369892*p + 123297 = 0. What is p?\nAnswer: -123297, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 greater than -0.93839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5*l - 3. Let q be f(6). Suppose -35 = -2*t - q*b, 3*t + b = 2*b + 69. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1079, -3304, -5515, -7706, -9871?\n\"Answer: i**3 + i**2 - 2235*i + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164779328 by -7.\nAnswer: -23539904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from xpmmxxpxxmxm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -514602\/29 - -10027946\/493. Let d be 1\/4 + 10375\/4. Let o = m - d. Calculate the common denominator of 17\/5 and o.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (86 - 21) + -20 - 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 77.\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 344 = -26*h. Solve h*r - 28*r + 45 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 93271.51 milligrams?\nAnswer: 93.27151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1766*x - 9936. What is the tens digit of z(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8559 from -134674092295.\nAnswer: -134674083736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -11*w**5\/20 - 13*w**3\/3 + 12*w - 127. Let h(v) = -7*v**3 - 17*v. Calculate 5*f(o) - 8*h(o).\nAnswer: o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) 4 (c) -14 (d) 0 (e) 24.14 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*0.59\nAnswer: -0.3068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17178 (base 9) to base 2.\nAnswer: -10111000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:02 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3238763228?\nAnswer: 2, 17, 59, 269, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 3084 = 715. What is the remainder when 143 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21635, 3, 99\/23, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444*t**5 + 557*t wrt t.\nAnswer: 8880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 12*i - 60. Let m(h) = 5*h**2 + 35*h + 180. Let b(u) = -11*a(u) - 4*m(u). What is the units digit of b(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683924 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3\/4 - 50675025*h**2\/4 - 101350041*h\/4 - 50675019\/4 = 0.\nAnswer: -16891673, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2*m + 1. Let b(c) = 9*c**2 + 10*c - 13. Calculate -b(j) - 6*q(j).\nAnswer: -3*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1816904.2117 and -3.\nAnswer: -1816907.2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048 and 617595832.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54299*c - 2*t = -54264*c - 25, 2*t = -4*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 + 22*p - 22. List the prime factors of z(8).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - n**2 - n**2 + (-2 + 2 + 2*n)*(-1 + 1 + 2*n) - n**2 + 2*n**2 + 0*n**2 + (48*n**2 - 3*n**2 + 24*n**2)*(-3 + 3 - 1).\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g - 93. Calculate the least common multiple of 100 and p(-7).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58292 + 143889. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 14*b**2 - 14*b - 11. Let h be r(15). Let a(f) = -10*f**3 + 2*f + 1. Let v be a(-1). Solve -h*x = -x + v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 4*c + 14*c - 8*c - 2*c**3 + c**3 as z*c**3 + v*c + k + s*c**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615 - 159 = -34*i - 4*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 70425*p - 70415. Determine j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 + 26 = 0. Suppose 9*f - 4*f = h, -2*x + 5*f = 5. What is the remainder when -2 + 4 - -9 - x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31965409 divided by 4201.\nAnswer: -7609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + 5*j**3 - 15*j**3 + 94 - 184.\nAnswer: -10*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.715 + 48.715. Let b = 0.5 - 0.6. What is the second smallest value in b, q, -3\/23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38190 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -36, -0.12, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -u - 5, -y + 2*y + 15 = -3*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3042 and 105\/338.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6528\/(-122400)*(-25)\/14.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100 + -1011100011100110?\nAnswer: -1011100110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 860.7 and 163860.\nAnswer: 141034302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7696000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Let r be -1 + 2\/(4\/t). Let l(k) = -k**3 - 2*k**2 + 3*k + 3. Determine l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 10 = 5*r. Sort -3, -4, r in decreasing order.\nAnswer: -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-540)\/(-140) - 1\/(-7). Suppose -6*c = -i*y - c + 331, 4*y - 381 = -5*c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 129 - 498 = k, 359 = -k - 5*n. Let f = k - -2690. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d + 2. Let r = -99 + 54. Let k be 153\/r - (-4)\/10. Let q be h(k). Solve 0*s = -q*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3533245 and 3015.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1530*m + 1. Let h(s) = 26*s - 57*s + 0*s**2 - 2*s**2 + 31*s. What is o(h(c))?\nAnswer: 3060*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-41246)\/(-2515))\/((0 - 1)\/(-30)). Calculate the greatest common factor of k and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/7 + -1)\/(33\/(-264)). Factor 10\/7*x**2 - 8\/7 + g*x.\nAnswer: 2*(x + 2)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - r + 2 + (1 - r - 1)*(0 + 2 + 0))*(-3*r - 5*r + r + r - 3*r + 3*r + (5 - 1 - 3)*(3 - 3 + 2*r)) to the form i + w*r**2 + l*r and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28\/1349 + -33539\/138947. What is the common denominator of v and -17\/7?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876 and 1301298?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 15562?\nAnswer: 15566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + z - 9, 3*z - 12 = -3*k - 3. Suppose 0 = 5*m - 0*s - 2*s - 2, 0 = k*m - 4*s + 10. Differentiate n**m + 2 - 3*n**2 + n**2 with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10161 divided by -4.\nAnswer: -10161\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvv when three letters picked without replacement from {v: 10, r: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2800216\/5505 - 1526\/3. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 506, 483, 460, 437, 414?\n\"Answer: -23*s + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -3*n. Let s = 8 - n. Suppose 0 = -s*c + 45 + 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(408)*-1 + sqrt(408))*-1)\/(2*(sqrt(12) - -2*sqrt(12))))\/(-1*-2*-2*sqrt(242))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h**2 - h**2 + 4*h**2)*(-h**2 + 3*h**2 + 0*h**2) - h + h - h**4)*(-5*h + 0*h - 4*h).\nAnswer: -27*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:16 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:20 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 571 + 1526. Suppose -i = -5*u + 37. Let d = -44 + u. Solve -3*a - 18 = -4*t, a - 3*a + 2*t - d = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let l = g + 0. Suppose -200471*d + 845 = -200302*d. Solve -4*v + 9 = d*h - 0*h, -4*v - 2*h - 6 = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*o - 25, 12*o = 4*s + 9*o - 146. Suppose 0 = 887*k - 880*k - s. Solve -k*y + 5*j + 2 = -3, 22 = -3*y - 2*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8789360 by 1.\nAnswer: -8789360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 1488*r**3 - 185994*r**2 - 367536*r - 183027.\nAnswer: -3*(r + 1)**2*(r + 247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-113)\/(-22374)*11187)\/(2\/4).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 11 + 89)*(5 - 3 - 3)*(0*v - v + 4*v).\nAnswer: -405*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -2, -5*y = j - 17. Let u be 1 - (j + -3) - -3853. What is u rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p - 5*v + 155, -5*v = -2*p + 48. Sort -4, 2, p.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32213, 34397, 38051, 43187, 49817, 57953, 67607, 78791?\nAnswer: 91517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4005300 (base 7) to base 6\nAnswer: -14043150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = -4*m - 3, 0 = 3*m + 9. Suppose -o = -p*o + 4. Factor 3*w + 2*w**o - 2 - 3*w.\nAnswer: 2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3939*-2\nAnswer: -7878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511023 <= 1511026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.08967 nanograms to milligrams.\nAnswer: 0.00000108967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7697 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00622621936 to 5 decimal places.\nAnswer: -0.00623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**3 + 0*d**3 - 5*d**3)*(-d - 46*d**2 + 22*d**2 + 5*d**2).\nAnswer: -19*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 3*h**5\/10 - h**4\/6 + 23*h**3\/6 + 3*h**2 - 209*h. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 - r. Let p be k(-3). Let z = 111 - -57. Suppose -h - 5*b - z = -p*h, -2*h + b = -168. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*i + 15, -6*j + 2*j = -3*i - 12. What is the remainder when 39 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 1758 = 1928 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1024, 1020, 1008, 982, 936, 864, 760, 618?\n\"Answer: -v**3 + 2*v**2 - 3*v + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 5*r + 7230 - 7242, z + 3 = r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 69*o - 89. Let q be m(-24). Let f(s) = s + 6. Give f(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -5.5. Let u = -2038 - -2035. Put z, 2, u in descending order.\nAnswer: 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 213918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14803660?\nAnswer: 2, 5, 19, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 856\/12 - 4\/(-6). Suppose 5*s = -20, -2*q + 6*q + b = -3*s. Let i be ((-15)\/(-10))\/(q\/4). Which is bigger: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 443?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 3. Let y be o(-3). Suppose 0*m + 2*m - 60 = y. Solve 4*a = -0*w + 3*w - 4, -5*w - 5*a = -m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(-4\/23)*c)\/c)*c)*c**(-18\/7))\/(c**(1\/16)\/c*c*c\/((c\/(c\/(c*c\/(c*c**31))))\/c)))**(-10\/11) assuming c is positive.\nAnswer: c**(461205\/14168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -970 divided by 6\nAnswer: -485\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007753972 to six dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 189 = 4*i, 3*i = -14 + 2. Suppose p + 5*n - h = 0, 4*p - n = 17 + 42. 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 hundreds digit of 27167246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**4 + 66*v**2 - 210.\nAnswer: -4*v**3 + 132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g. Let s(i) = -i + 3*i + g*i. Let z(r) be the second derivative of -r**4\/12 - 7*r. Give z(s(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 7*z**5\/10 + z**3\/3 + z**2\/2 - 2*z. Let q be g(-1). Let f be (0 - q) + 3 - -2. Solve 7*x = 3*x - f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*a**2 - 131*a**2 + 61*a**2 - 24*a)*(1 - a - 1).\nAnswer: 15*a**3 + 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(468))**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - (0 + -1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -504 - 192*z**2 + z**3 + 503 + 233*z + 192*z**2 as r*z**3 + w*z + q*z**2 + b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1280.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2426 - 154 = -13*k - 30*k for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*l**2 + 4 + 50*l**2 - 4.\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgwg when four letters picked without replacement from jjjjxjbbgbujgjjgwj.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 2*z + 35. Determine o(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24403 (base 12) to base 8.\nAnswer: -137503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*r + 32349, -2*r - 4487 = 2*i - 17427. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 456.6142ns?\nAnswer: 0.4566142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 13, -5 in increasing order.\nAnswer: -5, 13, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 7, m: 1, v: 4, z: 2, j: 2}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 64. Let t(k) be the third derivative of -k**2 + 0 + 0*k + x*k**4 - 1\/6*k**3 - 1\/40*k**6 + 0*k**5. Find the first derivative of t(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drtt when four letters picked without replacement from {t: 4, d: 5, r: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l**2. Let o(i) = 58*i. Give f(o(j)).\nAnswer: -30276*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -111. Calculate the highest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 45 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 + 116. Suppose -4*k = -x - 623, 3*x + 776 = c*k - x. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 31.9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8114?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 6*f**2 + 2464*f - 14855. Determine x(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 534587 + -5?\nAnswer: 534582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 9*k + 5. Let g be z(7). Let n = g + 13. Suppose -4*w = -0*w + n. Which is the smallest value? (a) w (b) 2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 899174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*o + 32 = -0*o, -5*o + 16 = 2*c. Let l(q) = 43*q - 13. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*v + 11*h + 43, 19 + 15 = 2*v - 5*h - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {z: 3, p: 1, y: 1, u: 3, j: 5, k: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**2 + d**3)*(2 + 1 - 1) + (-2 - 3*d + 2)*(2*d**2 + 3*d**2 - 6*d**2) + 5 + d**3 - 5.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 41. Sort h, -2, 2.\nAnswer: h, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*110\/20*-106.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Suppose x = -x - n. Let f = x + 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1291 in descending order.\nAnswer: 1291, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-4))\/(2\/22). Suppose -2*g + r = -0*g. Suppose 3*k = -3 + g. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 2*o - 2*o**2 + 6 + 3*o**2. Suppose -s - 4*d + 7 = -2*d, 2*s = -5*d + 15. Suppose -5 = -s*u + 20. Determine k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzu when three letters picked without replacement from {z: 12, w: 1, u: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, 2, 832 in descending order.\nAnswer: 832, 279, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 2:47 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-247 + 9*v + 247).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.43 + 0.03. Let x = -341 - -2047\/6. Which is the third smallest value? (a) -4\/3 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9499215493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 9.56. Let i = -0.16 - -0.1. Let r = t - i. Sort 3, -2\/19, r in descending order.\nAnswer: 3, r, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 + w. Let v(f) = -2*f**3 - 18*f**2 - 18*f - 7. Let x(d) = 3*o(d) + v(d). Let q be 1 + 0 - (-13 + -2). Does 9 divide x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4\/3 + 32*l**3 + 100*l**2 - 400*l\/3 = 0 for l.\nAnswer: -20, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 3*u + 3*q, 0 = u - 2*q - 7. Suppose -u*x = 7*x - 1704. What are the prime factors of x?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855088*r**5 + 15*r**2 + 73*r + 17.\nAnswer: 51305280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 584 - 582. Sort -2, 4, q, -5, -3 in decreasing order.\nAnswer: 4, q, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**4 - 99*l**2 - 14*l - 510637.\nAnswer: -4*l**3 - 198*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/27 and 85\/33696?\nAnswer: 33696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1463 - -1503. Calculate the highest common divisor of m and 2120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-312)\/54 + -3 - -3. Sort 5, -5, h in descending order.\nAnswer: 5, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 7*x + 5. Let s(j) = -j**2 + 2*j - 2. Let c(r) = 4*h(r) + 11*s(r). Let k be (-26)\/(-4) - (-2)\/(-4). Let n be c(k). Are -3 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -30. Is (-4)\/o + 224\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/393359 and 145\/378.\nAnswer: 148689702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/3 - 208*u\/3 - 205 = 0.\nAnswer: -205, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 2266056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21\/4)*282\/(-47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 - 1\/270*f**5 + 1\/1080*f**6 + 0*f**3 + 0*f - 4*f**2 + 1\/216*f**4. Factor d(u).\nAnswer: u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t**4\/9 + 256*t**3\/9 - 194*t**2\/9 - 76*t\/9 = 0. Calculate t.\nAnswer: -19, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549191 a multiple of 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = 2. Suppose 2*h = 5*h, 4*n + 24 = c*h. Let b(v) = v**2 - 6. What are the prime factors of b(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - w**2 - 1 + 5*w + 0 - 2. Let a be l(7). Is 3 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*f - 179 = 100, 5*h + 2*f - 669 = 0. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) -1\/10 (c) 3 (d) 2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.818 - -95. Let w = 94.0976 + -94. Let x = w - r. What is x rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.168 and 11?\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -36, 311, 1246, 3027, 5912, 10159, 16026?\n\"Answer: 43*v**3 - 93*v**2 - 5*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1\/4, 0.3, 1\/5, 18306?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -29. Let n = -9 + x. Suppose -h - n*i + 3*i = -49, -4*h = -2*i - 178. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*u - 10*u - 78375 = 0, 0 = -n + 4*u + 19580. Suppose -11*l = -2191 - n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63325.7 rounded to the nearest 100?\nAnswer: -63300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:21 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-30) + 1688\/(-80). Suppose -3*p - 91 = 4*n, 2*n + 2*n - 4*p = -84. Let x be (1 - -1)\/(h - n). Solve -3*c + 5*b - x*b = 0, -3*c - 5*b = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 7*s**2 + 2*s - 11. Let f be a(7). Let n be 10\/4*(2 + 0). Solve -n*c = -3*h - 21, 0*c + f*c - 19 = 5*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631594?\nAnswer: 2, 31, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7*d + 2. Let s be u(-5). Let o = 12 + s. Suppose -5*q - o*l - 69 = 0, -4*l - 68 = 5*q - l. Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - z - 2. Let a be k(0). Let d be (7 - a) + (6 - 4). Suppose -d = -4*u + 569. What is the highest common divisor of 58 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238481941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 + 101. Which is smaller: -153 or z?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31031232 (base 4) to base 8.\nAnswer: -151556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41550, -41541, -41518, -41475, -41406, -41305?\n\"Answer: n**3 + n**2 - n - 41551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.72398 to two dps.\nAnswer: -11.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260.019 - 0.981. Which is greater: b or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Suppose -11*n = -9*n - 2. Let z(i) = 2*i**2 - 6*i + 24. Let j(b) = n*z(b) - 6*x(b). What is the units digit of j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/4 - 1\/2. What is the third smallest value in -14, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2\/b*b*b*b*b\/(((b\/(b*b\/(b*b**(7\/5))))\/b)\/b)*b)\/(b\/((b*b**(-2\/7))\/b))**30 assuming b is positive.\nAnswer: b**(-1084\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 - 55*i + 0 + 0 - 2. Let n be c(-6). Let k = n - 153. Round k to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o - 155. Let p be f(16). Suppose 12 = -3*d + 45. Put 2, p, d, 4 in decreasing order.\nAnswer: d, p, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -31*t - 65 - 38. Let b(x) = -9*x**3 - 7*x**2 + 4*x - 13. Let p(v) = 4*v**3 + 3*v**2 - 2*v + 6. Calculate t*b(q) - 7*p(q).\nAnswer: -q**3 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d935 (base 15) to base 5.\nAnswer: 11042300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/385500 and 61\/875.\nAnswer: 2698500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111100001 (base 2) in base 15?\nAnswer: -b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/7)\/((-6)\/105). Suppose 3*f - m = 5*p, -27 = -4*f + 3*p + 2. Solve 0 = -f*l - 5*i, -1 - 17 = -4*l + 2*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -69*z**2\/2 + 6*z - 23. Let q be a(7). List the prime factors of 3\/(27\/6)*q\/(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - (-130 + 63) - (1 + 17).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 252 - 4a79a4?\nAnswer: -4a7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 74.165?\nAnswer: -11.12475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-3 + -183*7\/(-21). Let w be 25\/125 - v\/(-10). Solve 0 = x - 3 + w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*w + w. Calculate the remainder when 98 is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) -1.7 (c) -2 (d) -3\/2 (e) 2 (f) -2.9 (g) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 24477590\nAnswer: -660894930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*(-1 - 6). Suppose x = 2*i - 53. Suppose -2*q + i = z + 10, 2*z + 5*q = 42. Solve 5*t = t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2 + 40*f - 81 - 394*f + 85*f**2 + 81 wrt f.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -5 (b) -1.64 (c) 1\/3 (d) 0.16 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -1*18\/27*(-1902)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 11. Let x be v(4). Which is the second biggest value? (a) -4 (b) 5 (c) x (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52707192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -336, -2464, -8228, -19446, -37936, -65516, -104004, -155218?\n\"Answer: -303*g**3 - 7*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - 1) + (-6851 - -6885)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfkkkkkkjfkkfkk. What is prob of picking 1 f, 1 j, and 1 k?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -241?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqrrdsrrqruulrrqqr. What is prob of picking 1 d, 1 s, and 1 u?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333856, 667636, 1001420, 1335208?\nAnswer: 1669000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j. Suppose f = -j*f + 21. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*z = -12, 4*z = -5*k + 2*k + 28. Let p be 4\/(-18) + 40\/18. Let w(o) = o - p + 2 - k. Determine w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188920 divided by -2897\nAnswer: 188920\/2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 36\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.6 and -0.046829?\nAnswer: 89.646829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/72 + (-2)\/8)\/(-2). Solve c = -6*f + 2*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, f: 1, x: 2, i: 1}. Give prob of sequence pif.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/2 + 0\/2. Suppose -23*g + 14*g + 72 = 0. Suppose m - g = -4*f - 0*f, 5*m + 23 = f. Solve -f*l = z - 14 - 3, x*l = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*t + 279. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 + 6*p - 6. Let u be t(4). Suppose -u*v + 15 + 11 = 0. Suppose -10*c + v = -87. Solve i = -i - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28058473 - -0.37474?\nAnswer: -28058472.62526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 5 in descending order.\nAnswer: 9, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 6222 + 2930. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144.9310311068 + -1290394.9310681068. Let h = 1290301 + a. Let s = 51 - h. Round s to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by 255?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000110011110001011 + -1000?\nAnswer: -1111000110011110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -3)\/3 + 3. Suppose -4*u + 2*c + 2 = -2*u, 0 = -b*u + 3*c - 3. What is the smallest common multiple of 2 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2272 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115774734221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-8*1 - -2). Let y be 34 + -2 + (n - 2). What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 390\/23627 or -1?\nAnswer: 390\/23627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302 - 1276 = 26*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -1\/60*u**5 + 3*u**2 + 0 + 0*u - 1\/6*u**3 + 1\/8*u**4. Calculate b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 91. Let a be (1\/r)\/(6\/(-180)*8). Factor 3*i**2 + 9\/4*i - a.\nAnswer: 3*(i + 1)*(4*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-3))**(9\/4))**(-2\/105))**(2\/29))**42 assuming b is positive.\nAnswer: b**(54\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-5 + (-112)\/(-35)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -1\/4, 3\/5, 4\/7, -0.3 in ascending order.\nAnswer: -0.3, -1\/4, 4\/7, 3\/5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o\/(o\/(o*(((o*o**(2\/9)*o)\/o)\/o)\/o)))\/o)\/o*o)\/o)\/(o\/o**3))\/(o**(-2\/7))**33*(o*o*o**(-9)*o*o*o**(-2\/7))**(-9) assuming o is positive.\nAnswer: o**(524\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 6)*(-22)\/(-6). Let p(c) = -5*c**2 - 2*c. Let g(j) = -49*j**2 - 21*j. Let z(q) = 2*g(q) - 21*p(q). Let x(f) = -4*f**2. Calculate w*x(s) - 6*z(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 9 - 39 = 22, 3*d + 3*s = -18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -327 + 32821?\nAnswer: 32483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c200 (base 16) to base 13.\nAnswer: 1029a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-6))\/(4\/6 - 0). Solve -4*k - 24 = 3*y + y, k = -o*y - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y = 0. Suppose 4*g - 7*g + 27 = y. Solve -q + 15 = -2*n - 2*n, 2*q + g = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (286\/(-10) + 1)\/((-3)\/(-10)). Let f be (-3)\/21 + m\/(-7). Suppose i - 43 + 4 = 0. Calculate the greatest common divisor of f and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13334 rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -118. Suppose -q - 108 + 28 = 0. Let u = s - q. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) -16 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 22*l**2 + 3226*l + 40262. Determine u(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 2687710.\nAnswer: 40315650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 4*q**2 + 8*q - 7. Let a be h(5). Let b = 2.04 - -2.96. What is the closest to -1 in b, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(-t + t + t)*(-156 + 156 + 7*t**2 + (2*t - 3*t + 0*t)*(3*t - t - 4*t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4074 (base 8) to base 13.\nAnswer: -c62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2440 and -41\/4148.\nAnswer: 41480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 15 = 5*d, -2*d = 1509*z + 4124 - 4118 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*a + 7434*a + 5288*a - 2592*a.\nAnswer: 9358*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -530, -4, -1.\nAnswer: -530, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**2 + 324*z + 33. List the prime factors of c(30).\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 93602123 = -16*w - 29212123. What is w rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 91. Let j be 49\/(-13) - (260\/(-5))\/o. Let q be (4\/(-6))\/((-2)\/(-3)). Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 + i**3\/3 - i**2 - i + 31. Suppose 0 = z + 3*p + 10, 2*z = -z - p + 10. Suppose -3*b + 2 = z. Calculate s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r - 1. Let w be z(4). Let c(k) = w*k - 63 + k**3 - k**2 + 64 + 3*k**2. Suppose f + 2*l = -l + 1, 4*l = -3*f - 2. Calculate c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172674036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211102 + -11?\nAnswer: 211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(2340\/160))\/((2*-1)\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0.05000003. Round h to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1360 and -43\/12.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 - l**2 - 4*l**2. Let m(x) = 54175840 - 8*x - 54175840. Calculate q(m(u)).\nAnswer: -896*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + y + 2. Let n(o) = o**3 - 5*o**2 + 3*o + 5. Let x be ((-10)\/(3 - (-1 - -3)))\/2. What is x*f(h) + 2*n(h)?\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 6:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3976 + -2207. Is n a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 497 + 5 + 3 + 0. Suppose 5*i = 5*u - d, 2*i + 0*i = -2*u - 198. Let l = i - -171. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3446462*k**2*p**2*x + 5*k**2*p**2 + 115*k*p**2*x - 9*k*x - 653*k + p*x wrt k?\nAnswer: -6892924*p**2*x + 10*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v. Let o(j) = -1369726*j. Give o(m(g)).\nAnswer: -6848630*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 + 5*n. Let a be -1*(-8)\/(-2)*-1. Let h be g(a). Suppose -4*o = -5*x - 28, -3*x = 3*o + 2 + h. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 470 - 5?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from iiiiikiikkiikiki?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/6 + 8)\/((-1)\/2). Which is smaller: -1\/53 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - 207. Let d = i + -38.7. Let g be (-1)\/(-4) + (0 - 0). Which is the nearest to g? (a) d (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/((-3)\/6)*2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1174 + 417 - 5698 - 4772 - p to n*p + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 5*c**2 + 3*c - 7. Let b be w(5). Suppose b*r = 26*r - 234. Solve 4*d + 0*k - k - r = 0, 0 = k + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*f + 1159, 4*m + 462 = 2*m - 2*f. Let b = 229\/2 + m. Let o = b + 120. What is the smallest value in 0.2, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 4)*(-2 - 2 + 2)*(-11 + 11 - 2*w).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*h - 2, h - 6 = -2*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5475*x + 3 - 5472*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13210321 + -10001?\nAnswer: -13220322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:50 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2. Let b(y) = -30*y. Let v(z) = 172*z + 6. Let w(h) = -5*b(h) - v(h). Give w(t(s)).\nAnswer: 154*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53311610 (base 7) to base 12.\nAnswer: -1622168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17280 + -12520. Is c a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-5*t**2 - t - 2 + 4 - 3).\nAnswer: -5*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqmnn. What is prob of picking 1 q and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/24 - 2*o**3\/3 - 22*o**2. Let d be b(-14). Let l be 10\/(-8)*(-4)\/d*6. Solve -3*c = -7*c - u + 3, -3 = l*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 2:12 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -111*s - 403. What is a(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 72 - 78 = 0. Solve -v - 7 = 2*w - 3, 0 = -5*w - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 490*h + 11. Let v(z) = 495*z + 16. Calculate 6*o(s) - 4*v(s).\nAnswer: 960*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 2 + 4 - 3*x. Let t = -23 + 19. Let l(m) = -6*m + 3. Determine t*w(v) + 3*l(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 8*k + 4 = -4*k, -5*k = -i - 26 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from gnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1 = -5. Let z(n) = 12 + 6*n - 4*n**2 + 3*n**2 - 5*n. What is the lowest common multiple of b and z(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 8*d + 0*d + 0*d to v*d + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 2*v + 6*v**2 - 9 - v**3 + 0*v**3. Let c be j(-6). Let z = -2 + c. Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(-3*(sqrt(108) + 1) + sqrt(108)))**2.\nAnswer: 1632*sqrt(3) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16*d - 2736 = 13*d, -t = -5*d - 912. Calculate the remainder when t is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 193398*a**2 - 2*a - 193398.\nAnswer: 2*(a - 1)*(a + 1)*(a + 96699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + 29 + 168\/(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 3*m - 7*m. Suppose 3*a + m = 3*y - 5, -2*y + 3*a = -25. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.957041nm?\nAnswer: 0.000000000005957041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 + 1 = 0. What are the prime factors of (12 + -11)\/(x\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, -3, 32 in ascending order.\nAnswer: -3, 2, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237 - 258. Let w = 19 + u. Let q(y) = 5*y**2 + 11. Let t(j) = -j**2 - 2. Determine w*q(o) - 11*t(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 723, 900, 1081, 1266, 1455, 1648, 1845?\n\"Answer: 2*h**2 + 171*h + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:34 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 40 + 473 = 0. Suppose 2*y + 20 = -5*k + 8, 0 = -5*y - 5*k - 30. Let j be ((-2)\/(-3))\/(y\/(-171)). Calculate the greatest common factor of o and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/6)\/4*-3. Suppose -s*q - 33 = -3*i - 0*i, 0 = -5*q. Let g(y) = 5*y + 4. Calculate the remainder when g(3) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 20. Determine h(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 - 68*b - 29 - 28 to the form z + c*b and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 - 6*n + 1. Let b(m) = -2*m - 5*m**3 + 0*m**2 - 3 - 2*m - 10*m**2 + 8*m**2. Let x be b(-1). Calculate v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(68)*-1 + sqrt(68)) + sqrt(68))\/(-5*sqrt(12)\/sqrt(3)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) -0.4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-4) - (-6)\/24. Suppose -5*j + 412 = 4*o, -v*o + 5*o - 3*j = 282. Let z = -33 + o. What is the greatest common factor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f + 3*f)*(-2 - 2*f**2 + 2)*(-192*f - 190*f - 77*f + f**2).\nAnswer: -4*f**5 + 1836*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3230447 - -4?\nAnswer: -3230443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -17982, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 266 (b) -3 (c) -2\/7 (d) 0 (e) -353\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 + 2. Let z be k(3). Suppose z*y - 2*o - 16 = 0, -y = -2*o - 7 - 5. Suppose 5*a + y*q = 40, -a - 4*a - 2*q = -40. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*d**5*u**2 - 2*d**3*u**3 + d**2*u + 41*d**2 + 2*u**3 wrt d.\nAnswer: 6900*d**2*u**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s + 539 - 265 - 273 + 8*s**2 in the form x*s**2 + b + h*s and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 - (-2)\/2. Let z(q) = -q**2 - 7*q - 3. Let d be z(-6). Let y = d - 0. Is j at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653943.\nAnswer: 3, 217981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - 21*t + 13. Give i(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 2*h = -12*c + 2286, 5*h - 1695 = -3*c. What are the prime factors of c?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47)\/((-564)\/72) - -148885 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305116 and 1428?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -3, -108, 1.3112 in increasing order.\nAnswer: -108, -3, 2\/15, 1.3112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7348507123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16830 = n - p + 16827, 7*n = -p - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 0*c + 5*c**2 - 3 - 2*c**2 - 4*c**2. Let k = -306 - -303. What is y(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 3*k + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-21) - (-405)\/(-21). Let w = 6 - z. Let r = w - -31. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 35*p**3 + 140*p**2 - 560*p - 2240. Let s(l) = 5*l**3 + 20*l**2 - 80*l - 320. Let t(x) = -2*j(x) + 15*s(x). Factor t(m).\nAnswer: 5*(m - 4)*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -20*t + 34. Let h be a(2). Let j be ((-396)\/72)\/(3\/h). Solve -j = 3*g + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5482 + 951*k**3 - 2*k**2 + 5457 - 10939 + k + 178*k**3 in the form n*k**2 + w*k + l + r*k**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -153*d + 136. Is 92 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -818 - 370?\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (60*7)\/(-4)*(-4)\/3. Suppose r = 4*q - 40. Let u be (-2)\/((-12)\/(-3)) - q\/(-10). Solve 5*s + f - u*f - 28 = 0, -2*f = 5*s - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471, 414, 269, -6, -453, -1114?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let q(a) = 78*a + 894. Calculate q(z(j)).\nAnswer: -78*j**2 + 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 17 = 3*c - 3*i, 0 = -4*c - 4*i + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z - 29*z - 70 = 43*z. Suppose 0 = -5*p + 4*r + 76, -3*p + r = 3*r - 28. Solve -m + 2 = 4*t - z*t, -2*m + p = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 20, 65, 128, 209?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-72)\/(-32)*(6 + 16872\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**4 - 10 - 2*l + 10)*(2*l - 4*l + 3*l + (-1 + 4 - 2)*(2 - 2 - 2*l))*(2 + 1 + 1).\nAnswer: 44*l**5 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1220112101200?\nAnswer: -1220112101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26333544155 - 829.8.\nAnswer: 26333543325.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11764769 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1 - 3 - 3 + f - f**2 + 5 - 2. Suppose -3*a + 4*a + 9 = 0. Let c = -6 - a. Give v(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/(-24) - (-2)\/12. Suppose 0 = z*j - 8. Factor 10*s**j + 3*s**3 + 5*s**2 - 9*s**2.\nAnswer: 3*s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -13476.\nAnswer: -6738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*r + 37*r - 656571 = -665817 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -2\/9 (c) -1\/4 (d) 0.0596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.9342km in millimeters?\nAnswer: 157934200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/4557*-42)\/((-220)\/14).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*r + 18 + 0 = 0, 3*r = -6. Let h = 67 + -334\/5. Which is the biggest value? (a) -17 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (12 + -1 + -1). Let b(y) = -10*y + y**2 - 5 - 5*y**2 + 3*y**2. Let r be b(h). Solve -r*f - 3*q + 23 = f, 0 = -4*f - q + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 20. Suppose 0 = 3*c + c + 20. Let h(i) = 2*i + 10. Let q(w) = c*h(w) + 3*t(w). Is q(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose 3*k = 2*b + 6, -2*b - 7 = -t*b - k. Factor -24*m**2 - 14*m**b + 0*m + 4*m + m + 3*m.\nAnswer: -2*m*(m + 2)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538570639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 3943*i\/4 - 208264.\nAnswer: -(i - 3719)*(i - 224)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 329326711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + i**3 + 760*i - 4 - 2*i**2 + 7 - 757*i to the form o*i + a*i**2 + v*i**3 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 11.59 and 2346\/41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/8 (b) -0.05 (c) 5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, -4*n + 168 = -5*l - 48. Suppose -5*t + n + 26 = 0. Let v = 29 - t. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 40. What is the third derivative of 6*a**2 - 12*a**2 + 8*a**q - 7*a**5 - 2*a**5 wrt a?\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*g**2*k - 774306*g**2 - 59*g + 37176*k wrt g.\nAnswer: 654*k - 1548612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 177, 5 in ascending order.\nAnswer: -5, 0.4, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109448221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*y + 3*y - 3*y + 1136*y**2 - 1162*y**2 to f*y**2 + h*y + o and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16135 + -7802. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(((-165)\/180)\/(35\/(-140))).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/((16\/20)\/2). Let k = -45 - c. Let x(h) = h + 4. Calculate the remainder when k is divided by x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -7 (c) 2\/11 (d) 0.5 (e) -188\/5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = t - 4*t. Let u = -14 + t. Solve -h + 4*n = -6*h + u, 4*n = -2*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32000*396\/(-27)*21. What is c rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1844, -3690, -5536, -7382?\nAnswer: -9228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j + 92 = 2*k, j = 5*k - 185. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 31 + 33 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*k = -15. Let c(w) = w - 1. Let o be c(4). Suppose -k*j = -4*i + 325, -o*i - 2*j = 15 - 246. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = 51. Calculate the remainder when 31 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98293?\nAnswer: 13, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 76?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and 16\/219.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*c - 5*c. Let l be 17 + 1 + 5 + -1. Let n be 2324\/77 - 4\/l. What is the greatest common divisor of n and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10*-23)\/((-221)\/(-85) + 1*-3) is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 19 + -18 - -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let a = 0 + h. Suppose k - 836 = -a*k. Calculate the greatest common divisor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 5*d + 2. Let u(v) = v**3 + 4*v**2 + 3*v + 3. Let p be u(-3). Let g = 0 + p. What is the units digit of s(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13079 is divided by 813.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*j + 20 - 20 + (0*j + 0*j - 2*j)*(1 + 4 + 4)*(-2 + 3 - 3) to the form v*j + l and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + w = 71, 3*w + 1708 = 3*u + 1651 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (6 + 5 - 3). Suppose 3*l - 14 = 1. Solve -s*i + l = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(2*(-1)\/61) and (-1)\/(-8) - ((-666)\/48 + 13).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pveppetjpetv. Give prob of picking 1 e, 1 p, and 1 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9171 - -18847. Does 41 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + g**3\/6 + 17*g**2 + 126*g - 17. Calculate p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.8. Let b = y + 0.4. Let u = b + 0.024. Round u to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303.9 * -1.9\nAnswer: 577.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 5*j**4\/24 - 3*j**3\/2 - 9*j**2\/2 - 2. Let r(d) be the second derivative of o(d). What is the first derivative of r(b) wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/132251 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 + 15*k)*(4 + k**3 - 2 + 0*k**3).\nAnswer: 15*k**4 + 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, x: 10, e: 2}. Give prob of picking 3 x.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.6 + 16. Let t = 1.6 + r. Sort -2, 1\/7, t in descending order.\nAnswer: t, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2853287 and 8.\nAnswer: 22826296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10 + (6 - 582\/(-100)) and -67\/350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -27*b**5\/5 + 7*b**4\/4 - 114*b. What is the third derivative of p(a) wrt a?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -2. Let i be -7 + (-534)\/(-78) + 0. What is the nearest to f in 2, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 969*c - 8. Let h be d(-19). Let w = -13115 - h. List the prime factors of (-2)\/5 + w\/85.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.029682 - -1385.259682. Let n = l - 1477.2. Let j = 93 + n. What is j rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from hmmmlmmmlclclmm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(605) + -5)**2.\nAnswer: 22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 16 + 24. What is the remainder when 58 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -210 (b) -607 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*v**3 + 534 - 2892*v**4 - 68*v**3 + 54*v**3 + 4805 wrt v?\nAnswer: -11568*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 184168543?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15*v**24*(v**(-11))**(6\/7))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 17*z + 4. Let m(h) = -2*h**2. Determine -8*m(u) - t(u).\nAnswer: 6*u**2 + 17*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4773 (b) -4 (c) -0.04 (d) -0.056 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b - -5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*x - 8 = 17, 0 = -5*z + 4*x + 31. Which is smaller: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = h, x + 4*x - 5*h = 90. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13039 - -28008. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -712, -1417, -2100, -2749, -3352?\n\"Answer: 2*p**3 - p**2 - 716*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 + m. Let p be r(2). Factor 0*y**3 - 3*y**2 + 3*y**3 + p*y**2 - 4*y**3.\nAnswer: -y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:05 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35860972 to the power of 1\/2, to the nearest integer?\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 608\/(-3192)*42\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -w + 2*r, -5*w + 3*r + 3 = 0. Let c(z) = 6*z. Let b(a) = -a + 3*a + 11*a. Let u(y) = w*b(y) - 7*c(y). Let p(m) = -m**2. Give p(u(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21*l**2 + 11*l - 16. List the prime factors of o(11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 2850*d**3 + 2857*d**3 - 4*d.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-259)\/(-185). Let p be -1 + z + (-1)\/(-3)*0. Is (p + -118)*632\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 249081.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 83. Let i be ((-45)\/(-3))\/(1\/(f\/(-3))). Sort 0, -1, i in ascending order.\nAnswer: i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17424 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918631\/46*(2 - (-12)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by -55?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2256)\/(-224) + 2\/(-28). Solve 0 = w*z - 14*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/48 - (-7)\/(1764\/30). What is the nearest to -0.1 in -2, y, -4, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 386, -2, -1, -4, -3, -12 in descending order.\nAnswer: 386, 4, -1, -2, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-1875)\/(-95) + 7 + -15?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 13*u + 76. Give c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1917*k - 960*k = 963*k - 102312. Does 98 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -39. Suppose y*v - 6 = -0*v, 49 = 2*i + 5*v. Calculate the remainder when i is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 16 - 55 = 0. Let s = 38 - i. Calculate the remainder when 74 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + -2 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyj when three letters picked without replacement from tjtjtttjyjtty.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*h**4 - 41*h**3 - 43*h**2 + 6*h = 0. Calculate h.\nAnswer: -1, 0, 1\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 888407 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 36, 2\/9, -3, 16\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/14*(-91)\/(6825\/930)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004173543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162248*z + 162248*z - 222128*z**2.\nAnswer: -222128*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 42 - -6) + (-84 - -96).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1307 - -1407\/65350. Let s(d) be the second derivative of -z*d**5 + 0*d**2 + d + 0*d**3 - 1\/15*d**4 + 0. Determine u, given that s(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05257 - 0.5.\nAnswer: -0.55257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65950*f + 5 = l - 65951*f, 0 = l - 4*f - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5*r = 25, -60*r + 24 = -5*a - 56*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + l**2)*(-l - 25 - 15 - 7).\nAnswer: 2*l**3 + 94*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 43965070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 + 38782308*q + 116346897 = 0. What is q?\nAnswer: -12927433, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3028 = 4*o, -8*o + 2*j = -5*o - 2264. What is the greatest common factor of o and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371623531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7381 - -44287\/6. Which is the closest to o? (a) 3 (b) 6\/7 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 2*t**4 + t**4 + (-3*t**2 + 4*t**2 + t**2)*(t - 2*t**2 - t) + 449*t**4 - 276*t + 276*t.\nAnswer: 446*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15908 - s - 15908.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10\/3)\/(b**(-34)*b))\/(b**36*b\/b**(-1\/26)) assuming b is positive.\nAnswer: b**(-575\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88740 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1522 - 1862. Which is greater: -339 or p?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 116507202, 116507199, 116507194, 116507187, 116507178, 116507167, 116507154?\n\"Answer: -k**2 + 116507203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 - 1\/(-2). Let z be y + (-2)\/2*-3. Solve -16 = z*d - 4*b, -b - 2*b = 5*d + 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19066)\/10)\/((-8)\/10). Let l = -2400 + v. Calculate the common denominator of -4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d + 5*a = 61*d + 34*d + 14, -10*a = -3*d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522615 by -34841.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f - 5. Let j be ((-4)\/f)\/(2\/9). Suppose 16 = k + j*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -379 - -379. What is the closest to -0.1 in l, 4, 90?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 0.19.\nAnswer: 12.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 + 6*y**2 + 2*y + 1. Let r be (-60)\/(-9) - (-4)\/(-6). Let t(l) = -13*l**3 + 11*l**2 + 4*l + 2. Give r*t(n) - 11*f(n).\nAnswer: -n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-49)\/(-49)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*w - 14 = -4*l + 658, 10 = -5*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 4. Let q be b(-2). What is the highest common factor of q and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3941, 3935, 3929, 3923, 3917, 3911?\n\"Answer: -6*h + 3947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 14*j**2 + 0 - 1\/6*j**4 - j + 2\/45*j**5 + 0*j**3 + 1\/90*j**6. Factor o(k).\nAnswer: 4*k*(k - 1)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 3 - 4*l**4 - l**2 + 3*l**4 + 0*l**4 to w*l + b + y*l**3 + s*l**4 + q*l**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Solve t*a + 3*a = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 3. Let u be k(2). Suppose 5*h - 13 - 2 = -4*l, -u = -4*h - l. What are the prime factors of (-1090)\/(-14) + h\/(-7)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/3)\/(r*r*r\/r**10*r*r))\/(r**(2\/11))**(-8\/7) assuming r is positive.\nAnswer: r**(1742\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -1) + (10 - -1 - (26 + -19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from luululuu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -2) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 1000*q**3 - 28031*q**2 - 124156*q - 128172.\nAnswer: -(q - 971)*(q - 33)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54629 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 577, 2\/2447?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 10*g + 1123 - 1098 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 3. Let q(n) = n**2 - 39*n + 423. Let z be q(14). Suppose m - 7*k - z = -6*k, -203 = -3*m - k. Calculate the remainder when m is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336.83*-3.655.\nAnswer: 1231.11365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 1324 = -10466. Let u = t - -3539\/3. Let j = 35 + -49. Is u greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-6)*(-6)\/(-5). Let w(m) = -1 + u - m - 5. What are the prime factors of w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 288 = -g - 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959.832 milliseconds to nanoseconds.\nAnswer: 959832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8*(f**7*f*f)\/f*(f**(-8\/5))**5 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 23. Suppose 9*q - 4*q = -45. Let g be h(q). What is the closest to -1 in g, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 440. Let l(i) = -2*i - 4. Suppose -5*j = -4*h - 0*h - 33, 18 = -3*h - 3*j. Let o be l(h). What is the greatest common divisor of o and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 6112*s**3 - 2297788*s**2 - 28292880*s - 64033200 = 0.\nAnswer: -9, -3, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s + 0*s**4 + 3*s**2 - 1\/100*s**5 + 0 + 1\/10*s**3. Factor l(c).\nAnswer: -3*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 3. Let y be i(7). What is the units digit of (-2)\/(-6) + y\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079767832 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: Solve -154*o**2 + 341884*o - 8880 = 0 for o.\nAnswer: 2\/77, 2220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/10)*h\/(h*h**8))**(-8\/9))**(-1\/60))**(-17\/3) assuming h is positive.\nAnswer: h**(17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (27 - 19) - 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(242) + -2)*4 - ((sqrt(242) - (-1 + sqrt(242)))*5*-2)**2.\nAnswer: -132 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 12. Let b be s(-14). Suppose b*k + 162 = 11*k. Suppose -17*h - 156 = -k*h. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -114*p + 30*p + 55*p + p**2 + 31 + 29*p. Let o(m) = -3*m**2. Give t(o(r)).\nAnswer: 9*r**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 108. Let p be u(0). Let s be 1*87 - 43\/(3397\/(-711)). Calculate the greatest common factor of s and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17123 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4, 17, 0, -3 in increasing order.\nAnswer: -27, -4, -3, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8\/(-70)) + 1\/2. Let l(n) = -n**3 - 16*n**2 + 16*n + 8. What is the remainder when l(p) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -28, -39, -54, -73?\n\"Answer: -2*c**2 - c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337958651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from kaaapkaakpkappa?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -4. Let d = -3.1 - c. Let r = 193\/4 - 48. Is r equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**8\/6720 + d**7\/3360 - d**6\/1440 - d**5\/480 - 2*d**3 - 11*d. Let x(c) be the second derivative of z(c). Factor x(u).\nAnswer: u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-295 - 343*s - 292 + 587).\nAnswer: -343*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2 - (-2 - -1). Suppose 4*q - 14 = -6. Suppose q*u = a + k*a + 146, -4*a + 16 = 0. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1210 * 410.\nAnswer: 496100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:57 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -425 - -427. Suppose 5*d - 29 = -2*q + 1, -r*q - 4*d + 26 = 0. Let n(l) = -l**2 + 6*l - 4. What is n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 - 12 = 0, 0 = -3*s - d + 1. Let l(w) = 2*w**s + 4*w + 947 - 465 - 478. Let o(z) = 3*z + 3. Let h be o(-2). Determine l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685*c - 374 = -1651*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -16. Let u = 36 - n. Let k be (-3)\/(-12)*-2 + u\/26. Which is the closest to -0.2? (a) k (b) -0.06 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -16.7, 30, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 minus -1.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(-55*j + 21 - 46 + 24) + 0*j + 0*j + 3*j**2.\nAnswer: -107*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 + 131515*j**2 + 869329175*j + 59359212705 = 0.\nAnswer: -13117, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -32784\nAnswer: -16392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*x**3 + x**2 + 5979*x + 55982052 wrt x.\nAnswer: -303*x**2 + 2*x + 5979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7077829 or 7077840?\nAnswer: 7077840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 199. Let x = 126 - n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.5, -0.408?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjcjccjcchjjjc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*z = 2, 3*p = 7*z - 3*z + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33299 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*n*p**2 + 27*n*p - 147*p**2 wrt n?\nAnswer: 14*p**2 + 27*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose 0*u - w = -3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + (2 + sqrt(72) - sqrt(72)) - sqrt(72) - sqrt(72)) + sqrt(72))**2.\nAnswer: -60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-15) - (-1326)\/(-15). Let g = r + 229. Suppose -5*l = -10*l + g. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6*p + 16. Let h be v(-8). Suppose -s - 3*s = -h*s. Let 0*z**2 - 1\/3*z**3 + s*z + 0 = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**4 + o**4)*(-5*o - 8*o - 3 + 18*o).\nAnswer: -5*o**5 + 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3448 by -4.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.7, -2550, -2\/13 in ascending order.\nAnswer: -2550, -5.7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/((-1092)\/16))\/(960\/4680).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 16. Let y = w - -21. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-119))\/(2*(4 - 0)\/(-56)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f + 11. Let g be t(-6). Let p = 1 - g. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neenee. What is prob of sequence nnee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5049752?\nAnswer: 2, 109, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12093 - 25263. What is j rounded to the nearest 100?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 2*a - 40. List the prime factors of c(9).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 231 + (-2 - -6)*-1. Solve 111*q**3 + 126*q**4 + 18*q + 116*q**4 + 93*q**2 - 21*q**5 - x*q**4 = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*c - 630, 1622 - 73 = 5*n - 3*c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/4 + -7\/4. Let i = -301.6 - -331. Let l = i - 29. What is the nearest to s in l, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**42*(s**(2\/23)*s)**(-1\/28))**(-25) assuming s is positive.\nAnswer: s**(-1351775\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22511687?\nAnswer: 11, 23, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - c = 883, 2*c + 1085 = -5*g + 7*c. Let i be (-2)\/5 + (-502018)\/g. Let l = -2234 + i. Find the common denominator of l and 15\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 27\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2834 + 3012.1. Let v = g - 178. What is the closest to 2\/5 in v, 0, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496972.4 rounded to the nearest one thousand?\nAnswer: 1497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04465326 to 5 decimal places.\nAnswer: -0.04465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + h + 37 = 0, -5*l + 8*h - 258 + 345 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -264*i. Let h(q) = -45*q. What is h(u(y))?\nAnswer: 11880*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4125 + -4125. Solve c = 6*l - 3*l + 4*m + 29, 20 = -5*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/((y**(-1)*y*y)\/y))**(-23)*(y*y**(1\/7)*y)\/y**(-7) assuming y is positive.\nAnswer: y**(-419\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0479589 rounded to 4 decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 59*s**2 + 4*s + 12. Let a(d) = d. Let h be a(-2). List the prime factors of z(h).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + f + 7 = 0, -a + 2*f + 8 = 0. Suppose -3*t + 2 + 10 = 0. Suppose 84 = a*h - 0*h - 5*o, -h - t*o = -55. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f - 2*x, 0*x = 3*x + 15. Let d(p) = -p - 2. Let k(n) = n - 10. Let a(o) = 4. Let l(g) = 3*a(g) + k(g). What is f*l(q) + 4*d(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/30 - l**2\/5 + 8*l. Factor d(h).\nAnswer: 2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3174534834.\nAnswer: 2, 3, 529089139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*y**5 + 190*h**3*y**2 - 2*h**3*y + 118*h**2*y wrt y.\nAnswer: -40*h**3*y**3 + 380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416 - -414. What is the nearest to -0.2 in h, 3\/5, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 20, 24, 24, 20, 12, 0?\n\"Answer: -2*x**2 + 14*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6747320 = 6747319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-7)\/((-7)\/(-2)). Differentiate -11*m**2 - 5 + 15*m**v + 0 wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5549032 divided by -54.\nAnswer: 2774516\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 4*d + 3. Let p be y(-2). Let l = p + -6. Suppose 10 = 2*g - 2*a, 8*g - 5*g - 2*a - 18 = 0. Calculate the remainder when g is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from igcav.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -45*l**2 + 31*l + 235. What is v(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v = -266*v - 2970 + 8964 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -0.2, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/8)*f**(5\/4)\/f*f*f)\/(f\/f**(-5\/6)*(f*f**(-11))\/f) assuming f is positive.\nAnswer: f**(289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*((-2)\/(-6))\/(1\/15). What is the highest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*m + 15, 0 = 2*x + 2*x + 2*m - 18. Suppose -x*q + 76 = -14. Calculate the greatest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184628*m - 10 + 22 - 10 - 1.\nAnswer: 2184628*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*p + 34720 = 506*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -2, -1.3, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 6) + 2 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 181*b**2 + 3*b. Let g be u(5). Let t = g + -63589\/14. What is the common denominator of t and -3\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - l - 7620. Suppose 0 = 4*b + i - 944 - 321, 2*i = -4*b + l. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-3))\/((-6)\/18). Suppose -2*y + 7*u + 30 = 11*u, 0 = 2*u - c. Calculate the remainder when 33 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329280.\nAnswer: 2, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -943.297 and -0.416955236.\nAnswer: -943.713955236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5930 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: Let t be -4 - ((-12)\/8)\/(45\/(-75100040))*-3. What is t rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -80 and 0.3.\nAnswer: -79.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1316 = 16*f + 31*f. Calculate the smallest common multiple of f and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2056504 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.3 + 41. Put 11, x, 0.5 in descending order.\nAnswer: 11, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1\/5, -0.4, -28, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 7.\nAnswer: 0, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-63)\/(-42))\/((-6)\/(-16)). Suppose 3*j = -v*c - 2, -2*j - 4*c + 9*c + 14 = 0. Solve j*d + 5 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-111)\/(-7) - (2\/8 - 858\/2184). Solve h = -2*w - 2*a, -w - 25*a = -28*a for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182\/(-9*16\/(-9144))?\nAnswer: 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let c(y) = 7*y - 8. Let g(m) = c(m) + 4*w(m). Let l(t) = 7*t - 9. Suppose 5*n - 1 = -26. Calculate n*g(a) + 2*l(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/((-1924)\/(-360)) - 5\/(-65).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1921 - -1922.943. Let v = 0.057 + b. What is the smallest value in v, 1, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 105. Let o(r) = -5*r + 4. Let n be 2\/(-6) + (-8)\/3. Let u(s) = 9*s - 7. Give n*u(x) + z*o(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279.39 + 283. Let w = p + -0.61. What is the nearest to w in -1, -5\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*i + 16. Let w be (-3)\/((-3)\/i + 50\/(-20)). Suppose -p = w*b + 4497, p + 1497 = -2*b + b. What is b rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, -214, -2 in ascending order.\nAnswer: -214, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.936 and -418.\nAnswer: -6243.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(88) + -1*sqrt(88) + sqrt(88))\/sqrt(8)*4.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**2 - 2*c**2 + ((4*c**2 - c**2 - 5*c**2)*(1 + 1 - 4) - 88*c + 88*c - 10*c**2)*(-5*c + 8*c + 5*c).\nAnswer: -47*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -66. Let x(n) = n**3 - 10*n**2 + 21. What is x(p)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13285.\nAnswer: 5, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (1 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {o: 7, k: 7, b: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 56*c**2 + 28*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-24 + 0 + 48 + -58)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312716?\nAnswer: 2, 78179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from uuebuvuueuuuub.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 43, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u + 4*u + 0*u)*(-59*u**2 + 120*u**2 - 59*u**2) + 0*u**3 - 2*u**3 + 5*u**3 as s*u**3 + h*u**2 + n + y*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 12) + -3 - (-88 - 0)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/85, 5\/3, 0.5?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/105 (c) 0.9 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0 (c) -73843 (d) 26\/3 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -572.9 (c) -14 (d) -5 (e) 0 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 - c - 2. Let s be (0\/6)\/1 - 3. Let v(q) be the first derivative of 1\/4*q**4 + q + 0*q**2 - 17 + 0*q**3. Calculate s*v(d) - t(d).\nAnswer: 2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82668185 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 1103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**5\/r)\/r)**(-2\/7))**(-17))**(2\/87) assuming r is positive.\nAnswer: r**(272\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14742\/737 or -19?\nAnswer: -14742\/737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 45 = -14 - 251 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 9*v - 1. What is g(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l + 40 = 57*l. What is the remainder when 68 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5890?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20838?\nAnswer: 2, 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*n - 670*n + 112*n = 34864 + 35040 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 != 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 607 + 4597 = 0. Let q = m - -1981. What is the derivative of -651*n - n**4 + q*n - 34 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 5*u**2 + 27*u + 10. Let x = -229 + 234. Let f(s) = -3*s**3 - 9*s**2 + 40*s + 15. Let m(p) = x*f(p) - 7*h(p). What is m(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15573734801 and 6?\nAnswer: 15573734807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-30) + -3 + 84\/20. Suppose 11 = 7*i - 6*i - 2*w, -g*w + 9 = 3*i. Solve i*c - 16 = 2*t, 3*c - 14 = -c + 2*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 1 - 5)*(-1 - 2 + 2) - 1 + 12 + 14)*(-3*a - 3*a + 4*a + (3 + 2 - 2)*(a - a + 2*a)).\nAnswer: 92*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 18*g + 48 - 85.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49727*j - 49211*j = -18576 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1652\/8965 + -2\/815. Let f = -2 + -3. Sort -6, f, m.\nAnswer: -6, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-30)\/(-165)*11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -0.16. Let d = -0.1 - z. Let b = -3336 - -3335.951. Is d at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 56*j**2 + 174*j - 59. Give m(53).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.241129 - -5.\nAnswer: 4.758871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 1 - 2 + 4 + 1 - 1 + 1 - 5 + (-1 - 1 + 1)*(2 - 4 + 1))*(4*d**2 - 2*d**2 - d**2).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - 15. Let d = -21 - z. Which is smaller: -2\/5 or d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-48) + 869\/1122. Suppose -120\/17*l**2 + 108\/17*l**3 - 26\/17*l**4 + 0 + g*l = 0. What is l?\nAnswer: 0, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 2:18 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:28 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 372 + -370. What is the nearest to u in -2\/7, -1, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11008\/3 - 3722. Let f = p - -52. Suppose 0*t = 8*t - 24. What is the second biggest value in t, 5, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p - 296 = 18*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 - 16 = 0. Suppose -5*k - 1 + 21 = -2*d, -2*d = 2*k - u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2913 rounded to 2 dps?\nAnswer: -4.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/5)\/(1\/20). Suppose b - 8 = g. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -8*f - 4. Put f, -5, 1, 4 in ascending order.\nAnswer: -5, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2956 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 35 - 67 = 0. Find the common denominator of (-17)\/d - (-46)\/(-40) and 103\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.15?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 36 = 4*i. Suppose -i*q + 25 = -2*q. What is the smallest common multiple of 2 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 39*t**2 - 111*t - 128. Is y(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491256069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1396922*b**3 + 698793*b**3 + 698100*b**3.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4\/2 - 6*n**3 - 135*n**2\/2 + 294*n - 294 = 0.\nAnswer: -7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*k - 25. Let v = k + -13. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 + -187. What is the smallest common multiple of s and 22?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 119.6 and -0.3.\nAnswer: 119.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9152 and 117298896.\nAnswer: 469195584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3497 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n + n)*(n**2 - 7*n**2 + 2*n**2 + (-2*n + 4*n - n)*(-4*n + 0*n + 2*n) - 4*n**2 - 3*n**2 + 5*n**2 - n**2 - n + n)*(7*n**2 - 57*n + 57*n).\nAnswer: -63*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-113 - 1)*(-1)\/3. Suppose -4*v - 6*p + q = -3*p, -2*v = -2*p - 12. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*b = z + 7, -5*z + b - 77 = 0. Let u = -9 - z. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n**4 + 28*n**2 + 0 + 7\/30*n**5 + 1\/3*n**3 + 0*n. Let w(t) = -t**2. Determine r(w(p)).\nAnswer: 14*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 39. Determine d(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923463761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 3. Let d be g(-2). Suppose -5*r + d*r = 0. Suppose 4*k + 91 = 3*p, 3*k + r + 12 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 75*s**2 + 3960*s + 70180 = 0. Calculate s.\nAnswer: -22, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 + 165 = -28*a + 193 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1)*(15 - 1). Suppose -2*y + x = 2*c, 4 = 3*c - 3*y + 1. Let g be (-10)\/(-6)*(-12)\/c. Sort 0, -2, g.\nAnswer: g, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777349 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 125951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -816 or -814?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfffffbffffccnfb. Give prob of sequence nbcb.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g - 162. Let s be p(22). Suppose -5*n + 14 + 11 = 0. Suppose -s + n = -3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:24 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (738\/(-243)*-15*3\/(-5))\/((-3)\/9).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -92.2 - 1531205721\nAnswer: -1531205813.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtqqqppppp. What is prob of picking 2 q and 2 p?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -0.2 (c) -3 (d) -0.074 (e) -2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238050 divided by 18.\nAnswer: 13225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59733363 to the nearest integer?\nAnswer: 7729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 29. Let g = 9 + x. What is the biggest value in 0.1, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times -47?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2081 and 12?\nAnswer: -24972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(684) + sqrt(684) + 1)*4 - 5*-2*sqrt(684))**2 - -3*(sqrt(684) - (1 + (sqrt(684) + 1)**2 - sqrt(684))))*-3.\nAnswer: 7776*sqrt(19) + 1976166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/460306 and 45\/242.\nAnswer: 5063366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) + 10*(-30)\/72?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101001 - -10110011011?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*q - 28*q - 13096 - 8408 = 0. What is the highest common factor of 512 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 + -0.3.\nAnswer: 137.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 737*w**3 + 0*w**2 + 2*w**4 + 2*w**2 + 2*w + 736*w**3 in the form p + n*w**4 + u*w + r*w**2 + d*w**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.48669 nanograms to kilograms.\nAnswer: 0.00000000005048669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.86 + -1.83852. Round g to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2602 divided by 1\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 2*y + 3. Determine c(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103010302222 (base 4) in base 14?\nAnswer: 94240a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 5. What is the third derivative of -3*u**b + 4*u**2 - u**6 + 0*u**2 - 5*u**2 wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 2*a**3 + 2*a**3 + (-2*a + 5 - 5)*(-3*a**2 - 2*a**2 + 4*a**2) + a**3 - a + a + 0*a + 0*a + a**3)*(4 - 2*a - 4)*(2*a - 4*a + 0*a).\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539933812 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23244?\nAnswer: 2, 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 - 3*u**3\/2 - 105*u**2 + 550*u + 1500 = 0. Calculate u.\nAnswer: -15, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5846 - 6601. Which is smaller: f or 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 618 = -2*x, -5*b + b = -2*x - 598. Let f = -218 - x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4161481, -8322960, -12484439, -16645918?\n\"Answer: -4161479*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -20\/3507513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.391km in centimeters?\nAnswer: 8539100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 1:59 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -4*w. Let p(o) = -57*o + 59*o + o**3 + 3*o**2 + o**w. Determine p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {r: 5, y: 2, z: 2, c: 4, d: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2535*b. Let t(i) = -18*i. Determine -a(u) + 6*t(u).\nAnswer: -2643*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 3696?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 185144939251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 3*m - 4. Suppose -594 = -64*n + 10*n. Calculate the remainder when z(-3) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let b(g) = -742*g - 21. Determine b(q) + 21*d(q).\nAnswer: -763*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-55) + 754020\/5900.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-9 - -5) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34 - 31) + -2*(0 - 1). Suppose g*i - 1350 = -10*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 5. Let i(n) = n**3 - 14*n**2 - 6. Let b be i(14). Calculate h(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5, y: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199240 by 680.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 3.03. Let s = d - -2.7. What is the second biggest value in s, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6810 = -860*b - 502*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 370213 less than -0.12?\nAnswer: -370213.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 5*i**2. Let r(m) = 4*m**3 - 6*m**2. Let u(s) = -7*s - 7 + 17 + 8*s. Let f be u(-4). Calculate f*t(d) + 5*r(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3865 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: b\"What is the wth term of 69897, 140573, 211249, 281925, 352601?\n\"Answer: 70676*w - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25009 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmc when three letters picked without replacement from {m: 3, f: 1, i: 3, c: 1, p: 2, o: 2}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -119*y - 333*y - 198*y - 152*y + 209*y. Let p(j) = -j**2 - 1 + 1 + 2*j**2. Calculate p(o(z)).\nAnswer: 351649*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4045*h**2*n**4 - 134879*h**2*n + 43*n**5 wrt n?\nAnswer: -48540*h**2*n**2 + 860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92 - 2?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*k + 0*k**3 + 1 + 0 - 245*k - 3*k**3 to d*k**3 + r + t*k + s*k**2 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Suppose -j*k + 82 = -77. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 20. Suppose -25 = -3*b + 2*i + s, -65 = -5*b + 5*i. Let m = b + -6. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8 + 2)\/(4\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1373394 and 2.\nAnswer: 2746788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0118961704 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 17*g**2 + 20*g + 59. What is the least common multiple of y(18) and 399?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 47 = -1007. Let q = p + 188. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*u)*((u**3 + 0 + 0)*(-3 + 2 - 1) + (3 + 3 - 1)*(5*u**3 - 2*u**3 - u**3))*(-5*u + 5*u - 3*u).\nAnswer: -48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 7 + 2*o - 6*o + 3*o. Is i(8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96670.925 rounded to the nearest one hundred?\nAnswer: 96700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 3163 - 5627 = 102*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/396*3)\/((46\/(-9))\/23).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*b + 184 = -4*b, -3*m = 4*b - 100. What is the least common multiple of 48 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - -1 - (-26 - (-11 - 42))) + 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (31050\/153)\/(-23) - (-8 + -1)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -120001110122111?\nAnswer: 120001110122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/(1\/(-7)). Suppose -2*m + 2*d = 4, 2*d - k = 4*m - 0*m. Is m at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8141592 greater than -8141592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(-23 + 2 + 5)*(-4*a + 3*a - a).\nAnswer: 128*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 93, 189, 271, 309, 273, 133?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 - -7)) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -16*h + 12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 16*q**2 + 12*q - 41. What is m(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/(8\/280).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1780, -1704, -1578, -1402, -1176, -900?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 367405091 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30089, 60179, 90269, 120359, 150449, 180539?\nAnswer: 210629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvxaxa. Give prob of picking 2 a and 1 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let c be (-5)\/(10\/(-52)) - -1. Let a(x) = x**2 - 4*x - 7. Let b be a(6). Solve r + 13 + 13 = 5*k, 0 = -b*k + z*r + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2367185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214697 is divided by 88587.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/23 and 1\/52.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let k be s(-3). Let u = 25006\/5467 + -2\/781. Let a = -33\/7 + u. What is the smallest value in -3, k, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15110 is divided by 2339.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48459 and 91.\nAnswer: 48550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81202 is divided by 137.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302410471 is divided by 2097.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 - j. Let q(y) = -y - 1. Let u be q(-2). What is the lowest common multiple of (1\/(-2))\/((-2)\/16) and g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 97*q - 224, 2*k - 2*q + 18 - 82 = 0 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-11 + 1 + 12 - 6 - -20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334\/1007 + 12\/53. Let n be ((-11)\/(66\/(-48)))\/(0 - 14). Let j = 1 - 0. What is the second biggest value in j, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {k: 1, z: 1, e: 2, v: 4, y: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.829499684 - 57.829497754. Let c = g + 55. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**8\/672 - o**7\/105 - o**6\/40 - o**5\/30 - o**4\/48 + o**2 - 4*o. Let t(x) be the first derivative of z(x). Factor t(a).\nAnswer: -a*(a + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 378\/2231 + -8\/97. Let b(a) = -a - 1. Let y(u) = 3*u + 10. Let d(f) = 4*b(f) + y(f). Let z be d(7). Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:15 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -116\/15, -2\/9, 2\/7, 0, 1\/7?\nAnswer: -116\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 - 84*t**4 + 392*t**3 + 568*t**2 - 396*t - 484 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1408917 and 801.\nAnswer: -1408116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w + 0*w)*(-12 + 12 + w**2).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 7*o + 9. Let a be q(6). Let u be (0 - a)*4\/(-21). Let p = 0.07 - 0.03. Sort -3, u, p in descending order.\nAnswer: u, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.7 (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 624 - 504. Calculate the least common multiple of 120 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by 92?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -119, -183, -249, -317?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1496 and 2924?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 66*c**2 + 31*c + 142. Let t be s(-66). Let j = 24754\/13 + t. Factor -j*v**2 - 162\/13 + 36\/13*v.\nAnswer: -2*(v - 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -311, -338, -385, -458?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {m: 1, e: 1, x: 3, n: 10}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12100111102 (base 3) to base 16.\nAnswer: 19b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 6, -130, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 12:05 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h + 2*h. Suppose 3*u + 20 = 8*u. What is the common denominator of -29\/6 and h\/u + (-159)\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*k. Suppose j - 16 = -2*c, -2*c = -k*j - 2*j - 16. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*q**3\/7 + 13*q**2\/7 + 11*q\/7 = 0. What is q?\nAnswer: -1\/3, 0, 11\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 minus 50236?\nAnswer: -50236.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q**(1\/4)*q))\/q*q))**(-16)*(q*q*q**(-1\/7)\/q)\/q*q*q**2 assuming q is positive.\nAnswer: q**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - j + 1. Let k(z) = -65*z**2 - 4. Determine b(u) - k(u).\nAnswer: -2*u**3 + 65*u**2 - u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3754715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 + -828. Calculate the common denominator of 104\/182 + (-523)\/s and -77\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(320) - sqrt(20)) - (4 + sqrt(2000)).\nAnswer: -14*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = o. Let w(t) = -5*t**3 - 2*t + 2. Let y be w(1). Is o < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8ce524 (base 15) to base 10\nAnswer: 6730909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1333151.355545 - -1333143. Let l = -69.636765 + t. Let f = l + 78. What is f rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*k + k - 3, -4*k = 5*p - 4. Let l be (k - 1)\/(-1) - -85. Suppose 0*i = 5*i - l. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let n(r) = -16*r - 14. Give 5*n(v) - 70*t(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1\/2*k**2 + 2*k + 7. Let t be f(-7). Sort 0, 2, t.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70 and 1852186.4106?\nAnswer: 1852256.4106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 2*c + 1. Let p(m) = 3*m - 1. Let z be p(1). Let f be o(z). Solve -f*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 11*a**2 - 9*a + 13. Let f be u(-10). Let h(o) = o**3 - 2*o**2 + 3*o - 4. What is h(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 + 408*l**3 - 4*l**2 - 408*l = 0. Calculate l.\nAnswer: -102, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, z: 2, q: 3, b: 3, d: 3}. Give prob of picking 1 i and 1 b.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0457 + 0.5457. Sort 2\/9, -0.01, u in descending order.\nAnswer: u, 2\/9, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -368309579 and 2.\nAnswer: -368309577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2\/5*b**5 + 2 + 0*b**4 - 1\/3*b**3 + 0*b**2 + 0*b. Find the third derivative of u(x) wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 + 342\/(-132)*-2. Suppose -4*m + 3*m = -j*m. List the prime factors of 74 - m*4\/(-12).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1153 + -1150. Let y(i) = 3*i**3 + 8*i**2 - 4*i - 2. Let r(h) = -4*h**3 - 8*h**2 + 5*h + 3. Give m*y(z) + 2*r(z).\nAnswer: z**3 + 8*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 22*n + 8*n. Suppose -3 = -0*h + h - u, 3*h - 5*u + 17 = 0. What is the highest common factor of h and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:07 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86040.\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 53*c**2 + c**3 - 56*c**2 - 6 - 4 + 2*c. Let b(m) = 2*m**3 - 6*m**2 + 4*m - 18. Let r(y) = -4*b(y) + 7*k(y). Determine r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4035 + -3620. What is the remainder when j is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 30, 3\/5, 27.4, 1\/4, 4, -4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 55*a + 364*a**3 + a - 336*a**3.\nAnswer: 28*a**3 + 2*a**2 + 56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + 8. Suppose 5*b + 7 = -l, -5*b + o*b = l + 3. Suppose -3*i + 5*i + l*s = -148, 0 = -5*i + 4*s - 370. What is i rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 3*o**4 + 10*o**2 - 232*o + 2*o**4 + 114*o + 119*o + 1 in the form j*o**3 + m + r*o + w*o**4 + c*o**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2 - 5 + 5*o - 2*o**3 + 7. What is the first derivative of w(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 540 = -2*q. Let a = 39 + -18. Suppose -a*n + 24*n - q = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8353.\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242 divided by 2242?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4 - 296092*r**3 - 592200*r**2 + 1184368*r + 2368768 = 0?\nAnswer: -2, 2, 148048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (-1 + -1 + sqrt(304) + sqrt(304))*3).\nAnswer: -25 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*m**3 - 242*m**3 + 240*m**3.\nAnswer: 155*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 31*a**3 - 7*a**2 - 7*a + 7. Let q(u) = -43 + 15*u**3 - 4*u**2 + 107 - 60 - 4*u. What is -4*k(m) + 7*q(m)?\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -2238.52.\nAnswer: -2243.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u + 194. Let n be h(6). Let a(k) = 135*k**n - 374*k**2 + 179*k**2. Let p(r) = -r**2. What is a(p(i))?\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 1968801290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 834. Suppose 0 = -9*i + v + 532. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8298 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592 + -589. Solve 2*f - s + 7 = b*f, 0 = 2*s - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -20 - (3 + 0 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 - -381. Which is the closest to -2\/7? (a) -1 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*p = -196. Suppose 0 = -o - p + 51. Which is the second smallest value? (a) o (b) -1\/4 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 3, y: 4, d: 3}. Give prob of picking 1 y, 2 i, and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/110 + (-16)\/10. What is the tens digit of 6 + p + (-414)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 + 8*x - 12. Let u(l) = 15*l**2 + 16*l - 25. Let p(n) = 13*r(n) - 6*u(n). Let b be p(-9). Let m = b - 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -212. Let v be (4\/14)\/((-5)\/b). What is the first derivative of 53*j - j**2 + v - 53*j wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-3)\/(-279)). Let x be (6\/2)\/((-24)\/(-16)). Calculate the remainder when 32 is divided by x\/(-12) + -2*n\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1739 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*q**3 + q**2 - q - 336 + 505 + 380 wrt q?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100101211001 (base 3) in base 6?\nAnswer: 42425214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1223 + 5*u + 833 + 331 + 59.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1909, 1523, 1141, 763?\n\"Answer: 2*k**2 - 392*k + 2299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 62. Let x = j + -52.1. What is the closest to 0.128 in -4, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1002201? (a) 1\/9 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r + 2*r + 23*r - 48*r + 54*r.\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37890549, 75781097, 113671645, 151562193?\nAnswer: 189452741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (72\/(-15))\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {v: 3, n: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let z(w) = w - 1. Let t(i) = 5*l(i) - 4*z(i). Suppose 37 = 22*j - 29. Let v be t(j). Which is bigger: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 2. Let h(q) = -q**3 + 2*q**2 + 4*q - 1. Let x be h(3). Let a(m) be the second derivative of -m**2\/2 - m. Give x*a(z) + r(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -80, -111, 1914 in decreasing order.\nAnswer: 1914, 6, -80, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1944\/(-63))\/12*(672\/(-256))\/(12\/(-16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -3, -7, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*p - 16 = 0, 5*p + 23 = h + 3. Let k = -12212\/5 + 2443. Factor h - k*w + 1\/5*w**2.\nAnswer: w*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.62511413 to four dps.\nAnswer: -6.6251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:48 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15564302 and 0.5.\nAnswer: 7782151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/((y*y**(-9)\/y)\/y))*y)\/(y*y\/(y*y**9)))\/(y\/y**(-1))**(-25)*y**(-1)\/(y\/((y\/y**(-9))\/y))*(y**(1\/2))**(-49) assuming y is positive.\nAnswer: y**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 3*r**2)*(0 - 3 + 2 - 2 - 1 + 4 - 1 + 0 + 2 + (-3 - 3 + 4)*(0 + 2 - 3) - 5 - 1 + 4 - 3 + 1 + 3).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -113*b + 51. Is g(-6) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*k + 376 + 407. Calculate the highest common divisor of 225 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (159\/6)\/((-2)\/4). Let y(f) = -6*f + 5. Let g be y(-9). Let v = o + g. What is the smallest common multiple of 32 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n, 0 = -q - n - 2*n + 66. Let j = -32 + q. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b + 1. Let z be d(-14). Let n be (-4)\/((-180)\/z)*-21. Let i = n - -124. What is the second smallest value in -1, -10, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -28. Suppose -3*r + c + f + 4 = 0, -4*c = -5*r + 44. List the prime factors of (-4)\/6*r\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -223*v**2 - 16941*v + 587. Give q(-76).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46374 is divided by 459.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 3, 242, -4, -3, 4109 in decreasing order.\nAnswer: 4109, 242, 3, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -2*l, -3*f = -l + 3 - 7. Suppose 0 = p + p - 16. Let a = f + p. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363423.\nAnswer: 3, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 208\/(-260) + (-2)\/(-15). What is the second smallest value in -0.3, -2, n, 1\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + 0 + 5*((sqrt(539) + sqrt(539) + 1)*5)**2*-4)*-4.\nAnswer: 56000*sqrt(11) + 4314000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 2, m: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 180*o - 2872. Determine i(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 3*p)*(-2 - 2 + 3) + (3*p + p - 5*p)*(-2 - 5 + 4)*(-3 + 6 - 2) + (0 - 2 + 0)*(2 - 2 - p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z + 286*z + 25*z + 113*z as m*z + u and give m.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + -1*sqrt(384) - sqrt(384))\/(sqrt(432) + sqrt(432)*2) + 5.\nAnswer: -2*sqrt(2)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5 + 10*i - 2 + i - 10*i + 8*i. Suppose 0 = 5*r - 1 + 11. Determine k(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 32*v**2 - 7189*v - 2481. Determine o(225).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(270))\/(sqrt(360)*2 - sqrt(360)) + 4.\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or 47?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73\/56 - -13\/14. Which is smaller: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/29 and -113\/138.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*q + 50*q - 351 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4 and -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1)*-1.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11.3. Let m = n + 0.1. What is the third biggest value in -0.3, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6146 + -6148. Which is the fourth smallest value? (a) p (b) -2\/3 (c) -0.1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*i = i + 25, 2*y = 5*i + 10. Suppose -4*q - 2*r = 5 - 23, 0 = 5*q + y*r - 30. Let s = 3 + 3. Solve -q*m = 6 + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 2*l + 25. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393502, -787001, -1180500, -1573999, -1967498?\nAnswer: -2360997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*54\/1152*36\/(-27)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -146. Let a be (u\/8)\/((-3)\/44). Suppose -4*s + 550 + a = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) + 4\/60?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 4*x**2 + 6*x - 6. Let r be l(4). Suppose -n = -3*n + 20. What is the units digit of r\/n - 3\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 17. Let a be j(3). Let n(o) = o - 3. Let u(z) = 2*z - 3. Suppose 10 = -5*y, -4*w = -3*w + 3*y + 9. Let g = 6 + w. What is a*u(m) + g*n(m)?\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13577 and -2.9.\nAnswer: -13579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 6, -f + 2422 = 2*i + 2*i - 2411 + 4852 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 73 = 0. Suppose 5*q - u = 22. Suppose 3*s - 89 - q = 0. Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 992940.3 decades?\nAnswer: 9929.403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(832) + (sqrt(468) + (sqrt(468) - (sqrt(468) + -1 + -2 - sqrt(468))))**2.\nAnswer: 112*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 80, 156, 232, 308, 384?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -7, -1\/7, -18\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0 (c) 6\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1098, 4403, 9902, 17589, 27458, 39503, 53718?\nAnswer: 70097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-210))\/((-21)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 29395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -15*v**2. Let g(m) = -4*m + 19. Calculate c(g(h)).\nAnswer: -240*h**2 + 2280*h - 5415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x**2 - x + 75*x**2 + 5*x**2 + 3*x - 101*x**2 - 127*x**2.\nAnswer: -226*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 13 - 6 - 5 + 2 + 316*o**3 to the form a*o + c*o**2 + l*o**3 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766739692 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 3*d**2 + 2*d - 6. Let r be g(4). Suppose 280*i - 337*i = -1368. What is the highest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Suppose k - 4*v + 6*v = 0, 0 = k + r*v + 3. Suppose 13 + 9 = k*h. What is the highest common factor of 77 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -5. Let r(j) = 25*j - 139. Calculate the remainder when 2\/z + 146\/8 is divided by r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 2. Let r = l - -7.1. Which is bigger: -1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -62. Let l be 6\/v + 11\/4. What is the nearest to 0.2 in 0.1, l, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4044 - -4046. Solve 0*c = -i + 4*c - 19, 2 = 2*i + u*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 4. Calculate the lowest common multiple of 64 and h(-16).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by 2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o + 5. Let a(w) = w**3 - 7*w**2 + 5*w - 13. Let l(k) = k. Let b(g) = o*a(g) - l(g). What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15889 divided by 5\nAnswer: -15889\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 68 - 63 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h**2 - h**3 + 6*h**2 - 67*h**2 - 165*h**2 + 57*h**2.\nAnswer: -h**3 - 225*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 1093620624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from rnnng.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57695*q - 57692*q + 19 = -4*v, 0 = -v + 3*q + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83 (base 14) to base 10.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -57*a - 21. What is the third smallest value in 2\/11, 22, a?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 = -2*l, l + 0 = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109287*p**4 - 27786 with respect to p.\nAnswer: 437148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -19*x + 15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -604097\/9 + 67123. Factor -c + 32\/9*k - 4*k**2 - 2\/9*k**4 + 16\/9*k**3.\nAnswer: -2*(k - 5)*(k - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*f - 7 = -54, -z = 4*f + 5. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -816, -788, -742, -678?\n\"Answer: 9*x**2 + x - 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5)*(-2)\/8. What is the third biggest value in j, 3, 1, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 127825*r + 8033130.\nAnswer: 5*(r - 25502)*(r - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(2\/35))**23 assuming l is positive.\nAnswer: l**(-46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 20. Let h = i - 8. Solve 0 = s + 8 - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 30*a = -2*b + 2*b + 28*a - 14, -3*b + 7*b = -30*a - 142 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38017, -38015, -37991, -37933, -37829, -37667?\n\"Answer: 2*j**3 - j**2 - 9*j - 38009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6642 + 9285. List the prime factors of c.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 49*u - 78. Suppose 8*s - 4*s + 56 = 2*i, 2*s - 102 = -4*i. Let k be a(i). Let 4\/5*f**2 + k*f + 0 + 0*f**3 - 4\/5*f**4 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 2. Suppose -5*k + k = 40. Let h be k*o*2\/(-4). Put 3, -0.3, h in descending order.\nAnswer: h, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 + 181.3. Let q = 176.535 - m. Round q to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211.3*281\nAnswer: 59375.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991.218ns in minutes?\nAnswer: 0.0000001165203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -x + 3*p, -1 = x + 5*p + 2. Let d be x\/(-2)*1*20. Let v(w) = -w**2 + 11*w - 8. Let j be v(8). What is the greatest common factor of j and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 19)*4\/5. Let i(w) be the third derivative of 5*w**4\/6 + 2*w**3 + 7*w**2. Let n be i(5). What is the highest common divisor of t and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 2*t - 3. Let v be ((-8)\/(-20))\/((-2)\/50). Let y = 54 - v. Let q be (y\/112)\/(2\/(-7)). Calculate u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-3))\/(24*(-6)\/60921). Let b = -2534 - c. Find the common denominator of 101\/94 and b.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 6*p - 2*p. Suppose 0*k + 4*x - p = k, 2*x = -k + 14. Suppose 2*h + 21 = 3*h - 4*v, k*v = -3*h + 79. Solve 6*q - h = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 51 (b) -24 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than -3395\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -105 - (-3 - (-2 + 9)) - (-9 + 7)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 - 371 - 4*v + 617 + 23*v)*(-1 + 1 - 2).\nAnswer: -38*v - 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.62842999 to one dp.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 1, e: 2, n: 1}. What is prob of picking 1 x, 1 n, and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 727644 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from xxlzhkhl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*p = 0, 3*f - 4*p - 1 = 3. Let d(i) = -i - 1. Let j be d(-5). Solve 2*g = -j*z + 5*z - 6, -f*z = -g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2 + 5*h - 523. Let b(v) = 3*v**2 - 2*v + 262. Give 5*b(z) + 2*x(z).\nAnswer: z**2 + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, o: 5, y: 7}. Give prob of picking 2 e.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.271 + 1.171. Which is the closest to d? (a) -5 (b) -5\/2 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + -33)*40\/(-432)*-3 and 58\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k - 4. Let c be o(6). Let a be ((-95)\/(-38))\/(10\/856). Let h = a - c. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a0b4 (base 15) to base 3.\nAnswer: 10012121012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -3.2. Let n = -1.084 + -0.136. Let t = n + 0.22. Which is the smallest value? (a) d (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = r + 1, -o = -r + 14 - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*v + 38, -5*v = -2*n + 17 - 57. Suppose 4*k = 4*q + 136, k + 13 = 3*q + 109. Is q > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1264.8 - -1265. Sort -0.4, 2, i, 1.93 in increasing order.\nAnswer: -0.4, i, 1.93, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - l + 2. Suppose -d - 4*d = -30. Let m(u) = -d*u + 3*u + 2*u - u**2 + 1 - u**2. What is 2*h(y) - 3*m(y)?\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208179 and 5121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*t + 90, -2*y + 82 + 75 - 22 = 3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 0 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -23. Suppose -y*m + 3*m = -6. Solve 0 = 2*d + m*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*o + 463*o = 504*o + 1114*o - 89590 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -25767b?\nAnswer: 257695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/6, 40, -0.2, -2459?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57182 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 161.7.\nAnswer: 6.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6627321 to the power of 1\/2, to the nearest integer?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -83\/36, -5, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 + 16\/10. Suppose -b*c = 2*c. Solve c*f - 15 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.527 - 3.927. Let w = -0.1 + 0.2. Sort w, 0, i, 2 in descending order.\nAnswer: 2, w, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.33 + -1927617148\nAnswer: -1927617159.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.7250043ns in days?\nAnswer: 0.00000000000028616903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x - x + 4*c, -88 = -5*x - 4*c. Suppose -v = -2, 5*v + 150 = 12*f - 7*f. What is the highest common divisor of f and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 39*t**2 - 23*t - 84. Calculate h(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511706?\nAnswer: 2, 11, 159623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13431 and 22.\nAnswer: 295482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m**3 + 3*m**2 + 20*m - 1. Is x(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4 + 1574*g**3 - 810*g**2 - 2 wrt g.\nAnswer: -72*g + 9444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {s: 6, a: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 221*w + 216*w + 3*w**2 - 5*w**2 + 0*w**3 - 5*w**3 to the form v*w + n*w**2 + p + z*w**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p**2 - 84017*p + 443928.\nAnswer: 6*p - 84017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -85. Let c = -22 + d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1284 and 50906.\nAnswer: 32681652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9699, 9698, 9697, 9696, 9695, 9694?\n\"Answer: -q + 9700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 2*y, 3 = -3*y - 0*k + 2*k. Let c = y + 4. Let j be (0 + -3)*8\/6. Sort j, 1, c.\nAnswer: j, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1785343 and 5.\nAnswer: -8926715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 315*u + 10402. Determine r(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -27. What is the nearest to -0.4 in 3, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + 2)\/(14\/(-7)). Put 16, 4, -1, i in increasing order.\nAnswer: -1, i, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.916 + -70. Let q = g + -4.916. Put q, 0.4, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161231407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 688.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 111 = -3*p, 4*p - 113 = s + 2*s. Calculate the least common multiple of 72 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 at least as big as 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 + f + 3. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**2\/k)*k**(2\/13)*(k\/k**(-1))**35*((k**(-1))**(2\/15))**(4\/7) assuming k is positive.\nAnswer: k**(95656\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 24323416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, c: 3, m: 3, g: 1}. Give prob of picking 2 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 2379*m. Let c(b) = 2*b. Give c(l(n)).\nAnswer: 8*n**2 - 4758*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 16660*s - 49985. Determine h(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1443 and -118.491.\nAnswer: -17.0982513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 42, 47, 54, 63?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 63. Let f = 2\/39 + -199\/78. Let o = 4 + -3.7. Which is the second smallest value? (a) o (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = s - 24, -5*s - 2*n = n - 107. Let d = s + -12. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let u(z) = 139691648*z - 291240. Let m(s) = 12950*s - 27. Let x(y) = 32360*m(y) - 3*u(y). Give x(t(n)).\nAnswer: -25888*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341*i**2*x**4 - 14*i**2*x**3 + i**2*x**2 + 440*i*x**2 wrt x.\nAnswer: -8184*i**2*x - 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.4 and 4.45.\nAnswer: -170.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**5\/9 + 69256*x**4\/9 - 179626*x**3\/9 - 2574892*x**2\/9 - 3212144*x\/9 - 886144\/9 = 0.\nAnswer: -4, -1, -2\/5, 8, 6923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-16)\/(-6) - 72\/108. Let z(x) be the third derivative of 0*x + 0 - 2*x**n - 1\/24*x**4 - 1\/60*x**5 - 1\/6*x**3. Calculate z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/777117 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -159, -252, -355?\n\"Answer: -5*m**2 - 68*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - 1199?\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 9*u - 6. Let q be g(-6). Suppose 4*c = -3*f - 2*f + 139, -4*c + 2*f = -118. Let x = c - q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102254752 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18 - 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -20*t + 216. Suppose -286*p + t = -285*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 802*w - 1530*w + 267*w. Let d(t) = -t. Calculate v(d(o)).\nAnswer: 461*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 3\/((-3)\/199). Let x be 0 - (-3)\/((-9)\/(-66)). Calculate the highest common factor of b and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121111222 - 0?\nAnswer: 101121111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -290, -291, -292, -293, -294?\n\"Answer: -d - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502\/7 + 72. Which is the third smallest value? (a) 1 (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -92*c + 592. Let y be f(5). What is the greatest common divisor of y and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 24.3. Let v = -1.7 + c. What is the nearest to v in -2\/17, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(833) + -2) + (sqrt(833) - (-4*-2*sqrt(833) - sqrt(833))))**2.\nAnswer: -448*sqrt(17) + 53328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 12 = -14*f. Let x be (-2)\/3*(-3)\/2. Let k be x\/((-4)\/(-76))*1. Solve f*b + 4*c + 3 = 0, -12 - k = 5*b - 2*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1274\/1695 - -100\/113. Sort -2, l, 1\/3, 0, 3 in decreasing order.\nAnswer: 3, 1\/3, l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1713*c. Let p(t) = 2*t - 8. Calculate p(a(r)).\nAnswer: -3426*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 14, 4, -0.1 in decreasing order.\nAnswer: 14, 4, -0.1, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-1) + 37\/(2109\/(-1824)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53700 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -58, -47, -36, -25, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-39))\/((-10479)\/38922)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -77 - ((-36)\/10 + (-12)\/(-20)). Is d at most -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-35)\/(-30))\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4 plus 0?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 - -5 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 303285\/8849?\nAnswer: 303285\/8849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.999931 - -118. Round f to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, 3, 40, 4, 57, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -356.31 + -36\nAnswer: -392.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -28*t - 164. Let c be y(-6). Let d(x) = 67*x - 2. Let r be d(c). Calculate the greatest common factor of 190 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4\/(-46))*(1386\/(-42))\/33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.203*16.\nAnswer: 3.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2*s**4 + s**2\/2 - s + 6963. Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + l**2 + 276*l**3 + 571*l**3.\nAnswer: 847*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:50 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3941271 and 366.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 836*o - 792. Let h(q) = -209*q + 198. Let l(b) = -18*h(b) - 4*m(b). What is the derivative of l(t) wrt t?\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/13 - 194292*r**4\/13 - 194284*r**3\/13 + 582872*r**2\/13 + 194286*r\/13 - 388580\/13 = 0.\nAnswer: -97145, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3)\/(5\/6). Suppose -5*p - f*i = i - 7328, 0 = 4*p + 3*i - 5863. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*v - 8, 3*v - 5*f + 3 - 14 = 0. Let i be (-1)\/2*(-3 - v). Suppose u = -i + 13. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 4, 8 in decreasing order.\nAnswer: 8, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 + 26 = 0. Let q = c + -1. Let k = 26 - q. Solve -k*i - 2*h + 2 = -4, -3*h + 5 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:43 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -40*q + 2629. What is the remainder when 496 is divided by x(55)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 6*i + 12. Let q be g(9). Let f(a) = 3*a**3 - 3*a**2 - 6*a + 3. Let y be f(5). What is the highest common factor of y and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) -2\/11 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 3:51 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/20 - 2\/10. Let g(q) = 342 - q**2 + 3*q - 81 - 85 - 86 - 86. Let n be g(c). Solve -n*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (205\/10)\/(2\/4)*1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 - 5*r + 4. Let o be u(-5). Sort o, -3, -2.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167496 and 240.\nAnswer: 1674960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5, 2.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20.68, -1\/6, 33?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 10. Let w be n(10). Let m = w + 96. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 17*k - 5. Let r = 16 + -11. Let g be v(r). Suppose -12 = 3*l, f + 4*f - 2*l = 168. Calculate the greatest common factor of g and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 9) to base 13\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 18366380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 35\/(-20))*272\/(-17). Let j(x) be the third derivative of -1\/96*x**i + 0*x**3 + 0*x - 1\/240*x**5 + 0 + 10*x**2. Let j(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 d when four letters picked without replacement from dddcfddcicdcidic?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 314193301559 - 314193305019.99993738. Let v = 3461 + s. What is v rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*(v*v*v**(-7))\/v*v*v)**18 assuming v is positive.\nAnswer: v**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-12\/7)*v**(-2\/13)\/(v\/v**(1\/4)) assuming v is positive.\nAnswer: v**(-3551\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10211, 4, 9, -3 in descending order.\nAnswer: 10211, 9, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*v - v + 164, -5*m + 2*v = -381. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -31*i + 1. Let u(n) = 46*n - 1. Determine 7*q(l) + 5*u(l).\nAnswer: 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(96)*-1)\/sqrt(4))\/(sqrt(16)\/(sqrt(8)\/sqrt(4))) - ((sqrt(75) + 1 - sqrt(75)) + -4 + sqrt(75) + -1 + -1))**2.\nAnswer: -96*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.72 - -5.78. Is -11 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101113 - 2?\nAnswer: -101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 621.9262 millennia?\nAnswer: 6219.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4\/5 - 9*m**2\/5 + 6*m\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1734\/7 - 248. Which is the nearest to -1\/80? (a) 0.2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.968 - 0.112. Let z = -1.0800076 - r. What is z rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13915\/(-935) - (-180)\/(30 + -18)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:48 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98115 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -7657, 1, -14, 3 in descending order.\nAnswer: 3, 1, -2, -5, -14, -7657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**4 - 166*n**2 + 166*n**2)*(-8 + 24 + 8)*(-2 - 3 + 3).\nAnswer: -432*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 48. Let u(v) = -17*v**3 - v**2 - 3*v + 2. Let m be u(t). Let j = -43 - m. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2)\/sqrt(4))\/sqrt(7).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4611 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*m + 1529 + 739 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 50\/51 (b) -0.4 (c) -0.5 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -30 + 42. Let g be 26\/10 + n\/(-5). What is the first derivative of 3 - 1 + 11*v**g + 7*v**2 wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.49 (b) 2 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 + 3955*z + 86526 = 0?\nAnswer: -3933, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/(j\/(((j\/(j**(2\/21)\/j*j*j))\/j*j)\/j)))\/((j\/(j\/j**2))\/((j\/j**(2\/17))\/j))*j**(3\/4)\/j**5*(j*j**2\/j*j)**7 assuming j is positive.\nAnswer: j**(88087\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40134 is divided by 155.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 1286 + 102. Let g = o - 142. Let z = g - -102. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 32 - (-6 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6900021 and 29.49876.\nAnswer: 6900050.49876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*t - 7, -5*q + 0*t + 2*t + 8 = 0. Suppose -165 = -5*s - q*r, -r - 135 = -4*s - 2*r. Calculate the highest common factor of s and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/7)\/m))\/m**5)**(-37)\/((m**(-1\/4)\/m*m)**(-2\/3))**(-29) assuming m is positive.\nAnswer: m**(4643\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.2. Let k = -0.06 + a. Let m = -0.5 - -0.4. What is the smallest value in 2\/13, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Let a = -7 - -7. Sort a, f, -1\/2 in ascending order.\nAnswer: -1\/2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*m**2 - 11*f + 573128*m**2 + 34761*m wrt m.\nAnswer: -6*f + 1146256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 + -2 - -4)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10010000011110111001010?\nAnswer: 10010000011110111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 9 - 3 + 4*u**2 - 3*u**2. Let l be i(6). Solve 2*s = 0, 4*y = -l*s + 4*s - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Suppose -3*c - y*k = -17 - 20, -2 = -3*c + 5*k. Calculate the lowest common multiple of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/6 - 2194*b\/3 - 1463\/2 = 0?\nAnswer: -1, 4389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhxkxxmkx. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520474.\nAnswer: 2, 197, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**4 + d**3 + 11*d**2 - d - 6. Let o(x) = x**4 + 4*x**2 - 2. Let r(b) = -3*m(b) + 8*o(b). Determine z, given that r(z) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2*y - 1 + 3*y)*(-91 + 167 + 311) as h*y + t and give h.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/2394)\/(((-30)\/(-9))\/(36\/(-54)))*-4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 2:25 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 12561691.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 9*j - 2. Let d be r(9). Let x(v) = -v + 1. Let q(l) = -3. Let g(b) = b**3 + 10*b**2 - 24*b - 1. Let t be g(-12). Calculate d*x(u) + t*q(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 - 7*g - 10. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11.1 - 635677969293\nAnswer: -635677969304.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1388\/13515?\nAnswer: -1388\/13515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 5:48 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 43*j - 139. Let x be h(-39). Solve 0*r - 5*r + 3*l - 19 = 0, -3*l = -4*r - x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 19218627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2\/3*j**3 + 0*j + 0*j**2 + 5. Let w(y) = 3*y**2. Calculate d(w(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 2*n**3 - 3*n**2 + (2*n**2 - 5*n**2 + n**2)*(-4 + 4 - 2*n) + 0*n**3 - 2*n**3 + n**3 + n**3 + n - n - 2.\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 703 - 721. Suppose 0 = 4*m + 5*i - 406 + l, 0 = -5*i + 20. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t - 10. Solve t = 5*v - 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/12 + 5*s**3\/6 + 3*s**2 - 5*s. Calculate r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 21*x**2 + 1 + 0 + x - 20*x**2. Let q(y) = 2*y**2 + 3*y + 1. Let p(v) = -5*v - 66. Let n be p(-15). Suppose n = -a + 14. Calculate a*u(z) - 3*q(z).\nAnswer: -z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 26.23493?\nAnswer: -20.987944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 227909*k**2\/3 - 455822*k\/3.\nAnswer: k*(k - 2)*(k + 227911)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**3 + 27*a - 13*a - 12*a - 2*a - 30*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 - 5*x**3\/6 + 2*x**2. Let u be m(8). Suppose 3*r + u = -0. Which is the nearest to -1? (a) -4 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let j(a) = -2*a**2 - 6*a - 10. Let b(o) = -i(o) - j(o). Let w be b(-3). Solve -3*v - 4*q - w = 0, 6*v = v - 4*q - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2715444 by 68.\nAnswer: 39933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32132 + -11652?\nAnswer: 20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdntdztdntdcccttzt. What is prob of picking 2 t?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -2\/21 (c) 0.47 (d) -1.6 (e) 11 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 45. 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: Let o(d) be the third derivative of 1\/10*d**5 + 0*d**3 + 0 + 0*d**4 + 0*d - 1\/40*d**6 + 3*d**2. What is the third derivative of o(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -20. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458 = 7*q - 1430 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339496252.3505695 - 369780310.35057. Let k = 30284041 + n. Let a = k - -17. Round a to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b + 4380 = 60*b - 110*b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 7*t + 2*t**2 - 2*t in the form d + f*t**2 + b*t and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301787662 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 114. Let w = u + 50. Let z be ((-2)\/(-6)*w)\/((-19)\/228). Solve -4*j = -2*j + z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1420*i - 13897. Give f(9).\nAnswer: -1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 134. Let x = 699 + -821. Let j = p - x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 4, y: 3, l: 1}. Give prob of picking 1 i, 1 y, and 1 m.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13407 (base 8) to base 6.\nAnswer: 43143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 14*a**2 + a - 41. Let o be y(14). Let s = 39 + o. Suppose 2*r = -s*r + 168. What is the highest common factor of 28 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h - 2. Let m be y(5). Suppose -u - 20 = 5*w, w = -2*w - m*u - 12. Which is the nearest to -1? (a) w (b) -1 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*j - 766*j = 5*j + 91*j - 16100 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 269024 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -3. Let j = 4 - u. Suppose 2*a + 3*n = 86, -a + j*a + n + 33 = 0. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ryryfrr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16905919*q**3 + 125*q**2 - 424.\nAnswer: -101435514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/337077 and -75\/149812.\nAnswer: 1348308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w - 160 = 125*w. Let q(v) = -2*v + 1. Let z(s) = 4*s - 2. Let y(a) = w*q(a) + 3*z(a). What is y(8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhfffffffhfffffh. Give prob of picking 1 f and 3 h.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 - 432 = -2*f - 2*j, -36 = 5*f - j for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**3 - 64 - 101*p**2 - 37*p**2 - 2*p**4 - 437*p + 601*p + 20*p**3.\nAnswer: -2*(p - 16)*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 1, k: 2, x: 3, j: 1}. Give prob of picking 2 r and 1 x.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 543 = 17*u. Suppose 5*q = -i + 29, -2*q = -5*i + 2*i - 15. Let d(k) = -k**2 + 7*k + 4. What is the lowest common multiple of d(q) and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - -20. Calculate the remainder when v is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (116 - 264 - -87) + 55?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -39*o - 600. Determine q(-18).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3287579814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:29 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 3*q - 10, -4*u = 9*q - 10*q + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/172 bigger than 4\/1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.525233 milliseconds in days?\nAnswer: 0.0000018579309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 25. Is -1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -5*a + 18*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16786\/15 + 1119. Suppose 0 = 7*l - 39 + 46. Which is the third biggest value? (a) l (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10991 + 11348.74. Let g = 354 - b. Let a = 1.26 - g. Sort -3\/7, -24, 2\/9, a in increasing order.\nAnswer: -24, -3\/7, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96781, -96017, -95253, -94489?\n\"Answer: 764*n - 97545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2649789?\nAnswer: 1\/883263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 30 = -2*g, -d + 15 - 48 = -5*g. Let r be 0 - 2 - d\/1. Let h(l) = 3*l - r*l + l. Let j(v) = 2*v**2. Calculate j(h(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(112).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 7*c - 14. What is k(11)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/814)\/((-180)\/(-60)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*s**3*z**2 - 56789*s**3 + 4*s**2 + 2*s*z**2 + 2*s*z - 10331*s + 28*z**2 + 32*z wrt s.\nAnswer: -1110*s*z**2 - 340734*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18695.57mg?\nAnswer: 0.01869557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -39, -98, -181?\n\"Answer: -12*q**2 + q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33951 by -6.\nAnswer: -11317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/45 + (-2)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfllllv. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 4, o: 4, s: 6}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174 + 15*u - 174 + (0 + 0 - 2)*(u + 0*u - 2*u) + u - 4 + 4.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 77 - 23*m in the form h + o*m and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - 44*x + 52. What is the remainder when 146 is divided by v(-11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 0)*(o - 1 - 3*o + o) - 224*o + 111*o + 19*o + (0*o + 2*o + 0*o)*(21 - 37 + 14) to q*o + n and give q.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 19)*1\/(-9). Let n(v) = -v**2 + 7*v - 2. Let p be n(6). Calculate the highest common factor of u and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Suppose 5*p = 5*v - 30, 0*v = 5*v - 3*p - 20. Let i(q) = 4*q**4 + 2*q - 109. Let h(m) = v*i(m) - 6*g(m). Differentiate h(d) wrt d.\nAnswer: 16*d**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 372.719mg?\nAnswer: 0.000000372719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.19, 0, -0.05, 2 in decreasing order.\nAnswer: 2, 0.19, 0, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -31*b + 213. What is the units digit of a(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 802111636 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39650*p**2 + 4*p - 13888*p**2 + 30768*p**2 - 4*p.\nAnswer: 56530*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53300?\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgkgfgfgzzgglzlll. What is prob of sequence kff?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5\/4 - 6539*h**4\/4 + 137865*h**3\/4 + 688675*h**2\/4 - 205000*h = 0?\nAnswer: -6560, -5, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*j**5\/5 + 107884*j**4\/5 - 1815008*j**3 - 4783840*j**2 - 11435584*j\/5 - 1527104\/5 = 0. Calculate j.\nAnswer: -2, -2\/7, 107, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(1\/(-2)). Suppose -5*c = -h*c - 8. Sort 8, 0, c in ascending order.\nAnswer: 0, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -538.\nAnswer: -152\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94995181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11015\/4 - 2753. Which is the nearest to 2\/3? (a) 3\/7 (b) -9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyhbbbhyb. Give prob of sequence hbht.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from uuyuuyyqyuuyyyqyyyy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11038459 and 84709.\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*j - 85*j = -37*j + 4480 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3086, 4, -2, 1 in decreasing order.\nAnswer: 3086, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -20?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -928 (b) -10 (c) 4 (d) 0.1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 871\/492 - -47\/41. Let z = -219655\/18 - -12207. What is the common denominator of z and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107265949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7286.435l?\nAnswer: 7286435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4176596 divided by -4.\nAnswer: -1044149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15812*m + 142246. Determine s(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(20\/8))\/(6 + 420\/(-75)). Let z(g) = 21*g**2 + 4*g. Let b(c) = 20*c**2 + 5*c. Let w(j) = -3*b(j) + 4*z(j). Calculate w(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -208, -209, -210, -211, -212?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (56 - (-14 + -3 - (8 - (6 + 13))))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 2*u - 2. Let j be (2 + 3 - 2) + -5. Let k(i) = -3*i - 3. Let z(b) = j*k(b) + 3*x(b). Let w(d) = 0*d + 0*d - d. What is z(w(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-149)\/(-4) - (1 - 0). Let w = t + -869\/20. Find the common denominator of w and -33\/73.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/6299 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiio when four letters picked without replacement from ooooooiiiooii?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 0.3, -4.\nAnswer: -11, -4, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93060 and 330.\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 - 4*l + 3. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 10*s - 35. Let l be 4*1\/(s\/(-12))*-1. Solve -l*j - 15 = 5*z, -3*j - 9 = -z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(2 + 3)*5. Suppose 634*r - 628*r - 270 = 0. What is the greatest common divisor of g and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 2. Let i be k(-3). Let o(c) = -2*c**2 + 13*c - 13. Let j be o(i). What is the third derivative of -5*h**2 - j*h**2 + 14*h**3 + 3*h**3 wrt h?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 15. Suppose h*r = 5*o, -4*r + 6 = -3*r + 2*o. Suppose 3*b = -3*i, -r*b + 2 = 5*i - 2*i. Solve -4*u + 6 = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/3*6*((-2)\/(-40))\/(168\/4620)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 232?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 105 - 823 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 15*i + 152256 = -i. Does 39 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18)*13248\/(-256)*6\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -308*a**2 + 2782*a - 24. Give b(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*h - 0*h - 299880000. Round h to the nearest one hundred thousand.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 136 = 6*d. Calculate the remainder when 110 is divided by 24\/d*56\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a - 4*a + 3*a - a. Let z be -1 - (-4 - -2 - 0). Let w = 2 - z. Give u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449403.9467 rounded to the nearest 1000?\nAnswer: 449000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**3 + 2*n**2 - 197*n - 198. Let o be k(-1). Suppose -a - 4 = -3*j, -5*j - 1 = 4*a - 19. Solve -4*w - 3*r + o = 0, 4*w - j*r = -3*r + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9818832, 19637648, 29456452, 39275238, 49094000, 58912732?\nAnswer: 68731428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*l - 55*l - 32. Let u be 50 - 1\/(-1*2\/l). Suppose 3*a = 225 + 189. Calculate the greatest common divisor of u and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -1 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*k = 83*k + 234. Let l(i) = -i**2 - 6*i - 3. Let b be l(-2). Let f be k\/b - (-4)\/(-20). Solve -2*q = 4*d + 26, f*d = 2*q + q - 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81, -452, -1859, -4566, -8999, -15584, -24747?\n\"Answer: -71*b**3 - 11*b**2 - 3*b + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 106*d**2 - 106*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55439.4 and -22?\nAnswer: 55461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*p - 32 = -t, -5*t + p + 42 = 0. Let d = -2 + t. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 465328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 3, d: 2, j: 4, v: 1, g: 1}. Give prob of sequence hjkk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s - 150*s = 4*w + 42, 3*s + w - 12*w - 105 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 909\/(-990)*2 - 71\/(-355)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13431244002 (base 5) to base 15.\nAnswer: 17e961c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110202 (base 3) in base 16?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 94*p = 2636 - 711. Calculate the remainder when 76 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 24 = 36. Which is the second smallest value? (a) s (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 146*h - 7560 = 0.\nAnswer: -108, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 11*r - 10. Give h(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 320*k + 4569. Let f be m(-15). Let l be (-2)\/6*(-2 - -4). Let d = -7 + 9. Which is the third smallest value? (a) d (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -11*z**5\/20 - z**4\/2 + 10*z. Find the third derivative of o(g) wrt g.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 4*q**2 - 5*q + 7. Let w be b(-5). List the prime factors of (-3 - -2)*w*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - -2*(-4)\/4. Calculate the greatest common divisor of 54 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3816453857?\nAnswer: 3816453857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11428, -11439, -11438, -11419, -11376?\n\"Answer: m**3 - 18*m - 11411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 593526.\nAnswer: -5, -1, 593526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -47*k**6\/2 - 49*k**2\/2 + 82. What is the second derivative of u(y) wrt y?\nAnswer: -2820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - -28. Let v = 85 - z. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 9. Let l(a) = 6*a - 24. Let n be l(5). Suppose n*v = 2*v + 44. Calculate the smallest common multiple of b and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7788 = -2*i - 4*j, 6*j = 5*i + 3*j - 19483. Let x = 23465\/6 - i. What is the common denominator of 149\/18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/26 and 57\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - i + 3. Let p be h(0). Let j = 19 + p. Let t be ((-10)\/(-12))\/(-5)*(16 - j). Solve -3 = g - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-3 - -2) - (-3863 - -3851)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11) - 48\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011194 to six dps.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 195*n**2 - 1685*n + 87. Determine s(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/13)*j*j*j**18*j*(j*j*j**(-1\/13)\/j*j*j*j)\/j*j\/(j*j**0) assuming j is positive.\nAnswer: j**(314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:17 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 + 2*n**3 + 2*n**2 + 5*n - 981. Let a(u) = -u**3 + 6*u**2 - 5. Let b be a(6). Give y(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4380*y - 15554*y = -179707 + 3189741 for y.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53, -65, -75, -83?\n\"Answer: a**2 - 15*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-18)*i**(-2\/7)\/i**(-1))**(14\/9) assuming i is positive.\nAnswer: i**(262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21*w**3 + 13*w**2 + 6289*w + 3. Let u(o) = 64*o**3 - 39*o**2 - 18867*o - 10. Let s(b) = 10*g(b) + 3*u(b). Find the second derivative of s(h) wrt h.\nAnswer: -108*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 710.835 + -715. Let x = -0.035 + r. What is x rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446190 rounded to the nearest 10000?\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811 (base 9) in base 14?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4804 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -3 (c) -3\/7 (d) 1 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:09 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o + 21*o - 72*o + 32 = 0. Factor 0*b - 3*b**o + 0 - 3\/2*b**3.\nAnswer: -3*b**2*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010101100 (base 2) to base 13\nAnswer: 101a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.71 - 6.42.\nAnswer: -4.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*r + 351*b**3 - b*r + 483*b - 2*r wrt b.\nAnswer: -18*b*r + 2106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n + 4. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/136 and -111\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(480) + (sqrt(480)*3 + sqrt(480))*6)\/sqrt(8))\/((-4*sqrt(144)*-1 + sqrt(144))\/sqrt(12)))**2.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*i = -20, 4*y - 2*i - 10 = 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46527800?\nAnswer: 2, 5, 11, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16807 and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + j + 338 = 4*j, 3*v + 5*j = 190. Let c be ((-18)\/7)\/((-15)\/v). Solve 0*f = 3*f - c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4 - 5. Let p = 116 + -113. Calculate the lowest common multiple of 44\/(a + 7) - p and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-77404)\/(-83700) - (-4)\/50. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 35 = 15. Suppose -a + 5 = p*a. What is the smallest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 2*n**4\/3 + 9*n**3\/2 + 11*n**2\/2 - 5*n - 1. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((2 - 5) + 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*q = 351*q - 2268000. Round q to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988069967 to the power of 1\/2, to the nearest integer?\nAnswer: 54663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32469 is divided by 10823.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1408798um?\nAnswer: 0.0000000001408798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 2*y**3 + 2*y**3)*(2 - 1 - 3)*(44 + 23 - 34)*(-4*y + 6*y + 3*y).\nAnswer: -330*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704 = 26*b - 31*b - 27*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - z = 0. Suppose 11*v - 14*v - 39 = z. Which is bigger: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153\/2584*2109 + (-90)\/48\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3.15. Let l = d + -0.43. Let h = l - 11.92. Round h to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005436812 to 7 decimal places.\nAnswer: -0.0000544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28d53 (base 16) to base 9\nAnswer: 274374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4522262*n**2 - 4522260*n**2 + 4*n - 4522268*n**2 + 18089053*n**2 - 4*n - 4522265*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-three quarters of a millisecond?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 4 = -2*t - 2*q, -q + 1 = 0. What is the closest to 2\/3 in -2\/41, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.2 plus -11.3?\nAnswer: 100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25201576 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4232156 and 10176.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-90)\/(-240))\/((-3)\/(-2)). Let m = 8 - 7.2. Let x = -0.6 + m. Which is the closest to w? (a) -0.4 (b) x (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**2 + 2*q**3 + 11*q - 26*q**3 - 6*q**2 wrt q?\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + 0.13. Let k = 0.36 - s. Let d = k - 0.4. What is the nearest to 2 in -1\/3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Suppose 6*h - 2 = 2*z + o*h, -5*h = -2*z - 11. Solve -z*v - 6 = -16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 143992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + x - 13, -k - 3*x = 4*k - 57. What are the prime factors of k\/(-6)*(-52)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.45 - -17. Let m = 0.23 - y. What is m rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 - 191.49. Let r = -0.09 - s. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -10. Calculate the common denominator of -49\/16 and 3 + ((-1250)\/j)\/5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 3*q + 4303. Suppose 114*n = 112*n. Is z(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, d: 3}. What is prob of picking 2 t?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.779 + -8.780417. Round v to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 387, 870, 1547, 2418?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 351 - 745 = -a - 457, a + 4*m = 135 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183 + 184. Let r = -2 - -1. Let l = 1.5 + r. Which is the nearest to -1? (a) -0.1 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 5 + 1 + -2. Let o(a) = 3*a - 5. What are the prime factors of o(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -5.35?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513552089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -20.2. Let x = 10 - r. What is the nearest to 2\/7 in x, -0.2, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 1. Let q be t(4). Let n(m) = m - 13. Let u be n(q). Suppose -5 = i + 3*o - 6, -2*o - 11 = -i. Solve -u*k + 0 = f - 2, -3*k = -f + i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6740391 or -6740386?\nAnswer: -6740386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -430*k**3*l**3 + 47*k**3*l**2 + 2*k**3 + 11189*k + 1 wrt l.\nAnswer: -1290*k**3*l**2 + 94*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**3 - 40*a**2 + 24*a - 404. What is g(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 109.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*x + 13189 = -124*x + 36274 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i + 23. Let v = 4 - 4. Let f be k(v). Let u = 32 + f. What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 - 2*u + 6. Let j(x) = x**2 + x. What is b(l) + 6*j(l)?\nAnswer: l**2 + 4*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143580\/35 + -3 + (-28)\/98?\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30369, -78429, -126489, -174549, -222609?\nAnswer: -270669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1364)\/682)\/(17\/(-9))\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14334*h**3 + h**2 - 5*h - 6. Let w be u(-3). Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2*5*2\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-5 + 189\/28))*-932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632028, 632032, 632036, 632040?\nAnswer: 632044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 98 (b) -0.3 (c) 191 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/264 in -3, -2\/5, -3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - h**2 + 4*h**2 - 443*h.\nAnswer: -2*h**2 - 443*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - b - 1 = 4*d, 3*d + 4*b = -4. Let k(u) = -u - 2. Let l be k(-2). Suppose 2*w = 6*w - 8. Solve -3*g - 2*o + 15 = l, o + 10 = w*g - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5486535505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slnylyysyslslynls. Give prob of picking 4 y.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.1, 0.5, 0.2, 13, -1\/6, -2.\nAnswer: -13.1, -2, -1\/6, 0.2, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(-1 - 2*q + 0 + q) + (2*q - 2 + 2)*(0 + 2 - 4).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -3978a5c?\nAnswer: 3978a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 7, 11, 17, 25?\n\"Answer: y**2 - y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a hour in seconds?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -5*w + w. Suppose -192 = 30*u - 36*u. Let a = w + u. Solve a = -0*k - 3*k + 4*b, 3*k = 2*b - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 - 68.4\nAnswer: -206.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2959*i - 105033 - 134646 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 4. Let g be z(-6). Let m = g - 14. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(48)\/sqrt(4)))\/(sqrt(5)*1*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 - 514 = 470*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-16) + 3\/2. Suppose s = -u + 4. Factor 0 - u*b**2 + 8*b**3 - 8*b**4 + 0 + 2*b**4.\nAnswer: -2*b**2*(b - 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 4 - c**2 + 2*c**2 + 0 - 6. Let u be f(3). Suppose 3*j - u*h + 26 = 147, 2*j + h = 77. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26280, 26097, 25924, 25767, 25632, 25525, 25452, 25419?\n\"Answer: k**3 - k**2 - 187*k + 26467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216613000 rounded to the nearest one million?\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 9*d + 4. Let m be p(-9). Suppose m*y + l = 35, 26 = 4*y - 0*l - 2*l. Suppose y*k + 82 = 10*k. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**3 + 144*v**4 + 110 + 8*v**3 - 10*v**3 + 288 wrt v?\nAnswer: 576*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 22, -14, -84, -200, -374?\n\"Answer: -2*w**3 + w**2 - 3*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4816?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:27 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -8) + 0 - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -973 - -683. Let h = q + 320.2. Let o = 27 - h. What is o rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y + 4. Let i be 99*(42\/(-9) + 5). Let h(q) = 15*q**2 + 33*q + 66. Let z(m) = i*v(m) - 2*h(m). Let l(r) = -6*r**2. Give z(l(g)).\nAnswer: 108*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027551292?\nAnswer: 2, 3019, 333517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**3 + 6*o**2 - 10*o - 24. What is j(-2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/131 + -509\/655. Which is the second biggest value? (a) -2 (b) q (c) -3\/14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 1 + 9. Suppose -h*c - 3*c = -50. What is the lowest common multiple of 9 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326253 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 1\/((-7)\/315*-12*(-6)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 3:26 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008148787 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 348, 1 in increasing order.\nAnswer: -12, 1, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13511.828 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/195 + (-92)\/(-15). Suppose w + 10 = 4*z, -3*z + k = 3*w - 6*z. Calculate the greatest common divisor of w and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 - 9*w + 9. Let f(s) = -7*s + 234. Let r be f(34). Let v(o) = -2 - 3*o**3 - 2 + 0*o**3 + 4*o. Calculate r*z(k) - 9*v(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4)*34\/51. Put -2\/15, -2, c in descending order.\nAnswer: -2\/15, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56434\/(-6) - (-5)\/(-20)*-1. Let o = 9399 + r. Find the common denominator of -125\/66 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 + 157*r**2. Let i(x) = -1. Let w(a) = -a**2 + 3. Let o(g) = -6*i(g) - 2*w(g). Calculate v(o(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5 + 0 + 5*x - x. Let n(d) = -2*d - 2. Let o(c) = c + 9. Let k be o(-4). Let a be (-4 + 0)\/(2\/(-1)). Calculate a*f(j) + k*n(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2546+-28.3\nAnswer: -2574.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - x + 3*x - 3*x + 2*x + 2*x + (0*x + x + x)*(4 + 0 - 2) - 64*x + 71*x - 57*x)*(5 + 5*x + 5*x - 3).\nAnswer: -470*x**2 - 94*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03363 + -0.73363. Which is the fourth smallest value? (a) q (b) 3 (c) -3\/7 (d) 0.24 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 7, u: 1, g: 3, s: 1, c: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/9)*g)\/g**(-11))\/(g**4*g**(5\/3)\/g))**(-45) assuming g is positive.\nAnswer: g**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**2 + 3035*x + 3035. Calculate r(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(-5)\/10 + (-1)\/(-1). Let i(z) be the third derivative of -1\/8*z**4 - 1\/6*z**3 + 0*z + 1\/120*z**6 + 1\/12*z**5 + 0 - 9*z**2. Calculate i(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*sqrt(1216) + sqrt(1216))*-6 + 4*sqrt(1216)*-2 + -3)**2 + -2.\nAnswer: -13824*sqrt(19) + 1245911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkkjjkj. Give prob of picking 2 j and 2 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 9*z**2 - 4*z + 37. What is s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-151)\/(-3))\/((-52)\/(-468)). Suppose 4*i = 2*d - 1407 - 903, -5*i - 2*d = 2874. What is the common denominator of 49\/2 and -1 + (-3)\/(i\/r)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x - 42*x - 16*x - 89*x + 167*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 - 179. Suppose 0 = -j + o + 899, -m*j + 1528 = -3*o - 2066. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184194 is divided by 545.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -242, -243, -244, -245?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3 + 54*c**2 + 243*c = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111644028?\nAnswer: 2, 3, 1033741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**5*w**2 + 22613*f**5 + 2*f*w**2 + 53*f*w + f - 102*w**2 - w wrt f.\nAnswer: -40*f**3*w**2 + 452260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n + 3. Let j be o(0). Let u = 221 + -219. What is the nearest to 0.2 in j, -5, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -173, -416, -767, -1232?\n\"Answer: -l**3 - 45*l**2 + l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 + 2*c - 10. Let b be t(7). Let j = -61 + b. Calculate the remainder when j is divided by (1\/(-2))\/((-334)\/(-84) - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -418*t**2 - 1679*t - 8. Calculate the remainder when (-576)\/(-10) + (-2)\/(-5) is divided by s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179\/((-3222)\/(-5544))*(-2)\/(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (570\/20)\/19*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufdzzeuzyedd. Give prob of sequence zz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192654 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 27*z + 11. Let f be g(-3). Let h = -6 - f. Calculate the highest common factor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -73, -15.7, -18, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15068353?\nAnswer: 15068353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340*435.\nAnswer: 147900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-606 - 233 - 92 - 69 + 183)*(-b**2 + 0*b**2 - 3*b**2).\nAnswer: 3268*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.81441984 + 85.11442. Let r = 0.9 + -2.2. Let f = n + r. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (58 - 14 - 17).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - ((-10)\/(-15))\/((-2)\/(-3)). Let o(p) = -8 + 0 + x + 209*p**2 - 1. Let r(v) = 2*v**2. What is o(r(n))?\nAnswer: 836*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1630)\/(-325) - 5)\/7. Let a(y) be the third derivative of -1\/78*y**4 + 0*y + 10*y**2 + 1\/195*y**6 - c*y**7 + 0 + 0*y**3 + 1\/390*y**5. Factor a(p).\nAnswer: -2*p*(p - 1)**2*(3*p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q - 3. Let j(i) = 2*i**3 + i**2 - i. Let z(b) = 13*b**3 + 6*b**2 - 7*b - 1. Let k(a) = 6*j(a) - z(a). Determine 4*k(c) + x(c).\nAnswer: -3*c**3 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 + 4 = 0. Solve 0 = 4*t + 3*w - v, -2*t + 3*t - 22 = -5*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/11 + 18*s**4 - 6694*s**3\/11 + 90634*s**2\/11 - 497040*s\/11 + 938600\/11 = 0. What is s?\nAnswer: 5, 13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76752543 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071 * -19.7.\nAnswer: 1.3987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 6*s**3 + s**3 - 8*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.506 - 0.206. Let v be -57*(3\/(-2))\/3. Let k = -401\/14 + v. Which is the nearest to -1\/2? (a) k (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/6 - g**3 + 9*g**2 - 14. Let w(o) be the second derivative of j(o). Calculate the remainder when w(-7) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.0988 (b) -10 (c) 29 (d) 5\/3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1257, -1244, -1231, -1218?\n\"Answer: 13*v - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -90*s + 1. Let o = -12678 + 12679. Determine t(o).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486160?\nAnswer: 2, 5, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*5*(sqrt(396)*-1*-3 - sqrt(396))*-5)**2.\nAnswer: 891000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -38. Let x = 21.8 + w. What is the second smallest value in -5, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:26 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*i**2 + 958*i**2 + 969*i**2 + 962*i**2 - 4812*i**2 + 960*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbbbbbbsbbb. Give prob of sequence bsbb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/8)\/3)\/(-4847*(-380)\/796480).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 39 = 0. Calculate the greatest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 - 21192640*d - 22456399508480 = 0. What is d?\nAnswer: -2119264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146929963?\nAnswer: 17, 8642939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/9 - 917864*x**2\/9 + 105433092602*x\/9 - 3155562453660.\nAnswer: 2*(x - 229331)**2*(x - 270)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10717, 21392, 32071, 42760, 53465?\n\"Answer: f**3 - 4*f**2 + 10680*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 3212202?\nAnswer: -3212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13298 + -22758336\nAnswer: -22771634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4246.87+144819.318\nAnswer: 149066.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 2*q - 11. Let k(x) = -x**2 - x - 6. Let l(h) = -78*h - 230. Let t be l(-3). Calculate t*u(g) - 7*k(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 14*c + 8. Let s be d(14). Let h = 0 + s. Let v = 5 + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + r + 2*r. Factor 0 + 8\/3*b**4 + 0*b**2 + 2*b**5 + 2\/3*b**3 + r*b.\nAnswer: 2*b**3*(b + 1)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -3\nAnswer: 122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxnxmxmxxnm. Give prob of sequence xmmx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467.9 - -465.9. What is the closest to 0.04 in -2\/15, g, 5, -14?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190\/157 + 16349\/11304. Let f = -5\/24 - i. Let d = -0.06 - 0.14. Sort d, f, 1 in descending order.\nAnswer: 1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82325 and 2405.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69363038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5649 + -1.4649. What is the smallest value in 9, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 - (15 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 - 257*c + 711 - 229 - 225.\nAnswer: -257*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 1543, 3466, 6145, 9574?\nAnswer: 13747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15481 - 1.7\nAnswer: 15479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -617614679 * -1.\nAnswer: 617614679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 40 = -48. Let n be k\/(-12) - (-3)\/18. What is the closest to 2 in 2, 4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjduj. What is prob of sequence ujj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*k - 1414 + 1006 + 2576 = -2566 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60663867937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = 5*p, 185*s = 181*s + 3*p + 15. What is the highest common factor of s and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 1384*y + 1383*y + 16.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-54)\/(-52))*3. Let z be (-2 + i\/(-5))\/(4\/10). Let g(s) = -z*s**2 + 7*s**2 - 4*s - s**2 - 1. Give g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 3. Let x be o(-2). Let g(d) = d - 2. Let t be g(4). Let w(f) = -x*f + 5*f + 2*f**t. Let j(m) = -m. What is w(j(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 49010\/25*-1*(-4)\/24*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2951*g**2 + 754*g**2 + 750*g**2 + 779*g**2 + 742*g**2.\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2755260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 1, d: 3, a: 1, l: 3}. What is prob of sequence ddda?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q. Let u(v) = 4*v**2 - 147*v. Calculate u(j(l)).\nAnswer: 100*l**2 - 735*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*-54 - -3. Let s be ((-10)\/25)\/((-1)\/h). Solve -s = v + 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 1\/5 (b) 3 (c) 23.11635\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:40 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, 25 in decreasing order.\nAnswer: 25, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 217, -66, -2, 3, 0 in descending order.\nAnswer: 217, 5, 3, 0, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 1.3 in increasing order.\nAnswer: -2\/3, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6 + (-2592)\/30)\/(1\/(-5)) and 7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 582, 27786, 73132, 136626, 218274?\n\"Answer: b**3 + 9065*b**2 + 2*b - 8486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 6. Suppose 4 = 4*u - 2*v, 2 = -u - 2*v + 3. Let g(f) = -5*f**3 + 10 - u - 2. Let b be 0 - ((5 - -2) + 0). Determine b*a(l) - 6*g(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88915997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -4. Let x = -15.35 + 15. Let f = -0.05 + x. Which is the nearest to 1? (a) -1 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2639 - 2636. Factor 2\/7*s + 0*s**4 - 4\/7*s**a + 0*s**2 + 2\/7*s**5 + 0.\nAnswer: 2*s*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u - u)*(-2*u**3 - 1 + 1) + u + 2*u**4 + 2 - 2.\nAnswer: 10*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 20. Suppose -7*o + 4*o + m = 0. Suppose 3*a + 2*a = -2*t + 83, o*a + 90 = 3*t. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxldxfxkx. What is prob of sequence kf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.4085kg to grams.\nAnswer: 588408.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + x**2 + (3*x**2 - 5*x**2 + 6*x**2)*(50 - 39 - 60) to t*x + f + v*x**2 and give v.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - 5*p)*(-4 + 3 + 0)*(0*p + 4*p - 3*p)*(2 - p - 2 + (64 - 5*p - 64)*(4 + 3 - 6)) + p**2 + 5*p**3 - p**2.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j + 3 = 96*j. Suppose 5*b = b + j*k - 52, 0 = k. Let l be (b\/182)\/(2 + -1). What is the second biggest value in -0.3, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3761*b**2*d + 11*b**2 - 10562037*b - 49041*d wrt d.\nAnswer: 3761*b**2 - 49041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7562699*k**3 + 3262*k - 171.\nAnswer: -45376194*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/7)\/((-12)\/84). Suppose -l + f + 9 = l, h = 3*l + 2*f. Solve 2 - 8 = 2*t, 3*t = -l*b - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -550 + -1530?\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phr when three letters picked without replacement from brbbbprhrrhrhbh?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/627266?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001807853306 rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/66740 and 55\/1695196.\nAnswer: 8475980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**7\/12600 - x**6\/1800 - x**5\/200 + x**4\/12 - x**2. Let o(p) be the second derivative of d(p). Solve o(y) = 0 for y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-12)*f**(-4\/7))**(7\/5) assuming f is positive.\nAnswer: f**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**4 + 1\/60*p**5 - 51*p**2 + 0*p + 0 - 1\/6*p**3. What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*t + 28, -j + 2 = -2*t - 9. Let u be (-727)\/(-8) - 3\/(-24). Calculate the highest common divisor of u and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let k = 0.091 - -4.009. Let c = -3.9 + k. Put 5, m, c in decreasing order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4705 + -1480. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:05 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -59, 11.\nAnswer: -117, -59, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 49*g - 323. Determine f(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + o = 5, -3 = 2*v - 3*o + 5. Put -5, 13, -4, v in ascending order.\nAnswer: -5, -4, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -0.2 (c) 16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58713523, 117427053, 176140597, 234854161, 293567751?\n\"Answer: y**3 + y**2 + 58713520*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -169481, -338963, -508445, -677927, -847409?\n\"Answer: -169482*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 - 112. Is j not equal to 0.053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/390 - (-2)\/13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose -87 = -5*a - 2*d - 837, 618 = -4*a + p*d. Let u = -430\/3 - a. Calculate the common denominator of 34\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177124 bigger than -177124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (21712\/(-483) + (-98)\/(-343))*(-1 + 20\/8)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1317, -1996, -2675, -3354, -4033?\n\"Answer: -679*c - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 882 - 875. Suppose 2 = -3*b + 11. What is the nearest to 0.1 in b, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426487410 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 10 = 14*a. Is -1\/22 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*(1\/5)\/(10\/(-25)*1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -749 + 3*i**4 - 735 + 1527 + 219 - 219 - 17*i**4 + (-5*i**2 + 3*i**2 + i**2)*(0*i + 2*i**2 + 0*i) + 3*i**4 + i**4 - 5*i**4.\nAnswer: -17*i**4 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*j**2 - 49*j**2 - 3*j + 1 + 24*j**2 - 3*j + 3*j - j**2 + (5*j - 2*j - 2*j)*(-j - 3*j + j).\nAnswer: -5*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g + t = -247, t = -2. Suppose -12*l + 13 = g. Sort -13, l, -4.\nAnswer: -13, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 16185?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6132 = -432*t + 3213 - 1162 + 4345 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230096667*j**2 + 69200744*j?\nAnswer: -460193334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16 and -63\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**3 - 13*r**2 + 7*r. Let u(w) = 3*w**3 + 4*w**2 - 2*w. Let s be ((-2)\/8)\/((-30)\/240). Calculate s*i(z) + 7*u(z).\nAnswer: 3*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1320, -1233, -1146, -1059, -972?\n\"Answer: 87*l - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005513132 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**6\/20 + 9*j**5\/20 - 9*j**4\/8 + j**3 - 32*j. Find z such that s(z) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 49*t**2 - 79*t + 34. What is u(-26)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-460)\/16*(-1 + 5). Let t = w + -11. Let k = -16 - t. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)*v*v\/(v\/(v*v*v**(1\/13)*v))*v*(v\/v**(-7))\/(v\/(v\/v**9)*v*v*v*v) assuming v is positive.\nAnswer: v**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.368821 to 2 dps.\nAnswer: -93.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4*m**2)*(m**2 + 4*m - 4*m) + (0*m**3 + 2*m**3 + 0*m**3)*(4*m - m + 0*m) + 4*m**4 - 6*m**4 + 0*m**4 + (4*m**3 + 4*m - 4*m)*(-2 - m + 2).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + i**2 + 0*i**3 + 3*i**3 - 2*i**3 + 1. Let n be h(1). Factor -1\/3*s**4 + 0*s**3 + 0*s + 0 + 1\/3*s**n.\nAnswer: -s**2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3988938 <= -3988931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -61*r**2 + 1949*r\/5 + 93576\/5 = 0. What is r?\nAnswer: -4456\/305, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -346? (a) -3 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*q + l, -4*q + 111*l = 116*l - 1 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1979045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 14*j**2 + 16*j - 29. Calculate g(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 10*t**2 - 5*t + 10.\nAnswer: 5*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 3441 (c) 2\/7 (d) 2\/5 (e) 0 (f) 0.3 (g) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19947087 is divided by 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*k = 10, -l = k + 2*k - 14. Suppose -l*h + 1 = -4*h. Which is the smallest value? (a) 4 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 5*q**4\/12 - 9*q**2\/2 - 26*q + 16. Let a(z) = -11*z**2 + 18. What is -4*a(m) - 9*g(m)?\nAnswer: -m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 75061, -0.1, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927295.\nAnswer: 5, 19, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -1\/126*p**7 + 1\/36*p**4 + 10*p + 0 + 0*p**2 - 1\/20*p**5 + 0*p**3 + 1\/30*p**6. Suppose s(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 + 27 = 0. Suppose -c + 0*c = y - 18, -q*y + c + 62 = 0. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.03.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -241880 and -0.02.\nAnswer: 4837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00755227091 to five dps.\nAnswer: -0.00755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 29*j**3 - 8 - 360*j**2 + 324*j**2 - 4*j**4 + 28*j - 9*j**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-164659)\/((-182)\/(-35) - 7 - 12\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.59 - -0.09. Put -2, -2\/7, c in decreasing order.\nAnswer: -2\/7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28664174 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640096129?\nAnswer: 127, 5040127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6318830.99923 - 6318733. Let x = 104.8 + -6.8. Let o = b - x. Round o to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2816, 3040, 3264, 3488, 3712, 3936?\nAnswer: 4160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45097974 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996746 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w - 1\/126*w**7 + 0*w**3 + 5\/36*w**5 + 4 - 5\/1008*w**8 + 1\/24*w**6 + 5\/36*w**4 - 5*w**2. Factor u(y).\nAnswer: -5*y*(y - 2)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - w**2 - 3*w - 11. Let c be 10 - (-2 + (-12)\/(-3)). Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -61, -4, -0.2 in descending order.\nAnswer: -0.2, -4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -188, -159, -132, -107, -84?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18477257.\nAnswer: 23, 803359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1503 + 790 + 760 - 43*u wrt u?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*j + 380*j = -319*j - 737 - 908 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/53 (b) -69 (c) 1\/3 (d) 22 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:17 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + (-11)\/(-11) - (2 - 25)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19253 is divided by 6416.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.92299 * 0.69\nAnswer: -0.6368631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(n + 0*n + n) + 0*n + 2*n + n)*(4 - 2*n - 4) + (-3*n + n - 4*n)*(-n - 3*n + 2*n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Let l = -25 + 57. Let r = -30 + l. What is the closest to -0.1 in -5, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8 - 5.6. Let o = -0.16 - -0.21. Let y = o + -2.05. Which is the third biggest value? (a) y (b) f (c) 7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2492300\/21 <= -118680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22237\/4092 - 6\/341. Let v = -64913\/347740133 - -3\/11789. Let g = v - -1386331\/412958. What is the common denominator of s and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 49*k - 7. Let c(z) = 16*z - 2. Suppose 0 = m + 4*f + 5, 21*m - 3*f = 20*m + 16. Calculate m*c(n) - 2*d(n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*b**3 - 84*b**3 + 358*b**3 - 138*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 1 - (-12 + 1). Which is the closest to 17? (a) -5 (b) 0.1 (c) r (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703953 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916355643?\nAnswer: 3, 7, 227, 192229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -25. Let z(i) = 3 - 2 + 2*i - 2 + i**3 - 4*i - h*i**2. Let y be z(5). Is -11 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -57409.91.\nAnswer: -57405.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k**2 - 445*k**3 + 410*k**3 + 51*k**2.\nAnswer: -35*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 - 73*a - 452. Let f be n(-7). Let b(l) = l**3 - 13*l**2 + 29*l + 10. Give b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -1\/5*a**5 - 1\/8*a**4 + 0*a**2 + 0*a + 0*a**3 - 1\/12*a**6 + 47. Factor g(d).\nAnswer: -d**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f)**(-14))**(-15\/8)*f**3\/((f*f**(-2\/15)*f)\/f)*f**(-3)\/(f\/(f\/(f*f**(-2)*f))) assuming f is positive.\nAnswer: f**(-1177\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-173)\/(2*1*1\/(-2))?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/9*546\/104.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -74, 1, 3143.\nAnswer: -74, 1, 13, 3143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Let p(l) = 3*l - 6. Let q be p(t). What is the tens digit of -10*(q - (-11)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -6\/91, -2\/11, -160?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/51)*k*k\/(k*k**(-1\/3)))\/(((k**10*k)\/k)\/(k\/(k\/k**(-15)))))**(-1\/39) assuming k is positive.\nAnswer: k**(31\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45394263 and 5253.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 8*l. Let v(x) = x**2 - x. Let o = 16941 + -16935. Give o*v(r) + p(r).\nAnswer: 14*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-2\/29)*t)*t**(1\/9)\/t*(t\/t**(-2))\/(t\/(t\/t**(1\/9))) assuming t is positive.\nAnswer: t**(60\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 92 (b) 2 (c) 0.07 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -55?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0133107623 to four decimal places.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*r**4 - 599*r**3 - 493*r**2 - 32*r - 1 wrt r.\nAnswer: -960*r - 3594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 28*x - 5. What is y(-3)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(3 + 9) - 0. Let a = -31 - i. Let k(j) = 4*j - 2. Let m(y) = -y. Give a*m(p) + k(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/4 - c**3 + 8*c**2 - 5*c - 50. What is the tens digit of y(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170158901 by -72193.\nAnswer: -2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 516*c + 512*c - 16622 = 0, -5*n - 5*c + 41630 = 0. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 358*b**2 + 1445*b + 1086.\nAnswer: -(b - 362)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from wauuwuaaawuuawwauuau?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/12 - (-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 + 51*g - 95*g + 46*g)*(4*g + 1 - 1).\nAnswer: 8*g**2 - 420*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8) + 47\/(-2). Let m = d + 27. Let t = 105 + -102. Calculate the highest common divisor of m and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.08 + 0.08. Let o be 3 + 1228\/(-252) - -2. Let h = -5\/9 + o. Which is the closest to 0.14? (a) g (b) -2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 8*b - 1. Let i(n) = n - 3. Let d be i(6). Suppose -d*f = 2*f + 35. Determine t(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)\/s)\/s*s**(6\/11)*(s*s**(-5))\/(((s**(-7)\/s)\/s*s)\/s) assuming s is positive.\nAnswer: s**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + 18.97. Let z = 19 - r. What is the closest to -2\/3 in z, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14417930 divided by 49717.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/6 - ((-1246)\/84 + 14). Is m - (-2709)\/(-14)*-18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 11*y**2 + 7*y - 13. Let u be t(-11). Let r = 106 + u. Calculate the lowest common multiple of r and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c*r**2 - 6155*c - 10*r**3 + 2038*r**2 + 13 wrt r.\nAnswer: 12*c*r - 30*r**2 + 4076*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/21)\/(-4 + 95\/20).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/65)*g*g*g**(-2\/5)*g*(g*g**(-2\/13)*g*g)\/(g\/g**1) assuming g is positive.\nAnswer: g**(352\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -23.1 (b) 1 (c) -3 (d) 2 (e) -1 (f) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**9*(p**0)**(-44) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 66 - 24 = 0. What is the least common multiple of (-10)\/z - 10\/(-15) - -37 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 465331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 950 = -2*b. Calculate the lowest common multiple of (b\/(-57))\/(1\/(-3)) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 15*u**2 + 2*u - 19. Let i be g(15). Let f = -59 + 64. Solve 35 = 3*c - f*n + 6, -3*c - i = 5*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/144*1*(-4)\/2. Put s, 2\/3, 0.1 in ascending order.\nAnswer: s, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 70*m**2 - 5*m - 2. Is 9 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 8*w**2 - 9*w. Let j be h(-9). Let y be j + (1 + 1 - 3). Which is smaller: -1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.7 + 0.7. Let j = -8 - i. Which is the closest to j? (a) -4\/3 (b) -3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - h = 18, -1230*m + 3*h + 32 = -1226*m. Solve 1 = b - 37*q + 33*q, 3*q = 2*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -5*z + 8, z = -2*k + 10. Determine n so that 5 - 5*n**5 - 19*n**2 + 26*n**4 - 21*n**4 - k*n + 10*n**3 + 9*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 2)\/((-15)\/12). Suppose t*j = -7*j + 6842. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -416 + 412. What is the third biggest value in -6, 1, -4\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.093\nAnswer: 0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3676 (base 12) to base 14\nAnswer: -2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-450) - (3804\/378 - (-2)\/(-7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232492 and 789.\nAnswer: 697476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9209, -18374, -27487, -36548, -45557?\nAnswer: -54514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*-1)\/(-3*sqrt(18)) - ((5*(-2*sqrt(84) - sqrt(84)))\/(2*2*sqrt(12)))**2.\nAnswer: -1575\/16 + 5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -45*l + 9. Let z(f) = -113*f + 18. Let d(i) = 5*s(i) - 2*z(i). Give d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*p - p - 7, 4*p = -s - 13. Let q = -4 + 3. What is the nearest to p in 0.5, q, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(2\/(-3))*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -1294.188.\nAnswer: 1294.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400050 and 26670?\nAnswer: 400050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**7\/147 + h**6\/35 + h**5\/35 - h**4\/21 - h**3\/7 - h**2\/7 - 3*h + 3. Let b(q) be the first derivative of x(q). Factor b(d).\nAnswer: 2*(d - 1)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g**2 + 11*g. Let r(b) = -54*b**2. What is l(r(u))?\nAnswer: 52488*u**4 - 594*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -15, -17, -19?\n\"Answer: -2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {f: 1, x: 2, h: 5, o: 5, l: 4, b: 3}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*h**3*n - 24523471*h**3 - 53151*h*n + 341*h + 2 wrt h?\nAnswer: 66*h*n - 147140826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13974 and 918?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161\/3 - -53. Put 2, -0.3, z, 1 in decreasing order.\nAnswer: 2, 1, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 8*q + 4. Let h be o(-3). Suppose -13071 = -28*k + h*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**3 + 73599*s**2\/4 + 9408021*s\/2 + 3916815\/4.\nAnswer: 3*(s + 511)**2*(24*s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2232 divided by -12.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -565204, -1130453, -1695702, -2260951, -2826200, -3391449?\n\"Answer: -565249*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 72\/7*h**5 - 144\/7*h - 276\/7*h**4 + 0 + 1056\/7*h**2 - 1108\/7*h**3 = 0.\nAnswer: -3, 0, 1\/6, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c + 46?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-980))\/4*18\/(-135)*1*25\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 5, t: 2}. Give prob of sequence fff.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l)**(-40\/9)*(l*l*l**(-2\/5))**(-7) assuming l is positive.\nAnswer: l**(-904\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13578*m + 13558*m - 4 - 27130*m.\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -723, 1, 32, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67055\/12 - -5598. Find the common denominator of w and -11\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 610\/7, 39, -5\/4?\nAnswer: 610\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 7385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 27*q**2 - 280*q + 2. Let v be j(35). Solve 5*h = v*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50287 + 50287 - 612758*y**3 + 612759*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -1\/2 (b) -1 (c) 4 (d) -112 (e) 1\/6 (f) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148481902 is divided by 253?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126 and 441150.\nAnswer: -55584900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1729 - -0.0385. Let k = 0.0344 + n. Which is the third smallest value? (a) 3 (b) 1\/4 (c) 1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 2 u when four letters picked without replacement from {u: 6, v: 3, j: 4}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 2*x**2 + 2. Let g be i(-2). Let v = -4 + g. Let w(u) = 11*u - v*u + u - 7*u. Let h(c) = -14*c. Give h(w(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5*k + 2)*(543*k - 289*k - 140*k)*(-k - 7*k + k).\nAnswer: -3990*k**3 + 798*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4036637891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.143 - -64.857. Let u = -734818.0106 + 734883. Let d = u - o. What is d rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003894 to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2826, -4, -2, -1, 10, 4 in decreasing order.\nAnswer: 2826, 10, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4649769 nanograms to grams.\nAnswer: 0.0000000004649769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 + 363. Suppose -4*d - b = -d - o, -3*b - 107 = -2*d. Calculate the highest common factor of 29 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 231\/49) + (-4)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(2) + sqrt(12))\/(-1*1*sqrt(6)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 7) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 58741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 2*q + q)*((q + 3*q + 2*q)*(-2*q + 0*q + 0*q) + 3 - q**2 - 3) as l*q**2 + m + k*q**3 + z*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.66947 rounded to 2 decimal places?\nAnswer: 3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/23 - 1616*n**3\/23 + 1105890*n**2\/23 + 1110728*n\/23 - 2215000\/23 = 0. Calculate n.\nAnswer: -1250, -2, 1, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633941933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7050.147 centimeters to kilometers.\nAnswer: 0.07050147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1\/3, -0.8 in increasing order.\nAnswer: -11, -0.8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -3. Let g be 18\/c*40\/15. What is the second derivative of -2 - 3*t + 2 + g*t + t**4 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 77936 = -2*c - 10038, 0 = -3*c + 2*l + 101807. Is 35 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785 + (2 - -1)*1?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 6*u**3 + 0*u**3 - 4*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*v + 285*v + 6 = -q, 0 = 4*q - 5*v + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2947 is divided by 304?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -11 (c) 0.4 (d) 0.117 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/28 and 45\/184.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((24075\/10)\/(-15))\/(-81) and 37\/51?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*(-2)\/(-4). Is 2\/5 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -23301?\nAnswer: 23306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 13*y**2 + 4*y + 8. Let x be t(12). Suppose -3 = 5*n - 2*r - 238, -5*r + x = 5*n. What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -175*v - 179*v + 352*v. Let b(k) = -k**2 - k. What is 2*b(z) - q(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181827421\/6864 + -291388\/11. What is the common denominator of o and -97\/132?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317 by -17.\nAnswer: -317\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 7*b**2 - 6*b + 3. Let g be m(6). Suppose 4*f - 2*f - 4 = 0. Let j = f + g. Solve v + 5*r = 3 - 21, -r = -j*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -22, -14, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voeeov. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 4*q**2 - 8*q - 4. Calculate the remainder when g(4) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 + 48*h**2 + 20*h**2.\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millisecond in microseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01025817359 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 15*c - 19467*c**2 - 8*c + 19500*c**2.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1870 and 9\/4.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 15 + 3*f + 43)*(4 - 4 - f**2) to k*f**3 + n + x*f**2 + z*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = -b - 3, 3*b - 6 = 3*u. List the prime factors of (-1 + u)*1173\/(-46).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-8) + 1\/8. Which is the nearest to g? (a) -0.2 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.164427 + 45.17. Round o to 4 decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(150))\/sqrt(6))\/sqrt(5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 11*y**2 + y + 15. Let u be l(-11). Suppose u*g = g + z + 46, 0 = -3*g - 4*z + 56. List the prime factors of ((-45)\/6)\/((-6)\/g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 4 - -15) + 2. Suppose -3 - z = -5*a. Solve -5*f + o + 0*o + 12 = 0, a*o = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 12*n - 12. Let z be v(8). Let y = 1 - 0. Suppose -y = -4*o + 11. Solve -t - z = o*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-12))\/1)\/((-8)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 3*b + 3. Let r be p(3). Suppose -4*h + 3*l = 6*l - 59, 3*h - 18 = r*l. Suppose 3 = -2*g + h. What is the lowest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose -5*x + 112 = -h*z + 373, x - 54 = -z. Let l = 16 - -14. What is the remainder when z is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794551.\nAnswer: 11, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((30\/3)\/((-22)\/(-33)))\/3. Suppose b*i = 5*t, -2*i = -t - 0*i. Solve z + t*z - 4 = 0, 3*a + 3*z = 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7772.65ng in micrograms?\nAnswer: 7.77265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, o: 1, g: 4}. What is prob of sequence oxxg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -61\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - 4*d - 30, 2*d = -8. Let z be (-4)\/h + (-9588)\/(-42). Suppose 3*t - 6*t + z = 0. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)\/(-2 - -1)*-3. Suppose 3*t + 5*o = -54, -c*t - 2*o - o = 54. List the prime factors of 3*(-3)\/t*(155 + 3).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, b: 1, q: 1, o: 1, w: 1}. What is prob of picking 1 i and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 15*a + 16. Let h be x(14). Let u = 12 - 8. Suppose -60 = h*l - u*l. Calculate the remainder when 88 is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - -23?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14005*b - 13997*b + 28048*b.\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**4 + 11*u**4 + u**4 + (-1788 - 66*u**2 + 1788)*(-u**2 + u**2 - 3*u**2) in the form b*u + r + o*u**2 + y*u**4 + x*u**3 and give y.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1. Let l(d) = 12*d + 1. Determine g(w) - l(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + ((sqrt(190) - (sqrt(190)*-2 + sqrt(190) + sqrt(190) + sqrt(190)))*1)\/((sqrt(120)*-1)\/sqrt(12)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 15, -19976 = -3*l + a + 11094. Suppose -13*v + 6467 = -l. List the prime factors of v.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10158.6754?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554479.\nAnswer: 647, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51866751 to the power of 1\/2, to the nearest integer?\nAnswer: 7202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2566 - -0.0434. Which is the smallest value? (a) t (b) -2\/5655 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11495 (base 10) to base 13\nAnswer: -5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**3. Let j be i(-1). Suppose -5*c = j + 27. Let p = 23 + c. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 8. Let p be (-1 - (-9 + 9))\/((-1)\/(-14)). Let n be c(p). Let u = 70 + n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/20 + 2*y**4\/3 - y**3\/3 + 6*y**2. Let l be w(5). Solve -5*j = 3*f - 7, 0*j - l*j = -2*f - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.291607ns to hours.\nAnswer: 0.0000000000031365575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(18*l**2 - 23 + 23)*(-1 + 1 + l**2).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -110853*y + 101. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 48*c**2 - 51*c.\nAnswer: 3*c*(c - 1)*(c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/7))\/d**(-14) assuming d is positive.\nAnswer: d**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + 42*i**2 + 14*i - 933. What is b(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 217312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.66 + 1.56. Which is the second biggest value? (a) 5 (b) -2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3096, 4, 1\/110?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11) - sqrt(11))*1 - (sqrt(396)*1 + sqrt(11)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 2 = 4*o, -u = -o - 1. Solve 8 = -o*n + a, 4*n - 7*n + 3*a = 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(6)\/(sqrt(9)\/sqrt(3)) - (sqrt(2) + (sqrt(2) - (sqrt(504) + sqrt(14))\/sqrt(7)))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - -3) - (31 + -39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -617 + 3*g + 509*g**2 - 511*g**2 - 3*g + g to the form y + b*g + f*g**2 and give y.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 - 2*f - 4. Let y be p(3). What are the prime factors of (-1)\/10*y*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-12) + 8 + (-5)\/(-21).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 673*i**4 + 9957?\nAnswer: 2692*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 104. Let j(o) be the first derivative of -o**2\/2 + 11*o - 9. Give j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 390 - 47165*y**3 + 42161*y**3 + 330 - 241 wrt y.\nAnswer: -15012*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 6870. Let l(n) = 3*n**2. Give b(l(g)).\nAnswer: -3*g**2 - 6870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 1886*g**3 - 3 - 622*g + 1394*g - 62*g + 944*g wrt g?\nAnswer: 11316*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1758414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741635.\nAnswer: 5, 23, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49177 is divided by 22606.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.2, 169.5, 1\/4, -565, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1067732 + -4933936. Let p = -3866181.00043 - c. Let l = -23 + p. What is l rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*g**3 + 60*g - 654*g**3 - 60*g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112444 (base 6) to base 16.\nAnswer: -1924c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -74562*y**2 + 74561*y**2 - 1 - 22*y - 215*y - 25*y**3 in the form l*y + o*y**2 + j*y**3 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3258223*n**2 + 3 - 3258223*n**2 + 16 + 115*n - 7250*n**4 wrt n?\nAnswer: -87000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 16644 (c) -2\/13 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4 - 8\/3*u**3 - 20 + 0*u**2 + 0*u. What is the third derivative of l(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3131, -3129, -3125, -3119?\n\"Answer: x**2 - x - 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s - s)*(-1 - 6 + 2 - 1 - 4 - 3 + 2 - 6 + 2 + (3 - 3 + 1)*(-1 + 1 - 2) - 3 + 3 + 1) to n + p*s and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -46. Let m(o) = 1. Let c(a) = -12*a**2 + 10*a + 6. Let b(f) = -f**2 + f + 1. Let d(s) = 10*b(s) - c(s). What is p*d(g) + 4*m(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147)*3 + (3 + sqrt(147))*2)**2.\nAnswer: -84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 4*o. Let q be f(-3). Let i be 65 + 2\/3*q. Let p be (625 - 613) + (-8 - -3). What is the highest common divisor of p and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y. Let h(i) be the third derivative of i**7\/2520 + i**4\/12 - 2*i**2. Let v(s) be the second derivative of h(s). What is a(v(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + 0.05. Suppose -5*v - 5*d - 2500 = 0, -5*v - 4*d = -0*d + 2498. Let h = v - -3487\/7. What is the third biggest value in g, -4\/3, h?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 295. Let v = 69 + d. Let r = 92.1 + v. Round r to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 - 6*r. Let f(b) = 20*b**2 - 2*b**2 - 2*b**2 + 4*b**2 + 17*b. Let q(a) = -6*f(a) - 17*g(a). Let x(l) = -l**2. What is x(q(j))?\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5480 - 5480. What is the closest to i in 34, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 92*j**2 + 985*j + 43. What is k(-55)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-6))\/t*t\/((t**(-2\/5)*t)\/t))**(-7))**26 assuming t is positive.\nAnswer: t**(-7644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - t. Determine m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 94\/7)*-7. Let m be (g\/8)\/((-6)\/(-16)). Suppose -15 = -i + 3*q, 2*i + q - m = 15. 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: In base 8, what is 16 - 12536?\nAnswer: -12520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 2*t = 0. Solve t = 4*o - 6*u + 11*u - 6, 4*o - 3*u - 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 136*c**3\/3 - 5*c**2\/2 - 842*c + 72. What is the first derivative of l(o) wrt o?\nAnswer: 272*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21\/1031 + -442446\/7217. Let v = 61 + g. What is the third biggest value in v, 0, 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 3*s = -648. Let x be -6*((-2)\/(-3) + 0). Is x at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 14*m + 24. Suppose -h - 18 = -6. Let g be r(h). Find the second derivative of 4*z - 480*z**2 + g*z**2 + 7*z**3 wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 80 = -5*r. Let w(a) = a**2 - a + 2. Suppose 0 = 4*k + 6 - 2. Let s(o) = -o. Let j(u) = k*w(u) + 6*s(u). Determine j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1911612, 12, -1 in descending order.\nAnswer: 1911612, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -405, -529, -591, -585, -505, -345, -99?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -10 + (-1 - (14 + -6)) + -34 + 25?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76814 + 279080 = 22*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - 11.09. Let d = -1.1 - -1. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.28, 112, -3 in increasing order.\nAnswer: -4, -3, 0.28, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (11 - 113) + 6 - -36.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 0.01, 2\/5, 4\/9, -0.4 in descending order.\nAnswer: 4\/9, 2\/5, 0.01, -0.4, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from llllvlvvlallv.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135694546?\nAnswer: 2, 13, 47, 111043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = -15 + 117. Is (-3 - (-891)\/2) + (-9)\/t a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 130.6, -5908?\nAnswer: -5908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 21*x + 99. What is the units digit of p(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-24))\/(2 - 26\/6). Do j and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 5*b**2 - 5*b + 19. Let d(g) = g**3 + 3*g**2 + 2*g - 10. Let c(q) = 5*d(q) + 2*z(q). What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/70)\/((-99)\/(-55)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.8378 + 6.8366. Let p = 19 - 33. Let i = p - s. What is i rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -5\/34*r**4 + 20\/17*r**2 + 1\/255*r**6 - 1\/85*r**5 - 4\/51*r**3 + 0 - 27*r. Solve m(o) = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 275. What is the second biggest value in 0.3, 0.41, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 2. Let l be y(21). Suppose -39*p = -l*p + 20. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = 2*h - 3316, h + 2*v - 1661 = 0. List the prime factors of h.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 122 + 139 + 3768*x - 406 + 145 in the form p + g*x and give g.\nAnswer: 3768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 47 + 39 + 25 - 17.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let z(p) = -19315246*p. What is o(z(j))?\nAnswer: 38630492*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 194*w - 190*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.9 (b) 48579 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-117)\/(-54))*(-1168)\/(-210). Let v = p + -53\/9. Factor 3\/5*g**4 + 9\/5*g**3 + 0 + v*g + 9\/5*g**2.\nAnswer: 3*g*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2595 + -487. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/8 - (-1)\/(-2). Suppose 5*j = s + 154. Let c be (1\/3 - 0)*153. What is the greatest common factor of j and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 957*b**2. Let a(i) = -2*i + 12. Let q(c) = 26*c - 168. Let l(h) = 14*a(h) + q(h). Calculate l(s(u)).\nAnswer: -1914*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let i(d) = 2*d + 2. Let r be 5 - (2 - (-4 - (0 - 0))). What is r*i(l) - 3*w(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 849*a**2 + 67636*a - 3158. Calculate n(-760).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 8:19 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -1*2)\/(-2). Suppose 2*g - i*g = -60. Suppose -g = -2*o - 2*q, 5*o = q + 65 + 73. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 - 5*m - 14. Suppose 0 = 3*w + 2*p + 30 - 8, 0 = 3*w - 2*p + 14. What is the least common multiple of o(w) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3756 = 294*f + 5777 - 1889 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(1\/44)))\/n*n)**37\/(n**(2\/23))**4 assuming n is positive.\nAnswer: n**(-1203\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*d - 3, 3*d - 33 = -3*q + 18. Suppose 0 = -3*u - q, n - 8 - 12 = -3*u. What is the greatest common divisor of 128 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -2\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*j**3 + 6*j**2 - 4\/3*j + 0.\nAnswer: -2*j*(j - 2)*(4*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31837107.\nAnswer: 3, 17, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:48 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 3422?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microsecond in nanoseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 0 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19801 is divided by 419?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 + 35228547 - 35228547.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.62 - -5.02. What is the third biggest value in 4, 1.7, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 + -2. Let l = c - 3.9. Let q be (-528)\/(-112) + -5*1. Is q smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -6, -0.13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 12*p - 51. Let d be y(-23). Suppose 656 + d = 6*r. What is the highest common divisor of r and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5318 + 1235. Suppose 16*s + a = 17*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.6 in 576, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.8411 millennia in decades?\nAnswer: 65384.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 0*z + 4*z - 8*z + 6. Let f be l(6). What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/3 + r**2 - 725*r. Let d(g) = g**2 + 2*g. Let f be d(-3). Suppose 1 - 13 = -f*w. Calculate u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -556, 0, 4 in descending order.\nAnswer: 4, 1, 0, -6, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 5*c - 8514. Let g be q(96). What is the greatest common factor of g and 20313?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*o - 208*o - 303*o)*(-1 + 1 - 1) - 2 + 2 - o.\nAnswer: 172*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36450 and -55\/5832.\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 11*m**2 - 36*m - 4. Let z be t(-6). Suppose 174 = -z*f + 33*f. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213490*f**2 - 24631*f - 3?\nAnswer: 426980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*q = 8, 0 = -4*d - 0*q + 3*q - 6. Suppose -5*j + 12 = 2*v - 46, -v - 3*j + 29 = d. What is the highest common divisor of v and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {s: 2, r: 5, m: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 18 = -2*j, -4*s + 2092*j - 2083*j = 65 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1077958?\nAnswer: 1\/1077958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -38.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2*h**2 + 2*h**2)*(-25*h**2 - 35*h**2 + 87*h**2).\nAnswer: -27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-4*h**2 - 3*h**2 + 6*h**2)*(4 + 4 - 2).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 90 = 3*d. Let z be 3\/d*(-4 - 58\/(-12)). What is the nearest to -2\/7 in -4, z, -3, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*s + 40 = 0, 10*i = 7*i + 4*s - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1605 + -2447?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263180 by -1.\nAnswer: 263180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.06 - -21.14. Let r = p + -30.2. Sort 2\/5, 0.2, r.\nAnswer: r, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) 4\/3 (c) 2\/133 (d) -0.4 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13343264 (base 7) to base 3.\nAnswer: 2022212210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-4) - (-18)\/(-12). Suppose 0 = 2*c + l*t - 26, 2*t = 3*c + 21 - 98. Calculate the remainder when 133 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - 1 - (1 - 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(18\/(-15))*1\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*s - 218*s = -168030276 - 56837011. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 + -122. Suppose -16*k = -j*k. Suppose k = 5*h + 43 - 68. Solve h*o = 4*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/5 - (-19)\/(-95))*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337606 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 652 divided by -20\nAnswer: -163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 - f. Suppose -14*t - 52 + 10 = 0. Determine r(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 36.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15776.54 micrograms?\nAnswer: 15.77654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20482495, -20482497, -20482493, -20482477, -20482443, -20482385, -20482297, -20482173?\nAnswer: -20482007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*p - 90*p + 2*n - 8, 5*n = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 266 = -70. Let i = 66 + o. Calculate the remainder when 17 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -33. Let v = 26.9999925 + l. What is v rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let u = 3 + a. Let m be (6\/4 - u)*0. Is m at most -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 5*b**2 - 10*b - 3. Give y(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -2, 5*n = -5*y + 5. Let m(s) be the third derivative of 0 + 1\/120*s**6 + 0*s**4 + 0*s + 1\/60*s**5 + 0*s**3 + 2*s**y. Factor m(z).\nAnswer: z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 95, -0.1065, -22, 1\/2 in descending order.\nAnswer: 95, 5, 1\/2, -0.1065, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 3 (c) -0.3 (d) -1 (e) 406 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15475694*j**2 - 3*j + 16652102?\nAnswer: 30951388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83466100.\nAnswer: 2, 5, 317, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 259324 divided by 129662\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 + 1. Let t(u) = -62*u**3 - 2*u**2 + 3. Give t(b) - 3*x(b).\nAnswer: -59*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 + 19*u + 21. Let v(i) = 4*i**2 + 18*i + 20. Let q(j) = 4*v(j) - 3*w(j). Let o be q(-14). Solve o*h + 13 = -0*t - 4*t, -2*t - 5 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86618*l**4 - l**2 - 529523*l wrt l.\nAnswer: -1039416*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:55 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -174. Factor 14*r + 16 + 2*r - x*r**2 + 82*r**2.\nAnswer: 4*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/23 (c) -2\/583 (d) -1 (e) 0 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87375, 87368, 87351, 87318, 87263, 87180?\nAnswer: 87063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75.16888 and -46061038?\nAnswer: 46061113.16888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340 is divided by 1446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 426*n - 1. Is i(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000031812 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -318 + 708. Let j = s + -1481\/4. Let k = -20 + j. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6231 and 23627550?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6090, -6086, -6080, -6072, -6062?\n\"Answer: v**2 + v - 6092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248598 and 213084?\nAnswer: 1491588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26803, -26783, -26753, -26707, -26639, -26543, -26413?\n\"Answer: s**3 - s**2 + 16*s - 26819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60294.13 millilitres?\nAnswer: 60.29413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 14*q + 7. Let i be d(20). Suppose 4*w + 2*t - 6*t - 1516 = 0, -377 = -w + 3*t. Let v = i - w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666361 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903354?\nAnswer: 2, 1451677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 x, and 1 e when four letters picked without replacement from eweeeexweweweeeeexw.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(19)*4)**2 + (1*sqrt(38))\/sqrt(2)).\nAnswer: -1520 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*s + 45 = -0*s, -4*k - 4*s - 12 = 0. Calculate the remainder when 46*-3*1\/k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -869 in 2, -4, -0.5, 4, 2\/3727?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34\/18 + -2)*-3 - (-161)\/(-966). Which is the third biggest value? (a) l (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 25 = 0. Let i(m) = -m + 2. Let w be i(j). Suppose 4 = -0*k + 2*k + u, 0 = 5*k - u - 17. Solve -3*o + 9 = k*h, 10 = 3*h + 5*o - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2285622098 and -0.21.\nAnswer: -2285622098.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83239 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 17*r**2 - r + 17. What is g(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -116.89. Put a, 6\/5, 0.2 in descending order.\nAnswer: 6\/5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**2 + 5 - 2\/3*q**3 - 10*q. Calculate l(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/4 - 3741*j**3\/4 + 77109*j**2\/4 + 929632149*j\/4 + 1394050851\/2 = 0 for j.\nAnswer: -841, -3, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikkkkkkkmkkkkkkikkk. Give prob of picking 4 k.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - (-75)\/12. Let u(b) be the first derivative of b**4\/4 - 5*b**3\/3 - 4*b**2 + 5*b + 20. Calculate u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6930 = -1054*j + 1065*j. Calculate the greatest common factor of j and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:47 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*g - 8 = 2*g, -5*z - 4*g + 16 = 0. Let n = 2 - z. Suppose n*o - 2 = o. Solve 0 = 3*t - o*u + 4*u + 12, -5*t - 5*u - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(0 - -4) + 68. Suppose -q*a + 73*a - 2 = 0. Sort -4, -8, a in decreasing order.\nAnswer: a, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times -6003?\nAnswer: 2581.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 20*y**2 - 5*y + 20.\nAnswer: 5*(y - 4)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-18))\/((-1)\/32848). Suppose 0 = -3*q - 16014 - 5862. Let d = q + o. What is the common denominator of -52\/11 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dbc01 (base 14) to base 16.\nAnswer: 81de9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5801 and -1.\nAnswer: -5802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 7:11 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1249846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 3*u**2 + 6*u + 1. Let q = 99 - 103. Calculate m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -352*o + 40. Suppose -60 = 8*x - 10*x. Let j(w) = -w**2 + 32*w - 40. Let l be j(x). Let h be a(l). What is h rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/(-48) + 0 + (9306\/(-47))\/1584.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((1106\/(-790))\/(2 + (-56)\/30))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -39, -82, -121, -144?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/((b*b**(-3\/2))\/b))\/((b*b\/(b**(-1)*b))\/(b*b**(-1\/2)*b*b)))**(-5\/8) assuming b is positive.\nAnswer: b**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49846, 99691, 149534, 199375, 249214, 299051?\nAnswer: 348886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p - 4 = 0. Let w = -6 - p. Let c = 2 + w. Are -3 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614900 divided by -2365?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 3.2. Let n = 324 - 159. Let q be 7\/22 - (-30)\/n. What is the second smallest value in 2\/7, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80135 take away 2?\nAnswer: -80137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441 divided by -90059.\nAnswer: -441\/90059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -5. Solve 0*k - l = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 87, 132, 177, 222?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(147))*-4 + -2)**2 + -4 + (-3*(-3*(1 + sqrt(147)) + 4))**2 + -5.\nAnswer: -266*sqrt(3) + 14263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**3 + 36*a**2 - 52*a - 71. Give n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 62.05*-6\nAnswer: -372.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from dldll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19*s**2 - 9*s - 11. Let d(k) = 56*k**2 - 24*k - 32. Determine 3*d(o) - 8*w(o).\nAnswer: 16*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o - 1. Let b be r(-7). Solve b = d - 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58916, 235816, 530704, 943580, 1474444, 2123296?\n\"Answer: 58994*k**2 - 82*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035568 is divided by 26540.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 19, 21, 19, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 98484 and 0.3?\nAnswer: 98483.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1328500 - 834707. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47537, -47513, -47471, -47411, -47333, -47237, -47123?\n\"Answer: 9*c**2 - 3*c - 47543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d + 42. Does 6 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 38. Suppose -d = -3*b + 2*b. What is the units digit of 21\/(-2)*b\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -0.32637?\nAnswer: 0.07363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from nfcfcfcccdffcgkccc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1011, 1860, 2395, 2460, 1899?\n\"Answer: -26*l**3 - l**2 + 1034*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = -14*d + 108 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40822336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkhrlwul. Give prob of sequence rlku.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v*v)\/(v**(-1\/2)\/v) assuming v is positive.\nAnswer: v**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -1032\/11. Let s(h) = h**2 - 6. Let r be s(3). Let m be (-10)\/(-30)*r\/4. Are m and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1262173?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -300241*r + 39331574. What is u(131)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 55*p - 46. Let n be k(-2). Let f be n\/(-9)*9\/6. Solve 23*q = f*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o)\/o**(2\/9)*(((o*o**(-3\/5))\/o)\/o)\/(o**(-5)*o)*(o\/(o*o**0))**(15\/4)\/(o*o\/(o\/o**(-1)))**(1\/11) assuming o is positive.\nAnswer: o**(-82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 17*l - 13*l + 689616, -689612 = -4*m + 3*l. What is m rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30182631 to the nearest 100000.\nAnswer: 30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 18*l - 92. Give j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -108. Let d = k - 76.4. Let i = d + -37. Round i to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*o + 49 = 0, 4*z = -4*o + 55 - 3. Let d be -19*3\/z - -4. Which is the closest to -1? (a) -0.4 (b) d (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8907, 35028, 78553, 139476, 217791, 313492, 426573, 557028?\n\"Answer: -l**3 + 8708*l**2 + 4*l + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -137, -133, -129?\n\"Answer: 4*q - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40020 divided by 1?\nAnswer: -40020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33144 is divided by 602?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 30*d**2 - 63*d + 198. Let y(h) = -h**2 - 117*h - 3392. Let x be y(-60). Give j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.6 + 52.8. Let u = -5.8 - w. Let a = 31.7 + u. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*p + 10 = 0, -l + 5*p - 5 = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -4781?\nAnswer: -4782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = o + 5*z, -23979*o + 24 = -23978*o + 7*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 282*f - f**2 - 282*f. Let l(u) = 4*u**2. Determine r(l(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x - 12*x + 4*x)*(0 - 3 + 5) to the form c + v*x and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*f - 16 = 0, b + f - 12 = -4*b. Find the third derivative of 22*d**3 - 2*d**3 - 20*d**3 + 66*d**b - 44*d**4 wrt d.\nAnswer: -1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*g - 10 = 0, -5*g - 11 = -3*l + 4*l. Let h = -8 - -3. Let m = 473 - 471. Sort m, h, l.\nAnswer: h, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.41 or -3?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 0*h + 4*h + 3 - 10*h - 16. What is g(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.54 + 3.62. Let n = -0.16 + a. Sort n, 1\/14, 2 in descending order.\nAnswer: n, 2, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s + 6. Let p be s\/4*(-32)\/24. Find c, given that c**3 + 0 + 2\/3*c**p + 0*c + 1\/3*c**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49992*m + 49992*m + 5*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112307 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1)*(-7 + (-121)\/(-220)*12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13005049 divided by 5?\nAnswer: -13005049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*d - d = -168, 2*d + 170 = 3*n. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 553*c**2 + 32013*c + 594. Determine k(-194).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:03 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*d**3 + 306\/5 + 6*d**2 - 198\/5*d = 0. What is d?\nAnswer: -51, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 249411192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:53 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17\/5 (b) 2\/11 (c) -0.2 (d) -8 (e) 5\/2 (f) -3 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7511 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 969, 1583, 2197, 2811?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263*k**2 - 305*k**2 + 892*k**2.\nAnswer: 1850*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -40, -86, -168, -298, -488, -750, -1096?\n\"Answer: -2*o**3 - 8*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 14\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49069935727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/60 + v**4\/4 - 5*v**3\/6 + 4*v. Let n(d) be the second derivative of w(d). Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -25) + 20 + -4 + 38 + 0.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k. Let w(t) = -23*t. Let p(s) = -s**3 + 4*s**2 - 8*s + 6. Let a be p(3). What is a*j(y) - 4*w(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = -2*c + 16, -2*i + 8 = -4*c. Suppose -6*u = -7*u + 2, 2*k + u - 44 = c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 48856*u - 244225. Determine j(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 197940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 1031*d**3 - 33069*d**2 wrt d.\nAnswer: -120*d**2 + 6186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukududkdududu. What is prob of sequence uu?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 4. Let a be z(-4). Suppose -94*c = -93*c - a. Let l(i) = 15*i**2 - 5*i. Let t(q) = 14*q**2 - 4*q. What is c*l(r) - 5*t(r)?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-49 - -146) - 11\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -0.101, 5, -2\/19 in descending order.\nAnswer: 5, -0.101, -2\/19, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a40 + 4?\nAnswer: 7a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(31\/(-434))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.52353651062 and 0.5.\nAnswer: -10.02353651062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -29.3. Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 947322e?\nAnswer: -9473234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.1 in -0.2, -55, -2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(2207 - 4*d - 1454 - 1177).\nAnswer: 8*d + 848","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**3 + z**2 - 19*z - 21. Determine a(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3167aa8 (base 13) to base 3.\nAnswer: -1001022010101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/5 + (-16)\/40. Let r be ((-6)\/(j + -2))\/1. Suppose -84 = -r*n + 4*o, -o = -2*n + 2*o + 85. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 863?\nAnswer: 862.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**2 + 5*k + 6. Let u(q) = q**2 - q - 1. Let o(d) = 5*u(d) + w(d). Calculate the remainder when 58 is divided by o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -5*(sqrt(175) + 0).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 21*j + 18*j**2 + j**3 - 48 + 21. List the prime factors of i(-15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 201554*p\/5.\nAnswer: 2*p*(p - 100777)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79730\/53 in 9, 4, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/17))**17 assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330333 (base 5) to base 14.\nAnswer: 41c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose -5*u - p + 48 = 0. Let x = 34 - 9. Calculate the remainder when x is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 6*w - 4. Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*i**4*n + 31*i**3*n**3 - 2*i**2*n - 39*n**3 + 9*n**2 wrt i.\nAnswer: -5280*i*n + 186*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -989.9 - -946. Let m = -49 - b. What is m rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 127. Let z(g) be the first derivative of 0*g - 7\/5*g**r + 1\/3*g**3 - 1\/2*g**4 - 2\/3*g**6 + 0*g**2 - 3. Factor z(l).\nAnswer: -l**2*(l + 1)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6314457 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 16 - 90 - 79)*(0*p**2 + 3*p**2 - p**2) in the form y*p**2 + c*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 49*z**3 + 566*z**2 + 616*z.\nAnswer: z*(z - 28)*(z - 22)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32416 divided by 8104\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g - 14. Let z(a) = 5*a + 20. Calculate 3*x(i) + 4*z(i).\nAnswer: 2*i + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767.7 less than 0.0473767152?\nAnswer: -2767.6526232848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8))\/((-1)\/18). Let v(b) be the first derivative of b**4\/4 - 10*b**3\/3 + 9*b**2\/2 + 7*b + 4. Is v(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 3*d**3 + 0*d**3)*(15 + 134 + 208) + (3 - 3 + 2*d)*(2*d**2 - 4*d**2 - d**2) + 2*d**3 - 2*d + 2*d.\nAnswer: -361*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11951320 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**9\/13608 + l**8\/1512 + l**7\/1260 - l**6\/180 - 59*l**3\/3 - 16. Let a(c) be the third derivative of d(c). Factor a(n).\nAnswer: 2*n**2*(n - 1)*(n + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wco. What is prob of picking 1 c and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 3\/4, 15\/2, -0.5 in increasing order.\nAnswer: -2, -0.5, -0.4, 3\/4, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8614\/5 + -137847\/80. What is the common denominator of t and 11\/840?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24493722?\nAnswer: 2, 3, 11, 71, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79337097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i - 11 + 11 - 70*i**4 + 7 - 3*i**3 + 7*i + 9 wrt i?\nAnswer: -840*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - m - 25 = 0, 5*m - 10 = -2*h. What is the second derivative of 5 - h + r**2 - r - 2*r**2 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 4 + 0 + 0 + 263*q - 271*q as h + f*q**2 + r*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 807544249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 3*i + 11*r + 39, 2*i + 1 = 5*r for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23))**(-3\/8) assuming l is positive.\nAnswer: l**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(143)*-2 + sqrt(143))*1 - sqrt(143) - sqrt(143)))\/(sqrt(44)\/((sqrt(72)\/sqrt(2))\/sqrt(9))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-27)\/33)\/(2\/7) and (61\/7)\/(408\/(-238))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let f(p) = 2*p**2 + 19*p. Calculate v(f(w)).\nAnswer: -2*w**2 - 19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 3 = -i, -5*n + 25 = -3*i. Suppose l - 3*k = -n*l + 6, -14 = -2*l - 3*k. Let h = 33 + -30. What is the least common multiple of h and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1619 + 1614. What is the third biggest value in -0.7, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from qtoqqoqottooooqo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 1. Let j be l(-1). Let o(h) be the first derivative of 222 - j*h - h**2 - 249 + 2*h. Let n(z) = -44*z**2. What is n(o(r))?\nAnswer: -176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -402 - 3?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 176944 divided by 16\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -11*v. Solve 0 = -x - v*x, 4*g - 8 = 2*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16678 - 8972 = -14*z - 4314. What is the smallest value in 0.3, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973124199 to the power of 1\/2, to the nearest integer?\nAnswer: 31195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 + 10*y**2 + 1545*y + 13968. Determine r(-9).\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**8\/1680 + k**7\/525 + k**6\/600 - 3*k**2\/2 + 2*k. Let x(t) be the first derivative of v(t). Suppose x(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23666.07 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 0, -20, -4777.\nAnswer: -4777, -20, -0.5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/21)*b**10*(b*b**(1\/5))\/b*b**(-12) assuming b is positive.\nAnswer: b**(-169\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 25. Let l be k(16). What is the smallest value in 0.5, l, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247 + -200. What is the highest common divisor of 47 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 378241428523.\nAnswer: 378241428523.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 1 + 1 + (3 - 3 - 2*h**3)*(-799695 + 799695 - 2212*h).\nAnswer: 4423*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 5) + (28 - -14) + -24\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.048998 greater than 5\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -15. Suppose -2*z = -3*z + m. Suppose -6*t + z*x - 8 = -2*t, 4*x + 22 = -2*t. Let s(o) = o**2 + 6*o + 1. Calculate s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/7 + 237*c**2\/7 - 216*c = 0. What is c?\nAnswer: 0, 7, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-250)\/40)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = -7*l. What is g in 4\/3*g**4 - 2\/3*g + 4\/3*g**3 + 4\/3 - 8\/3*g**l - 2\/3*g**5 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 2*p + 4. Let o(v) = -v**3 - 17*v**2 - v - 5. Let i be o(-17). Let f be (-54)\/63*(-56)\/i. Determine d(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*c**3 - c**2 + c**2 + (-3*c + 2*c + 3*c)*(2*c**2 - 2*c**2 - c**2)) - 2 + 2 - 18*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23573.837 + -23606. Let r = m + -0.237. Let o = -30 - r. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 8) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 - 60 - 10*v**3)*(-6 - 2 - 9) in the form p*v**2 + g + t*v + s*v**3 and give s.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993133 is divided by 491?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 6:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + 21 + -9)*(-1)\/2. Let w = 0.2 - 0.1. Which is the biggest value? (a) j (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/116*2*(-33002)\/(-115507).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - 11.5. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2252851\/542 - -8313\/2. Is f greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)*x\/x**(-7\/5)*(x**(2\/5))**47 assuming x is positive.\nAnswer: x**(964\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 2 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/(2\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from ssusyttessqtyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*i**2 + 3 + 4 + 12*i**2 in the form z*i**2 + k*i + p and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 75*v + 846. Give a(67).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(1*(1 - 3)). Let d(m) = -m + 8. Let a be d(6). Solve 4*t - v = q, -a*t = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -629 - -618.6. Suppose 21*p = 26*p + 5. Put p, -3, s in ascending order.\nAnswer: s, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -649038206*c - 419464399 wrt c?\nAnswer: -649038206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + f - 9, 3*q + 4*f - 13 = 13. Let k(v) = -q*v + 0*v + 26 - v - 30. Let u be k(2). Is u equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -13. Let v be 0\/x*(-2)\/4. Solve -3*b = -0*a + a + 10, v = -4*b - 5*a - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1531 and 95\/2.\nAnswer: 3062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -0.1 (c) -54 (d) -5 (e) 1\/21 (f) 0.2 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + -4 + sqrt(126)\/(1*sqrt(242) - sqrt(2)) + 2)**2.\nAnswer: -21*sqrt(7)\/5 + 4963\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-178)\/(-4))\/(-5 + (-33)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.29 (b) 0.4 (c) -2 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-60)\/(-25) - (-5448)\/30. What is the highest common divisor of 273 and o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -120, -0.02, 0, 1\/6, 2 in descending order.\nAnswer: 6, 2, 1\/6, 0, -0.02, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82919168879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/5 - 4111*p\/10 - 8238\/5 = 0.\nAnswer: -4, 4119\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {c: 3, l: 8, v: 2, u: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-11 - -6) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15462 is divided by 697.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoiziiozxoz. What is prob of sequence ozzx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-98)*(-1470)\/(-210)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174304*n = -174305*n - 2*j - 6, -8*n - 4*j = 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15664370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -3) + (-2 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 7, -10, -29, -50, -73, -98?\n\"Answer: -z**2 - 12*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 4) + 1 + -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -51. What is the greatest common divisor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/3)*x)\/(x\/(x\/(x*x**2\/x))*x))\/(((x*x*x\/x**(-3\/4)*x)\/x*x*x)\/(x*x*x**1*x))*((x*x**(-2\/5))**(-5\/9))**(-24) assuming x is positive.\nAnswer: x**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f = -50*f + o + 20, -2*f - 4*o - 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/37, -24\/463, 0.2?\nAnswer: -24\/463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 58. Let g be d(20). What is b in 8*b**g + 0*b**4 + 4*b**3 - 17*b - 2*b**5 - 2*b**4 + 8*b**3 + b = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135870.773 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s\/(s*s**5))\/s)))**33 assuming s is positive.\nAnswer: s**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587987 is divided by 3118?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33676170.\nAnswer: 2, 3, 5, 11, 19, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000279889 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8)*132\/(-3). Let v(c) = 0*c**3 + c - 32 + c**3 + d. Let m(w) = -7 - 4*w + 2 - 2*w**2 - 4*w**3 + w**3. Calculate -m(z) - 4*v(z).\nAnswer: -z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 5324229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haha when four letters picked without replacement from {a: 15, h: 4}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 8*h + 12. Let u be n(-7). Suppose k = -5*m + u, 0*k - 61 = -m + k. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 7 - 82 + 19 + 25 + 31.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4*h - 2. Let d be j(-5). Suppose p - 239 = -2*t, 4*t - 1183 = -2*p - d*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*p + 4*p. Let d = -131 - p. Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14336 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-392) - 358956\/(-11564)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 542, 1203, 2128, 3317, 4770, 6487?\nAnswer: 8468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -422552 divided by -52\nAnswer: 8126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212.107 + -212. Round a to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 319\/4. Let a be (-9)\/(-3) + 77 + 1 + -4. Let o = a + -155\/2. What is the common denominator of d and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*t + 67*t + 7*t**2 - 244*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**2 - 9*u**2 + u - 15*u**2 - u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 172, 254, 334, 412, 488, 562?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t - 80*t = 3*s + 82*t + 289, 9*s + 107 = 2*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089 - 1246265697.93?\nAnswer: -1246270786.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/8 - -4)*(-24)\/(-9). Suppose t*u = 12 - 12. Suppose -2*v + 108 = 3*q, -5*q + 3*q - 4 = u. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78291558 to the power of 1\/2, to the nearest integer?\nAnswer: 8848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r = -66*r + 29*r + 25*a - 335 + 14, 0 = -r + 5*a - 61 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154\/195 + 23\/39. What is the fourth biggest value in -4, -2\/7, -0.18, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1508\/638)\/(-13))\/(8\/(-33))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1. Let o = 204 - 182. Suppose -o = 11*f - 55. Give d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 1171 + 1171 - 9*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10*c - 11. Let w be p(-11). Suppose 3*f + 3 = -2*o, 0 = -w*o - o + 3*f + 3. Solve -2 = -3*h + 2*b, -h + o*b + 2*b = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 7) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)*b\/(b\/(b\/((b\/(b**(-2)\/b*b))\/b*b))*b)*b*(b*b**(1\/9)*b)\/(b\/((b*b**(-2\/25))\/b)) assuming b is positive.\nAnswer: b**(-353\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-6 - -2))\/(119\/(-4998)). Calculate the highest common divisor of c and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 4, 215.\nAnswer: 4, 74, 215","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 554056777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296667456 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5 - -5) + -27 + 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*n - 2 = 2, 0 = -2*p - 2*n - 14. Is (-28)\/p + (-10)\/(-25) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 21*m**2 + m. Let g be l(-1). Let t = 32 - g. Calculate the remainder when 23 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in 0, 2\/15, 3\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346130 is divided by 954.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -460965388*v - 210514794?\nAnswer: -460965388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9926.0000036032 + 9926. Round d to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -5\/82 (c) -1 (d) 129690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*r - 5 + 5*r**2 + 29*r - 23 + 10*r in the form v*r + o*r**2 + l and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - f = -5*f + 40, 0 = -2*l - 3*f + 27. Let b be (-20)\/6 - l\/18. Is 4 a factor of b\/(-4) - (0 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -65. Let a be 2\/k + (-2432)\/(-136). Solve -y = -c - 2, -3*c - 8*y = -3*y - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -3*u - 2*u, 1 = u. Let k be r - (0\/2)\/(-2). Solve i + 5 = k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -201\nAnswer: 100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p. Let w(y) = -y**2 + 10*y + 16. Let a be w(11). Let n(v) be the second derivative of -2*v**3\/3 - 643*v. Give a*r(m) + 4*n(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/5, 3, 1\/8 in ascending order.\nAnswer: -13, 1\/8, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -10. Let c = k - -8. Let j(a) = a - 1. Let u be j(c). Solve -3*i - 2 = u*n, 0*n - n = -3*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*s**2 + 50*b*s*t - 2*b*t - s**4*t - 2*t with respect to s.\nAnswer: 4*b*s + 50*b*t - 4*s**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29970289*q**2 - 32037332 wrt q.\nAnswer: -59940578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.94 or -1086?\nAnswer: -1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u**3 + 7*u**2 - 6*u + 20. Let a(r) = 7*r**3 - 2*r**2 + 2*r - 7. Let i(w) = -8*a(w) - 3*k(w). Give i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 13?\nAnswer: -75\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(80)*-4)*5.\nAnswer: 25 + 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + 2.04. Let c = u + -6. Let v = 3 + c. What is the nearest to v in 5, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 431 - 802*v**2 + 800*v**2 + 3*v - 434 + 91*v**3 as a*v**2 + r + f*v + o*v**3 and give o.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 12. Let l = b - 14. Solve -5*d - 12 = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/11 - 340*a\/11 + 14450\/11 = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-14))**(-4\/33) assuming i is positive.\nAnswer: i**(56\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*v - 1, -4*h - 4*v = 800 - 764 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1604.1 + 20.\nAnswer: -1584.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1186069, 1, 4 in ascending order.\nAnswer: -1186069, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101d8 (base 14) to base 12.\nAnswer: 1a556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-161)\/(-483)*972\/(0 - 6)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 3*u + 54 = 24*l, -3*l + 11*u - 166 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 2*q + 7*q + 3*q - 4 - 12*q.\nAnswer: -q**2 - 4*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070503 rounded to 5 decimal places?\nAnswer: 0.00705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(25) + (sqrt(250)*-1)\/sqrt(10)))\/(sqrt(15)\/sqrt(3)*6).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q. Suppose 0 = 2*r - 3*o - 5 + 22, -4*o + 16 = 4*r. Let c(i) = -2*i**3 + 4*i**2 + 2*i - 4. Let t(g) = r*c(g) - 4*l(g). Factor t(z).\nAnswer: -2*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 101 = 101*v. Let f(a) = -1. Let j(q) be the second derivative of -q**3\/3 + 2*q**2 - 2*q. Let g(i) = 2*i. Let y be g(3). Give v*j(s) + y*f(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 4550*s - 144576 = 0. What is s?\nAnswer: 32, 4518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*b - 15, -b - 4*b + 5*y = -25. Let p be ((2 - 3) + 2)*b. Let m be ((-1)\/(-1))\/(p\/7). What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 22*b - 7*b - 755 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122250 and 35250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let d = 3.15 + 1.85. Which is the closest to i? (a) 4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 3*h + 2. Let o be n(2). Suppose -r + o*r - 1407 = 0. What are the prime factors of r?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*z - 50 + 47 = 0, -2*z = -3*y + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4328364, 4328362, 4328360, 4328358, 4328356?\n\"Answer: -2*v + 4328366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**2\/5 - 6554852*p\/5 - 517858272\/5 = 0.\nAnswer: -79, 1638792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:58 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1246.63 + -4\nAnswer: -1250.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540062798 to the power of 1\/2, to the nearest integer?\nAnswer: 39244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -77, -60, -35, -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4956, 40049, 135408, 321165, 627452, 1084401, 1722144?\n\"Answer: 5022*c**3 + c**2 - 64*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 - 2*k**2 - 2*k**2)*(114 + 171 - 15)*(-5*k + 3*k + k) in the form p*k + r*k**2 + u*k**3 + z and give u.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.189667 - 2.191087. Let q = s - 53. Round q to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 1. Let d(h) = -2*h - 3. Determine 6*d(f) - 13*z(f).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -710*v + 320*v + 387*v - 422 to the form n + k*v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -2*f + 4*y, 4*f = 2*y - 4. Suppose d = 22 - f. Which is smaller: d or 23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*t = -213, -2*t - t + 336 = 5*s. Let i = 71 - s. Solve -i*z - 2 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/7)\/q*q)**(-8)*q*q\/q**(-10)*q**(4\/5)\/q)**(-43) assuming q is positive.\nAnswer: q**(-19479\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = q - 29, -4*l - 92 = -4*q - 0*l. Suppose -3 = 3*i, 3*i + q = -c + 3*c. Calculate the greatest common factor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*w = -82 - 6428. Let i be (-133)\/(-7) - (0 + 3). Let y = -1 + i. Calculate the greatest common divisor of y and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42.4 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3235 (b) 37.4 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 3*f)*(0 - 1 + 10)*(5 + 4 + 6 + 2*f**2).\nAnswer: -36*f**3 - 270*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/(60\/(-16)). Let i(a) be the third derivative of 0 - 1\/12*a**4 - g*a**5 - 1\/60*a**6 + 0*a + 0*a**3 + 4*a**2. Factor i(t).\nAnswer: -2*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*36\/(-60) - (10 + -1) - -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*a = 3*a + 6, 18 = 4*o + 2*a. Solve 0*k**o + k**2 + 0*k**2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 548. Let b be w(0). Put -4, 0, b, -3 in decreasing order.\nAnswer: 0, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*62\/6 + (-26)\/78\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + (-3 - -2) - (30 + -34 - -19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*f = -217*f - 53 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4393.\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*a = 2*m + 124, 0 = 2*a + 2. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let k(u) = 740195*u**2 - 17435*u + 3487. Let q(m) = -637*m**2 + 15*m - 3. Let j(g) = -6*k(g) - 6974*q(g). Calculate j(l(v)).\nAnswer: 5072*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 353 - 5?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + 3*v**2 - 2*v - 6. Give q(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/7 + 1248\/364. Suppose 3*h = -0*h + 9. Sort -4, h, k in decreasing order.\nAnswer: k, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b - 63*b = -24. Calculate the highest common divisor of b and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 20*k + 4. Let y be a(-10). Which is smaller: y or 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*h**2*n**3 - 336*h**2*n**2 - 22*h**2*n + 3828819*h*n**2 + 5*n**3 wrt h.\nAnswer: 224*n**3 - 672*n**2 - 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. What is l(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 6400 in increasing order.\nAnswer: -1, 9, 6400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (-2 + 0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 2, s: 6, e: 3}. Give prob of sequence peps.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f**2\/5 + 362*f\/5 + 24 = 0 for f.\nAnswer: -60, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 9. Suppose o - 6 = -l - o, -o = 0. Suppose 0*d - d + l = 0. Calculate the least common multiple of d and r(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -m + 6, -21*m - 3 = -4*s - 20*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154492611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -0.39907610982769.\nAnswer: 0.49907610982769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13*c**3 - 1 - 1.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 13, 360, 4 in decreasing order.\nAnswer: 360, 13, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is two thirds of a decade in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 - 11.24. Let n = u - -10.5. What is the closest to -2\/3 in n, 1, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 take away 1.1128?\nAnswer: -125.1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2*o**4 - 78*m**2*y**3 + 2*m**2*y**2 - 17*o*y**3 wrt o?\nAnswer: -8*m**2*o**3 - 17*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 91038426.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 283 - 1790 - 440 - 334)*(3*f - 2*f - 2*f - 14).\nAnswer: 2273*f + 31822","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*r**3 - 4 - 126*r**3 - 7 in the form y*r + a*r**3 + i*r**2 + w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.0389\nAnswer: -0.0778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**22)\/v))**(21\/8)*v**(4\/7)\/v**(4\/17))**(-2) assuming v is positive.\nAnswer: v**(-57797\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519, 1522, 1525?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l**2 + 18*l. Let q(n) = 21*n**2 + 15*n. Let a(j) = -6*q(j) + 5*x(j). Let z(f) = 789*f**2. Calculate a(z(m)).\nAnswer: -3735126*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-18.3.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b**5 + 8*b + 44*b**2 + 259*b**3 - 52*b**4 - 120*b**2 + 7*b**4 - 65*b**3 = 0.\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 25312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*p + 3*r, -4*p + 3*r + 0*r + 67 = 0. Suppose -5*t + p + 12 = 0. Determine o so that 1\/5*o**4 - 1\/5*o**t + 0 + 1\/5*o**3 - 1\/5*o**2 + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*k - 6 = -2, 0 = 5*q - 5*k - 50. What is the units digit of (-1 + q)\/(1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3427 = -53 - 690. Is i a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 50 + 958 = 0. Let l = 474 - o. Solve -15*v + l*v - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 397*v + 25. Is 15 a factor of h(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*s**2*t**2 - 16*o*s**2 - 188*o*s*t**5 + 3*o*t - 2*s*t wrt t.\nAnswer: 2*o*s**2 - 3760*o*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283042.\nAnswer: 2, 137, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k. Suppose -5*j + 59 - 14 = k. Is 8 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 1 + 340 + 108\/12.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*c + c + 228, -5*c + 330 = 5*w. Which is smaller: w or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187196 (base 10) in base 6?\nAnswer: 114513524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 20. Are x and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1513*m - 725*m - 704*m - 1512. Suppose m*t**2 + 2\/5*t**4 - 24\/5*t**3 + 0 - 20*t = 0. Calculate t.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*r + 54, -5*r = -5*v + 329 - 29. Let y = 3 - v. Let a = -30 - y. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.02, 3, -5, 3\/2, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxx when four letters picked without replacement from xaaaxaaaaaaaxaa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*v = 14280, -33*v = -30*v. List the prime factors of d.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10576 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36134 and 580.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 5*p**2\/2 + p - 14. Let z(l) be the third derivative of 11*l**4\/24 + l**3\/2 - l**2. What is -7*r(g) + 3*z(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 39.3244215?\nAnswer: -39.7244215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -19 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -4. Is (-2)\/j + 4098\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332\/7 - -47. Let h be (21\/(-14))\/(3\/4). Let g be ((-9)\/3)\/(-3) + h. What is the smallest value in g, 2, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u**2 - 4*u + 2. Let y be h(2). Let c be (-5)\/(-1)*4\/y. Solve 0*q + c = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2\/5 - 293632*l\/5 - 1761072 = 0.\nAnswer: -73378, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98731366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 1. Let m be v(-1). Let g be (-1)\/(((-21)\/9)\/(-7)). Let a be 2 + g - (2 - (-37)\/(-13)). Is m < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 5*g**4\/6 + 2*g. Let m(q) = q**2. What is c(m(f))?\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19223651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 534*p**2 - 26*p + 72. Let g be u(3). Suppose -15*l + g = -5*l. Is l a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18745\/3 - 6248. Sort q, 80\/9, 1\/2 in decreasing order.\nAnswer: 80\/9, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35032, -70088, -105144?\nAnswer: -140200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**3 - w**2 + 6*w - 5. Let j be ((-4)\/(-6))\/((-17)\/(-51)). Is 49 a factor of z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.758275 kilometers to centimeters.\nAnswer: 75827.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, 5*p = m + 4*m - 1265. List the prime factors of m.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, 1283.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24175.6 and -890.8.\nAnswer: 23284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 0. Solve -1 = -4*j + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 7*z**2 + z + 3. What is the units digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 86?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 divided by 194.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*-3*(2 + (2*sqrt(128)*1 - sqrt(128))))**2 + -3)*5.\nAnswer: 17280*sqrt(2) + 71235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 8118452\nAnswer: -24355356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/(s*s**(-2\/23))))\/s)\/(s*s**(-4\/3)*s)*(s**(1\/3)*s)**(-30))**(-5) assuming s is positive.\nAnswer: s**(14405\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, h: 6, j: 2, r: 2}. Give prob of sequence rr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121030 - -1?\nAnswer: -121023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3\/2)\/(2 - 114\/48)*-88 and 1312.\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*((u*u\/(u\/(u*u**(-6))))\/u*u)\/u)\/u*u)*u*u\/(u*u*u*u\/(u*u*u**3)*u)*(u**(-1\/3))**(7\/4))\/(u**2\/u**(3\/8))**30 assuming u is positive.\nAnswer: u**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9559 + -9515. Solve -w - 19 = 21*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.75 + 15.8. Let c = j - -4. Let p = c - 0.45. What is the nearest to 1 in 0, -1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 778 = 2*g - 5*g, 3*d = 5*g + 1265. Let r = -5121\/20 - g. Let f(p) = -p**3 + 7*p**2 - 6*p + 1. Let t be f(6). Do r and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)\/(9 + -11). Let a = y + 1. Suppose 3*k = -4*x + 27, -2*x = 2*x - 2*k - 2. What is the greatest common divisor of x and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -2, -382\/51.\nAnswer: -382\/51, -2, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -10. Is 81 - 1 - w\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 375637642*x**4 - 281208281 wrt x.\nAnswer: 1502550568*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*b + 4, 10 = -2*b + 4*b. Let a(g) = 3*g - 2. Let y be a(d). Let i = -182 + 204. Solve y*f + 0*f = -h + i, f = -h + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 6 + 32*x**2 + 0 - 31*x**2 + x. Let k(d) = d**3 - 2*d**2 - d - 4. Let u be k(3). Suppose 2*o - 2*v = 0, 3*o + 5*v + 50 = -u*o. Determine z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 2, k: 4, n: 4, c: 3}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -214, -672, -1572, -3064, -5298, -8424, -12592?\n\"Answer: -25*m**3 + 4*m**2 - 3*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46795)\/1910 + 2\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164243, -328486, -492731, -656978, -821227?\nAnswer: -985478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24670 - -4?\nAnswer: -24666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14608*x + 30. Let z(u) = 7306*u + 13. Give -3*o(m) + 7*z(m).\nAnswer: 7318*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:47 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31a28 (base 13) in base 9?\nAnswer: 145820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 38530180?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -992*j**5 + 230*j + 3 - 371*j - 595*j - 3 wrt j.\nAnswer: -19840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 12*w**2 + 13*w - 7. Suppose -3*d = -7*d + 52. Suppose -2*z + d = -y - 2*y, -z = -5*y + 4. What is the tens digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - 5*a - 5. Let g be 2\/(-5)*1*-10. Let b(k) = -k**2 - k + 3. Let n be b(0). Let h(s) = n - 5*s**3 + 4*s + 3 + 1 - 3. Calculate g*p(r) + 5*h(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/17))**(-40) assuming f is positive.\nAnswer: f**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50)*2 + sqrt(50) + -1.\nAnswer: -1 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 3128*o**2 - 41252*o + 69960.\nAnswer: 4*(o - 11)*(o - 2)*(o + 795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8)*(-32)\/612. Let f = c + -104\/153. Suppose -3*k = -k + 4*s, -4*s = -2*k. Does k = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1644 + -1118. Let m = i + -522. Let n(c) = 3*c - 11. What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezg when three letters picked without replacement from {x: 2, e: 1, d: 1, c: 1, z: 1, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -84*b**2 + 22*b - 21. Give v(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(13\/3). Let v(n) = n**3 - 11*n**2 + 15*n + 26. Suppose r + 4 - 17 = 2*o, -3*o = 3*r - 21. Let c be v(r). Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29756970 to the nearest integer?\nAnswer: 5455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 40*k + 4914. Let d be q(-71). Solve -13*s + 2178 = d for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-54)\/(-168))\/(-9)*(-44)\/(-231)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*q - 49, 4702*m - q + 41 = 4698*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.99 + 1. Let q = 0.00999915 - k. Round q to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12240 and 1156.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/3, -4, -2\/15, -1.\nAnswer: -19\/3, -4, -1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + (4 - 0) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose -6 = -2*o - q. What are the prime factors of 3*(13\/o - -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*f + 6*c + 15, 3*f = -2*c + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121680 and 364?\nAnswer: 851760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzy when three letters picked without replacement from xyxzxrhrx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*r - 0*r - 2, m + 5 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -183 - 3?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29401 is divided by 1551.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - s + 2 + (4 - 4 + 2*s)*(-2 + 4 + 0))*(-1 - 2 + 2)*(335 - 335 - 11*s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/375 - 227\/375. Which is the nearest to 1? (a) -1\/11 (b) 3 (c) g (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:34 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-6 - -4 - -5). What is the closest to -0.1 in -2\/17, r, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1841, -3680, -5519, -7364, -9221, -11096, -12995?\n\"Answer: -m**3 + 6*m**2 - 1850*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14884944 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u - 150. Suppose 305 = 5*o - u. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 7*k + 11*k**3 - 5*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 5, w: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c - 43*c - 37*c - 29*c + 173*c - 2*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2 - 2)*(-208 - 113*k + 96 + 115)*(2 + 4 - 3) + 2*k**2 + k**2 - 2*k**2.\nAnswer: 679*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 874\/152 + (9 - -9 - 22). Factor 0*a + 0 - f*a**3 + 3\/2*a**2 + 0*a**4 + 1\/4*a**5.\nAnswer: a**2*(a - 2)*(a - 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -18*j - 1. Determine r(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32655788\/1303 - -25062. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/4999 + -205113\/109978. Find the common denominator of 107\/204 and q.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73519\/(-7948) + (-1)\/(-1)*11.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2 - 1548*a + 525. Calculate the least common multiple of 44 and h(141).\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 + -187. Which is the nearest to j? (a) 5 (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*p + 3 - 23*p - 2*p**4 - 2 - 2*p**2 + 0 - 26*p as t*p + z*p**3 + b*p**4 + j*p**2 + a and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let y(i) = -49*i**2 - 14*i. What is y(g(o))?\nAnswer: -196*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 12. Let t = u + -4. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/26)*i)\/i)\/(i**(-14)\/i*i))**(2\/21) assuming i is positive.\nAnswer: i**(365\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + 5 + 2 + (-3 + 4*sqrt(396))*-6)*5)**2.\nAnswer: -172800*sqrt(11) + 5716802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 39*z**4\/2 + 109*z**3 - 435. Find the third derivative of b(y) wrt y.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 47*x - 45*x + 21, 4*t + 3*x + 14 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42341832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 + (-12896)\/186)*2*(-81)\/(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*k - 26 = 0, -5*v = k - 3*k - 84. Suppose -3*z + v*z = 104. Solve -2*i + 3*y = 10, 0 = i - 2*i - 5*y + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 - -1.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:27 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 17, l: 2}. Give prob of sequence wl.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148800 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - t = 29, 4*v + 43 = -553*t + 556*t for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + z, 0*m = 2*m + 4*z + 8. Let x be m\/6 + (-6613)\/(-51). What is the first derivative of 104 - x - y + 0*y wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -21*u + 285888. Suppose -22*j + u - 4454 = 0. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -795312 divided by 11046\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 447481 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y - 22. Calculate b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3950 - 79047\/20. Find the common denominator of 131\/(-18)*(-2)\/(-6) and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = t - 26081, -2*s = 4*t - 11104 - 1926. List the prime factors of s.\nAnswer: 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 5*q = 25, 0 = 2*z + 112*q - 119*q + 35 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5780 - -5991. Calculate the smallest common multiple of 10 and b.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - m - 1. Let a = -15 + 14. Let n be p(a). Suppose 3 - 13 = -5*r. Solve -i - r*i = -n, -i + 1 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v + 5 - 6*v + 1. Suppose 2*a = -4 + 10. Let f be (-2)\/a - (-10)\/(-3). Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1453963 and 9.\nAnswer: 1453972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/24 + z**3\/2 - z**2 + 278*z. What is t(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-232)\/(-12) + 4\/6 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, -7, 0 in descending order.\nAnswer: 5, 3, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 461762*m**3*s - 879830*m**3 + m - 164*s wrt s.\nAnswer: 461762*m**3 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 28\/(-16))*12. Suppose 2*f = 6*f - 16. Calculate the remainder when 9 - (-1 + r\/1) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -774, -5246, -17400, -41076, -80114, -138354, -219636, -327800?\n\"Answer: -640*k**3 - k**2 + 11*k - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 91*o + 21 + 55 + 4 - 18*o.\nAnswer: 73*o + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4205831 and 35.\nAnswer: 21029155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**3 + 5*z**3 + 3*z**3 + (-2 + 2 - 2*z)*(0*z + 0*z - 7*z**2) + 5*z**3 - 2*z**3 - 2*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5199373677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + 46 + -13 + -25 + 29?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 - 60*i**2\/7 - 248*i\/7 - 192\/7.\nAnswer: -4*(i + 1)*(i + 6)*(i + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 >= -1838\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2899 = 3*v + 2885, 4*v - 47 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.107 * 4408201\nAnswer: -471677.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27431083, 27431078, 27431073, 27431068?\nAnswer: 27431063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 = 5*y - y. Suppose 5*j + 4*l = 18, -3*j + 4*j - 4*l = -6. Is 4\/(5*j\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20626 - 85?\nAnswer: -20711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218446169*n**2 + 8497*n - 1221.\nAnswer: 436892338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -748570822*n**3 - 64325344*n.\nAnswer: -4491424932*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26ca5b (base 13) in base 3?\nAnswer: -1202212021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17355, 16985, 16615, 16245, 15875?\n\"Answer: -370*t + 17725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-10)*80\/(-288)*-1. Let w = -0.89 + -0.11. What is the nearest to 1 in w, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 368*y**4 - 91 + 91 + y**4 + y**4 - 3*y**4 + 0*y**3 + 0*y**3 - y**4 + (1 - 1 - 2*y**3)*(-1 + 2*y + 1).\nAnswer: 362*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/7*(-33)\/44. Sort -0.1, 4, 0.09, x in ascending order.\nAnswer: -0.1, 0.09, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 15*p + 0 - 2 in the form k + s*p and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:20 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:45 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -2.6762 (b) 0.4 (c) 4 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -0.0264\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 34*s + 10. Let w(c) = 7*c + 2. Let h(x) = -3*a(x) + 14*w(x). Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212167 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: Express -234*h**2 - 54*h**2 + 52*h**2 in the form o*h**2 + x*h + p and give o.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {i: 4, u: 8, f: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 174.536. Let r = -1.6 - x. Round r to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 - 22*k + 8. Let p be b(-12). What is p rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6045255 (base 7) to base 8.\nAnswer: -2571047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1598539032 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*d = -7, -5*d - 13 = -c - 2*d. Let v be (c\/10)\/((-7)\/(-245)). Suppose 23 - 2 = x. What is the greatest common factor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -4, -260, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/7 or -1.93?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 44. Let f = 6 - s. Let u(d) = d**2 + 2*d. Let n be u(-2). Which is the biggest value? (a) -4 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 45. Let t be (i - -18)*18\/30. What is the first derivative of t*y - 12*y**3 + 23 - 9*y + 51*y**3 wrt y?\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a26a30 - 4?\nAnswer: -a26a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 - -168.984?\nAnswer: 170.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50350?\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1524*h = -1527*h - 3*p - 12, 0 = -h - 5*p - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m. Let p be g(2). Let y(f) = f**2 + 12*f + 2. Suppose -5*b - 55 - 5 = 0. Let h be y(b). Solve -4*d = -h*d - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 93. Suppose -3*i - 4 = q, i = -4*i + u*q + 16. Solve 25 = -5*h - i*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7013, -26373, -58635, -103799, -161865, -232833, -316703?\n\"Answer: -6451*q**2 - 7*q - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 4:13 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -20*h - 104. Let r be f(-14). Let q = 153 - 65. What is the greatest common factor of r and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 20. Let t = b + 10. What is the second derivative of -5*r + t*r - r - 3*r**5 - r**5 wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(121 - 300 + 52)*(1 - 1 + 1)*(-3*d - 4 + 4)*(6 - 20*d**4 - 6).\nAnswer: -15240*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699 less than -1?\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c. What is the remainder when (-4)\/(-3)*(190\/4 - 1) is divided by l(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 476 - 469. Suppose -o*c = -4*c - 12, 4*f - 4*c - 81276 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/32 and 127\/182868.\nAnswer: 1462944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, -69 in decreasing order.\nAnswer: 5, 3, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-2\/17)*((n\/(n**0\/n))\/n*n)**(22\/9) assuming n is positive.\nAnswer: n**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5*27\/(-18) - (-264)\/60. Put -33, -4, t, 0 in decreasing order.\nAnswer: t, 0, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22351, -21212, -19337, -16726?\n\"Answer: 368*x**2 + 35*x - 22754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 2*b + 4. Let i(d) = 4*d**2 + 11*d - 4. Calculate i(u) + 6*l(u).\nAnswer: -2*u**2 - u + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**4*q))**(-18)*(q*q**(8\/9))**(-2\/47) assuming q is positive.\nAnswer: q**(22808\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39459 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-2) - (-4)\/8. Let w = -17 + 19. Suppose 3*q = q - w*d + 102, -45 = -q + d. What is the highest common divisor of q and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1119.\nAnswer: -1\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000760568819 to seven decimal places.\nAnswer: 0.0007606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 - 2*m - 1. Let b(d) = -415*d**3 + 123*d**2 + 6*d + 2. Let k(s) = -b(s) - 2*y(s). Find the third derivative of k(n) wrt n.\nAnswer: 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3133015 and 1271?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35254?\nAnswer: 2, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 19888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42.2 and -0.4?\nAnswer: -16.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234290398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 + -276. Let j be ((-168)\/7182)\/(o\/6). Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 2*m - 3*m)*(5*m - 4*m + 0*m) - 2*m**2 + 22*m**2 - 691*m**2 in the form f*m + g*m**2 + h and give g.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q - 1. Let x(s) = 11*s - 88. Let p = 170 + -161. Calculate the lowest common multiple of q and x(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97094484 divided by -2697069?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299 + 313 - 2*t**2 + 0*t**2 + 2*t**2 - 6*t**2 to the form k + u*t**2 + m*t and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10821884 is divided by 2686?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.2 take away 24772?\nAnswer: -24937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17785 * 17.8\nAnswer: 316573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8235 and 27801970?\nAnswer: 750653190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + a + 3 + a - 2*a - 2*a + (-3 + 6 - 2)*(-2*a - 2*a + 2*a) - a + 4*a - 2*a)*(a + 3*a - 6*a)*(30 + 28 - 207) to f + p*a + b*a**2 and give b.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000110 + -1100000111011000?\nAnswer: -1011110111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*s = 0, -5*l - 2*s = -8*l + 8. Factor 9\/4 + 15\/2*g + 25\/4*g**l.\nAnswer: (5*g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 - 11 = -s, 0 = z + 1. Solve -70*w + 68*w = s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by -4*4\/(-104) + 74\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 - q - 582. Let a be j(0). Does 22 divide -4 + a\/(-4) - 4\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1599.98 + 1583. Let f = 17 + h. Let t = f + -4.02. Which is the nearest to 1? (a) -3 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/12 + p**3\/6 - p**2\/2 + 2*p. Let a be g(2). Let s = a - -5. Calculate the lowest common multiple of s and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-77) + (-120741)\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.71 + -7.47. Let c = 13.8 - -71.2. Let d = n + c. Round d to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 89, 206, 355, 530?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10340039\/866 - -11940. Let z be (-27)\/(-12) - (-225)\/(-180). Are z and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10221610 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + 25*f**4\/6 - 16*f**3 - 100*f + 6. Factor w(j).\nAnswer: -j*(j - 48)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5103.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*b**2 + 2*b**3 + 30*b**2)*(3 + 25 - 3 + (-2 - 2 + 2)*(5 + 0 + 0) + 0 - 3 + 5) in the form h*b + r*b**2 + m*b**3 + o and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 1, s: 1, u: 6, b: 1, a: 4}. What is prob of sequence uagu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d + 8. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365 + 367. Which is the closest to 0.1? (a) -0.1 (b) -0.4 (c) 12 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805438925 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -5*r - 102. Let g be r\/2 + (-1)\/(-2). Let f = 40 + g. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:06 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 50*z - 274. What is m(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -529.2803 - 0.1?\nAnswer: -529.3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 7932330.\nAnswer: 126917280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 + 15 + -167 + -17 + 3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*g**3 - 9*g**3 + 2 + 2*g**3.\nAnswer: -3*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -19, -15, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 130. Let u = g - -4. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 95*t - 90.\nAnswer: -5*(t - 18)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*s - 3367 = -74*s - 1031. Solve -4*y + s = -2*q, 0 = -q - 37*y + 38*y - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -8*l**5\/15 + 14*l**3\/3 + 3*l**2. What is the first derivative of b(q) wrt q?\nAnswer: -64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 133. Calculate the greatest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 156 = -w + 428, -3*w - 3*q = -816. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 + 13*v - 28. Let n be o(8). Suppose -187*u + n = -183*u. Solve u*b - 4*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2\/5*k**4 + 0*k - 62\/5*k**3 + 0 + 64\/5*k**2 = 0.\nAnswer: -32, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -1.2?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/54*1035\/(-230)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-877)\/(301\/77 - (-1 - -5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 980438*h\/9 + 10458688\/3.\nAnswer: -2*(h - 32)*(h + 490251)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - (sqrt(105) - (sqrt(105) - 3*sqrt(105)*-5)))\/sqrt(5))\/(-1*sqrt(300)*1) + -3.\nAnswer: -8*sqrt(7)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from cgqqgrgge.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588 divided by 3305.\nAnswer: -588\/3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, -73.\nAnswer: -73, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:33 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:14 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 388201, 388174, 388147, 388120?\n\"Answer: -27*t + 388228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000110 (base 2) to base 12.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 2119, 124, -3\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223872677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5671 - 2101. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5797091.\nAnswer: 1019, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 + 594. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c**2 + 5*c - 7. What are the prime factors of z(8)?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + (280\/(-32))\/(115\/(-184)))\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -36*q + 1. Calculate p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (19 - 12) - (-3 + -5)) + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 48\/13 (c) -1104 (d) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0*w - 4\/15*w**5 - 14 + w**2 - 8\/3*w**3 + 1\/42*w**7 + 2*w**4 - 1\/10*w**6. Solve c(p) = 0.\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 613\/4 - (6 - 46\/8). Is -4 + -2 + -3 + b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-25) + 5\/((-48125)\/11675).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + 70 - (3 - -73).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let h(d) = 1. Let b(c) = -c - 3. Let o(z) = b(z) - 2*h(z). Let r be o(-8). Solve -r*t + 2*f = -4 - 15, 4*f + s = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57.79 and 0.0871335699?\nAnswer: 57.7028664301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75871.2 - -13.48757385.\nAnswer: -75857.71242615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((0 + sqrt(80) - sqrt(80)) + -3)*-4*-4 + (2*-3*sqrt(80) - (-2 + sqrt(80))*-4))**2.\nAnswer: 896*sqrt(5) + 3455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-319)\/(-5) + (-7)\/(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134123 + -3012?\nAnswer: -142140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10198*(0 + 9\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14714 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1793 by 17.\nAnswer: -1793\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 148, -50.8, 0?\nAnswer: -50.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 6. Let y = -10368 + 10369. Let j(r) = -4. Let k(l) = 3. Let o(p) = -4*j(p) - 5*k(p). What is y*m(s) - 5*o(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 12*x**2 + 22*x - 15. Let c(w) = -w**2 - 8*w - 5. Let g be c(-5). Let d be b(g). Solve -6*l = -l - d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t - 5*t - 2*f + 10, 2*t = -6*f - 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 11*n**2 - 9*n - 5. Let f be k(9). Suppose 0 = 5*j + f + 104. Let o = -21 - j. Calculate the greatest common factor of o and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 2*c**2 + 57*c - 77*c.\nAnswer: 8*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z*z)**(-21\/2)*z**6*z\/(z**(-1\/21)\/z))**(-12) assuming z is positive.\nAnswer: z**(1970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 1123*a**2 + 1902*a**2 - 2007*a**2 + a.\nAnswer: 1018*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1287 + 0.1287. Suppose 0 = -3*f + 5*f + 3*l + 2, 0 = -l. Which is the closest to f? (a) 2\/3 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 - 3*h**2\/2 - 2*h + 1. Let a be (1*2\/(-3))\/(36\/108). Determine n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/5)\/((-5)\/(-25)). Suppose 4*g = -3*i - i - t, 5*i = 3*g - 19. Let y be (g - -5)*(-2)\/(-18). Sort -1\/3, y, 4.\nAnswer: -1\/3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 33*s - 1. Let h(l) = -104*l. Calculate u(h(j)).\nAnswer: -3432*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-21)*(-89)\/(-445).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiiyiyipiyii. Give prob of picking 1 y and 2 i.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbkmmzzzlkllzzb. Give prob of picking 1 z, 1 b, and 1 l.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 4*f - 2. Let p(y) = 60*y**3 - y**2 + y. Let a be p(1). Let j be 22\/(-8) + (-75)\/a. What are the prime factors of i(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 17*b + 14. Let l be m(17). Suppose 0 = -4*g + l + 6. Suppose -g*u + 2*u = -36. Calculate the remainder when 46 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 - 3 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 z when four letters picked without replacement from {c: 4, x: 1, u: 1, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 65. Give a(-24).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*b**3 - 10 + 10 - b**2.\nAnswer: -158*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7569 - (8 - 0\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 - 0.36. What is the smallest value in -2, q, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 46, 56, 1, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c7 + 1?\nAnswer: 3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 391*h. What is the tens digit of n(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -12*z - 30. What is the remainder when 2\/z - (-40968)\/264 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.9 + 137.6. Let m = z + 20.3. Let p = -86 + m. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/36)\/((-6)\/4). Let z be 3\/(30\/56) + (-636)\/106. What is the nearest to 1\/2 in n, z, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 26 = 4*o. Let n = -7 - o. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 16.53\nAnswer: 1.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1859, 11, 2 in decreasing order.\nAnswer: 1859, 11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04195 and 0.05.\nAnswer: 0.00805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 4. Let r(j) = j**2 - 10*j + 12. Let g be r(8). Let t be d(g). Solve t*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 3. Let x be o(-2). Suppose d + 6 = x. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h + 6. Let q be x(-5). Suppose 5 = q*n - n. Suppose -3*f - 2*s = -n, -3*s - 15 = -3. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 + 160*u**2\/7 + 2573*u\/7 + 2414\/7.\nAnswer: (u + 1)*(u + 17)*(u + 142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.7725885421692 - -44276154.6325776421692. Let f = c - 44276081. Let b = f + -1.86. What is b rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let l = 152 + -165. Let g(q) = -q. What is l*g(v) - 6*m(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f. Let l be v(1). Let a = -18 - l. Solve 4*z + a = -13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257949534.631 + -0.05.\nAnswer: 257949534.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84 take away 9.138?\nAnswer: -7.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 81\/2 of a week?\nAnswer: 6804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*g - 33625 = 20810, 6*g - 10867 = -c. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -171*f - 2. Let d(v) = -511*v - 5. Calculate 3*d(x) - 8*i(x).\nAnswer: -165*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 52, 17 in descending order.\nAnswer: 52, 17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 24. Let p be a(-12). Let m = 2507 + -2501. Solve -k + p*k = m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 313954.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/11 and -103\/15092.\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2306 - -2385. Calculate the remainder when c is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1247529 and 621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 24\/7*c + 16\/7 + 2\/7*c**3 + 12\/7*c**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.13.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81813 - 1?\nAnswer: -81814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Let k be s(3). Let z = 85 + -81. Solve z*q = 2 + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196*(-45)\/(-17640)*(-1*94)\/(1\/1)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3125*q**3 - q**2 - 9*q - 8. Let i be p(-8). Suppose 8*n = 3*n + i. Suppose n = -3*x - 2*x. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 5:01 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 425*y + 9909. Determine h(-23).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226279?\nAnswer: 41, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + 5*n + 5. Let v(z) = -z**2 - 3*z - 3. Let r(y) = 6*k(y) + 10*v(y). Let f(u) = 13*u. Determine r(f(m)).\nAnswer: 1352*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 - (-115140)\/16. Suppose 3*m - 27960 = b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 90.86912 nanograms?\nAnswer: 0.00000000000009086912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41\/4, -3, 1\/42, -6\/7?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 29*x**2 - 14*x + 5. Determine w(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 18*u**2 + 11*u - 21. Let h be d(-17). Is 81 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -0*y - y, 1589*t - 33 = 1588*t - 2*y for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 + 0.3114\nAnswer: 0.3554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 4*a)*(2*a + 1 - 1)*(8 + 4 - 3).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 16, z: 4}. What is prob of picking 1 z and 2 l?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108451.9316 + -656976807.9316. Let v = -656867995.999849 - z. Let l = v + -360. What is l rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let h(u) = u**3 + u**2 - 13*u - 19. Let l be h(-2). Solve s + a + 10 = 5*r, 0 = -l*s - 3*r - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1331*m**4 - 3*m - 1240*m**4 + 3954*m**4 - 1209*m**4 + (-2 - m**2 + 2)*(-2*m**2 - 3*m**2 + 4*m**2) to h*m**2 + q*m + b + y*m**3 + s*m**4 and give s.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 479705?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (17 + (4 - (3 - -4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 16) to base 2.\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258340267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412430 divided by 69.\nAnswer: -412430\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 734 (base 16) to base 9\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98363.65 centuries in decades?\nAnswer: 983636.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 + 30*j + 15. Calculate the remainder when 47 is divided by y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5*(-7)\/2)\/(5\/(-40)). Let f = s + -129. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101212101 - 100220?\nAnswer: -102020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655)*-3)\/sqrt(5) + 3 - (sqrt(121) + ((sqrt(121) - (sqrt(121)*-1 + sqrt(121))) + sqrt(121))*6)\/(sqrt(44)*1 + sqrt(11)))**2.\nAnswer: -224*sqrt(11) + 138065\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxxxxxxxxqxxxqqxxxx. Give prob of sequence xxq.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/21)\/(3\/(-21)) - 4. Let n be -2 - ((2 - 4) + k + 0). Let x = 34 - n. Calculate the least common multiple of 28 and x.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/10765 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 198071 = 273685. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -95.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 2. Suppose -3*y = 2*y - 25. Let b = q + y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220835 - 1.\nAnswer: -220836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32335300 to the nearest integer?\nAnswer: 5686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:53 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2547077 and 391858.\nAnswer: 5094154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(30\/75). Suppose -z + y*z = -5*w + 19, 0 = w - z + 1. Sort 2\/7, w, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(0*d**3 - 4*d**3 + 17*d**3) - d**2 + d**2 + d**3 + 2*d**3 + 3*d**3 - 4*d**3 to n*d**3 + b*d + v + t*d**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 636 - 606. Suppose v = 11*v - s. Suppose 5*o + 0*o - 45 = 0. Solve -3*q - o = -v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + 4*h = 31*x + 16, 0 = -3*x + 3*h + 87. Sort x, 7\/5, 2 in increasing order.\nAnswer: 7\/5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1231*w**3 + 706*w**3 + 3*w - 3*w + 777*w**3.\nAnswer: 252*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 45, 90, 155, 246, 369?\n\"Answer: f**3 + f**2 + 21*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*j - 23*j - 273. Let w = 68 - 29. What is the greatest common divisor of w and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.89 - -4.87. Let x = n - 3. Let v = -0.22 - x. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*4)\/sqrt(2))\/sqrt(5) + 5.\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/235 and 169\/30.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-7)\/(-2))*109\/(-763)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36624, -73021, -109418?\nAnswer: -145815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) -1\/3 (b) 3\/4 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(24\/13)*w)\/(w\/(w**(-19\/4)*w)))**(1\/5))**(8\/7) assuming w is positive.\nAnswer: w**(-198\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*b**2 - 47*b - b**2 + 18*b**2 - 10*b**2 + 2*b**3 + 51*b in the form r + g*b**2 + f*b + x*b**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:04 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22441221 is divided by 312.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r**2 + 13*r. Let q be (-3)\/5 + 84\/15. Let s(p) = q - 4 - 3*p - 3*p**2 + 4*p. Let i be s(-2). Let u(v) = -5*v**2 + 6*v. What is i*u(h) + 6*d(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12504.6 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 49, 49, 47, 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/15)\/((149\/3129)\/(3\/21))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 + 1208 - 912 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 93928426274?\nAnswer: -93928426273.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from {a: 7, r: 2, z: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/11 + 29\/66. Let g = -0.37 + 10.37. Is g <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v - 1. Let j be z(1). Let b(a) = a**2 - 6*a - 3. Let t be b(6). Is t at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**8\/560 - y**6\/90 - y**3\/3 + 2*y**2. Let r(i) be the first derivative of f(i). Find the third derivative of r(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32718, -33928, -35138?\nAnswer: -36348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -2)\/4 - 273. Let l be (-2)\/196*b + -3. Let k = -24\/49 - l. Sort k, 1, -0.07.\nAnswer: k, -0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/7 + 62\/14. Suppose 3*v + 2*g - 10 = -0*g, 20 = c*g. Let j = -1.655 - -4.655. What is the fourth biggest value in 1, j, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1447*f**2 - 4*f + 9. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*h + 6 + 29, 2*x + 5*h = 26. Suppose -5*f + 2*p = -7, -5 = -3*f + 3*p + 1. Suppose -5*w = 9 + f. Sort x, 4, w in ascending order.\nAnswer: w, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, -468, -1485, -3006, -5031, -7560, -10593?\n\"Answer: -252*w**2 + 243*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118, -413, -888, -1543, -2378?\n\"Answer: -90*v**2 - 25*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1490 and 40528?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -43. Suppose k + 7*b = 4*b + c, -4*k - b + 156 = 0. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.7. Let k = -76 + 81. What is the nearest to -1 in k, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - -67 - (-8 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 74*k + 414. What is q(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109166*u + 109153*u = -325 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(2*d - 3*d + 0*d)*(2517 - 3800 + 2019 + (0 - 1 - 1)*(2 + 0 - 3) - 4 + 1 + 5 - 4 + 2 + 1).\nAnswer: 2217*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1396*p**2\/7 + 2344*p\/7 - 112.\nAnswer: 2*(p + 2)*(p + 98)*(7*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 2. Calculate the lowest common multiple of (-12)\/8 - (-3441)\/62 and g(-2).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4582912 kilometers?\nAnswer: 458291.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**3\/6 - 2*h**2 + h - 23. Suppose -4*l = -8, -2*i - 3*l + l = -14. What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:56 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4224529 is divided by 1825.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -361?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23113 - 103?\nAnswer: -23222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Suppose -4*r + 39 = -o*r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmppbbmp. What is prob of picking 1 b and 2 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -52. What is the third derivative of -5*j**k - 2*j**2 + 7*j**5 + 10*j**5 wrt j?\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, t: 5, g: 1}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 30 + 5*d**5 + 3*d**5 + 0*d**5 - d**5 + (2*d**4 + 0*d**2 + 0*d**2)*(0*d - 2*d + d) - d**5 + 3*d**5 - 3*d**5 + 3*d + d**5 - 3*d.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1675041792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 6. Let v be x(5). Let z = v + 9. Let r = -18 + 20. Solve 0 = -r*j - 5*u, 3*u + 1 = 4*j - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -39. Suppose 2*x - 12*x - o - 2*x**2 - x**2 + 31 = 0. What is x?\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -12)\/(-1) - 1. Let k(o) = 3*o**2 + 21*o - 26. Let u(y) = y**2 + 10*y - 13. Let a(t) = 2*k(t) - 5*u(t). List the prime factors of a(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4366361384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f - 2*f)*(45 + 2*f**2 - 45 + 9*f).\nAnswer: -10*f**3 - 45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 2\/3*-3. Let p(l) = 9*l**2 + 2 - 2*l + l**3 - l**y - 12. What is the units digit of p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 76.\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tilvbgg. What is prob of sequence tv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.9 (c) 6\/161 (d) 2\/7 (e) -3 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 20*v. Let s be l(10). What is the biggest value in 1, 4, s, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907561.\nAnswer: 1907561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*l + 274 + 588*l**3 - 274 - 587*l**3 - 131*l**2 to the form q + w*l**2 + j*l + t*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 + -40.4.\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 5. Suppose q = -u*j + 8, 3*q = -j - 13 + 4. Let l(m) = -16*m**2 + 2*m**3 + m**3 + 11*m**2 + m - 4*m**j. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(4*((-30)\/(-15)*1)\/(-8))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 20 = 4*c. Solve 2*o + 0*o - q - 2 = 0, -2*o = q - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 23*u**5\/15 + 3003*u**2. Let n(a) = -30*a. Calculate i(n(v)).\nAnswer: 82800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1\/26 - 26\/169. Is h at least -1\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:08 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8\/z)\/z**10)**35*((z**(-2\/7)\/z*z)\/(z*z**(-4\/11)))**(2\/25) assuming z is positive.\nAnswer: z**(-202267\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -516, -518, -520, -522?\n\"Answer: -2*m - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0761 + 42.6939. Let l = -0.77 + a. Let x = l + -42.033. Round x to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) 1\/18 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -547875.83000065 + 547878.13. Let y = 0.54 + 1.76. Let q = y - r. Round q to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(1\/(-6)). Suppose 101 = 2*r - 5*v, -3*r + 111 = z*v + 17. Is (3 - 1)*r\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5\/4 - 237*k**4\/2 + 28155*k**3\/4 + 222537*k**2\/2 - 118188*k = 0.\nAnswer: -201, -14, 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 26 - (15 + 7 + -10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 5046852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 9*g**2 + 37*g + 56. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-24))\/(-3 + 260\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 smaller than 554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11103569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000089522896 rounded to 6 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11b53 (base 14) to base 3\nAnswer: 2012112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 0)\/((-155)\/620).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-2)*(-24)\/(-3). Find the common denominator of (-166)\/3*(-6)\/h and ((-294)\/154)\/((-2)\/(-3)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxl. Give prob of sequence lxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u**2 + 3. Let h(m) = -4516285*m. What is b(h(g))?\nAnswer: 305952453018375*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = m - 11 + 1, 5*l - 10 = 2*m. Solve -d - 4*p + 4 = -8, m = 4*d + 2*p + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.11 + 3.448. Let n = 0.338157 - b. What is n rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1.2, 2\/11, -1\/14, 2, -41 in increasing order.\nAnswer: -41, -6, -1.2, -1\/14, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 3*k. Let j(o) = -10*o**3 + 8*o**2 - 6*o - 8. Let w(h) = h**3 - h**2 + h + 1. Let y(r) = -j(r) - 8*w(r). What is -2*n(p) + 3*y(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -258 - -823. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 364.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 2*r**2 + r**2. Let p(g) be the first derivative of 1\/2*g**2 + 0*g + 5. Calculate x(p(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 + 4697*k + 42493. Calculate y(-9).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -13*h**2\/2 - 2*h + 2. Let m(i) = -9*i - 1. Let o = -6027 + 6034. Give o*m(q) - 5*y(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360333 is divided by 360166.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 45*c + 175 = -46*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = b + 5*p, 0 = -4*b - 3*p + 5*p + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 602 - 213. Let n = -3 - -6. List the prime factors of (n - x)*2\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10618 is divided by 6233?\nAnswer: 4385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 506*v - 723*v - 5915 + 1141 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 111. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92541100 is divided by 23135274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 38 + 98 + 74 - 11 - 18*b to the form g + s*b and give g.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -142886019 times 0.5\nAnswer: -71443009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 4:15 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -24873*i + 298474. Determine v(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**3 + 577*l**2 + 105*l + 913. Calculate a(-96).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*o**(-1)\/o*o))**(-2\/55))**27 assuming o is positive.\nAnswer: o**(54\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 885204 and 0.8.\nAnswer: 708163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8869 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -15, 9*q - q = u + 51. Let w(n) = n - 3. Give w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(325) + 1)**2*-3 - (0 + (sqrt(325) - 2*(sqrt(325)*2)**2))).\nAnswer: 750*sqrt(13) + 7872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 313 = 4*h + 330, 0 = 4*h - 3*f + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3433485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.5. Let g = -0.5 + y. Which is the third smallest value? (a) 0.4 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 6*k**2 + 4*k**2 - 4*k**2. Let v(b) = -64*b**2. Determine v(o(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.0585097 take away -85.4?\nAnswer: -237.6585097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:14 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -688235, -688232, -688229?\n\"Answer: 3*t - 688238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*r. Let m = 5 + r. Suppose -p + 1 + 7 = 0. Calculate the remainder when p is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 49 (c) 2 (d) -0.26 (e) 0.5 (f) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -27, -4, 3, 0 in decreasing order.\nAnswer: 3, 0, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 4b?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21931)\/(-964) - (-3)\/(-4)) + -35?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.423801 nanograms to tonnes.\nAnswer: 0.000000000000005423801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828\/(-138)*(-1)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1616 + 471. Let n = 1685 + v. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -56, -112, -168, -224?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(sqrt(90)\/(6*sqrt(27)))\/(sqrt(384) + 1*sqrt(384) + (sqrt(96)*1 - sqrt(6))))**2.\nAnswer: -4*sqrt(5)\/171 + 116969\/29241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425388 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 109 (b) -8 (c) 468\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28966, -59019, -89082, -119161, -149262, -179391, -209554?\nAnswer: -239757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l - l**2 + 16*l**2 - 6*l - l**3 + 22. Let y be i(14). Let b(w) = w**2 + 2*w + 1. Calculate b(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (5 + (-4485)\/161)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28336 and -0.3.\nAnswer: 8500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2079\/530 - 6\/265. What is the common denominator of g and (0 + (-98)\/160)\/(-20 - (-1694)\/88)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let q(w) = -54*w - 9*w + 63*w - 315*w**2 - 908*w**2. Give q(j(h)).\nAnswer: -1223*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -177. Let r(f) = -163*f**4 - 8*f**3 - 157*f - 2. Let y(d) = -2*d**3 - d. Let k(q) = w*y(q) + r(q). What is the second derivative of k(i) wrt i?\nAnswer: -1956*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9039882 rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392\/9*q - 118\/9*q**3 + 128\/9 + 2\/3*q**4 + 376\/9*q**2 = 0. Calculate q.\nAnswer: 2\/3, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-35) - (-896)\/49. Let c be -120*(15\/(-4) - -3). What is the greatest common divisor of l and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/4 - (-27)\/(-108) - -9 - -1485942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4499, -0.6.\nAnswer: -4499, -6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*h = 0, f + 0*f - 2*h = 0. Suppose i + 2 = -f*i. What is the second smallest value in 4, 3\/4, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001011001010010010011 (base 2) in base 4?\nAnswer: -221121102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q + 6. Let j(g) = -2 + 2 - q*g**2. Let p(u) be the second derivative of u**3\/3 + 2*u. Give j(p(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 102\/5 (b) -83\/7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -14) + 9 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(36\/64) + -2. Which is smaller: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**(-2\/107)*w**(-5)\/w**0*(w\/w**(-4))\/w*w\/w**(-4\/7)*((w*w*w\/w**(-2\/5)*w)\/w)**19 assuming w is positive.\nAnswer: w**(244053\/3745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d - 14. Let v be -4 - ((-2 - 0) + 2). Let b(q) = -q + 4. What is the remainder when g(2) is divided by b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -2 (c) -1 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382221604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862514 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 10, a: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-25) + (-94440)\/750. Let i = c + 160. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5 - 68*i**4 + 3552*i**3 - 30292*i**2 + 50210*i - 23400 = 0.\nAnswer: -65, 1, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a + 100*a - 3485 + 573 = 69*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:04 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**3\/2 - 15*q**2\/2 + 20435*q. Let d(h) = 9 + 4*h + 4 - 6. Give -7*d(s) - 3*u(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -289 + 83*z + 35 - 81*z to the form g + w*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*h + 0 + 0.\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2*k**2 - 4*k)*(-3 - 1 + 2)*(10 - 7 + 8)*(1260*k**2 - 640*k**2 - 8 - 638*k**2).\nAnswer: 792*k**4 + 352*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 44333?\nAnswer: -44342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-62)\/(-3))\/((-22)\/(-363)). Let i = -239 + j. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 15 + 23 + 11 + 3*g - 32*g.\nAnswer: -29*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.073 + 0.927. Which is the third smallest value? (a) -2 (b) n (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 + k. Let n(b) = -16*b**3 - 12*b**2 - 13*b + 7. Let m(r) = -11*r**3 - 8*r**2 - 9*r + 5. Let d(c) = 7*m(c) - 5*n(c). Give d(p) - 4*s(p).\nAnswer: -p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let r(q) = -c*q + 4*q - 2*q. Let d(i) be the first derivative of -3*i**2 + 3998. Determine r(d(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -3*a - 36. Let y(z) = 4*z + 27. Does 2 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 5*l**2 + 13*l + 1989. List the prime factors of h(0).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*h + 614, 2*h + 2466 = 4*u - 8*u. Calculate the common denominator of ((-63)\/u)\/(3\/20) and 79\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 5. Let k = -20 + 29. Let z be s(k). Solve -p + 0*w - 4 = -2*w, -z*p - 5*w = -23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 5 = -50*z. Let y = 11 - 5. Solve r = 4*x - z, -2*x + y*x = 4*r + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293 + -164. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310 is divided by 116.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.2 - -52.7. Which is the biggest value? (a) j (b) -21 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 559 = 5*a + 94, 0 = 5*l - a - 545. What is the greatest common divisor of l and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 900*u**2 + 24*u**3 - u**4 + 4544*u + 13*u**3 + 9*u**3 + 7104 + 8*u**2 - u**4.\nAnswer: -2*(u - 37)*(u + 4)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -23 + 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 3*y - 1. Let g(k) = 3*k**2 + 3*k. Let j(t) = -3*g(t) + 2*w(t). Let a be j(-2). Solve 2*c + 4 = a, 8*c - 6 = -4*q + 3*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767549.904 rounded to the nearest one hundred?\nAnswer: 4767500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 8*s**2 + 8*s + 1. Give c(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1053 and 0.75?\nAnswer: 789.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 55. Let k(i) = 1. Let d be (2\/(-1) - -3)*(-11 - (-28 + 18)). What is d*p(h) + 2*k(h)?\nAnswer: -2*h + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = h - 5*n, -5*h + 9*h + 2*n = -150. Which is bigger: h or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000110 + 1011?\nAnswer: -100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 31931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9102.605 days to minutes.\nAnswer: 13107751.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 divided by 6?\nAnswer: 323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-35))\/(556\/695).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -20. Suppose -2*l - j = 9. Let d be l\/(-8) - (-1)\/4. Is d greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818529 + 818529 + 41*z**3 - 31*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3, 18.3?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 - 4*l - 1. Let k be z(5). Let m be 2\/k*(-8)\/20. What is the third smallest value in m, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -10 - (-1 - (-15 + -2 - -6))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 91*l**2 + 44*l - 42. What is g(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((-5 - -5) + -9 - (-52 + 43))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110021001 (base 3) to base 12\nAnswer: -520a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -82295.44 to the nearest 100.\nAnswer: -82300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3681 - -25764\/7. Which is the second smallest value? (a) -208 (b) 3 (c) -2\/5 (d) -5 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/9 - 99175732*i\/9 - 1229478227216978\/9 = 0.\nAnswer: -24793933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, z: 2, k: 1, h: 2, r: 2}. What is prob of sequence iz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25*s**3 + s**2 - 6. Let z(c) = 5*c**3 + 1. Suppose -4*f = y - 6 - 1, -2*y = f. Give f*n(u) + 11*z(u).\nAnswer: 5*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022200010 (base 3) to base 4.\nAnswer: 12112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79 and 16\/32*4*2.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 68541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f*f*f**6*f)\/f*f)\/(f*(f*f\/(f*f*f**(1\/3)))\/f*f*f))\/(f**(1\/5)*f**(2\/11)\/f))\/((f**5)**(1\/2))**(-1\/3) assuming f is positive.\nAnswer: f**(3559\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(48)\/sqrt(6))\/(4*(sqrt(4) + sqrt(100))).\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 110.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/((v**(-3)\/v)\/v)*v)\/v)*v**(-5))\/(v*(v\/v**1)\/v)**29 assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283218519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83742 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)*3*16\/(-8). Let r(o) = 10*o - 3*o**2 + 4 - 1 + o**2. Let w be r(q). What is the smallest value in 2, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1374 - 247*c**2 + 729*c**2 - 241*c**2 + c**3 - 243*c**2.\nAnswer: c**3 - 2*c**2 + 1374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 2 = 0. Suppose -3*y + d + 25 = 0. Let m = y - 3. What is the least common multiple of m and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 923*p**4 - p**2 - 1822*p**4 + 904*p**4 - 9 as t*p + s*p**3 + j*p**2 + x + c*p**4 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + y = 2*c + 27, 4*c = -2*y - 30. Which is smaller: -8 or c?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z**2 - 2*z + 1. Let i be k(-2). Let y be 20\/110 + 5\/(55\/328). Let r = y + i. Round r to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -90, -222, -396, -606?\n\"Answer: o**3 - 30*o**2 - o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 59774bb?\nAnswer: 59774bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (1 - 0 - -42). Suppose -3*x = 2*t - 2*x - 14, -4*t = 5*x - 40. Let f = w - t. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzgyggghggxyh. Give prob of sequence ghhx.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -49*f + 190. Let r(m) = 16*m - 71. Calculate 4*p(v) + 11*r(v).\nAnswer: -20*v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/5 - 48*i**3\/5 - 68*i**2\/5 + 432*i\/5 + 90 = 0. Calculate i.\nAnswer: -3, -1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/10 - (-14)\/70. Suppose -4*s + x*s = -5. Sort 14, s, 1.\nAnswer: s, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 21 - (-15 + 25) - (-2 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -16.337.\nAnswer: 65.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 453\/(-1510) + 14\/4. Find g such that -24\/5*g - 12\/5*g**2 - x - 2\/5*g**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/19 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*((-2)\/7 - 27\/(-315)). Suppose 2*p - 124 + 45 = -3*o, -r*p + o = -91. Suppose -5*f - 7 = -p. Calculate the greatest common divisor of 135 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h - 56. Determine d(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 481 + -480.366. What is k rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 1, v: 3, p: 1, j: 4, h: 1}. What is prob of picking 1 j, 1 h, 1 p, and 1 f?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:12 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w - 59. Suppose -4*x + 3*t = -225, -4*x + 0*t + 5*t + 215 = 0. Suppose -5*r - x = -f + 4*f, -25 = -5*f. List the prime factors of m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 5. Suppose -3*x - 6 - 6 = 0. Let a be d(x). What is the units digit of 19\/a + (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v + 10 = -4*m, 15 = 4*v + m. Suppose -2*j + 120 - 16 = 3*i, 0 = 4*i - v*j - 131. Let q = -20 + i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 19\/5 (b) 1\/2 (c) -2 (d) -2\/3 (e) 2\/17 (f) 20562\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/5)\/f)\/(f**(-2\/5)\/f) assuming f is positive.\nAnswer: f**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*b - 2*b = 16, -5*b - 3 = -2*o. Sort 2, 7, o in descending order.\nAnswer: 7, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s + 1211 = 5915. Calculate the highest common divisor of 1072 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 3 + 17 - 11 + 0 + 4*n + 0 + (-n + n - n)*(2 + 1 - 5).\nAnswer: 8*n + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 0*k)*(-2*k + 1 - 1) - 3*k**2 + 2*k**2 + 2*k**2 + (-7*k - 5*k + 4*k)*(2 + 1 - 7)*(-k + k - 3*k).\nAnswer: -93*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311211030 (base 5) in base 7?\nAnswer: -36263364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -25. Let i be 110\/4*44000\/u. Round i to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m. Let w(k) be the first derivative of k**5\/20 - k**2 - 2*k - 2. Let h(z) be the first derivative of w(z). Calculate h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 685*b - 778*b + 279. Solve -16 = -4*l, 11*c = 10*c - b*l + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/3)\/m))**(3\/40)\/(m*m\/m**(-5)*m**(-1)) assuming m is positive.\nAnswer: m**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284458960.\nAnswer: 2, 5, 17, 37, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -9 - 1, -n - 6 = -2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*l - 33 - 30, -4*i + 76 = 2*l. Calculate the greatest common divisor of i and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3650375, -7300731, -10951085, -14601437, -18251787?\n\"Answer: v**2 - 3650359*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -2 - ((-7)\/5)\/(129\/645). Let c(n) = 12*n - 38 - 2*n + 5*n. What is the units digit of c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -104 and -23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8 = 2*i. Let c(k) = 4*k**2 + 65*k + 20. Let s be c(-16). Sort s, 1, -2, i in descending order.\nAnswer: s, 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 0, -2*c + 6*c + 3*m = 14622. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 9*o + 17. Let p be q(-11). Let f be (-6)\/(p - -4 - 0). What is the units digit of ((-12)\/(-18))\/(f\/81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23590.96*-0.5\nAnswer: -11795.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:03 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27\/6 + (-228084)\/(-8).\nAnswer: 3, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -l - 5*j + 5, 2*l = -4*j + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - 4111035?\nAnswer: -4111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/135)\/((-4)\/18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 - (-30 + 29 + 10) - -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -140 - 19*k + 43 + 53 + 44. Let m(f) = -8*f**2. What is s(m(v))?\nAnswer: 152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 1:42 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444533\/2853 + 306\/317. Let k = a + -157. What is the nearest to -1 in -1, 0.4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177638 divided by 2?\nAnswer: 1588819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25353790237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1741989 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133568520 divided by 888?\nAnswer: -150415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13377*f**4 - 517*f**2 - 3*f wrt f.\nAnswer: 321048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 350007389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvjuuguhhujhuguujvuu. What is prob of picking 1 g and 1 u?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 29*k = -44150. What is k rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216435013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**4 + 1331*x**2 + 6968*x - 15563970?\nAnswer: -8*x**3 + 2662*x + 6968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6511566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b + 191. Determine a(-32).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/5, 75 in increasing order.\nAnswer: -0.5, 1\/5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(22\/12)\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*z**3 - 35363*h - 166969*z**3 wrt h.\nAnswer: -z**3 - 35363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 != 1.1977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 34916940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 1135241?\nAnswer: 1135263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -5639.8 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3))**(1\/2)*t**(-1\/10)*(t*(t**(-25)\/t*t)\/t*t*t*t*t)\/t*t*t assuming t is positive.\nAnswer: t**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 944859, 944864, 944877, 944898, 944927?\n\"Answer: 4*d**2 - 7*d + 944862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5380060072.99999851 - 5380059758. Let b = -315 + p. What is b rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7474533, -14949209, -22423885?\n\"Answer: -7474676*l + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26081 and -28097.\nAnswer: -732797857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10*r + 85 = 0, -61 + 56 = -r for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 83*f + 104*f - 2002 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 219, 3\/2, 3\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -69. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4856907 divided by -3.\nAnswer: -1618969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 116\/10. Let p be (3\/6)\/(2\/j). Let q(d) = 2 - 5*d**2 + 2*d**2 + 2*d - p*d. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 0 + 22 = -25*r. Put 1, r, -29, 46 in decreasing order.\nAnswer: 46, 1, r, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1622 + 1665. What is the greatest common divisor of 3311 and r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1357 = -2*s, 5*s - 4*a - 1350 = 3*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -106*w. Let l(x) be the first derivative of x**3 - 266. Calculate g(l(o)).\nAnswer: -318*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 419*i - 365*i - 207*i - 267*i - 12180 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -4*t - 5, 5*t - 5 = -5*i. Which is smaller: i or 25\/41?\nAnswer: 25\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrjrtjsjss. Give prob of sequence ssrj.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1145*-3.1\nAnswer: 3549.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 24*j**2 - 21*j - 3. Let n be i(-23). Let a = n - -51. Factor 4\/5*s**5 + 0 + 8\/5*s**4 - 4\/5*s + 0*s**3 - 8\/5*s**a.\nAnswer: 4*s*(s - 1)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2*d**3\/3 + 24*d**2 - 45*d + 4. Let x be h(-25). Solve 0 = x*i - 24 + 34 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let n = -139 - -144. What is the second derivative of -3*w**5 - c*w - 2*w**n - w - 2*w wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t. Let f(w) = -13*w. Let k(r) = 11*r. Let s(l) = -6*f(l) - 7*k(l). Calculate y(s(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 * 3.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13003023 - 1013033?\nAnswer: -20022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70553\/12 + -5875. Find the common denominator of g and ((-11)\/(-11))\/(114\/(-2071)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 4*sqrt(6)\/sqrt(2))**2*4.\nAnswer: -392 - 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Solve k = a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15769 - 2791 = -4*p. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.9576 plus 0.108?\nAnswer: -48.8496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -5. Let g be (-12)\/9*n\/(-4). Let s(k) = -2*k**2 - 22. Let o(r) = -1. Let t(w) = g*s(w) + 44*o(w). Calculate t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5477 = 5*n, -663 = -2*n - 665. Calculate the smallest common multiple of 192 and o.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*u**3 - 6649311*u + 6649307*u + 3 - 23*u**3 to the form y*u**2 + m + k*u + o*u**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {d: 6, e: 4, i: 5, c: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-98)*(-7)\/(-4))\/((-4)\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 147 - 203 = -4*c, -4*c + 320 = -4*p. Calculate the greatest common divisor of 85 and c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81290 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1480 or 1479?\nAnswer: 1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1328 + 1336. Let t be ((-436)\/6)\/(4\/(-6)). Let j = l + t. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 3. What are the prime factors of b(10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -24. Solve -o*h = 3*t + 16, -t + 4*h + 11 = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7336*b - 13 = 7323*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 12*p - 4. Let h be b(11). Let q be (-6)\/9*3 + h. Suppose 5*l - q = 0, -2*f + 2*l + 0*l + 150 = 0. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (124 - 68) - 125?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9563?\nAnswer: 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + z + 0 + (-12 - 6 - 9)*(0 + 0 - 3*z) + z + 6*z - 2*z.\nAnswer: 87*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3062\/33647 or 0?\nAnswer: -3062\/33647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 271289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3105*z - 1580*z + 4922*z.\nAnswer: 6447*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-308)\/1598) + (-15)\/35. Let q = s - -39\/7. Sort q, 3, -0.1 in descending order.\nAnswer: 3, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199559 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20883 divided by -18.\nAnswer: -6961\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 - 322*s**3 + 3*s**2 - 8*s**3.\nAnswer: -353*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-560181.\nAnswer: -2240724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2. Let s be h(-1). Let a be (-12)\/22*-15 + (-22)\/121. Is a at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5\/6, 10\/13, -0.381, 3, 0.02?\nAnswer: -0.381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.841.\nAnswer: 0.4205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4 - 175*o**3 + 1170*o**2 + 6040*o - 7040 = 0.\nAnswer: -4, 1, 16, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/24)\/(2\/(-12)). Suppose -2*y + i*p = y - 137, -3*y + 157 = 2*p. Suppose 5*t - 2*x - 950 = -y, -4*x = 4*t - 732. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-8 - -8 - -9 - (-2 - -1))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1906*r**2 - 953*r**2 + 3 - 951*r**2 + r - 3*r**4 - 2*r**3 to t*r**3 + a*r**4 + p + f*r**2 + y*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 3. Let h be n(4). Solve -10 - h = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11669601*m**2*r**2 - 480*m*r**2 - 280*m wrt m?\nAnswer: 23339202*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*v - 6933, -3467 = 9*v - 11*v + u. Calculate the greatest common factor of 204 and v.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134578217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-135))\/(-2)*6\/2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7216 or 7243?\nAnswer: 7216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*j + i, 15*j - 20*j - 2*i = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2182275 = 2491725. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550390783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + 0*a)*(4 + 2 - 4)*(5 - 5 + 2)*(1472*a**3 - 2951*a**3 + a + 1481*a**3 - 548*a**4).\nAnswer: 4384*a**5 - 16*a**4 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1445701 * 5.\nAnswer: 5.7228505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -516, -776, -1036, -1296, -1556?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 92 + (6 - 0 - 11) - (37 + (-29 - 16))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69022683, 138045363, 207068043, 276090723?\nAnswer: 345113403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s - 17. What is the tens digit of p(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 7*q + 296 + 4*q + 27*q + 2*q. Is 79 a factor of i(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*n**5 - n**3 - 6*n + 114 wrt n.\nAnswer: -1620*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2 (c) -0.7 (d) 0.057 (e) 8 (f) -8\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.24 + -0.24. Let q be (-6)\/(-1) - -1*1. Sort -0.3, q, b.\nAnswer: -0.3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482149593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-17)*v)\/v)\/v)\/(v*v\/v**36))\/(v*v*v**(-24)\/v*v*v)**(-35) assuming v is positive.\nAnswer: v**(-719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-4)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - 47\/(-4). Let b = z + -3. Suppose -2*h + 5*h - b = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50, 100, 148, 194, 238, 280?\n\"Answer: -l**2 + 53*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -27) + -49 + 37 - 8) + 44.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/42)*h*h*h)\/(h*(h**(11\/6)*h*h)\/h) assuming h is positive.\nAnswer: h**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14374?\nAnswer: 2, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0.4, 168 in ascending order.\nAnswer: -3, 0.4, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -400. Calculate the least common multiple of k and (-340)\/(-30) - 4\/3.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -20*b**7\/21 - 82*b**6\/15 - 12*b**5\/5 + 67*b**4\/3 + 16*b**3\/3 - 24*b**2 - 4449*b. Let s(z) = 0. What is z?\nAnswer: -3, -2, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403498 and 72242.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 12*k - 52. Suppose s - k = 3*u, 4*s + 6*u - 4*u = 80. Find the third derivative of -15*a**3 - 13*a**2 - 13*a**2 + s*a**2 wrt a.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 19*t**2 - 74*t - 31. What is g(8)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/202 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 928*g**2 + 7652*g - 6720.\nAnswer: -4*(g - 7)*(g - 1)*(g + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - n + 3*b, -n = b + 1. Solve 0 = j + 3*f - 4, n*f - 2 = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41407 is divided by 518.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000675 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586896.\nAnswer: 2, 99181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 9 - 144 = 0. Let i = 34 + -29. Suppose 140 = i*j - 125. What is the remainder when j is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = -5*b + b, 3*b + 24 = 3*l. Let q be (-5)\/10*l*2. Let j be 10*((-6)\/(-4) - 2). Sort -1, j, q in increasing order.\nAnswer: j, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 = 3*i, -5*i - 4 - 1 = 0. Suppose -3*h = -4*z - 16, -h - 8 = -b*h. Let s(v) = -3*v**3 - v**2 - v - 1. Determine s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 584*i + 57 = 583*i, -2*i - 165 = -3*t. What is the highest common divisor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/7 + 4\/(-14). Let w be a\/(-6)*(-27)\/(-12). Let o be (-1 + 3\/w)*-2. Let u(p) = -p**3 + 1. Give u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4383330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10511288 and 49\/8?\nAnswer: 10511288","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 3)*(-81*w**2 - 6702*w + 6702*w) as b*w**2 + r*w + y and give b.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 10*l - 6. Let t be z(4). Let v(x) = -3*x**2 - 7*x + 10. Let k(s) = -s**2 - 2*s + 3. Give t*v(h) - 7*k(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 174039 = 56711. What is the greatest common divisor of 125 and i?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 0, 3*k = 3*d - 0*k + 12. Let j = d - -2. Let b = j - -13. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -795526.8 and 0.01628.\nAnswer: -795526.78372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403028?\nAnswer: 2, 19, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780300 divided by -3?\nAnswer: -1780300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + -1. Let k = 46 + o. Suppose 39 = -0*y + 5*y - 3*p, -3*p = -3*y + k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/(-6))\/(-1221))\/((-3)\/(-90)*5).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382463605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1d?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let c(o) = -1185586*o. Determine l(c(f)).\nAnswer: 1185586*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 6, x: 1, l: 2, a: 10, n: 1}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -100, 31808, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93542461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 29*u + 28. Let f be t(25). Let g = -68 - f. Let j = -18 - -22. Solve y - g*h = h - 22, -j*y - 3*h = -27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 0, -5*j - 3 = p - j. Suppose 29*s - 293 = 229. Solve -s*b - p = -19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2165931000 rounded to the nearest 1000000?\nAnswer: -2166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 + 13 = 0. Let x = -4 - n. What is the derivative of x - m**3 - 7*m**2 + 7*m**2 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/4 - 207*g - 2511\/4 = 0. What is g?\nAnswer: -3, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*j**3 - 8*d*j**2 + 2763*d - 49772*j**3 wrt d.\nAnswer: 2*j**3 - 8*j**2 + 2763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 85 + 26. Suppose 4 = 4*l, 3*q + 0*l = 4*l - g. Let o be (-16500002)\/q - 10\/55. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from egergbegggbg?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 16. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-10) - (36\/4 + -7).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 6. Let f be (6\/x)\/(4\/(-16)). Suppose 6*k - 48 = f*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.667 + 0.093. Round k to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-1 - -10 - (27 - 19)) + -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -73. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)\/j*j**(-2\/45)*(j**(3\/5))**(4\/23) assuming j is positive.\nAnswer: j**(-3043\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((60\/8)\/1)\/(63\/(-42)). Suppose 2*u - 30 = 7*u. Is m > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 37 = -3892. What are the prime factors of j?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Is 63777222 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f**5\/19 - 924*f**4 + 162614*f**3\/19 - 315148*f**2\/19 + 224168*f\/19 - 54096\/19 = 0. Calculate f.\nAnswer: 2\/3, 1, 7, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 15*l**3 + 18*l**2.\nAnswer: -3*l**2*(l - 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602670735.\nAnswer: 3, 5, 1481, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -218.9 (b) -5 (c) 3332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 163. Suppose -q*r = 3*d - 6, d = -3*r + 7 + 5. Put d, 3, -10 in ascending order.\nAnswer: -10, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*l = 99, 3*u + 48 = l - 51. Let c = -21 - u. Suppose p = 5*p - c, 0 = -3*i - 4*p + 84. Solve -5*x = 3*r - i, 4*r + 3 = -x + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3768155 divided by -1.\nAnswer: -3768155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 2, 3, 2497 in decreasing order.\nAnswer: 2497, 9, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 256031 - -4?\nAnswer: 256035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171485?\nAnswer: 3, 5, 7, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + o + 10, g + o = 5. Suppose -7 = -6*u + g. Let w(q) = 2 - 3 + 259*q - 276*q + u. Let y(l) = 4*l. What is 2*w(v) + 9*y(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j - 88. Let s be q(13). Let b(h) = -h**3 - 6*h**2 + 21*h + 18. Let z be b(-9). Calculate the greatest common factor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290846.\nAnswer: 2, 145423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + (1 - 0). Let t = 19 - 18.8. Let x = t + 1.8. Sort x, b, -1 in descending order.\nAnswer: x, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkmmmkkmm. What is prob of sequence mkm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 1. Let s(y) = y. Let l(v) = -3*g(v) + 5*s(v). Let i be l(-6). What is the second derivative of 4*t - i*t + 2*t**5 - 2*t wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.2242 weeks to seconds.\nAnswer: 220887596.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 848 and 56880?\nAnswer: 3014640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9439, -9562, -9685?\nAnswer: -9808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/54 + ((-5178)\/(-27) - -3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52881 + 59967127\/1134. What is the common denominator of p and -13\/35?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-3)*6\/336?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54229912?\nAnswer: 2, 11, 31, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 17}. Give prob of sequence iaaa.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 40551.05 millennia?\nAnswer: 405510.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 272 + 303. Calculate the remainder when b is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a + 33\/5*a**2 + 12\/5*a**3 + 9\/5.\nAnswer: 3*(a + 1)**2*(4*a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640 - (-5)\/(1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 436*y**2 - 2309*y**2 + 627*y**2 + 5*y**4 + (-4*y**3 + 2*y**3 + 4*y**3)*(-y + 3*y - y) to the form k*y**3 + n*y + a*y**4 + o + d*y**2 and give d.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l. Let q(p) be the third derivative of p**5\/60 - p**3\/6 - p**2. Let n(s) be the first derivative of q(s). Calculate i(n(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**3 + 3*h**2 + 0*h**4 + 0*h + 92 - 1\/20*h**5. Let b(c) be the second derivative of -7*c**3\/2 - c. Calculate b(k(g)).\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 3795*u**3 - 82710*u**2 - 631800*u.\nAnswer: 5*u*(u - 27)*(u + 6)*(u + 780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 5, -4, -849, -16 in descending order.\nAnswer: 5, -1, -4, -9, -16, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3486 - -8?\nAnswer: -347b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56461, 225829, 508115, 903325, 1411465?\nAnswer: 2032541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 35963.\nAnswer: -7192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -0.016839.\nAnswer: 2.983161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*v + 2, s - 6*v - 6 = -5*v. Solve -2*y = -5*y - s*l - 8, -4*y - 12 = 2*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 1056436*o\/11 + 5282130\/11.\nAnswer: 2*(o - 528213)*(o - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:55 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/12 - 4*g**3\/3 - 4*g**2. Let j be z(8). What is the greatest common divisor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-2)\/15*1615\/(-76). Let s be (-1)\/(-4) - (-1)\/4. Let v = 0 + 0.1. What is the closest to -0.1 in f, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 618 - 616. Find the first derivative of -93 - 71 - 415*w**2 + 417*w**d wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let c(r) be the third derivative of -r**2 + 0*r + 1\/60*r**5 + 0 - 1\/2*r**3 + 0*r**4. Let u(m) be the first derivative of c(m). Give u(l(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*j - 40334 = -618*j + 138658. What are the prime factors of j?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Suppose 0 = -l*x - 0*x. Suppose x = 5*z + 7 - 2. Sort -2, -2\/15, z in decreasing order.\nAnswer: -2\/15, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*v**3 - 22*n*v**2 - 82591*n*v - n + 15*v**3 + 2623*v**2 + 248*v wrt v?\nAnswer: -12*n*v - 44*n + 90*v + 5246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/840)\/(9\/1197).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-10))\/((-2)\/12*72\/(-360)). Solve -5*d = 15*j - 17*j + b, -j - 2 = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84997 - 3)\/(1\/(-202)). What is v rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17233)\/5442*(-6)\/38.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-28))\/((-2)\/(-14)). Suppose 0 = -j*b + b + 40. What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**(-1)*((a\/(a*a\/((((a\/a**(2\/9))\/a)\/a)\/a)))\/a)\/a*a\/(a**(-6\/11)*a)*a)\/((a**(-1\/3))**(-4\/25)\/(a\/(a\/a**(-1)))**(-3\/8)) assuming a is positive.\nAnswer: a**(-96131\/19800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/((-2331)\/(-28)) - (-9616)\/9. What is the highest common factor of 89 and p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92256 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -74.9. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 1, s: 2, p: 1}. Give prob of picking 1 e, 1 s, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 4*y - 2143 + 2127, 5*u + 2*y + 36 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 6, z: 4, c: 1, q: 5, w: 3}. What is prob of sequence ce?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-300) + 346\/444)*((-25)\/(-3))\/25?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 245615173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**4 + 5*h**2 + 20*h - 25*h - 4*h**2 + 11*h**4 in the form a*h + n*h**2 + u*h**3 + m + d*h**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + -128. Let w = i - -594. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285155*r**3 + 8178*r**2 - 13 wrt r.\nAnswer: 1710930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (0 - 0). Let k = 25 - 24.3. Let d = 0.9 - k. What is the closest to 3 in y, d, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8 and 5\/3528708?\nAnswer: 7057416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/206340 + -813853\/9010180. Calculate the common denominator of 43\/655 and a.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v - 5. Let t be (12\/108)\/(23\/414). Let k(p) be the third derivative of 7*p**4\/24 - 2*p**2. Let o(h) = 3*h. Calculate t*k(z) + v*o(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 5\nAnswer: 256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1502*a + 2312 = 1519*a. What is the remainder when a is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-8) + -2 - -50. Let q(g) = g. Let u be q(-4). Let x = r - u. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 3\/10 (c) -0.6 (d) -2\/7 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2982)\/(-142)*2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/56)\/(((-6)\/9)\/((-1040)\/156))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436802605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lraef. Give prob of sequence fe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -534150 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11549*p. Let v(x) = -x. What is v(u(z))?\nAnswer: 11549*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*b + 3. Suppose 7*p = 7*p - b*p. Solve 0 = 3*t - p*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(30\/(-32)) - 12\/(-36). Which is the nearest to -0.7? (a) 2\/13 (b) t (c) 1\/4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 3 - (-1 + -2). Let b(x) = 3*x**3 + 0*x**t - 3*x**3 - x**3 + 1. Let r(d) = -4*d**3 + 2*d**2 + 5. Let g = -21 - -26. Give g*b(o) - r(o).\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 20*l + 18 = 0. Let r be 10*1\/(1\/2). Solve -t + 1 + 4 = -d, 4*t - r = -l*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/371 + (-16)\/(-63).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 44 = -3*d. Let g = -7 - d. Factor 4*s**3 - s**3 - 4*s**3 - 15*s**4 + g*s**2 + 4*s.\nAnswer: -s*(s - 1)*(3*s + 2)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*-2*6)\/sqrt(2))**2 + (sqrt(833) + -1 + sqrt(833) - sqrt(833)) + 3.\nAnswer: 7*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 + u + 10. Let m(k) = -1. Let s(a) = -3*m(a) - z(a). Suppose -7*r + 2*r = 0. What is s(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306295 is divided by 2224?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times 0.22\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 6. Let p be f(11). Is 30 a factor of p*(-6)\/10 - -176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:46 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1834461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160565 (base 7) in base 12?\nAnswer: 16295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -15*p - 36. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -2*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q + 2 + 5*q**2 - 76*q**3 + 2*q + 80*q**3. Let l(w) = 2*w**3 + 2*w**2 - 2*w + 1. Calculate -5*l(b) + 2*s(b).\nAnswer: -2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((-118)\/((-33984)\/(-24)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - m - 16, 0*m = -5*q - 4*m + 20. Suppose 5*u - 55 = -q*g, -2*u = 5*g - 3*u - 105. Solve -19 + g = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37035969?\nAnswer: 3, 12345323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-26)\/((q*(q**(-2\/15)\/q)\/q)\/q**(2\/17)))\/(q**5*q*q*((q*q**(-1))\/q)\/q*q*(q**1*q)**0) assuming q is positive.\nAnswer: q**(-7841\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45096673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuuutu. What is prob of sequence tuu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 + 326. What is the second smallest value in -2\/5, v, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2\/16 + (-475)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -22, -3, 1, -199 in increasing order.\nAnswer: -199, -22, -4, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 5*n, -4*n - 14 = 355*w - 356*w. Let y(t) = 9*t**2 + 3*t - 2. Let i(p) = -9*p**2 - 3*p + 2. What is w*i(h) + 5*y(h)?\nAnswer: -9*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -0.10951?\nAnswer: -0.10951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/61 (b) 2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866*t - 1737*t + 869*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2939 + 14693\/5. Put l, -2, 9, 5, 2 in decreasing order.\nAnswer: 9, 5, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358.347 + 358. Let h = -0.126 - t. Round h to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(-21 + 1506\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/16*0)\/(-2). Suppose s = -9*b + 7*b + 32. What is the second derivative of -24*o**5 + o**2 + 14*o**5 + b*o - o**2 wrt o?\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + (-212)\/(-45). Let u = -239\/45 + a. Let j(z) = z**3 - z - 1. Let c be j(0). What is the biggest value in u, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 4*d - 187. Suppose 0 = d*c - 18*c + 3. What is the units digit of (1\/c)\/(11\/3729)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-28) - 102\/(-14). Let d(c) = c + 9. Let u be d(-8). Let g be u\/1 - (16 + -15). Solve b - 4*l - 8 = g, 3*l - a = 4*b - 0*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**4 + 3*i**2 + i. Let l(s) = -s**2 + s. Let c(f) = -3*l(f) - v(f). Find the second derivative of c(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(4*b + 3*b - 6*b) - 3*b + 2*b + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44520973 rounded to 3 dps?\nAnswer: 1.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 52808 = 22*y. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h*t*y + 70919064*h*t - h - 133399171*y wrt t?\nAnswer: 6*h*y + 70919064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -8. Suppose 4*w = p + 7. Solve 9 = -r - 2*o + 5*o, w*r - 4*o = -12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d - 426465 = -122*d. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 e when three letters picked without replacement from {o: 1, y: 1, w: 1, l: 1, e: 2, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*a + 37, a = 3*o + 9 + 8. Let y(s) = 3*s + 5. Let q(m) = 4*m + 7. Let w(t) = o*y(t) + 5*q(t). Let d(g) = -35*g + 73*g - 39*g. What is d(w(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:30 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icoiiipofio. Give prob of picking 1 c, 1 f, and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 3*q**3 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 - 7 = 0. Suppose -103*c = -90*c - 1105. Calculate the greatest common factor of g and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7848)\/(-112) + (-5)\/70?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528\/594*3\/4 + 27\/(-39).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104494030, 208988060, 313482090, 417976120, 522470150, 626964180?\n\"Answer: 104494030*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d. Let r(b) = 4633*b + 902. Let l(p) = 41*p + 8. Let h(t) = -451*l(t) + 4*r(t). What is h(y(w))?\nAnswer: 82*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/70 and (1\/(-40))\/((-5)\/(1380\/21))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488620 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 0.3. Let q = x - -1.00007. Round q to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-12)\/(-14) + (26 - 2661\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 1. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 9?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 12*u**2 + u - 7. Give d(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9004 less than -9004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.3. Let b = 4.881 + -0.181. Let m = b + y. What is the third smallest value in 3, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23153240 and 808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1037, -4, -5304 in decreasing order.\nAnswer: -4, -6, -1037, -5304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (261\/(-174))\/((-14)\/28). Suppose 3*o + 5*c = 125, -4*c + 0*c - 20 = 0. Let b be o + 0\/(-1) + 1. What is the greatest common factor of b and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 196.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -161*(-23)\/4545 + (-4)\/10. Let n = c - -3\/101. Factor -2\/9*q - 2\/9*q**2 + n.\nAnswer: -2*(q - 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(162)*1))\/(sqrt(20)\/(sqrt(810) + sqrt(810)*2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539) - (2 + sqrt(539) + 0)) - (5 + (sqrt(539) - 2*sqrt(539)) + sqrt(539)))**2 + -2.\nAnswer: -42*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 203.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3984)\/(-20) + 31\/(-155) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 11. Let h(x) = 2*x**3 - 11*x + 2*x - x**2 + j*x. Let k be h(1). Solve -3*g = -2*p + 3*p - 11, -4*g = k*p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3440*w - 3440*w - 2*w**2 + w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9241000494.\nAnswer: 2, 3, 11, 3907, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -174 + 46*t**2 - 19*t**2 - 7*t**2 - 23*t - 19*t**2. Is d(-7) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 58?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4. Let u(k) = k**3 + 2*k**2 - 8. Give 7*a(n) - 4*u(n).\nAnswer: -4*n**3 - n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494.6 - -148.7. Let g = k + 321. Let z = 25 + g. What is the fourth biggest value in -0.1, z, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 574 - 574.037. Let q = 0.537 + g. Let f be ((-3)\/(-2))\/(1\/(-2)). What is the smallest value in q, 0.3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2882324, -2882322, -2882320, -2882318, -2882316?\nAnswer: -2882314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 827099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/42*2*(2 - -2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/3 (b) 33 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 331580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 - 4)*(-31*u + 31*u + 17*u**2)*(22*u**2 - 26*u**2 + 19*u**2) to the form j*u**4 + q + o*u**2 + d*u + n*u**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 4, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-80))\/((-136)\/40)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 16*h**2 - 2851*h\/4 + 1457\/2.\nAnswer: (h - 94)*(h - 1)*(h + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10359\/11510*(-25)\/690?\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-48) - 407\/(-8). Suppose -12*i = -11*i - a. Calculate the greatest common factor of i and 306.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 783.\nAnswer: 173043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.067, 1\/8, -2, 8, -0.8 in descending order.\nAnswer: 8, 1\/8, 0.067, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - 61*v + 61*v + (2 - 2 + 3*v)*(-v + v - v))*(-3 - v + 3).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 5*f - 6. Let p be o(-2). Let q be (-4)\/p*-4*12\/8. Suppose 0 = -5*r, -q*z + z + 4*r = -50. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (-865 - -885)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 5*p, -4*z + 20 = -2*z + p. Calculate the greatest common factor of 80 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/3)\/1)\/((-108)\/162)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2348 - 2349 + 4677 - 9*l. Let v(a) = -4*a - 10. What is 2*f(h) - 5*v(h)?\nAnswer: 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + 25900?\nAnswer: 25923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/5 - 32*y**2\/5 + 256*y\/5 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*m - 41399 = 91*m + 120*m - 28853 for m.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8115*d**3*n**2 - 3*d**3*n - 2*d**2*n - 19*d**2 + 3*n wrt n?\nAnswer: 16230*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let v(l) be the third derivative of -l**5\/60 - 3*l**2. Determine 7*o(m) - 5*v(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -158, -1163, -3898, -9227, -18014, -31123?\n\"Answer: -144*c**3 - c**2 + 6*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 + q - 3. What is the smallest common multiple of w(7) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 4. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3 + 66172*h**2 - 794352*h = 0.\nAnswer: -33098, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056*b + 2018*b - 4084*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (543 + 870 - 455)*(-3 - v + 3).\nAnswer: -958*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -179, -291, -423, -581, -771?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -2285.57?\nAnswer: 102850.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.2. Let p = i + 0.8. Let s = -1.3 + 4.3. Which is the third smallest value? (a) s (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 8*g + 2 + 13 + 13 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -115. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i - 16. Let g be w(2). Suppose -4*u = -2*b + 568, g = -0*b - 4*b - 5*u + 1110. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w**(-1\/4)*w))\/w))**(-5\/7)\/(w**(1\/6)\/(w*w\/(w*w*w**(2\/9)*w*w))) assuming w is positive.\nAnswer: w**(-131\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/4*8\/54*3. Suppose -r - 5 = 6. Let z = r + 13. Solve 3*p = z*p - c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 2, z: 1, s: 2, y: 1, a: 1, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 74, 78, 84?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*y + 84, 2*y + 4 = 12. What is the greatest common divisor of 34 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -0.3 (c) -0.04 (d) -5\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 - 19*c - 6230 = 0?\nAnswer: -70, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 2}. Give prob of picking 4 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:33 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13792 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/(-10))*(-12)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q - 45. Let g be x(-5). Let i be 3\/51*(-2)\/2. Are i and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 3*u**2. Let x(g) be the first derivative of 50 + 0*g**2 - 1\/3*g**3 + 1\/4*g**4 + 0*g. What is -q(z) - 3*x(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*f + 101*f + 4030. Let r(a) = 56*a - 3. Let p be r(-9). Let v = p + f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27 + (-1744)\/(-64))*0. Which is greater: -6\/22249 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/6)\/8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2. Let t(b) = 9826675*b**2. Give t(i(g)).\nAnswer: 628907200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 151, 466, 1083, 2104?\n\"Answer: 17*n**3 - 2*n**2 + 2*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(1331))**2 - (-2 + sqrt(1331) + -1)) + 0.\nAnswer: -11*sqrt(11) + 33278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*x - 5 = -3*q, -2*x - 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*m - 64*m + 58*m)*(4 - 4 - 2*m) - 6*m**2 + 4*m**2 + 3*m**2.\nAnswer: -87*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.4555 - 0.1555. What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12871470 and 92430?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 - 6*x + 2. Let j = -22 + 17. Let w be d(j). Suppose 3*v = w*v - 16. What is the lowest common multiple of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 1. Let o be j(-4). Let f be (o - 1\/(-2))\/(-2). Suppose 0 = -l + 3*l - 8. What is the nearest to l in f, -0.1, -2\/21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108458798*g**3 - 194377*g**2 - 20*g?\nAnswer: 650752788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/17 - 26*q**4\/17 - 62*q**3\/17 + 202*q**2\/17 + 280*q\/17 - 392\/17 = 0.\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 9, l: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) + sqrt(275) + 2 - sqrt(11) - sqrt(55)\/(3*sqrt(5) - sqrt(5)) - -2*(-3 + sqrt(176) + sqrt(176) + -2 + sqrt(176) - sqrt(176)))**2.\nAnswer: -328*sqrt(11) + 18743\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 30 + 38*u + (5*u - 5*u - 2*u)*(-2 + 0 + 1)*(0 + 0 - 2)*(-21 - 14 + 6) + 4 - 4 + u.\nAnswer: 155*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(24)\/sqrt(432)*-5)**2 + (1 + -4*sqrt(18))**2*-2 + 5.\nAnswer: -1121\/2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 + 0 = 5*l, 4*l + 5*m = -1. Put 3, l, 35, 0, 2 in descending order.\nAnswer: 35, 3, 2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17129932271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 14 = y - 6*y, -3*s + 2*y = -3. Let n(h) = h**2 - 5*h - 6. Let b be n(6). Let r(d) = -3 + b + 6*d + 3 - 1. Give r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - (2\/(-6) - 875\/450) and 7\/4044.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.04 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 1. Let r(m) = 34*m**2 - 2. Let l be 5 + (-11 - (-4)\/4). Let v(w) = l*z(w) - r(w). Differentiate v(j) with respect to j.\nAnswer: -58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9622858 divided by 54061?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 7*k**2.\nAnswer: k**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 35*g + 121. Calculate d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + -28 + (0 + -3 + 10 - 3). Which is the fourth smallest value? (a) 4 (b) 1.9 (c) u (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271a59 (base 15) to base 7\nAnswer: -21653436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 21687.\nAnswer: 21684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -500 and -510 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 - (-3 + 11 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-2))\/(-7))\/(2\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -103, -226, -397, -616, -883?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let o be b(1). Let y(v) = -18*v. Let f be y(o). Is (2 - 0) + -1 + f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + q + 18*q + 18*q**3 + 2*q**2 - 4*q - 7*q to t*q**2 + b + r*q + z*q**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678909, -678911, -678929, -678975, -679061, -679199?\nAnswer: -679401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 12*c - 29*c = -k - 14*c + 31, -4*k = -10*c - 102 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68))*-2.\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131, 127, 113, 83, 31, -49?\n\"Answer: -h**3 + h**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*d + 4 = 0, 3*z + 0 = -5*d + 10. Let h be (-4)\/2 - 46 - z. What are the prime factors of 2\/5 - h\/5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*r - 8 = 6*r, 5*r + 20 = 0. Solve -8*x = 5*h - 5*x + 26, -2*h + 2*x - m = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 2.363 (c) 1\/10 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 380*t**3 - 15*t**2 - 39*t - 20818. Let v(c) = -190*c**3 + 6*c**2 + 20*c + 10411. Let o(s) = -2*j(s) - 5*v(s). Differentiate o(p) with respect to p.\nAnswer: 570*p**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 680 + 246 = 90*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000225 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 574 = 127*c - 160 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5938 + 5224. Do -716 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/7 - (-5 + 7). Let i = -19108 + 19108. Sort 2\/15, 7, i, h in decreasing order.\nAnswer: 7, h, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 2*k - 3. Let n(i) = 380*i**2 + 1064*i - 1596. Calculate 3192*m(h) - 6*n(h).\nAnswer: 4104*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h - 5*x = 20, -x = 4*h + 4. Let a be (-3)\/(6\/2 + -5 + 1). Solve -g - a*g = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(1377)) + 4)**2 + -4 + ((sqrt(1377) + 2 + sqrt(1377))*4 + sqrt(1377) - (2 + sqrt(1377) - sqrt(1377) - sqrt(1377))*-1).\nAnswer: 162*sqrt(17) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-75)*(-30)\/36.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + ((-13 - -9) + 24 + -25 - -15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - 4*v**2 + 7*v - 4. What is m(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1. Put u, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19 - 8 - 29 + 3*o - o**2 + 2*o**2. Let v be q(-6). Suppose v = 2*d - 0*d - 4. Solve -c = d*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, 67.\nAnswer: -4, -2, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 + 4?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1869 and 386521?\nAnswer: 722407749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -17*n**2 + 169*n + 59. Let y be v(10). Solve -3*o + 46*g = y*g - 6, -o - 3 = -4*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:26 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50417*q**4 - q**3 - 2*q**2 - 13*q - 317 wrt q.\nAnswer: -605004*q**2 - 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 154048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*o**4 + 7*o**3 - 30*o**3 + 51*o**4 - 8*o**3 + 23*o**4 + 8*o**3 + 2*o**4 - 3*o**4 - o**4 + (-1 + 1 + 2*o)*(2*o**3 + 0*o + 0*o) - 2 + 2*o**4 + 2.\nAnswer: 26*o**4 - 23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 - 2*i + 1. Let q be d(1). Is 73 + q - (0 - 0\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -5\/3*d**3 + 0*d**4 + 0*d + 1\/30*d**5 + 0 + 2*d**2 + 1\/24*d**6. Differentiate v(n) wrt n.\nAnswer: 15*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2682 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/260 or 0?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 12:17 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9018686 - 104760.\nAnswer: -104760.9018686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786 - 104 + 928 = 23*j. Calculate the remainder when 350 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 81*k = -359, l + 19*k - 35*k - 11 = -9*k - 8*k for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -11 + 60 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 12*o**3 + 15*o**3 - 3 + 8 + 2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 25 + 160 = 3*i, 2*n = -i + 90. Find the third derivative of 7*v**3 + 51*v**2 - 5 + n*v**3 + 1 - 58*v**2 wrt v.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045379 minus -4?\nAnswer: 4.0045379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1318280373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m**3 + 6*m**2 + 6*m - 7. Let h(f) = -17*f**3 - 7*f**2 - 7*f + 8. Give 7*a(r) + 6*h(r).\nAnswer: 17*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by -69?\nAnswer: -97\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 46*z**2 + 47*z - 135. Let q be s(3). Which is bigger: 419 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31569910 by 6.\nAnswer: 15784955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 12*d - 410. Let l be c(0). Let y = -90 - 10. Let h be l\/y - (5 + -1). What is the closest to -1\/2 in -3\/5, 0, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (916894\/(-44) + 4)\/(((-6)\/4)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(3\/63*1). Suppose m + h = 1277. Suppose -m + 227 = -3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:23 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1332 + -0.2332. What is the nearest to -1 in 21, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*l - 8, -5*r + 2*l = -25 - 7. Suppose r*m + 15 = 3*m. Sort m, -1, -6 in decreasing order.\nAnswer: -1, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - n = 9, -7*d - 31 = -11*d - n. Suppose 68 = 16*r + r. Calculate the lowest common multiple of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 231*k - 287*k + 15568. Solve 355 = 11*i + k for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5*q + 12*b**4*q - 1717*b**3*q + 1909*b**2*q + 3*b**2 + 4*b*q + b - 6*q wrt b.\nAnswer: -60*b**2*q + 288*b*q - 10302*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.23 - -9.13. Let h = -54 - t. Let r(c) = c**3 - 7*c**2 + 8*c - 6. Let o be r(6). What is the second smallest value in h, o, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 762682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4605*v - 4612*v + 112 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 52. Let y = -17 + n. Solve -4*z = -4*p - 0*p, 4*p - y = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 732*c**2 - 731*c - 364. Determine o(-365).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9 = q, -3*q - 39*o = -43*o - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*v - 2*p, -p = -1 - 1. Suppose 4*z - 3*z = 4*o - 16, -2*z - v = -o. Suppose -o = -5*k + 2*k. Let g(d) = 2*d**2 + 2*d - 1. Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:50 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1233\/7, -2, -13\/6, -2\/7, -1 in decreasing order.\nAnswer: -2\/7, -1, -2, -13\/6, -1233\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - 1 + 3*n - 186*n**3 + 3*n**2 + 185*n**3 to the form d + p*n**2 + j*n + v*n**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0 + 1\/7*y**7 + 37\/24*y**6 - 100\/3*y**3 + 0*y - 32*y**2 - 15\/2*y**4 - 5\/336*y**8 + 17\/6*y**5. Solve z(r) = 0 for r.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6067 = 759*a - 2703 - 4133 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, 12, 181?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*h - 269057 = -290894 for h.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (2 + -5 - (32 - -3)). Let p(b) = b**2 - 38*b + 37. Let g be p(x). Solve -5*h - 20 = -l - g*l, -3*l = -h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -56*z**3 + 3*z**2 - 3*z. Let r(c) = 167*c**3 - 8*c**2 + 8*c. Suppose -2610 = 330*m - 1416 + 1446. Calculate m*n(l) - 3*r(l).\nAnswer: -53*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 219\/33 - (14 + (-2856)\/231). Let z be (-18)\/(-2) - -2 - -1. Suppose 3*k + 16 = -2*x + 7*k, -4*k + z = 0. Sort -0.06, x, 1\/7, m in descending order.\nAnswer: m, 1\/7, -0.06, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 15 = -5*d, -582*x = 3*d - 581*x - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let t = m + -9. Let w = 9.8 + t. Which is the smallest value? (a) w (b) -4\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492*s**3*t**3 + 2*s**3*t - 3406*s**2*t**4 - 53*s*t - s + 231*t + 23 wrt t.\nAnswer: 2952*s**3*t - 40872*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, 4, 2\/7, -0.09 in descending order.\nAnswer: 4, 2, 2\/5, 2\/7, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j - 30*j + 154*j - 40*j - 34*j - 14*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 5. Suppose 3*q = c*q. Solve q = -2*y - 2*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 63085.1, -2\/17, 4.\nAnswer: -3, -2\/17, 1, 4, 5, 63085.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6361*i**4 - 2*i**3*x**3 - 3988*i*x**3 wrt i?\nAnswer: 76332*i**2 - 12*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 4) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-12))\/((-3)\/12). Suppose 5*c - 5 - 10 = -2*n, 3*n + t*c = 9. Let k be 0\/59*(0 + 1). Solve n*u - u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s - 6. Let r = -618 - -623. Solve 0 = -r*a + s*q + 10 + 3, q = -a + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9117, -18384, -27661, -36954, -46269, -55612, -64989, -74406?\n\"Answer: -v**3 + v**2 - 9263*v + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1094751 divided by -5.\nAnswer: 1094751\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 12\/218734379?\nAnswer: 12\/218734379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7044 and 1274292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6758 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22612*x**2 - 2*x - 73564?\nAnswer: -45224*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 8736.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -57?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.2 minus -5?\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwwwwvwvvwwwwv. What is prob of picking 1 v and 1 w?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 5. Let t = 5 + n. Suppose 3*f - 29 = 2*f. What is the remainder when f is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:04 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 5 (c) 123 (d) -2\/477\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59407 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**2 + 118*r**2 - 138*r**2 - r - 95*r**2.\nAnswer: -149*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/3 + 158746*f\/3 + 317480 = 0?\nAnswer: -158740, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let y(j) = 9*j. What is the remainder when (50 - r) + (-6)\/(-3) is divided by y(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.8764m in millimeters?\nAnswer: 113876.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 - 147. Calculate the remainder when 140 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j**2 + 19*j + 10. Let s(h) = 8*h**2 + 13*h + 7. Let k = 5 + 4. Let b = k - 16. Let o(l) = b*s(l) + 5*d(l). Factor o(n).\nAnswer: (2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -466, -697, -928, -1159?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y. Let w(l) = 7*l + 18. Let s(u) = -8*u - 21. Let b(k) = -6*s(k) - 7*w(k). Determine x(b(r)).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 24*x - 16 - 80 = 0. Let t = 0.14 + -0.04. What is the third smallest value in t, -2, -101, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1\/1 + 0). Suppose -250*n = -244*n + 54. Put k, n, 3 in decreasing order.\nAnswer: 3, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 572142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 8. Suppose -3*t - 5 = 4*h, -4*t = -4*h + m - 22. Sort t, -0.4, 0.3 in increasing order.\nAnswer: -0.4, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76, -89, -102, -115, -128?\n\"Answer: -13*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 841836572*f\/7 - 88586101744588898\/7.\nAnswer: -2*(f - 210459143)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(-5 + (3 + sqrt(1088))**2) + -5*(sqrt(1088)*3 + -1)**2.\nAnswer: -52240 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 363 + 370 + 366 - 1425 - d**2 + 375.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1357\/168 + 51\/7. Let i = z - -9\/8. Which is the second smallest value? (a) -0.5 (b) i (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 6}. Give prob of sequence bi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 31*w + 9. Let s(h) = -2*h - 2. Give d(n) + 3*s(n).\nAnswer: 25*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37*((1 - -7) + -7))\/((-113)\/113).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0)\/(11\/((-99)\/(-18)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 7*d**2 - 6*d + 15. Let g(o) = -o - 1. Let v(s) = 3*g(s) + w(s). Let b = 6 + -1. Is v(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3080 and 8120.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + 1)*6 - -3*(sqrt(1900) + 1))*6)**2.\nAnswer: 58320*sqrt(19) + 5543316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.0383292\nAnswer: 0.2683044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -55485*t**2 + 943248*t - 32. Determine i(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.48328 and -10.\nAnswer: -30.48328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {o: 6, e: 2, j: 1, k: 1, l: 3, t: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 302 = o, 15*o - 56 = -r + 13*o. What is the greatest common factor of 1380 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255\/16 + -83\/16. What is the common denominator of (-4)\/72*(-47 - -4)*1 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtd when four letters picked without replacement from etbededvvvvvdv?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1416 divided by 1\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4 - 2 + 0*x**2 - x**2 - 6*x**2 - x**3 - 7*x. Let p(j) = -j - 1. Let n be p(5). What are the prime factors of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*y = 3, 41*l - 4*y = 39*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/8 (b) 5 (c) 2\/9 (d) -0.5 (e) -0.041425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -19\/2. Let q = 1 + -1. Are q and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in -0.2, -1538, 5, 1\/12, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9809*t + 5269 = 9933*t - 6308 + 3269 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u - 8. Let d be (-7)\/(3 + -4) + -1. Let t(z) = -9*z - 8. Let h(w) = d*p(w) - 5*t(w). What is the tens digit of h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05638741 and -59869618.\nAnswer: -59869617.94361259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(80)*-4*-1.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -28. Let r = f - 18. What is the second smallest value in -1\/3, r, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -18\/11 (b) 58 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -d + 254. Suppose -5*v + d - 109 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, q: 1, k: 3, y: 3, e: 2, b: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(288) - sqrt(288)*-3)*-6.\nAnswer: -288*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -41*n + 249. Let v be g(6). Solve 0*o + 5 = o, -21 = 2*c - v*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485 + 144 + 164)*((-4*t + 0*t + 5*t)*(-6 - 6 + 1) + 0 + 0 - 2*t).\nAnswer: 2301*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.4, -3, -24, 1, -0.3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdi when three letters picked without replacement from {d: 1, w: 1, v: 1, k: 2, i: 4, e: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c + 3 = 0. Which is bigger: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9975\/35)\/(-19)*4\/(-156).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-36)*4\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/9 - -128\/9. Calculate the common denominator of -59\/10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 491.7.\nAnswer: 492.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(-2 - -1). Let x(o) = 7*o**2 - 2*o + 2. What is the remainder when 11 is divided by x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92871769*d**2\/3 - 38548*d\/3 + 4\/3.\nAnswer: (9637*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e27 (base 15) in base 16?\nAnswer: 412f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 9. Suppose 15 = p*o - 10. Solve -1 = i - 4*r, 2*i - 3*i - 1 = -o*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 128 (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/185977 and 41\/110.\nAnswer: 1859770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 4672960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 3. Determine o(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549945541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3465)\/(-84) + (-2)\/8 + 0. Suppose -2*l = -5*t + 199, 3*l + r = t + 2*l. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6738584 to the nearest integer?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24.9? (a) -1\/3 (b) -3 (c) 5 (d) 22 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -743*x**3 - x**2 + 2*x - 1. Let o be a(1). Let c = o + 1323. Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867268245 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**0\/a*a)\/a)**(-43)\/(a**(-1\/3))**(-5\/7))**(-1) assuming a is positive.\nAnswer: a**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 85 + 9*u**3 + 9.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 29146689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -46. Let q = 21 - a. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*k - 10140 = -158*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54512 + 78829. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -139970.6 to the nearest one hundred.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-6)\/5*-5)*0. Let t = 3 - 1. Let n(s) = s - 1. Let y be n(t). Solve p = 3*u - y - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761585?\nAnswer: 5, 11, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*p - 78*p - p**2 - 2 - 2*p**4 + 148*p as n*p**4 + l*p + o + v*p**3 + x*p**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 14*p - 5. Let y(j) = -j**3 + 4*j**2 + 6*j - 3. Let v be y(5). Let b(f) = 57*f - 19. Let k(c) = v*b(c) - 9*q(c). Is k(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 4*y**4 + 0*y**4)*(4 - 1 - 1) + 3*y**4 - 10*y**3 + 10*y**3 + 1 + 6*y**2.\nAnswer: -y**4 + 6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1209757091 and 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -3286875.31?\nAnswer: 3286875.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 819*w - 6544. Let d be b(8). Let o(u) = -u**3 + 6*u**2 - 6*u - 5. Let n(s) = 2*s**3 - 13*s**2 + 12*s + 11. Let j(p) = 3*n(p) + 5*o(p). Give j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 8*p - 6147. Let f be (2*145)\/(1\/(-4)). Let c = f + p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8 + 2*d - d - 2*d - 7. Let w(i) = -i**2 + 25*i - 24. Let l be w(24). Give f(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 6 (c) -0.4 (d) -1\/854 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 1. Let r(v) = 22*v + 6. Let i(p) = 5*p + 56. Let k be i(-10). Let g(d) = k*h(d) - r(d). Let m(c) = 9*c + 7 - 7. Give g(m(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57061542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 = -3*z - 12*i, -197*z + 17*i - 22*i - 306 - 370 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 676, 655, 644, 649, 676, 731, 820, 949?\n\"Answer: y**3 - y**2 - 25*y + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297675528 to the nearest integer?\nAnswer: 36023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offffjfofooojfootf. What is prob of picking 1 j and 1 o?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12864*h**6 - 2*h**5 + 2*h**4 + 2*h**2 - 2*h + 15244?\nAnswer: 1543680*h**3 - 120*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42610 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 + 5*w**2 - 3*w + 13. Let h(v) = -v**3 - v**2 + v - 1. Let f(g) = 4*h(g) + r(g). Let j be f(0). Let y = 11 - j. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.8 + 48. Let d = 5.8 + i. What is the biggest value in 0.4, d, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/4 + 3*p**3 + 27*p**2\/4 + 7*p\/2 = 0. Calculate p.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1130*d - 31526. Calculate w(28).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -53*z**6\/120 + 11*z**3\/6 - 23*z**2\/2 - 38. Let m(y) be the second derivative of n(y). Differentiate m(l) with respect to l.\nAnswer: -159*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 3. Let n(w) = 11*w + 1. Let t(y) = -27*y - 3. Let z(k) = 12*n(k) + 5*t(k). Let a(l) = 6*h(l) + 7*z(l). Calculate a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:54 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {i: 1, b: 1, f: 2, w: 2, q: 1, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-2 + 3*sqrt(539) + sqrt(539)).\nAnswer: -140*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*p - 211*p + 10. Let t = -7 + 12. What is the highest common factor of t and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203721617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 3*x. Let v(z) = 5*z + 28. Let m be v(-6). Let o(i) = 17*i**2 - 13*i + 1. Determine m*o(c) - 9*u(c).\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 2. Let h be w(-2). Let p(m) = 10*m. Let b(t) = -t. Let l(r) = h*p(r) - 44*b(r). What is the units digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/334, -3, -0.1, 0.4, 2\/103 in descending order.\nAnswer: 0.4, 55\/334, 2\/103, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1010*y**5 + y**4 - 190124*y**3 + 579825936*y**2 wrt y?\nAnswer: 60600*y**2 + 24*y - 1140744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (-6)\/(-7) + 7766\/16632 and -143\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276982?\nAnswer: 2, 19, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9824.747um?\nAnswer: 9.824747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35173\/24 not equal to 1466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {q: 2, l: 4, c: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*w*z + 86719*c**2*w + c*w*z - 70229*w*z with respect to z.\nAnswer: 2*c**2*w + c*w - 70229*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84.06 + -83.1713. Round y to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let o be y(-4). Suppose 0 = -2*d + 10, d = o*k - d + 14. What is the units digit of 3\/(k + (0 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 928, 1391?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 4. Let z = -15 + 19. Let y be z\/(-22) - (-4)\/22. Put l, -4, y in ascending order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*k = k - 43, -28 = 4*m + 4*k. What is the remainder when (m\/(-7))\/(4\/42) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.848 or 3?\nAnswer: 19.848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 2*d - 4*d)*(-2 - 3 + 4)*(0*d**2 - 2*d**3 + 0*d**2) - 26 + 26 - 9*d**4 in the form j + h*d**2 + s*d**4 + a*d + m*d**3 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1187*-138.51\nAnswer: 164411.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5695981 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**6\/240 - r**5\/6 + 43*r**4\/48 - 11*r**3\/6 + 187*r**2. Factor g(s).\nAnswer: -(s - 1)**2*(s + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4 - 2)) + 2 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-249)\/332 + 21\/(-4) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 10. Let i be -3*(q\/(-3))\/(-5). Which is the nearest to 0? (a) i (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111001012 + -11?\nAnswer: -2111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 8 - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -2054982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183594 and 6548186?\nAnswer: 19644558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 2b6181?\nAnswer: -2b6171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449592749 to the nearest integer?\nAnswer: 21204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 41 + 19. Calculate the remainder when 45 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -7.98.\nAnswer: 15.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-1)\/(14\/38). Which is the third smallest value? (a) t (b) 0.1 (c) -5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1332*r + 220. Let j(c) = c - 44. Let d(q) = -5*j(q) - p(q). Let o(t) = -4*t. Determine d(o(i)).\nAnswer: -5308*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139320)\/(-3225)*(-5)\/(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 - 4*c**3)*(21*c**2 + 2*c**2 + 9*c**2) + (-34*c**2 + 34*c**2 + 18*c**3)*(1 - 1 - 2*c**2).\nAnswer: -164*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 10*m = 0. Let x be 3 - m\/(-2 + 3). Find the second derivative of -5*w**4 - 13*w**3 - 5*w + 22*w**3 - 9*w**x wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53512098 to the nearest integer?\nAnswer: 7315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222077329 - o - 222077329.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10023333.\nAnswer: 3, 59, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (sqrt(68) - 1*sqrt(68)) + -2)*-3)**2.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and -6 + 3 + 1 + -2 - 494\/(-19).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 - 93*t + 2*t + 11*t**3 + 5*t**3 - 10*t.\nAnswer: 4*t**3 - 101*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 8. Let k = 9 + p. Solve 0 = -t - 2*j - 8, 2 = -4*t + k*j - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 20*w - 7. Let s(l) = 16*l**2 - 182*l + 69. Let g(y) = 19*c(y) + 2*s(y). Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {j: 14, r: 2, t: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35\/8 + -15\/8. Let d = -0.7 - 0.3. Let t = -0.6 + 0.1. Put d, t, j in increasing order.\nAnswer: d, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 4. Let h(l) be the second derivative of l**5\/4 - l**4\/3 - 2*l**3\/3 - 2*l**2 - 493*l. Let o(f) = -6*f**3 + 5*f**2 + 5*f + 5. Give k*h(s) - 4*o(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5671177 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + 6 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let v(a) = 10*a + 1. Let n be -3 + (-284)\/4 + 2. Let t = n + 27. Let u = -23 - t. Determine u*r(x) - 2*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*c*c**12)))*(c*c**9*c)\/c*c**4*c**(-4\/5))**(-1\/64) assuming c is positive.\nAnswer: c**(-1\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -138*z**2 - 2*z - 1. Let v(s) = 2*s**2 + s + 1. What is -l(b) - 3*v(b)?\nAnswer: 132*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 13*w + 9. Calculate o(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1468019 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 41514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + z - 12. Suppose -z*c - 77 = -5*a, 4*a + c - 58 = 1. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-7)\/(35\/2)). Suppose 6 + 22 = 4*l. Is n less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/18 + (-2)\/(-12). Solve 2*c + 0*c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 1 = -19. Find the second derivative of 5*o**2 - u*o - 7*o - 7*o**3 - 5*o**2 wrt o.\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -375*j - 1379. What are the prime factors of k(-7)?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 3. Let t(c) be the second derivative of c**4\/6 + c**3\/6 - 5*c**2 - 54*c. Let h(p) = -7*n(p) + 2*t(p). Determine h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-4)\/b)**(-3\/16) assuming b is positive.\nAnswer: b**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(36))\/sqrt(6)*-2 + -3 + (sqrt(48)\/(sqrt(8)*2))\/sqrt(2).\nAnswer: -3 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/60*o**5 + 0 - 11\/24*o**4 - o**3 - 64*o**2 + 0*o. Calculate t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 + 6*g - 10. Determine s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158340147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(3*sqrt(640)) + (-2*sqrt(396) - -5*(sqrt(11) + sqrt(22)\/sqrt(2))))**2.\nAnswer: 24299\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -1 - (0 - 0). What is the units digit of 13 + -2 + 3\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213834788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6084.9462 + -6089. What is l rounded to 2 dps?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 8*d + 79. Suppose 20*l = -42 - 18. Sort l, 0, d, 2 in decreasing order.\nAnswer: 2, 0, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47177946 to the power of 1\/2, to the nearest integer?\nAnswer: 6869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1643.0929 - 1643. Let y = -0.0603 + c. What is y rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2. Let s(a) = -7*a**3 + 4*a**2 + a - 1. Let k(l) = -6*h(l) + s(l). List the prime factors of k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19369595?\nAnswer: 5, 7, 553417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v - 4 - 4*v - 5*v. Suppose 0 = -4*o + 4*k + 4, -2*k = 5*o - k + 19. List the prime factors of n(o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*l - 67*l + 111465. Let b = -5895 - l. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*n + 90 - 5134*n - 90.\nAnswer: -4445*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1492*q**3 + 6*q**2 + 5*q - 8. Let f(w) = 1493*w**3 - 5*w**2 - 4*w + 6. Calculate -5*f(y) - 4*u(y).\nAnswer: -1497*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**6\/360 + i**4\/12 + 2*i**3\/3 - 2. Let b(s) be the third derivative of z(s). What is the first derivative of b(l) wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = 3*t, -h + 20 = -69*t + 66*t. Calculate the lowest common multiple of 861 and h.\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -138 - (118 - 149) - -96?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -41*m + 20*m. Differentiate -3*d**4 - 4*d**2 - 55 + d**m - 9*d**4 + 6*d**2 - 11*d**4 wrt d.\nAnswer: -92*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770.68 - -769.56506. What is j rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*a - 32*a + 13*a - 12*a as k*a + u and give k.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a = 330*a - 1506495925. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3506\/25 + 117604\/225. Let s = 382 - f. Sort s, 1, 0.3, -4.\nAnswer: -4, s, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.6624 and -0.35.\nAnswer: -3.73184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - -44442?\nAnswer: 44357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77531445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(55)\/sqrt(176)))\/(3*(sqrt(75) + -1*sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75)) - sqrt(75) - sqrt(75)).\nAnswer: 2*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -13) + (3 - 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/44)\/((-14)\/12). Sort q, 1, -0.1, -0.06 in increasing order.\nAnswer: -0.1, -0.06, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1734950*n*z**3 + 167*n*z**2 + 1827*n*z wrt z.\nAnswer: 10409700*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2\/35*a**5 - 44 + 4\/21*a**3 - 1\/21*a**6 + 1\/7*a**4 - 2\/7*a - 1\/7*a**2. Factor u(v).\nAnswer: -2*(v - 1)**2*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9\/4)*k*k*k)\/k)\/((k\/k**22*k)\/k) assuming k is positive.\nAnswer: k**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((10 - -4) + -29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 10*l**2 - 5\/4*l**4 - 1\/4*l**5 + 10*l + 18 + 0*l**3. Let y(n) be the first derivative of d(n). Factor y(r).\nAnswer: -5*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3. Let x(s) = -2*s**2 + 7 - 3 + 0*s**2 + s**2. Give -4*p(o) - 3*x(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -27*p + 8*p + 4*p + 38*p - 21*p + 10. Suppose -g + 3*w = -4*g + 3, -4*g = 2*w - 2. Calculate o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 28733.\nAnswer: -143665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -5.3. Let o = -4.994 + w. Round o to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6708 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 341 = -381*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 + 6*f**2 + 5*f - 2. Let t(l) = 3*l**3 - 5*l**2 - 4*l + 1. Calculate 3*p(g) + 4*t(g).\nAnswer: 3*g**3 - 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*b + 4*c, -5*b - 39 = c - 82 + 45 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 - 2*x + 1. Let m be w(-2). Solve 0 = p + m - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Suppose -2*l - o + x = -8, -4*o = -12. Put l, 4, 5 in ascending order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -y - 0 + 15, 2 = 2*j - 2*y. Which is the nearest to 6? (a) j (b) 1\/5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 26*p + 60. What is the hundreds digit of ((-15)\/25 - p)*235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/4 - 645*z**4\/4 - 43631*z**3\/2 - 185655*z**2 - 285334*z = 0.\nAnswer: -458, -178, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(0 + sqrt(147)) + -1*sqrt(147) + -1)**2.\nAnswer: -42*sqrt(3) + 1319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200835\/11 + 18258. Let i = 0 + 1. Let h = -0.1 - 0. Which is the second smallest value? (a) i (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 2228, 5593, 10444, 16775, 24580?\nAnswer: 33853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*m**2 - m + 9\/2.\nAnswer: -(m - 3)*(m + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o + 13. Let q(c) = 3*c + 14. What is 4*q(m) - 3*u(m)?\nAnswer: 3*m + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 401396 = -118684. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1185 - 1132. Suppose 5*v = 4*v + 689. What is the highest common divisor of v and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -s, -3*g + 6*s = 9*s - 6. Solve -30 = 4*x - 4*c + g*c, 0 = -4*x - 2*c - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - 1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = -17*u + 12*u, 0 = u - 3*k - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 12615*l**2 + 42060099*l + 42047481 = 0. What is l?\nAnswer: -2191, -1, 6397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 7*l**2 - l - 2. Give s(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmpyo. Give prob of sequence ovpv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 19 - 33)*(0*u - 2*u + u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3)*1*1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 5*f + 1. What is the units digit of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 7 + 1 + 2*l. Let m be n(-6). Suppose 0 = -3*y + m*q + q + 99, -3*q + 6 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/16 - (-9)\/12. Let u(q) = q - 3. Let h = 9 + -6. Let c be u(h). Solve a*m + 4 = -c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(4\/7))**(-2\/11)*((y**(-2\/5)\/y*y)**42)**(22\/3) assuming y is positive.\nAnswer: y**(-47392\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 19524.96?\nAnswer: -19524.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i + 4. Let r be z(5). Let t = r + -15. What is the greatest common divisor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 46*b**2 - 529*b + 2. Let y be k(23). Let t(c) = 8*c**2 + 6*c - 14. Calculate t(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289635 is divided by 2001?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 0, 0.01, -320081, -9?\nAnswer: -320081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*((sqrt(1100) - sqrt(1100)*1) + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let t = 37 - 11. Let s(h) = -20*h**2 - 19*h**2 + t*h**2. Calculate s(w(k)).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 4) to base 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*g. Let k(q) = -5 + g*q - 10 + 3*q - 2*q. What is the least common multiple of k(8) and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/243420 and -33\/14767480?\nAnswer: 44302440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23709 and 6594489?\nAnswer: 3387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 9*j + 2. Let u be q(-4). Suppose 5*x + 5 = -n + u, 4*x - 12 = 2*n. Let d = 2 + n. Sort d, -4, -46 in descending order.\nAnswer: d, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*u - 2, -5*u + r - 66 + 94 = 0. Solve -p - u*m = -13, 0*p = 3*p + 2*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.383?\nAnswer: 0.1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450126.781 rounded to the nearest 10?\nAnswer: 1450130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 - 5*f + 10. Let m(n) = 11*n**2 + 11*n - 22. Let p(h) = 4*m(h) + 9*z(h). Let l be p(0). Solve l*o - 6 = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**4 - 1592*m**2 - 2*m - 45746?\nAnswer: -20*m**3 - 3184*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:03 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (344\/(-258))\/((-50)\/3) - (-63504)\/1200?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = 2*u, 3*u = 9 - 0. Suppose 0 = -0*h + i*h - 4. What is the closest to -2\/3 in 0.5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 3*v + 4*v - 50*v.\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24016)\/(-70))\/19 - 18)\/(176\/(-40)).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, -14 in decreasing order.\nAnswer: 7, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 443416288*j + 1345506687 wrt j?\nAnswer: 443416288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 + 149289*h**2\/2 + 8064577*h\/2 - 8213865\/2 = 0. Calculate h.\nAnswer: -55, 1, 149343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 57, 27, -15, -69?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let s(b) = 10803*b - 3. Let r be s(5). Suppose 3*o = -3*x + r, -5*o + 3*x + 35988 = -p*o. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 301\/21)*360\/(-96). Solve 47*d + u*d - 784 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4011*v = -4016*v + 62, 2*n = -v + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 9, f: 3, q: 3, i: 1}. What is prob of sequence eiwf?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2566, 3940, 5300, 6640, 7954, 9236, 10480, 11680?\n\"Answer: -w**3 - w**2 + 1384*w + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**2 + 2*h**2 + 4 - h**2 + 5*h. Let o be x(-4). Suppose o = -3*b + 3*n - 6*n + 12, 4*n = 16. Solve -5*w + 0 + 15 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/9, 5, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 5, j: 1, d: 5, b: 2, e: 6}. Give prob of sequence cebb.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/165 and 37\/1137.\nAnswer: 62535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.937. Let i = p - 9.937. Sort 0, 1\/5, i in decreasing order.\nAnswer: 1\/5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-45)\/(-13)) + 26\/(-65).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -18*s + 2*s**2 + 4*s + 0*s**2 - 19. Let o be v(4). Solve -o*u = -5*m + 6 + 5, -3 = -3*m + 3*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - sqrt(170)*1*-2 - sqrt(170) - sqrt(170)) + -4*sqrt(170)*-6)\/((sqrt(250) + 3*sqrt(250)*-2 - sqrt(250)) + 3*sqrt(250)*-1 + sqrt(250)))**2.\nAnswer: 425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1213855 and 131865.\nAnswer: -1081990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from fnsdddsdfttf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = i - 25, -5*t + i - 2*i = -109. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-152))\/((-22)\/(-209)) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-552)\/(-20) + (-4)\/(-10). Let q be (-12)\/42 - (-22)\/h. Determine p so that 0*p**2 - 3\/2*p**3 + 0 + 2*p - q*p**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 9*x**2 - x - 1. Let h(k) = k**3 - 2*k**2 - 7*k - 5. Let t be h(-2). List the prime factors of r(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253294, 506588, 759882, 1013176, 1266470, 1519764?\nAnswer: 1773058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 10277.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjlxyl. Give prob of picking 1 y and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4698320 - -16890451.\nAnswer: 21588771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*a**3 - 6*a**2 - 2*a**2 + 7*a**2 + a**2 + 262*a**3.\nAnswer: 95*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(2\/10). Suppose n*j + 3*j - 50 = 0. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f2d + 0?\nAnswer: f2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2 - 87*u + 17. Let n be t(-7). Let q = n - 230. Suppose 2*i - 4 = 6. Calculate the smallest common multiple of q and i.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 10*d**2 + 38*d + 25. Let g be x(13). Suppose 0 = 7*y + g*y. Suppose -5*i = -0*i - 20. Solve -i*a + 12 = -y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*l + 124. What is the remainder when 164 is divided by l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1235 + -1207. Let l(d) = -d**2 - 14*d + 8. Let i be l(-6). Calculate the greatest common divisor of w and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjaaajfjaa. Give prob of sequence afa.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d\/(d\/d**(3\/7)))\/d))\/d)\/(d*d\/((d**(2\/31)*d)\/d)*d*d*d))\/(((d\/(d\/(d**(-35)*d)))\/d)\/(d*d\/(d\/(d*d*d*d\/d**(1\/2))))) assuming d is positive.\nAnswer: d**(14815\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/462980 and -29\/4.\nAnswer: 462980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfkk when four letters picked without replacement from {k: 9, f: 11}.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-3 + 1 + 0)*(-4*f**4 + 3*f**4 + 0*f**4).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*m + 242 + 794, -m = 2*d - 532. Let i be m\/(-14) + (-56)\/98. Let t = 24 - i. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25 + 21)*(-6)\/(-264). Which is the second biggest value? (a) -4\/5 (b) 0 (c) y (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77808 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 - 20*q**2 + 24*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -15, -29.3.\nAnswer: -29.3, -15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19456 - 40.\nAnswer: -19496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5156 and 8664.\nAnswer: 11167896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7*1*-38*(-1615)\/12635\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 9. Let r be g(-6). Let p be (-1)\/r*-1 + 28\/12. Let k be ((-2)\/4)\/((-2)\/20). Solve u - 3 = c, -p*u = -k*u + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d)\/d*d**(5\/2)\/d*(d\/(d**(1\/7)*d))\/(d*d\/(d*d**(3\/5)))*(d*d*d*d**(2\/7))\/d**(1\/3)*(d**(1\/4)*d)**(2\/13) assuming d is positive.\nAnswer: d**(-3956\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {o: 1, e: 5, i: 1, g: 2, a: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 2509*q + 326492 = 0. What is q?\nAnswer: -2633, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + p - 17. Give n(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cee when three letters picked without replacement from {e: 4, b: 1, c: 3, s: 4, o: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 14) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 - 5 + 3 + 5)*(-3 + 3 + 4).\nAnswer: -24*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.437 plus -118?\nAnswer: -338.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106052 and 0.28.\nAnswer: 29694.56","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Total of -48728 and -0.84.\nAnswer: -48728.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 346776248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*q + 22, 11 = 2*y - 4*y + 5*q. Let b = -4 + 28. Solve y*o = -4*u + 6, 5*u + 6 = o + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 341 - h**2 - h - 677 + 335. Let b(i) = 5*i + 13. Let n be b(-3). Determine k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:46 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -281 (b) -1\/2 (c) -0.4 (d) 2 (e) 1 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 4*y. Let a(g) = 17*g**3 - g**2 + g. Let l be a(y). Let i(m) = 4*m**2 + 3*m. Let c be i(-5). Calculate the highest common divisor of c and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose -3 = -h*q + 5. Let p be q\/(-3)*3\/(-2). Solve 0 = -p*j + j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*l + 19270, -2*j = -58*l + 62*l - 15418. What are the prime factors of l?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -4*r - 5*v, -4*r + 0*v + 404 = 3*v. Suppose 0 = -3*m + 2*m + r. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 12*f - 7*f. Suppose f = -5*m + 46. Suppose m*o + 293 = 4*r + 3*o, r - 4*o - 76 = 0. Calculate the remainder when r is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803240.\nAnswer: 2, 5, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 4. Let l(n) = -144*n**2 + 142*n**2 - 6 + 1. Determine -3*l(u) + 4*y(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -39*s**2 + 2956*s + 53. Calculate p(76).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27041.5 bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let a be (2\/(-3))\/(2\/3). Let j = -1.8 - 1.2. Put j, a, z in decreasing order.\nAnswer: z, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523892 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22790 - 22799. Let g = 12.5 + -12. What is the nearest to 2\/3 in 5, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 102*g**2 - 528*g + 810. Let l(u) = -2*u**3 - 51*u**2 + 264*u - 402. Let o(n) = -9*l(n) - 5*x(n). Factor o(r).\nAnswer: 3*(r - 9)*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f - 8. Let b be (-1 - 10\/(-6))*12. Let g be j(b). Sort 0.4, g, 0.3 in ascending order.\nAnswer: g, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*k - 47, 10*k = 4*t + 11*k - 40. Solve -2*c - 5*z = -t, -4*c = -0*c - 3*z - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -6. Find the common denominator of 27\/16 and (-5)\/l*603\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 24. Let k be c(9). Let w(b) = 13*b + 21. Let l(q) = -12*q - 20. Let m(g) = k*l(g) - 2*w(g). What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2094\/11, -2, 0.2, 1.\nAnswer: -2, 0.2, 1, 2094\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 145 = -32*n. Which is the nearest to 0.3? (a) -0.2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3429152*-3.\nAnswer: 1.0287456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 782 - 2*m**2 + 15*m + 8*m**2 + 367.\nAnswer: 4*m**2 + 15*m + 1149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let s(b) = -9342*b. Give m(s(g)).\nAnswer: -174545928*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-41 + 1) - ((-3 - 12) + (-1 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:19 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3943\/(-6) - (-4)\/24. Let b = o + 1243\/2. Calculate the common denominator of b and (28\/(-70))\/((-55)\/650).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420206 (base 9) in base 7?\nAnswer: 2056236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*c + 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111111000111011000 (base 2) to base 15\nAnswer: -518ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 27.99999. Round m to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2695 - -4103. Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - 7*t**3 + 1 + 46*t - 46*t in the form g*t**3 + j*t**2 + a + c*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 2611335060.\nAnswer: -2611335068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3))**22\/((z*z**(2\/3))\/z**2)*(z\/(z*z**(-1)))\/(z\/z**(2\/15))*(z\/(z*z\/z**(5\/3))*z*z)\/(z*(z\/(z**(-5)*z))\/z*z) assuming z is positive.\nAnswer: z**(397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 78*k**2 + 524*k - 720 = 0 for k.\nAnswer: -45, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280705.\nAnswer: 5, 31, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 + 1845*g**3 - 30180*g**2 + 91520*g = 0.\nAnswer: 0, 4, 13, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -36. Let a = 30 - h. Let y be 0\/(-7)*a\/(-2)*1. Round y to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1414*k - 2 + 644*k - 3696*k)*(3 - 2 + 0) + 0 + 2*k + 0 + (-2*k + 2*k + 2*k)*(0 + 0 + 2) to the form m*k + y and give m.\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 736.0588 millilitres?\nAnswer: 0.7360588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - i - 4)*(-2 + 2*i + 2)*(2 - 1 - 4)*(3 - 3 + i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -195 (c) -1\/4 (d) 0.3 (e) -279 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261498 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5.8. Let j = 4.1 - 10. Let v = -6 - j. Which is the second smallest value? (a) g (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 8. Let f be h(0). Let j = 22 - f. Suppose -22*i - j = -27*i. Calculate the greatest common factor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2 + 5\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191461399 rounded to 4 decimal places?\nAnswer: 0.1915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n**2 + 6*n - 5. Let f(d) = -9*d**2 + 4*d - 3. Let v(t) = -8*f(t) + 5*u(t). What is v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 58 + 110 = 0. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170\/3 or 56?\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, m: 7, r: 2, w: 4}. Give prob of picking 2 w and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -303093000 rounded to the nearest 1000000?\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1*sqrt(245) + 0 + sqrt(245) + 3*(sqrt(605) + 0))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -18, 0.\nAnswer: -18, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9*d - 4 - 1 + 0*d + 2*d - 5*d + (2*d + d - d)*(2 - 2 - 6) to the form c + q*d and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 4*q. What is c(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 442, 336, 160, -86, -402, -788?\n\"Answer: -35*b**2 - b + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2718 and 990?\nAnswer: 149490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + -21 - 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8994 - -8999. Let p(d) be the third derivative of 0*d**3 + 0*d + 1\/30*d**6 - 1\/15*d**4 + 1\/25*d**q - 26*d**2 + 0. Factor p(r).\nAnswer: 4*r*(r + 1)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2937*h**2 + 2931*h**2 - 5857*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24651.9 + 24651.9000142537. Round n to seven dps.\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -13*u. Let v(o) = -3*o. Let x(m) = 4*s(m) - 18*v(m). Let z be x(-1). Sort 1, 0.1, z in descending order.\nAnswer: 1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20*f\/f**(-14) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 189 + 303. Let m be (-2)\/(-7) - z\/14. Suppose 12*u - 9*u = m. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 2*q - 3*q**3 - 174*q**2 + 174*q**2 in the form a*q**4 + d*q**2 + z + g*q**3 + p*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 9) to base 2\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292977 + 12598 = -359*h. What is the remainder when 2415 is divided by h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 3*s + 3. Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1703, -1742, -1807, -1898, -2015, -2158?\nAnswer: -2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2116, 7825, 13534?\nAnswer: 19243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c**2 - 2*c - 4. Let t(w) = 21*w**2 + 5*w + 8. Let n(s) = 5*h(s) + 2*t(s). Find the first derivative of n(q) wrt q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 7*m + 1 - 6*m)*((-6 + 3 + 1)*(-2*m + 2*m - 2*m) + m + 2*m - 5*m) as a*m**2 + i*m + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2216, 2073, 1930?\n\"Answer: -143*y + 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(-3) - (-9 + -12164)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 775 = -4*s. Let x = s + -108. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1432 + 458. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 605*r + 362. Let u be z(6). Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*f = 380*f + 3*b - 3, 5*f = -4*b + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgjjwwgrjggwrqggrw. Give prob of picking 2 q.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233346 rounded to the nearest ten thousand?\nAnswer: 6230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/650 and -86\/6744825?\nAnswer: 175365450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 9 = 8*q + 5*c, 0 = -5*c - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 12 - -12)*(16 + -9)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 0 + 6*n + 2 - 3. Let k(f) = -7*f + 1. Let u be -7 + 0 + 2 + 0. Calculate u*j(b) - 4*k(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/419568 and 17\/314676.\nAnswer: 1258704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14148 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/5 + 23048*w\/5 - 4498944\/5 = 0. What is w?\nAnswer: -11716, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232 + -244. What is the second biggest value in o, 5, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 78. Let f = k + 58. Suppose 29 = 4*o - 11. What is the least common multiple of f and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + -201. Suppose -p*n - 3557373 = 86827. What is n rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let m(l) be the second derivative of l**4\/4 - 2*l**3\/3 - 8*l. Let k(r) = -2*r**2 + 3*r. Let q(o) = 4*k(o) + 3*m(o). Calculate q(z(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155832 by -4.\nAnswer: -38958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q + 4*q - 19*q - 20*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/13542 and 23\/366.\nAnswer: 13542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-349 - -346) + (-24 - -3 - 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**5 + 2*v**2 + 4*v**5 - 6*v**2 - 5*v**2 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-676)\/(-2197))\/(1 - (-11)\/(-13)). Suppose 3\/8*d - 1\/4 - 1\/8*d**y = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 27. Let m(q) = -q - 15 + 34 - 19. Calculate m(r(i)).\nAnswer: 2*i + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = b - 3, 5 = -4*l + 3*b. Suppose 0 = -j - 0*j + l. What is the smallest common multiple of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1678.344948s to weeks.\nAnswer: 0.00277504125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/933? (a) 70 (b) 8 (c) -175 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2\/7, 7.022?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2761835, -5523661, -8285461, -11047223, -13808935, -16570585, -19332161, -22093651?\nAnswer: -24855043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 11*n - 27. Let t be (-320)\/(-18) - -2 - (-4)\/18. Suppose -28 = -24*o + t*o. Is s(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u**3 - 12*u**2 + 7*u - 60. Let y(o) = 2*o**2 - o - 1. Let i(c) = -x(c) - 6*y(c). Find the second derivative of i(n) wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -954.25031 * 0.04.\nAnswer: -38.1700124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 3*s + 2*s. Let n(o) be the second derivative of 2*o + 0 + 1\/3*o**3 + 0*o**2. What is n(x(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = x - 1444, x - j - 1956 = -508. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -821. Let f(a) = -365. Let k(o) = 9*f(o) - 4*q(o). Let b(i) = 2*i - i + 7 - 2*i. What is -b(h) - 6*k(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 790.38 to zero decimal places.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33442420, -66884842, -100327264?\nAnswer: -133769686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p = 69*p + 1364. Let z = 398 - p. Calculate the remainder when 340 is divided by z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/(-2) + (19 - 15). Let n be 408\/56 - 2\/7. Suppose n = r*t - 113. What is the smallest common multiple of 6 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from omrkprfp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 8*v**2 + 5. Let u be a(8). Let j(b) = 71*b**2 - 11*b + 57. Is j(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/983 and 29\/126364650?\nAnswer: 126364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34575 = -173*g - 44*g - 244*g for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313504 is divided by 979.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1020316, 1020314, 1020312, 1020310, 1020308?\nAnswer: 1020306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 23276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -402, 6188, 17168, 32538, 52298?\n\"Answer: 2195*w**2 + 5*w - 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91288620 to the nearest integer?\nAnswer: 9555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 62*w + 5887. Is 121 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5*(0 + 6\/75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*d**4 - 5*d**3 + 1117*d**2 wrt d?\nAnswer: -3000*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61101498.71 and -0.5.\nAnswer: -61101499.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112163 is divided by 1014?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145768 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five quarters of a millennium?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452741 is divided by 1623.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3545364 and 34\/886341.\nAnswer: 3545364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -16 + (-14 - (-10 - 1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + h - 3*h + 14 = 0, 8 = 2*h. Suppose d + u*d = 16. Sort -1, 2, d in increasing order.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233313010 (base 4) to base 16.\nAnswer: 2fdc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 37*x. Let h(m) = -m**2 - 13*m. Let y(q) = 17*h(q) + 6*w(q). Suppose 2*d = d + 1. Calculate y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/4*(-11 + 15). Let w = 2 + -3. Let c = w - -1. Solve l*k - 13 - 7 = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*z - 2*z = -14, -4*k + 20 = 3*z. Let a(o) = 3*o**2 - k*o**2 + o**2 + 1 + 0*o**2 + 3*o. Give a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 655 and -13.5343.\nAnswer: 641.4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1\/2, 0.3, -643\/2 in ascending order.\nAnswer: -643\/2, -1, -1\/2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {d: 1, q: 1, w: 2, t: 1, r: 2, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9202, 9206, 9212, 9220, 9230, 9242, 9256?\n\"Answer: t**2 + t + 9200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.96999899 - 0.97. Round f to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g - 6. Let u(q) be the second derivative of 152*q**3 - 247*q + 0*q**2 - 153*q**3 + q**2. What is -5*r(f) - 16*u(f)?\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167\/180 + -8\/45. Let a = 2.85 - -0.15. What is the third biggest value in a, h, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.981ml to litres.\nAnswer: 0.341981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 2*p**5 - 3*p**5)*(6 + 3 + 6) + 28*p**5 + 58*p**5 - 30*p**5 + 18*p**5.\nAnswer: 59*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + 176\/8 - (-6 - 5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)*s*s**3)\/(s**(-3)*s**(-2\/9))*(s**(-2\/3))**(-35)*(s\/(s**(-1)\/s))**(-10\/17) assuming s is positive.\nAnswer: s**(9269\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) + (-2 - -3). Suppose 2*l - 6*l + 616 = f. Calculate the highest common factor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146175 divided by -5.\nAnswer: 29235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 34*x + 91. Let s be w(-29). Is 15284\/7*(-189)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27 and 7.55.\nAnswer: -19.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 3733, -2, -10 in ascending order.\nAnswer: -10, -5, -2, 12, 3733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -76845 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 11*q**7\/105 + 29*q**3\/3 + 24*q**2. What is the derivative of p(y) wrt y?\nAnswer: 88*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*o + 17 = -4, -2*o + 26 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let x(y) = -21557*y + 2. Determine j(x(b)).\nAnswer: 21557*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + i. What are the prime factors of l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*v + 1620 = -769*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-601*h**2 + 601*h**2 - 25*h**3)*(-2*h + 6*h - 3*h) + 0*h**4 + 3*h**4 - 4*h**4 - h**2 + h**2 - 2*h**4 + 14*h**3 - 14*h**3 - 3*h**4.\nAnswer: -31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 13 - 2*y - 4 + 10. Calculate q(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*f**4 - 1 + (-2*f**3 + 6*f**3 - 2*f**3)*(-5 + f + 5) + 3160 - 3160 - 182*f**4.\nAnswer: -178*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130315536 to the power of 1\/2, to the nearest integer?\nAnswer: 11416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppw when four letters picked without replacement from ptwptpwwwhpppwwwwp.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 737 by -67.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/48*(5 + 156\/(-28))*192. Solve q = -57*z + 89*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g**3*v - 106*g**3 - g**2 - 352*g*v - v wrt g?\nAnswer: 72*v - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4*x + 6*x)*(x**3 - 5*x**3 + x**3 + (x**3 + 3*x**2 + 4 - 4)*(1 - 5 + 6)).\nAnswer: -x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*s + 263 = 0, 35*s - 1170 - 647 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 21, 102, 233, 426, 693, 1046, 1497?\nAnswer: 2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/324)\/(2\/54)*(-4)\/2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 335 = 2*h - 302, -2*h + 7 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*16\/(-32))\/(6*4\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**6 - 5*s**5 + 19*s**2 + 5*s. Let g(l) = l**5 - l**2 - l. Let n(u) = 5*g(u) + j(u). What is the third derivative of n(o) wrt o?\nAnswer: -2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/(r*r**2*r*r))\/(r**15*r**(7\/2)))**(-15) assuming r is positive.\nAnswer: r**(645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 12, y: 3, m: 4}. What is prob of sequence mdm?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -14. Let s(c) = -3598*c - 21580. What is the lowest common multiple of s(-6) and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 4*r + 2*r)*(2*r**2 - 5*r**2 + 2*r**2) + (-1 + 1 + r)*(-3 - 2 + 3)*(2*r**2 + 0 + 0) in the form g*r**3 + b + d*r + s*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 520680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*u**2 + 118 wrt u?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1432743*r**4 - 99*r + 23780?\nAnswer: -17192916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*m = -462*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-905)\/(-100) - 9\/((-4032)\/(-616))*2\/55?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24077\/15 + 1605. Which is the nearest to -3? (a) n (b) -0.18 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4400) + -4 + (sqrt(4400) + 1)**2 + sqrt(4400).\nAnswer: 80*sqrt(11) + 4397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 953643.3 days in nanoseconds?\nAnswer: 82394781120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1363345, -2726696, -4090049, -5453404, -6816761, -8180120?\nAnswer: -9543481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 9*w + 94. Let h be r(6). Suppose -h*q = 17 - 33. Let g = -10 + 14. Calculate the least common multiple of q and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/2096 + 124667\/10480. Calculate the common denominator of x and -79\/172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 67. Let s be j(8). Let u = s + 88. Solve 0 = -d + u*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 35*x**2 + 42*x. Let c(p) be the third derivative of -7*p**5\/60 - 3*p**4\/8 - 35*p**2. Let g(r) = 14*c(r) + 3*h(r). Let b(q) = q**2. What is b(g(m))?\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*q = -3*q - 41, 2*q = 2. Solve 4*j - 7 - x = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -3, -10 in ascending order.\nAnswer: -10, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 242*z**2 + 1858*z - 3347. Give q(-234).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 - 11*j - 6. Let o be x(-11). Which is greater: -9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34801901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 2, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 12 - 14 + q**3 - 5*q**3 to j*q**3 + d*q**2 + n*q + t and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 3 + -9 + 4 - 8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1606667 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125 - 133 + 1 - 6*g)*(-3*g + 3*g - 3*g**2) as o*g**2 + j + t*g + w*g**3 and give o.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*c - 127*c + 27 = -3*u, -2*u - 4 = c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-64)\/(56\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/1)\/2 - (-103)\/103. Let i(x) be the first derivative of b*x - 5 - 3\/2*x**2. Let t(h) = h. What is t(i(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6412184 rounded to the nearest 1000?\nAnswer: -6412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093855 is divided by 109385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r**(-4\/15))\/(r*r**(-1\/4)*r**(-2\/3)))**(-8) assuming r is positive.\nAnswer: r**(-262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-23)\/m*m)\/m*m)\/m**(-2\/7) assuming m is positive.\nAnswer: m**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2 + 2*d + 2. Let m be q(-1). Let j be 4\/(-48) - (-3)\/m. What is the third smallest value in 4, 3, j, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27466*i**4 + 3*i + 426656.\nAnswer: -109864*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x + 9. What is the units digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 + 83?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -75. What is the fourth biggest value in 2, -0.2, y, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 5) to base 4.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 140 = 4*b. Let m = b + 63. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -20*i**3 - 7*i**2 - 35*i - 66. What is b(-2)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {d: 1, s: 4, k: 5, z: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 8) to base 5\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/18 and -25\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999032 is divided by 357?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.3 (b) 5 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1593*t**2 + 1373*t**2 - 2926*t**2.\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -229901387.17126.\nAnswer: -229901384.17126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 15 = 3*o, -o - 71 = -3*b. Let t(k) = -2*k**3 - 10*k**2 + 21*k + 186. Let s be t(-6). Let c = b + s. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -23?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621236.4 kilograms to tonnes.\nAnswer: 621.2364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39.8 - 39.96. Let u(p) = -2*p**2 + 21*p - 23. Let z be u(9). Which is the nearest to 0.1? (a) 0 (b) z (c) -1\/9 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) 0.5 (c) -13 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -162. Suppose 82 = 5*k - 38. Calculate the remainder when i is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (25 + (-20 + -8 - -7))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(-3 + sqrt(468)))**2 - (5 + -4 + sqrt(468))).\nAnswer: -210*sqrt(13) + 2380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225\/812 + -1\/116. Let f be -1 - -2 - 2\/(-6). Sort u, -2, f in descending order.\nAnswer: f, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 411 - 2*c - c + 10*c - 119 - 133.\nAnswer: 7*c + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y + 4*s, 5*y + 4*s - 29 + 6 = 0. Suppose 3*n = y*z + 975, -5*n + 6*n + z = 329. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2269106 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1 - 2. Let x(l) = 13*l + 4. Let f be x(4). Let k be (32\/f)\/((-4)\/(-14)). Sort k, p, 8 in descending order.\nAnswer: 8, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 394\/5 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 17*r - 42. Suppose 3*d + 5*k - 40 = 0, 5*k = -16 - 4. Calculate the remainder when w(7) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:48 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 4*l - 1 + 17, d + 16 = 4*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3*v - q**3 + 288733*q**2*v + 2*q**2 - 9*q*v + 6*q - 394*v - 105 wrt q?\nAnswer: -6*q*v - 6*q + 577466*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 4*s**2 + 4*s + 6. Let r be c(5). Let t = r - 1. Suppose 5*i - 70 = -t*i. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -8, 114, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 4*i - 12, -4*i - 26 = -5*l. Suppose -l*q = -4, 7 = -r + 4*q - q. Let u(t) = 4*t - 1. Calculate u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18 + ((-17346)\/27)\/(-2). Suppose l = 2*k + 55. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1467 and 101\/1956?\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 3?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -263, -271, -293, -335, -403?\n\"Answer: -q**3 - q**2 + 2*q - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7617*o. Let b(m) = 1204*m. Determine b(r(h)).\nAnswer: 9170868*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 578*m**5\/23 + 46104*m**4\/23 + 79874*m**3\/23 + 24372*m**2\/23 - 9352*m\/23 + 624\/23 = 0. What is m?\nAnswer: -78, -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 9)*(-24 + 1 + 29*p + 24) as v*p + n and give v.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -2*t - 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**4 + 35 + 21 + n**5 - 52 + (0 + 3 - 2 + (-3 + 4 - 3)*(-1 - 6 + 1) + 0 - 5 + 2)*(-n**4 + n**4 + n**5).\nAnswer: 11*n**5 + 7*n**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 0*x + 0*x)*(-2 + 2 - 1) + (-1488*x - 1396*x + 2944*x)*(-1 + 4 - 2))*(1 - 3 + 1).\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -67 - (-5 - (-2 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*w - 184*w = -v + 169 - 438, -5*w - 274 = -4*v for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2236*l - 371171. Give s(166).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n = -10*n - 59 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6738*u - 550396 wrt u?\nAnswer: -6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065417 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 496452781 to the power of 1\/2, to the nearest integer?\nAnswer: 22281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -28*o - 277 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 4*m**3 - m**3)*(-2*m + m - m)*(4 + 0 - 2) to x*m**2 + l*m**4 + f*m**3 + g*m + s and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -13.6. What is l rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -3 + 9. Let b be 0 + -4 + 3 - -1. Solve b = -4*t + s - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + u - 18, -60 - 18 = -12*l + 73*u - 76*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1249573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212084889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = -12*g + 3899. What is the remainder when g is divided by 102?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - -7. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 - 127. Suppose 3*g + 2 = 5*d - 3, -4*g - 2 = -2*d. Sort m, -5, d.\nAnswer: -5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/108)\/(25245\/612)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 683251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16507873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658295530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4224\/30 - 1\/(-5). Suppose 3*s + 3*n - 143 = 61, -r = -2*s - 3*n. Let d = s - 41. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383, 1, 28.\nAnswer: 1, 28, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 63 = 23. Let z(o) = o**2 - 7*o - 12. What are the prime factors of z(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*c*g**3 + 2*c*g**2 - 872007*c - 82*g with respect to g.\nAnswer: 96*c*g**2 + 4*c*g - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9797 + 19583 - 9786 + 35*a**2.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/12 - 13*f**3\/6 - 9*f**2. Let l be j(-8). Let k be 1\/l + 2\/(-6). Which is smaller: k or 1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 4*a**2 + 4*a**2 + 3*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 754*p - 13559. Determine o(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*v + 1856*v = -u - 116, -2*v + 48 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891 > 7891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d - d**2 - 3*d + d - 5. Suppose -3*t = -m - 5, m + 3 + 2 = 5*t. Give a(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66103, 66534, 66977, 67432, 67899?\nAnswer: 68378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/2 (b) 2\/3 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/18 and 139\/4386.\nAnswer: 13158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1931)\/1508111)\/(9\/66)?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475389, -950777, -1426165, -1901553?\nAnswer: -2376941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -4. Let b = -4 - k. Let w(h) = 6*h - 1. Let f(d) = -12157*d + 6074*d + 6084*d. Give b*w(g) - 5*f(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -17 + 47. Suppose -2*p - 129 = -3*a, -6*a - 3*p + 234 = -a. Suppose 19*n = 50 + a. Solve n*i + 9 = -q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 - 4*v**2 - 2*v + 4. Suppose 0 = x + 2 - 6. Suppose -x*f - 16 = -0*f. Let w(d) = -7*d**3 + 9*d**2 + 4*d - 9. What is f*w(s) - 9*t(s)?\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -23*j + 24. What are the prime factors of q(-3)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*l - 77*l - 238*l - 124*l - 266*l.\nAnswer: -561*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.64679nm to millimeters.\nAnswer: 0.00003464679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 14308485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -918, -888, -856, -822, -786, -748?\n\"Answer: x**2 + 27*x - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 - 2*h. Let o be d(5). Suppose -m + 263 = 76. Suppose 4*b - m = -5*s, 4*s + b - 85 - 58 = 0. What is the greatest common divisor of s and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*x - 8*d + 9, 0 = 4*d - 12. Suppose 0*s - 2*s = 5*t - 35, -s + 13 = 2*t. Calculate the highest common divisor of t and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 17. Let o be u(-8). Let g = -25 - -42. Calculate the lowest common multiple of g and o\/6*(-50)\/(-15).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414 * 0.039.\nAnswer: -16.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*l - 5*l - l)*(-2*l + l + 2*l) + (2 - 4 + 3)*(4*l - 4*l + 3*l**2) in the form a*l**2 + t*l + x and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Suppose 6 = -2*b - b + 3*h, b - g = -2*h. Let j be 0\/(3\/(b + 4)). Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -159, -649, -1459, -2583, -4015, -5749, -7779, -10099?\n\"Answer: p**3 - 166*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 5. Let v(x) = -x**2 - 6*x - 5. Let y be v(-5). What is the biggest value in r, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282822964 less than 282822965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8855471.\nAnswer: 113, 78367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 2 in increasing order.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/35 in 4, -2\/19, -4, -0.02, 0, 2\/21?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10722087 divided by 210237\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.6 - -1575810780112?\nAnswer: 1575810780131.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*b**2*u**2 + 110*b**2*u + 26368*b**2 wrt u.\nAnswer: -62*b**2*u + 110*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/7 (b) -41 (c) -0.4 (d) 0 (e) 1 (f) 253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -1\/5 (c) -15 (d) -4815952\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -4 (c) -3223 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -0.7 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 334*z**2 - 61*z**2 - 170*z**2 + 1 to s*z + n*z**2 + b and give n.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 7*x - 123 + 0*x**2 + 127 - 2*x**3 + 0*x to p*x + l*x**3 + c + i*x**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -16. Suppose -2316880 = -l*x + x. Suppose 4*n = -3*s + 16370 + x, n = 2*s - 204005. Round s to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89 + 2511240?\nAnswer: 2511173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2655 and -25.\nAnswer: 6.6375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 1 - 2*i - i)*(-1 - i**3 + 1 + (3*i - 4*i + 2*i)*(2*i**2 - 2 + 2) + 3*i**3 + i**3 - 3*i**3 + 0*i**3 + 4*i**3 - 2*i**3).\nAnswer: -32*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20963 - -20960. What is the nearest to 2\/7 in z, 5\/2, 4, -1\/58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/4 + 2193*p**4\/4 + 1095*p**3\/2 = 0. Calculate p.\nAnswer: -730, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l - 1. Let g be v(1). Let z = g + 31. Suppose 0*i - z = -3*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 5*s + 2. Suppose -5*o = -o + 24. Let t(x) = -x**3 - 7*x**2 - 6*x + 8. What is the least common multiple of v(3) and t(o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -442*y + 3571. Give o(9).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15350 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-3))\/((-1652)\/1888))\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**2*o**3 - n*o**3 - 94*n - 1492*o**3 wrt n?\nAnswer: -8*n*o**3 - o**3 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -666 + -45a31?\nAnswer: -46197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3048 divided by -313672.\nAnswer: 381\/39209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 427, 992, 1813, 2908?\nAnswer: 4295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*r - 148*t + 147*t, 0 = -2*r - 4*t + 42. Solve 14*y + r = 11*y + 5*h, -3*y + 32 = 4*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -617 * 175.\nAnswer: -107975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + u + 1)*(2 + 2 - 3) + 5*u + 2 - 2)*(4 - 2 - 1).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**3\/3 + 853. Let y(i) = 101*i - 2. Calculate z(y(d)).\nAnswer: -20402*d**2 + 808*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*y - 147*y + 20. Which is the nearest to 0? (a) y (b) 2 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1996*-0.51.\nAnswer: 0.101796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 74 = 2 - 176. Let y(k) = 3*k + 7. Let s(g) = 2*g + 7. Give i*y(q) - 5*s(q).\nAnswer: 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6332013 or 6332014?\nAnswer: 6332014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + -4 + (-39)\/(-9). Let h be o - 2 - (2 - 12\/1). Suppose -h = 4*a + 7. Which is smaller: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3375, 0.112, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -16 + 56 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.6 times -0.2?\nAnswer: -9.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, -11, -52, 2 in decreasing order.\nAnswer: 31, 4, 2, -11, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 13 = -4*c, -5*p - 166*c - 171*c = -333*c - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14951?\nAnswer: 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3081*b**2*i**4 - 8*b**2*i + 13*b**2 - 2*i**5 + i**2 - 3*i wrt i.\nAnswer: -36972*b**2*i**2 - 40*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 35. Which is the fourth smallest value? (a) 5 (b) m (c) -0.5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose 4*j + 20 = 4*l, -5*j - 9 = -2*j + p*l. List the prime factors of (-38)\/j - 1\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23022.4 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2263 = 1562. Suppose -25*c + r = -8*c. Calculate the least common multiple of 5 and c.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8758 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -22 - (-2 + -5 + 42).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 8*y**2 + 2*y + 3. Let o(l) = -5*l - 5. Let r be o(-5). Let a = 13 - r. Is w(a) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + 53\/(-4). Let u(f) = -f - 17. Let g be u(-9). Let r = g - w. Solve -4*b + 1 = r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2 + 2)*(8*j**2 + 23*j**2 - 5*j**2).\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-287)\/49 - -6) + 1826\/7. Suppose -3*j = 2*u - 214 + 21, -4*j + w = -u. Which is smaller: j or 68?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 1 + 1)*(3 - 7 + 3) + 0*a - a - a + 225 - 103*a - 225.\nAnswer: -109*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4503332 (base 6) to base 8.\nAnswer: 671750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*q - 295 + 1556 + 33*q + 641 - 7*q + q**3 as g*q + x*q**3 + o + m*q**2 and give o.\nAnswer: 1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 67171 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5160957448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9069334\/2065 - -30745\/7. Find the common denominator of 83\/14 and g.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 14050 = 8*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3 - 3. Let t = 14 + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - b - 21495 = 33180, 0 = 3*w - b - 82013. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -57*u - 19. Let d be x(-7). Let q = d + -190. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 128. Suppose 243 = 9*t - 45. Let q be y(t). Let j = 6\/115 - 393\/920. Is j bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 + 9*l**2 - 2*l + 5. Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 45*q + 33*q - 74*q - 5.\nAnswer: 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + 2*93\/72 and -103\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2389 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 13*o + 5*s + 1233, 1860 = 3*o - 4*s. Suppose -6*z = -1602 - o. Is z a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.323 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -4. Let r = 20 + h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttat when four letters picked without replacement from attt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -548*m**6 + 3*m**5 - 4*m**5 + 209*m**2 + 543*m**6 wrt m.\nAnswer: -600*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 188*p + 17521. What is n(-93)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 192. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 131 + 37 = 0. Let s = 41 + f. What is the smallest common multiple of (-7 - s)\/(2\/(-3)) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 3*x**5\/20 - x**4\/12 + x**3\/2 - 5*x**2\/2 - 8*x. Let k be m(3). Let c = -46 + k. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 3, 3*r + 3 = j. Let q = r - -4. Suppose -z = t + 2*z - 42, 3*z = -q*t + 168. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v + 1. Let n be 2 + (-2)\/(2\/9). Let l be z(n). Let h = l + -20. Which is the nearest to -2? (a) 1\/11 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7 + 8. Suppose w = -r*w + 300. Suppose -5*h = 4*z - w, -3*z + 5*h + 2 = -28. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 - 7*r**4\/12 + r**3\/3 - 9*r**2\/2 + 16*r. Let q be k(7). Sort q, -1, 3 in decreasing order.\nAnswer: q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16945614*x + 60418237.\nAnswer: 16945614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 148*j**2 - 1980*j - 552. What is g(18)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 4*z**3 - 3*z**3)*(-3 + 0 + 2)*(-30*z + 30*z + z**2).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6*u**(-8)*u**(-6)\/u**2*(u**(2\/11)\/(u*u**4))\/(u**(-4)\/u*u*(u**(-7)*u)\/u) assuming u is positive.\nAnswer: u**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d - d + 2*j, 0 = 5*j. Solve -5*o - 9 = 2*s - 21, 5*o + d*s = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2733334*g - 2. Let z be q(-3). Suppose 3*c = -9*c + 96. Suppose -6*l - z = -c*l. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5551 (base 7) in base 8?\nAnswer: -3714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1006*c**5 - 9*c**4 + 33*c**3 - 2*c**2 + 10714*c - 1 wrt c.\nAnswer: 60360*c**2 - 216*c + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -1.2. Let d = -0.5 + t. Round d to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 - (2 - 7). Suppose h - 14800 = l*h. Round h to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 971.\nAnswer: 175\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 5*i + 108 = 49*r, 0 = r - i - 36. What is the least common multiple of r and 1746?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z + 12. Let h(t) = -2*t**3 - 2*t + 12. Let q(s) = -2*h(s) + 3*v(s). Let x be q(0). Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -57 + (2 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l + 1. Determine j(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92210178 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaah when four letters picked without replacement from ahaahaahaahaahhhahha.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 7279704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32672 or -3659181\/112?\nAnswer: -32672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 20 = 0. Suppose w*s - s = 6. Is ((-4)\/6)\/(s\/(-39)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11198, 85581, 287486, 680675, 1328910?\nAnswer: 2295953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3749462030 to the nearest integer?\nAnswer: 61233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*1\/(-30)*6)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**9*p*p**(-7))\/(p*p**(2\/9))**6)**(1\/15))**4 assuming p is positive.\nAnswer: p**(-52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454003 is divided by 11071.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qgqqqqqqgqgqqqqq?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 169. Give g(7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1139316mg to grams.\nAnswer: 0.0001139316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*u + 80*u + 3*y = 3438, 2*u - 4*y - 660 = 0. Does 38 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose -a*l - k - 591 = 0, -141 = l - 2*k + 147. Let f = 515 + l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 15 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4732*z**2 - 4522*z.\nAnswer: 9464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14874726 by -118.\nAnswer: 126057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 25 + 0*p**2 + 10.\nAnswer: -2*p**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015629 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803619 is divided by 854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - x**3 + 0*x**3)*(-1 + 1 - x) + (0 + 0 + x)*(-2*x - 57*x**3 + 13*x**3 + 367*x**3).\nAnswer: 322*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 315267200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {u: 5, h: 1, z: 5, d: 5, i: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.282 + 0.2621. Round s to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21730788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - a**2 + a - 1. Let d(i) = -6*i**3 - 7*i**2 + 7*i - 6. Suppose 2*s + 4*h + 4 = 3*h, -3*h = -5*s - 10. What is s*d(z) + 14*c(z)?\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 4900.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213913287?\nAnswer: 137, 16159951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48156 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 55 = 2*n + 4*x, 4*x = -2*n - 30. Let i = n - -46. Suppose 6*g - i = 3*g. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -912.9 - 0.\nAnswer: -912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*c - 213 + 1170*c - 32*c**2 + 31*c**2.\nAnswer: -c**2 + 1044*c - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78609, 78622, 78625, 78612, 78577, 78514, 78417, 78280?\n\"Answer: -w**3 + w**2 + 17*w + 78592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336191008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 - 24*c\/7 - 4.\nAnswer: 4*(c - 7)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 73371.81 to the nearest 100.\nAnswer: 73400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/90 and 4\/(1080\/(-1226)) - (-13 - -9)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 178 - 167. Let m = n + -209\/3. Which is the nearest to m? (a) 0.3 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**39*u*u**5\/u)\/(u**(11\/5)\/(((u\/(u*u**(-21)))\/u)\/u)) assuming u is positive.\nAnswer: u**(304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73787 and -17?\nAnswer: 1254379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -88. Are k and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11c + -5975?\nAnswer: -5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13955 = 744*k - 16549 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66220 and 22?\nAnswer: -1456840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojamnamommom. What is prob of picking 1 m, 1 o, and 1 n?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 13. Let p(a) = 1143*a + 82385. What is the remainder when p(-72) is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.441475ml in litres?\nAnswer: 0.003441475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.9 (b) -1\/4 (c) 947 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 590.000412 - 590. What is h rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.83396kg in nanograms?\nAnswer: 37833960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -123. Suppose z = s + s. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - ((7 - 2) + -14 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1763 = 2*u - 609, 5*u + 2947 = 3*w. Let f = u - -1095. List the prime factors of f.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 2. Let g be s(-7). Let o be (-12)\/g - 2\/(-8). Sort -0.9, 0.4, o in increasing order.\nAnswer: -0.9, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 3*h**2 + 6*h + 26. Let i be w(-3). Suppose i*d = -30 + 5510. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -107 and 39268.34?\nAnswer: 39375.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2400*k**2 - k - 10. Suppose 5*u - 15 = 15. Suppose -a - 4 = u. Let b be i(a). Round b to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 11978?\nAnswer: 215604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 9 = -d. Suppose 3*s - 5*t = -2*t - d, s = -4*t + 12. Solve 3*l = -12, h + 3*l + 2 + 11 = s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001 (base 2) to base 10.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1328\/2443 - 90\/349. Let r = -2 + 7. Which is the second biggest value? (a) -0.2 (b) k (c) -9 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5331175?\nAnswer: 5, 213247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, r: 4, d: 4, s: 1, i: 2, j: 4}. Give prob of sequence rjds.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ladalada.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let v = 2.9 - i. Let p = 12 + -14. Which is the nearest to v? (a) p (b) -1\/7 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -16. Let u = -15 + m. Which is the closest to -2\/5? (a) u (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + 198\/(-55). Let s(i) = 2*i**3 + 183*i**2 - 96*i - 363. Let n be s(-92). Sort -19, d, n, 1 in decreasing order.\nAnswer: n, 1, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, -88, -1866, -5718, -12334, -22404, -36618, -55666?\nAnswer: -80238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3678)\/(-546) - 6 - 1224\/2856?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)\/(t\/(t**(-1\/16)\/t)))\/((t*t**14*t)\/t**(-1\/16)) assuming t is positive.\nAnswer: t**(-741\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*q + 10, 17 + 8 = -2*u - 5*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -520 and 77.\nAnswer: -40040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(99) - (2 + sqrt(99) + -5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2663\/850?\nAnswer: -2663\/850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*c**2 - 63*c**2 - 16*c**2 - 174*c**2 + 9*c**2 to the form f*c + j*c**2 + x and give j.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9526173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*s - 227. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-36))\/((-300)\/(-3200)*(-128)\/48)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8, 0*u + 3*u = 3*x - 9. Suppose 0 = -2*r + z + 11, r = -x*z - 0*z. Suppose -r*f + 25 = -0*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183646*7\nAnswer: -1285522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 1\/4 (c) 2404863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (1 + (-2 - (-7 - -14))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*w - v, -v - v + 50 = -3*w. Let r be 1\/(44\/w - -3). What is the derivative of -9*s**2 + 7*s**r - 1 + 5 + 9*s**2 wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 518 + -525. What are the prime factors of (i\/(-14)*1)\/(3\/4542)?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77846 is divided by 469.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6545 is divided by 252.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + g = 15, -s + g + 3 + 7 = 0. Let u(w) = -w**2 + 4*w + 7. Let n be u(s). Suppose n*q - 12 = -2*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92056 = -15*p - 7066. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 - 16*a**2 + 2*a + 2. Let g(n) = -26*n**3 + 66*n**2 - 8*n - 7. What is -3*g(r) - 11*s(r)?\nAnswer: r**3 - 22*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*h = 32, -27 = -0*p - 5*p - 3*h. Suppose 4*w + 2*j + 4 = 12, -j = -p*w + 16. Solve -5*k + n - w = 0, 5*k + n + 0 = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 121*g**2 - 2294*g - 7176.\nAnswer: (g - 138)*(g + 4)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 4*y + 119*y**2 - 119*y**2 - 3*y**3 in the form m*y + f + t*y**3 + s*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 5. Let q = 5\/3 - 1. Let o(r) = -2*r**3 + 3*r**2 + r - 2. Let s be o(2). Which is the second smallest value? (a) g (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 20 = 4*s + 4*i, -s + 4*i + 5 = 0. Suppose s*j - 155 = 50. Suppose -10*z + 9*z + j = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2653 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 2*d)*(0 - 1 + 5049*d - 2661*d - 2537*d).\nAnswer: 447*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*m**3 - 102*j*m - 27*j wrt m.\nAnswer: -3*j*m**2 - 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286756 and 792796.\nAnswer: 13477532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = f, -3*f + 19 = 5*g - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -5 (b) 3 (c) 1\/5 (d) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 96.9392. What is u rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 15 + 7 - 3*q + 24*q**2.\nAnswer: 24*q**2 - q + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2242590, 4485179, 6727768, 8970357, 11212946?\nAnswer: 13455535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 55 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, k: 4, j: 4}. Give prob of sequence nkk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -338 - -341. Let m(k) = 47*k**3 + 6*k + 9. Let i be m(r). What is the highest common factor of 81 and i?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683993*z**2 - 2569535*z**2 + 774528*z**2 - 516547*z**2.\nAnswer: -2995547*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k + 83. Let q be w(-3). What is the closest to q in 2, 1, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 6*i + 7. Let m = 31 - 35. Let s be u(m). Let o = s - 24. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 2, x: 2, b: 2, y: 5}. What is prob of sequence nbb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 5*l**2 + 27*l + 21. Is c(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 923544 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 17538 = 2*w, -44*p = -5*w - 41*p + 43872. What are the prime factors of w?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*a + 5, 4*x - 1092 = -4*a. Let r = 688 - x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4 = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/471 and -19\/471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 + 1 = -2*c, c = -5*q - 15. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*k - 1, -17581*k + 17573*k - 2*u + 34 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*y - 17 = 0, 2*h - 4179*y = -4092*y - 93 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z - 2*z + 8*z - 3*z to i*z + f and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009608672 rounded to 4 dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f**4 + 0*f + 0*f**6 - 3*f**2 + 0*f**3 + 0 - 1\/20*f**5 - 1\/42*f**7. Find the third derivative of v(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/4 + -2. Let c be ((-2)\/5)\/(4\/(-5))*4. Suppose -c*h - 8 + 10 = 0. What is the nearest to s in -4\/5, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let l(y) = -2*y**2 + 0*y**x - 2*y**2. Let h(j) = 2*j**2 + j**2 + j**2 - 6*j**2. What is l(h(q))?\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-3))\/t*t**(-3))\/(t**(2\/7)*t*(t*t**(1\/7)\/t)\/t*t))\/((t*t**1*t)**(-15)*((t*t**(-3)\/t)\/t)\/t*t**(-5)\/t) assuming t is positive.\nAnswer: t**(347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 63\/210*-89\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7414 = 5*t + 7434, t = 8*k - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 229*r**3\/3 + 374. Let m(c) = 18*c. What is u(m(b))?\nAnswer: 74196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45458 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*l - 9, 0 = r + 4*r + 5*l - 30. Suppose -a - 2 = -r*a + n, -4*a + 5*n = 2. Suppose 5*k = -a*c + 192, 2*k = 4*c + 43 + 53. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -278, -616, -956, -1298, -1642, -1988?\n\"Answer: -p**2 - 335*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4487 + -7261. Let j = t + 5169. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74643647, -74643649, -74643651, -74643653, -74643655?\n\"Answer: -2*f - 74643645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -49*r**2 - 2*r**3 + 3*r**3 + r**3 + 2 + 55*r**2 + 3*r - r**3. Suppose 3*b + 10 = b. List the prime factors of l(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.1, 41.9822, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3180086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (2 - (16 - 11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 + -98. What is the hundreds digit of 2*y\/14 + 0 + 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78594 - 78599.0491. Let q = s + 0.0491. What is the second smallest value in q, -3, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qacicyycyuiqaacycayi. What is prob of sequence yuyi?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-11*i**4 - 20 + 20).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 2404*s**4 + 34152*s**3 + 176472*s**2 + 397980*s + 332100 = 0. Calculate s.\nAnswer: -5, -3, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/9 or -38\/25?\nAnswer: -178\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 3*a**3 - 4*a**3)*(2 - a**2 + 7 - 1).\nAnswer: 3*a**5 - 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.7 + 40.028. Let z = 0.3172 - d. What is z rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2784049.528 to the nearest one thousand.\nAnswer: 2784000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -641.936 - -642. Let j = q - 0.094. Which is the third biggest value? (a) j (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:35 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1 - 300\/(-45))*(59 - (-6425)\/(-100)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 472388\/5 + -95274. Let u = -797 - n. Which is the closest to 0? (a) u (b) 3 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237623 by 4.\nAnswer: 237623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795215.\nAnswer: 5, 89, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29533*a**3*m - a**3 - 13*a**2*m + 2*a**2 + 163*a*m - 48*a - 5*m wrt a?\nAnswer: 177198*a*m - 6*a - 26*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2571.\nAnswer: -2571, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a milligram in micrograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11577948 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: What is the remainder when 11956 is divided by 5977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 36*w = -27*w - d + 14, 10*w + 5*d - 70 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -468*b - 456*b - 847*b + 29. Is o(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 9785 (c) 11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1444392 and 15045750?\nAnswer: 180549000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - c - 1. Let b(x) = -5*x**3 - 16*x**2 - 38*x - 1. Let s(f) = -b(f) + 2*l(f). What is the second derivative of s(z) wrt z?\nAnswer: 42*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.8 + 13. Put p, -2, 3 in ascending order.\nAnswer: -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 3*t**5\/20 + t**4\/4 - 9*t**2\/2 - 26*t - 6. Let w(z) be the first derivative of v(z). What is the derivative of w(u) wrt u?\nAnswer: 9*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33033312 (base 5) to base 14\nAnswer: -754bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u. Let y(g) = 10*g**2 - 3*g - 3. Let l(p) = -p**2 + p + 1. Let v(a) = 3*l(a) + y(a). What is m(v(h))?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -35*q**5 - 675*q**4 - 1555*q**3 + 4475*q**2 - 1410*q - 800 = 0.\nAnswer: -16, -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(343) - -1*sqrt(343)*-2))**2 - ((sqrt(21)\/sqrt(3) + sqrt(7))*3 - (sqrt(28)*-1)\/sqrt(4))**2)*5.\nAnswer: 60025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -4*p. Let x(r) = p + 1 - r**3 + 3*r**2 + 2*r**3 - r. Is x(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4*z**4 + 3*z**3 + 4 + z**2 - 20 + 3*z**4 to the form m*z**3 + o*z + j + y*z**2 + b*z**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 - -210?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - -11241?\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -139.17. Put -3, -0.2, k in descending order.\nAnswer: k, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45550 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -331*y. Let u(p) = -27584*p**2. Determine u(c(q)).\nAnswer: -3022130624*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6 = 31. Let p(d) be the first derivative of d**4\/4 - d**3 + 3*d**2\/2 - 6*d + 1. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9)*(3520\/(-385) - -9).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -43. Suppose 3*n + 7*n - 340 = q. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 13*t - 12. Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2528 and 113\/160.\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*l + g + 2*g, 0 = 4*l + 2*g - 82. What is the smallest common multiple of 112 and l?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130411629 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:20 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 2560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 19*w**2 - 18*w - 24. Let x be t(18). Let z be 5\/x + 3\/9. Factor z*v**4 + 0 + 3\/8*v**3 + 1\/8*v + 3\/8*v**2.\nAnswer: v*(v + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*r = -0*r - 2, 0 = 2*h + 4*r - 16. Suppose h*y + 6 = 5*y. Solve -3*u = -g + 4*g + y, 2*g + 3*u = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(3\/5)))\/(a**2\/a)*a*a*(a*a**(-2\/7)\/a*a)\/a*a*(a*a**(-2\/7)*a)\/a*(a**(-4\/7))**49 assuming a is positive.\nAnswer: a**(-881\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81188*r**4 + r**3 + 119082*r wrt r.\nAnswer: 974256*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = y - 7, -5*y + 2*z + 40 = 0. Suppose -35 = -5*u + 5*k, -4*k + y = -u + 24. Sort 10, 3, u in ascending order.\nAnswer: 3, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v - 2. Let t be w(4). Suppose 9*f + 3 = 39. Solve 0 = -h - 4*u - 15, h - f*u - t = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.8, -2011?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -19)\/(-24)*(-1 + 1)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14271090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvsaxavffnfs. Give prob of picking 1 f and 1 x.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 45*j\/7.\nAnswer: -3*j*(j + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 2) + (-5 - 29)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99*q**4 - 2*q**3 - 1425*q + 2211911?\nAnswer: 396*q**3 - 6*q**2 - 1425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.15 (b) 16.47 (c) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/28 and ((-18)\/(-8))\/(10\/18)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:58 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 - 845*i + 3388. Determine c(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + (-579)\/(-6). Suppose -8*s + 0*s - w = 0. Let u be (s\/5)\/(2\/(-5)). Solve 3*q = u*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55695 greater than 55611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18.38, 0.08, -5\/6, 0.17, -6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-50))\/(4 - (-6)\/(-3)). Let b = d - 3\/2350. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -787 (c) -1\/2 (d) 0.4 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.993 - 6. Let s = 11.4 - 11.4188. Let g = l - s. What is g rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r - 5853*r**2 + 5805*r**2.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.459902246 to 3 dps.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 287\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 at most -5780\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -117082398243.937?\nAnswer: -117082398245.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110 (base 2) in base 7?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 6.3. What is the third biggest value in -2, -0.4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 325, 1303, 2933, 5215, 8149, 11735, 15973?\n\"Answer: 326*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llkhl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/369000 and 41\/585000?\nAnswer: 23985000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342 - 401.2. Let t = l - -59. What is the nearest to -1 in 1, 21, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*b + 4. Let m be 8*(b - -2)\/2. Let w = 16 + m. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/7 + 79712*w\/7 - 23468636.\nAnswer: 4*(w - 1883)*(w + 21811)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 18 (b) -19 (c) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5869.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 20, -3*k + 47*l = 49*l - 149587. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - q. Solve f + q*n = -3*n + 7, -3*n - 5 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.5 - 361.5. Let t = x + 352.1. Which is the third smallest value? (a) 5 (b) t (c) 4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 6 + 30 - 10 - 3 - 20 - 3*o.\nAnswer: o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*n = -b + 6, 11 = 4*b - 5*n. Suppose 4*v = -b*h - 8, -2*v - 12 = -4*h - v. Solve h*q - 16 = 4*q - 2*z, -3*q = 5*z - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1 + 5 + sqrt(26)\/sqrt(2))*-5.\nAnswer: -45*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*i - 5*b, 0 = -5*i - 5*b - 5 - 10. What is the second smallest value in i, -4, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -402784, 1, -4, 3.\nAnswer: -402784, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 386\/11 greater than or equal to 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*b + 32*b**2 + 868*b**2 + 5*b**5 - 21*b**4 + 590*b**3 + 121*b**4.\nAnswer: 5*b*(b + 1)**2*(b + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -106*r. Let t(a) = 10*a**2 + 14*a + 7. Let y(x) = -3*x**2 - 4*x - 2. Let w(q) = -2*t(q) - 7*y(q). Give w(d(i)).\nAnswer: 11236*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1475\/413)\/(9\/(-63))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/15 + g**2. Let l(j) be the first derivative of -j**2 - 105. Determine l(f(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 12?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/32 and 85\/23983424.\nAnswer: 23983424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.597 or -0.08812?\nAnswer: 1.597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + 3. Let a be k(-6). Let s be (0 + (-6)\/(-3))\/(-1). Let q(f) = -f**3 + 2*f + 1. Let r be q(s). Solve a*p - r*p = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1320.5 - -1651. Let m = 349 - r. Is 0.2 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120386.\nAnswer: 2, 1560193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -119041*p + 2023615. Calculate v(17).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 48*p**3 + 260*p**2 + 54*p - 154. Calculate t(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**35\/(z\/((z\/(z\/(z**(-25)\/z)))\/z)*z)*z**(2\/7)\/z*z*z**(-5\/8)*z assuming z is positive.\nAnswer: z**(373\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004323 (base 6) in base 14?\nAnswer: -13511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 295, 544, 793, 1042?\n\"Answer: 249*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 - m - 4. Let c be u(-5). Let r = 109.9 - 112.9. Sort -0.08, c, r, -0.5 in ascending order.\nAnswer: r, -0.5, -0.08, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 40. Let w be -3 + 11 + (-5)\/d*8. Solve 2*r + 2 = 0, -2*x - 4*r + 2 + w = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61156007.\nAnswer: 11, 149, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 2*w + 1. Let x(l) = -l**3 - 3*l**2 + 6*l + 6. Let i be x(-4). Determine p(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 11}. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7049679 is divided by 214?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 24. Let v = 54 - 57. What is the common denominator of (v\/q)\/((-2)\/(-87)) and -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 6, d: 1, i: 2}. What is prob of picking 1 d, 1 h, and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 54 = 5*p, 2*p + 0*y - 8 = -3*y. Let z be (1*-10)\/(2\/1). Let n be (-14)\/(-8) - z\/20. Calculate the highest common factor of n and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 59577853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 5*g**4\/4 - g**3\/6 - g**2\/2 - 24*g + 2. What is a(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130833345 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1777116 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, -1089, -3276, -6311, -10188, -14901, -20444, -26811?\nAnswer: -33996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1948 and 1951 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1461*g + 6. Let z(t) = t**2. Calculate h(z(w)).\nAnswer: 1461*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170, 307, 444, 581, 718?\n\"Answer: 137*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/9 + 218935640*x\/9 + 5991601807776200\/9 = 0 for x.\nAnswer: -54733910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -11*f**2 - 14*f - 3. Let h(m) = 6*m**2 + 8*m + 2. Let i(s) = -9*h(s) - 5*p(s). Suppose -2*z + 10 = -0*z. Let g be (-3)\/(-2 + z\/4). What is i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -36*o + 49*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-27))\/((-4)\/(-12)). Let q be (-4)\/(-8) + 2\/12. Sort -5, g, q, 0.5 in ascending order.\nAnswer: -5, g, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4491504 divided by 2\nAnswer: 2245752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2740 or -38351\/14?\nAnswer: -38351\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 8293 = -57789. List the prime factors of n.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1208\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.187574 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42568 and 9656?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6009 - 30044\/5. What is the biggest value in 0.09, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7415333 to 2 dps.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 32\/12) + -5. Which is smaller: l or 1534?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -2149, -4651, -8105, -12511?\nAnswer: -17869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttch?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxpxxxxxp. What is prob of sequence pxx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9373\/18 - 522. Find the common denominator of r and -151\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49\/3 or 20.8?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4884740 and 223\/7327110.\nAnswer: 14654220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 26 - 5*a**2 + 0*a**2 - 8*a - 13. Give m(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854484065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 933, 1856, 2779, 3702, 4625, 5548?\n\"Answer: 923*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - -14.7. Let i = m + -9. Let h = 9.4 - i. What is the closest to -1\/4 in -2, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r. What is v(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 19*h**2 - 77*h - 44. Let p be r(7). Let d(g) = 5*g - 7. Let z(o) = -11*o + 13. Determine p*d(s) + 2*z(s).\nAnswer: 3*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:52 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10198 + -10039. What is the remainder when 2222 is divided by t?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64 from -0.022095603321.\nAnswer: -64.022095603321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 362*y**2 + 2*y**3 - 727*y**2 + 121*y**2 as c*y**2 + u + t*y + s*y**3 and give c.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -154479030 to the nearest 1000000.\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:15 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53320 + 39*p**3 - 7*p**3 - 53320.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 42980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k - 4*k**2 - 38*k + 15*k as r + o*k + i*k**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -6.06128, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 997857 and 47517?\nAnswer: 997857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -0*s. Sort 2, s, 7.\nAnswer: s, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1135100450 + 21?\nAnswer: 1135100511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 8520?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83.66 - 83. Round a to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b - 55. Calculate f(-65).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27134708.\nAnswer: 2, 6783677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most as big as -1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 26. Let u be z(7). Find the common denominator of -119\/54 and u*302\/(-72) - (-79 + 83).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 46*r + 45. Let g be j(22). Sort g, -10, 4 in decreasing order.\nAnswer: 4, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5911 (base 10) in base 4?\nAnswer: -1130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/15 - (-2)\/3. Let t = 0.017 + -1.017. Which is the nearest to t? (a) -0.4 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.226 times -4?\nAnswer: 0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let v be 1\/(-2)*2 + l. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6711594799030 and 4?\nAnswer: 6711594799026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*y + 30560 = 0, -5*g + 0*g - 5*y = -76380. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 - 6. Let q be g(-7). Let w = q - -301. Solve 30 = 4*r - 5*v, -4*r = 4*v + w - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901008 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*p - 8499, 2*p - p + 11357 = 4*t. What are the prime factors of t?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335681 is divided by 667762.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 11*m - j + 7316, m = -j + 2438. What are the prime factors of m?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -8. Suppose -8*q - 3*q - 11 = 0. Let w = 1 - 1.2. Which is the nearest to s? (a) q (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99394*x**4 - 77*x**3 + 15*x**2 - 148*x - 324109?\nAnswer: 1192728*x**2 - 462*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 2, l: 5}. Give prob of sequence lzz.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 48. Let h = 53 + b. Suppose 0 = -3*p - g + h, -2*p + 20 = -0*p + 4*g. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 20*z**2 + 22*z + 13. Determine l(-19).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 868*v**4 + 1136*v**2 wrt v.\nAnswer: 20832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30926 - -48753. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3425600 + 2255600. What is n rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 44*i - 1518. Let u be m(35). What is the highest common divisor of 2365 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/3*t + 2\/3 + t**3 + 2\/3*t**2 = 0. Calculate t.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.0585, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j - 62. Let z(w) = w**3 - 124*w**2 + 4*w - 501. Let u be z(124). Let n(v) = 4*v + 41. Calculate u*p(q) - 8*n(q).\nAnswer: -2*q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*u = 3077 + 2795, -2*i - 5*u = 3948. Let x = i - -367270\/187. Which is bigger: x or -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 105895 and 0.316.\nAnswer: 105895.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14400 - -14252. Is s at least as big as -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/1470 - 87*l**6\/56 + 35534*l**5\/35 - 53138*l**4\/21 + l**2 - l - 1403. Find u such that f(u) = 0.\nAnswer: 0, 1, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/14 - -67\/70. Suppose r*n**2 - 3\/5*n - 6\/5 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -111\/11, 3\/5, 1\/6, -0.5, 14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 11, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 592, 2068, 4610, 8284, 13156, 19292?\nAnswer: 26758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (13 - -2) - -1*9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((208\/(-2093))\/(-8))\/(2\/(-7))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36452 = 21*l + 229694. List the prime factors of (-49)\/392 - l\/16.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*u**2 + 11*u**2 + 1871 - 1870 + (-3 + 1 + 4)*(-2*u**2 - u**2 + u**2).\nAnswer: 72*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 14*p - 19*p + 510, 0 = 4*q - 20. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 2, b: 3, e: 2, n: 4, a: 1}. What is prob of sequence eell?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 566990 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 140 = 12*d. Let m(p) = p**2 + 5*p - 3. Let h be m(-4). Let i = d - h. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4380*h + 4389*h - 72 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 550 and 1540?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 768.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31481789?\nAnswer: 131, 240319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**3 + 45*i**2 - 45. Let g = -273 + 269. Let t(b) = b**3 + 4*b**2 - 4. Calculate g*q(n) + 45*t(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*t - 467*t + 506*t - 472*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 45*m**4 + 1227465*m**3 + 25756915*m**2 - 136385*m - 2861880 = 0.\nAnswer: -27256, -21, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111 (base 2) to base 13.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*s**2 + 330*s**2 + 99 - 164*s**2 - 99.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 1. Let f(q) = 30*q**4 - 8*q**2 - 2*q - 2. Let v(d) = f(d) + 2*i(d). What is the third derivative of v(u) wrt u?\nAnswer: 720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5343, 10746, 16135, 21504, 26847, 32158, 37431?\n\"Answer: -u**3 - u**2 + 5413*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13.9157416375 - -2\nAnswer: 15.9157416375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:46 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g**5 + 0*g**4 + 0*g + 1 - 2\/3*g**3 + 1\/720*g**6 + 0*g**2. Let i(a) be the third derivative of h(a). Factor i(p).\nAnswer: p**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-10)*2095\/1676?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -62*x**2 - 3*x - 3. Let h be v(-1). Let f = h - -309\/5. Which is the second biggest value? (a) 2 (b) -0.15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 21. Let h(k) = 2*k. Determine h(t(o)).\nAnswer: -4*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-432)\/40))\/(520\/48)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 179 (base 13) to base 8\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67\/261 or 0?\nAnswer: 67\/261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8352\/378 + -22 + (-262)\/(-42)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00640913462 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 64.5968. Let m = 1.4 + k. Round m to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - ((-12606)\/(-6534) + 4\/22).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10*s = 5*s + 55084, t - 55111 = 4*s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/3 - 15064*w**2\/3 - 770944*w = 0 for w.\nAnswer: -152, 0, 15216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 17*f**3 - 2*f. Let x be (26\/39)\/((-69)\/(-90) + 6\/(-10)). Let a(i) = -16*i**3 + 2*i. Calculate x*t(s) + 5*a(s).\nAnswer: -12*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - j + 3 = 4, -5*g - j + 15 = 0. Suppose g*k = 37 + 3. What is the lowest common multiple of k and 1\/(-1) + (-6)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 11761803?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/17 (b) 2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195469, 390946, 586423?\n\"Answer: 195477*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2730*c**3 + 49*c**2 + 2849. Let b(r) = -341*r**3 - 6*r**2 - 356. Let o(j) = 49*b(j) + 6*f(j). What is the first derivative of o(g) wrt g?\nAnswer: -987*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d - 145. Let n be m(7). Put 1, n, -40, -2 in ascending order.\nAnswer: -40, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(275))**2 + -4 - (-3 + sqrt(176) + 2*(sqrt(11)*1 - sqrt(11))).\nAnswer: -4*sqrt(11) + 9899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3*u + 3, 0 = 3*u. Let k(y) = -y + 10. Let j be k(5). Suppose -r*o - 1 = -j. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5*u + 31241170*t**3*u - 296677*t*u + 5*t wrt t?\nAnswer: 20*t**3*u + 187447020*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.399 + 0.101. Let v = 27.5 - p. Which is the closest to -1? (a) v (b) -1\/4 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3579 - 4895 = -19*p + 456. Calculate the remainder when p is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 21*s**2 + 8*s**2 + 11*s**2. Let d(n) = -13*n**2. Determine d(h(b)).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 6*k**2 + 0*k**2 - k**2. Let v(f) = f**2. Determine j(v(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ullu when four letters picked without replacement from puppjjlllpu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - ((5 - (10 - (10 + -1))) + -7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(108))**2 + (sqrt(33)\/(sqrt(11)*1))**2 + 0 + 2*(sqrt(66)\/sqrt(2))\/sqrt(11)*-1*-2.\nAnswer: -32*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = -0*m + 5*z, m + 5*z + 7 = 0. Let d be (-267)\/5*-3*40\/24. Suppose -d - 278 + 22*s**2 + m*s**2 + 530 - 10*s = 0. Calculate s.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 3 (c) -19129\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -252017, -505144, -758271, -1011398, -1264525?\n\"Answer: -253127*m + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 - 191 = 28*j - 13 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 - -29\nAnswer: 28.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:17 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*f = -367 + 2259 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l - 15 = g, 4*l = g - 9. Let h(k) = k - 1 - k + 0*k - k. List the prime factors of h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34753, 139301, 313551, 557503, 871157, 1254513, 1707571?\n\"Answer: 34851*l**2 - 5*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let k = -11 - -19. Let f(u) = 5*u**2 - 3*u. Let g(r) = 14*r**2 - 8*r. Let a(w) = k*f(w) - 3*g(w). Give a(i(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.09413428811.\nAnswer: -3.09413428811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/5, -0.3, 43?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + u - 9. Let p(r) = 2*r**2 + r - 8. Let g(o) = -4*f(o) + 5*p(o). Let j(c) = 9*c**2 - 4*c + 17. Determine 26*g(a) + 6*j(a).\nAnswer: 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.62 + -0.62. Which is the smallest value? (a) 3 (b) t (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 4*h + 5. Let r be b(-8). Suppose -1707 = -57*l + 3480. Let j = l + r. Solve -2*d + 8 - 2 = j, -2*y - 4*d + 14 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 b when four letters picked without replacement from {r: 15, b: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3852.336 micrometers?\nAnswer: 0.3852336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10251 + -10262. Let h(x) = 16*x + 10. Let n(a) = -8*a - 5. Calculate g*n(m) - 6*h(m).\nAnswer: -8*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1)))**(2\/59))**(-1\/10)*(m**(1\/9)\/(m\/(m*m**6)))\/((m**(-1\/3)*m)\/m)**(-10) assuming m is positive.\nAnswer: m**(7384\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24 + (-742)\/28)*8\/(-5). Suppose 0 = -2*u - 0*u + 8. Let b be (u\/(-2))\/((-4)\/6). Solve 4*a - 4*s = -20, 2*s = -x*a + 1 - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, t: 1, c: 1, p: 1}. What is prob of sequence qcpt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358169 is divided by 302.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 731555*r*s**6 - 21*r*s**4 + 531*r*s**2 - 3*r*s - r + 2596*s wrt s.\nAnswer: 87786600*r*s**3 - 504*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1050, -2160, -3424, -4836, -6390, -8080?\n\"Answer: x**3 - 83*x**2 - 868*x - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 divided by 160726?\nAnswer: -145\/160726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.016, -0.06, 0.4, -3, 2, 0.08, 113?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = -3*x, -9*x = -12*x - 4*k - 24. Let l = 3 + -3.2. Let o = -0.1 - l. What is the nearest to 0.2 in o, 3\/2, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 8*y**3\/3 + 100*y. Let b(h) = 7*h. Determine n(b(l)).\nAnswer: 112*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 9, 23, 53, 105, 185, 299?\n\"Answer: r**3 - r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.018149 - 0.0184. What is i rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1041, -1141, -1265, -1425, -1633?\n\"Answer: -2*u**3 - 86*u - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 8 (b) -27 (c) 2\/13 (d) -0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 3, g: 3, h: 1, j: 1}. What is prob of sequence gk?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6394, 6278, 5828, 4834, 3086?\n\"Answer: -35*x**3 + 43*x**2 + 6386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/70 + y**6\/8 + 3*y**5\/5 - 19*y**4\/2 + 40*y**3 - 2*y**2 + 10*y + 3. Find g, given that f(g) = 0.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1655 and 5296?\nAnswer: 26480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3948\/364 - 2\/(-13) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from gvxagzx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/231729?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 1. Let y be m(-2). Suppose -2*n - 15 = c, 0 = -3*n - c - 23 + y. Let a(d) = -2*d - 4*d + 4*d - 2. Give a(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvql when four letters picked without replacement from {l: 1, v: 5, q: 2, w: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5017 + 15049\/3. Which is the closest to l? (a) -3 (b) -1\/279 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 29 = 5*t - 2*l, 5*t = 2*l + 26. Solve -4 = -t*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/37992 and 39\/64.\nAnswer: 303936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59011\/2 - 29457. What is the common denominator of m and (-202)\/8 - 1\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 59*p + 2*p**4 + p**2 - 130*p + 137*p in the form f + a*p**2 + r*p**4 + w*p**3 + o*p and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*l + 2*l, -5*l - 9 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4\/3, 3295, -2, -0.4 in descending order.\nAnswer: 3295, 4\/3, -0.4, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 17 = -5*d - 5, 3*f = 3*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + 229. Let c = -4436058.820119 + 4436342.82. Let q = c - a. Round q to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 42*u**2 + 3*u**3 + 1 - 35*u**2 + u**4 in the form h + n*u**3 + g*u**4 + l*u**2 + o*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = j. Suppose -3*i + g - 3*g = -15, j*i - 15 = g. Suppose -16 - 59 = -i*u. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 5*w**2 - 3*w - 2. What is the units digit of s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(42\/30) - -1271. Let g = r + -796. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25891, -51730, -77571, -103414?\nAnswer: -129259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 20*t**2 + 20*t - 1. Suppose 13*g - 8*g - 95 = 0. Let x be z(g). Suppose 604 = -x*f + 22*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kffc when four letters picked without replacement from ffqcfkccfkkfk?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08303 + -0.08306981. What is t rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -13*o + 6*o. Let b be o*8*(-5 - -4). Let w(m) = m**2 - 10*m + 16. Let r be w(b). Solve r = -3*y + 2*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 11 (c) 1\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1148 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 133. Calculate f(25).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202311321 (base 4) in base 10?\nAnswer: -929145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3570 divided by 2?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3820.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 12, e: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1410224 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*z. Suppose z*q - 5 = 3*o + 26, -q - 3*o - 11 = 0. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + i. Let d(j) = 3*j**3 - 3*j**2 - 3*j - 2. Let o be d(-1). Let l(t) = -4*t - 21. Let s be l(o). Determine g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 2. Suppose -3*k + u = -5 + 23, 5*k + 4*u + 30 = 0. Calculate the remainder when (-55)\/44*(-2064)\/60 is divided by w(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/2707 or -2\/3?\nAnswer: -28\/2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115313 - 115310. Factor -25\/3*o + 5\/3*o**2 + 5\/3*o**u + 5.\nAnswer: 5*(o - 1)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b + 70*b + 5*w = -4732, -4756 = -3*b - w. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -273*q + 14195. Let m be s(52). What is the fourth biggest value in m, 0.02, 1, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 21 = 3*t + 8*g, t + 26243*g - 26252*g = 39 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o**3 + 9*o**2 + 3. Let d(i) = -83*i**3 + 44*i**2 - 3*i + 16. Give 2*d(k) - 11*p(k).\nAnswer: -k**3 - 11*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/18 and (485\/582)\/((-16)\/(-11)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1030 + -930. What is the remainder when p is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 3*a - 3*a)*(-10 - 2*a + 10 + (-10 - 2 + 17)*(-3*a + 2*a + 3*a))*(-3*a + 5*a + 0*a) to the form t*a**2 + m*a**3 + q*a + x and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/(-42))\/(-13))\/((-1)\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 194*v + 19*v**2 - 21*v**2 + 5*v**2 - 2*v**3 to the form y*v**2 + u + w*v + d*v**3 and give w.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 2, m: 2, p: 2}. What is prob of picking 1 e, 1 p, and 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 1261 + 1535. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:11 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 - 2*d**2 - 7*d. Let c be 20\/16*(2 + 2). Calculate y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 2 (b) 5 (c) -75 (d) 0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135.0028 + -0.0028. Let g = v - 135.1. Let l = 253\/6 + -42. Which is the closest to g? (a) -0.2 (b) 11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 66 = 22. What is the lowest common multiple of l and 62?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/340 and 1*-7 + (-6237)\/(-1056).\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3*12974\/26. Let d = 6687 + r. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:52 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a - 27. Let j be i(5). Let b(d) = 6*d. Let u be b(-3). Let h be (-1292)\/u + (-6)\/(-27). Calculate the highest common divisor of h and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose 4 = r - 0. Suppose -20 = -r*y + u. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 322*j**2. Let r(v) be the first derivative of -v**5\/60 - 41*v**2\/2 - 270. Let y(t) be the second derivative of r(t). Determine a(y(s)).\nAnswer: 322*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 301332.\nAnswer: 1\/50222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -166*v + 18. Let w(g) = 165*g - 18. Let o(c) = -3*b(c) - 2*w(c). Find the first derivative of o(u) wrt u.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 5) to base 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3213*b + 51039. Give p(-16).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-60))\/(4\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000000 + -1?\nAnswer: 1001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 12*x**2 + 34*x - 4. Let u(m) = -2*m**3 + 8*m**2 - 35*m + 5. Let t(a) = -6*k(a) - 5*u(a). Give t(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 38*x - 21 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56547039?\nAnswer: 3, 107, 176159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -18*c**2. Let l be v(-3). Let x be (l\/(-4))\/((-2)\/(-4)). Suppose 3*p = 9 + x. What is p rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -11 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*n + 35, 10 + 15 = -3*n + r. Let z = 1 - n. Let x be -1*(3 + 8)*-7. Calculate the greatest common divisor of z and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*p - 150 = -167*p. Let v be (5\/p*-8)\/((-30)\/9). Which is the smallest value? (a) 0.5 (b) -0.1 (c) v (d) -8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 14*i + 27. Let b be f(-11). Let t(s) = -5*s**3 + 3*s**2 - 4*s + 9. What are the prime factors of t(b)?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125771 is divided by 12576?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 2*q - 2*q + (q + 0*q + 0*q - 2*q - q + q + (-2 + 2 - 2*q)*(-2 - 2 + 6) - 13*q + 2*q + 0*q)*(-40 + 24 + 30) to g + m*q and give m.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -5*c + 81. Let l be (-608)\/c + (-6)\/(-33). Suppose -l = 2*s - 3*s. 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: In base 11, what is 3850 - -751?\nAnswer: 44a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c8653 (base 16) to base 9.\nAnswer: 12361743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -231?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*j - 0*v + 20, 2*j + 5*v = -4. Suppose 5*q - j = q. Let r be 11 - q\/(0 - -2). Solve 0 = 2*n - 2*l - 10, 2*l + r = n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - u = u - 314, -1204 = -4*z + 5*u. Suppose -z = 4*q + 102. Let n = -14 - q. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (687 + 0 - 0)*(-6)\/9. Let c = -260 - n. Let d = c - 134. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3\/2 + k**2 + k. Let a be (-230)\/(-30)*(-420)\/1610. Determine c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -206. Sort 2, p, 0, -4.\nAnswer: -4, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/3, -467, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101272, 101274, 101276?\nAnswer: 101278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*v + 117 = -209*v - 19 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 3)\/4 + 3. Suppose 5*o = q*o + 3885. Suppose o = 3*c + 458. Calculate the greatest common divisor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4329 * 5.572\nAnswer: -2.4121188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14 - k**3 + 0*k**3 - 2*k + 20*k**2 - 6*k - 31*k**2. What are the prime factors of h(-11)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**2 + 761. Let l(w) = 14*w. Determine l(f(q)).\nAnswer: 210*q**2 + 10654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v - 1. Let b(h) = 81*h**4 + 6*h**3 + h**2 - 8*h - 2. Let d(j) = -b(j) - 6*o(j). What is the second derivative of d(z) wrt z?\nAnswer: -972*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 - (-37)\/(-13). Suppose 10*f - 5*f - 5*z = -15, 3*f + 15 = z. What is the smallest value in -6\/7, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -3*z, -4*f - 17 = z - 1. Suppose z = 2*k - 5*k. Suppose 4*s = -2*i + 100 + 28, k = 4*i. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -16*a + 4. Suppose 2*m = -3*s + 10, 0 = -m + 4*m - 6. Suppose 6*b = s*b - 8. Is 12 a factor of h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1962 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10440 - 10439.9. Which is the nearest to u? (a) 0.011 (b) 0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.194t to grams.\nAnswer: 7194000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8817*v**2 + 6285*v**2 - 9877*v**2.\nAnswer: -12409*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 6:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 69*x + 95. What is t(24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Suppose -v*j + 0*j - 5 = -o, 2*o + 2*j - 34 = 0. Calculate the remainder when 72 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 2*l + 671 = 0. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17181123 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 2. Let b be f(-2). Suppose 2*x = -2*p + 14, -3*p = b*x - 4*p - 28. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21 (b) 0.2 (c) 3\/7 (d) -1\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/((-144)\/(-12)) + 78\/2. What is the highest common divisor of 265 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = 4*o - 8*t, -t = -2*o - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 21. What is the units digit of m(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*y + 17 = 2*m, m = 2*y + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1)*(-1 - 0). Let n(k) = 0*k + 0*k - 5*k**2. Let h(q) = -q + 1. Let c(z) = h(z) - n(z). Give c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*n - 35 = -0*z, 3*z - 4*n - 21 = 0. Let j(u) = u**3 - 5*u**2 + 10*u + 14. Let d be j(z). Let c = 274 - d. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262104 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -39, 3, 1 in increasing order.\nAnswer: -39, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16158013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 567557909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = 3*s, 1 = -2*s + 3. Let q be 100\/((-16)\/(-4)) - i. Suppose 3*c + c + 8 = 0, -5*c - q = -z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 60 = -49*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 211 - 4b?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 7, 120, 2, -2 in descending order.\nAnswer: 120, 11, 7, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -644 - -643. What is the biggest value in -5, k, 2\/23, -0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 78. Suppose -u + 148 = -k*b, -6*b + 5*b = u - 123. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 13*z - 14334. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 29*t - 134. Give a(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6*w**2 - 292*l**4*w**2 + 1492*l**2*w**2 + 2*l**2 wrt l?\nAnswer: 360*l**3*w**2 - 7008*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1394 and 24786?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10912 and 1825280?\nAnswer: 20078080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 4*i + 7. Let m be 6 + (-4 - 4\/(-2)). Suppose -3*l - 27 = -m*w, 7*l + 2*w = 3*l - 14. Let g be x(l). Solve 3 = -a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -108*w. Let m(f) = -4204*f**2. Give m(j(n)).\nAnswer: -49035456*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.162 - -0.038. Let y = -83.25 + 83.2. What is the second biggest value in x, -1\/3, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**5\/5 + 13*f**3\/3 - 40*f**2 + 136. Find the second derivative of h(r) wrt r.\nAnswer: 12*r**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q**3 + 2*q**2 + 748*q - 3811. Determine m(5).\nAnswer: 2604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 28*p - 1347 - 88 = -20*p for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 14*r - 106. Determine n(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + (4 + -3 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 161328*b**2 - 2419661*b + 5484642.\nAnswer: -(b - 2)*(b + 17)*(b + 161313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.05 - -0.05. Let q be ((-32)\/28 - -1)\/((-7)\/(-14)). Which is the closest to o? (a) 1\/5 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttllu. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*-5*(1 + sqrt(2736)).\nAnswer: 25 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.74 + -1.5. Sort 3, -5, r in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -5*a - 5*k, -297 + 274 = 3*a - 5*k + 116 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205393505 a multiple of 3351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2468, 5273, 8466, 12095, 16208, 20853, 26078, 31931?\nAnswer: 38460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -12?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.8 in 3, -2\/17, -2, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + 0 + (-10 - (18 - 12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c - 4*c**4 - 2*c**3 + (-375 + 375 - 6*c**4)*(4 + 1 + 0).\nAnswer: -34*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7517 - 5?\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:58 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78113.51141 - -0.1.\nAnswer: 78113.61141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3368 (base 10) to base 7.\nAnswer: -12551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -44. Suppose -4*u - 36 = -6*w + 2*w, -2*w - 4*u = -30. Calculate the remainder when x is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -28*f**3 - 55*f**2 + 107*f + 145. Let w(h) be the first derivative of r(h). Differentiate w(z) with respect to z.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 256*v - 6. Let l(u) = -5633*u + 131. Determine 6*l(o) + 131*p(o).\nAnswer: -262*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:48 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**2 - 23*z**2 - 21*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 208. Suppose k = -3*v + 5*g + 1315 - 235, -3*v - 2*g + 1101 = 0. What are the prime factors of v?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035166083 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 + 4*j - 1. Let u be k(5). Let l = 0 + u. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194696.\nAnswer: 2, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12144 and 2058408.\nAnswer: 4116816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 16*w - 45 = 0. Let z be ((-54)\/(-8))\/((-15)\/(-640)). What is the greatest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7491 and 16962.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 12*z**2\/5 - z\/5 + 12\/5.\nAnswer: (z - 12)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:41 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 + 4 - -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 3*t**2 - t - 1. Let y be d(-3). Let p be 2 + 0\/(0 + -1). Solve 3*v = -p*w - 7, 0 = 4*w + 4*v - y + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 51263 = -2*y - 19111, -4*y = -t - 64282. List the prime factors of y.\nAnswer: 3, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in -35, 6, -0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - 531\/(-27))*201\/2.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52, -91, -156, -259, -412, -627?\n\"Answer: -2*d**3 - d**2 - 22*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-12)\/30. Suppose 4*u - 25 - 13 = -2*b, -4*b + 2*u + 86 = p. Let m = -12 + b. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c - 3. Let g be i(4). Suppose r - g*r + 80 = 0. Suppose -5*o + 0*o = -r. Solve o + 1 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 38*a - 52*a + 0 - 1. Let p be t(-1). Let l = p + -12. Solve -i - l = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(117))**2 + sqrt(117)*-2 + -2 + 6*(5 + -1*sqrt(117) + sqrt(117) - sqrt(117) - sqrt(117)).\nAnswer: -48*sqrt(13) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10*p - 12. Let r be i(-6). Find the second derivative of -497 + 497 + r*o**2 - 16*o wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45746*a**3*t**4 + 54*a**3 + 9657*a**2 with respect to t.\nAnswer: -182984*a**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9171, 18148, 27123, 36096, 45067, 54036?\n\"Answer: -a**2 + 8980*a + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Is (y + -7)*(-46635)\/75 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612767 and 2929.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:15 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (814 - 912) + 20 + 3 + 2\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44991751 and 35.\nAnswer: -1574711285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002796741 to 6 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100.75 + -519. Let b = -422 - r. What is b rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) 73 (d) -2 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2 + 558*b - 25080 = 0?\nAnswer: 76, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 182 = 16*w. Calculate the least common multiple of w and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i + 564 + 486 = 9*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*sqrt(42)\/sqrt(6)*-5*-4)**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/m**(-6\/5)*m\/(m\/m**8)*m*m\/(m**(2\/5)*m) assuming m is positive.\nAnswer: m**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-40)*250\/(-900)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 6. Solve d = -m*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0573 and 1218014.\nAnswer: 1218013.9427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 1. Let q(g) = 4*g + 2. Suppose 3*r + 12 = -2*h - 2*r, 5*r + 8 = -3*h. Suppose -2*s + 2 - h = 0. Calculate s*q(f) - 2*m(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/43068241 and 74\/27042849.\nAnswer: 1162842507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + (-12)\/54. Is (-1 + s)\/((-4)\/76) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -2. Suppose -i*m + 6 = -2*o - 2, -4*m + 9 = 3*o. Suppose m*a = 5*a. Solve -5*j = -a*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 14*w - 13. Let h be b(9). Which is greater: h or -50?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -3. Let q = 11 - v. Suppose 71*i = 652 + 1194. Solve -t - q = -2*d, -4*t - i = d - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 559*v + 618*v + 7)*(8*v**2 - 7*v**2 - 3*v**2) to the form i*v**3 + g*v + q + c*v**2 and give i.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 3, u: 5, c: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o - 147. Let g be a(-17). What is the tens digit of (-210 + 1 + -1)*(-23)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26884*g**3 + 673210*g**2.\nAnswer: 161304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 74 = 5*z, -4*w - 4*z = -5*w + 37. Calculate the remainder when 182 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211 (base 6) in base 7?\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/3 - 56*m**3\/3 - 2*m**2 + 2520*m + 7128 = 0.\nAnswer: -18, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-8)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 2 - 8. Suppose 4 = -4*h, 10 = 5*l - 2*h + 3. Suppose 2*f + 2 = -w + l, -5 = 5*w + 4*f. Is w at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 11, r: 2, p: 1}. Give prob of sequence xf.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/60 + z**4\/12 - 2*z**3 - 2. Let v(h) be the third derivative of r(h). Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032 - 11332?\nAnswer: -30030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:48 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 46. Suppose u*p + 4 = a, 0 = 3*p + 2*a + 2*a - 16. Solve -6*r - 30 + p = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:15 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*j + 4*x + 2, 2*j + x = 13. Suppose 0 = j*p - 6*p + 10. Solve 11 = 4*r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - 387. Suppose 0 = 18*s - h*s - 24. Let v(x) = -x**3 + 12*x**2 + 2*x - 11. Calculate v(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -1, 0.3, -0.1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*h + 405 - 75 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from ryiieiyeeeeiirireise?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -9\/10*c**6 - 1\/2*c**3 + 7*c**2 + 0*c**5 + 0*c**4 + 28*c + 0. Find the second derivative of a(x) wrt x.\nAnswer: -324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363559.10013 + -363561. Let d = -4310 - -4311.9. Let z = n + d. What is z rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:32 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z + 1. Let v = -61 + 64. Let k be 15 + (v - (-2 + 6)). Let a(t) = -30*t + 16*t + k*t - 2*t**2. What is a(p(f))?\nAnswer: -200*f**2 - 40*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/2333 + 2323\/11665. Let o(z) be the first derivative of 5 + 9\/10*z**2 + 0*z - h*z**3. Factor o(s).\nAnswer: -3*s*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 8*y**2 + 4. What is the remainder when 43 is divided by t(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -899 or 67?\nAnswer: -899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 k, and 1 f when four letters picked without replacement from {l: 1, p: 2, f: 3, k: 6, q: 2}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23*b**2. Let p(n) be the third derivative of -5*n**4\/12 + 9*n**2 + 4*n. Give c(p(q)).\nAnswer: 2300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 146, 0.7, -2\/13, -0.1, 0.3?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -200110?\nAnswer: -200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, 0, -4, 287.\nAnswer: -4, -1, 0, 1, 5, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 - 14482544*x + 57930192 = 0.\nAnswer: -14482548, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*v + 4 = 2*x, -3*x = -2*v - 17. Suppose -4*z - 4 = 0, 4*z - 174 - 1241 = -3*p. Suppose -13 = -4*b + x, -p = -g + 3*b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26502, 41444, 56386?\nAnswer: 71328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7458272 plus 61275?\nAnswer: 61292.7458272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265937267*y**3 + 184660463 wrt y?\nAnswer: -797811801*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*l - 61*l + 26*l)*(6*l + 0*l - 5*l)*(4 - 4 - 2 + (-2 + 0 + 4)*(2 + 4 - 4) - 2 - 3 + 3 + 1 - 4 + 5) to f*l + i*l**2 + u and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/35*715\/(-65).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17314, -16822, -16330, -15838, -15346, -14854?\n\"Answer: 492*d - 17806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 12 - 62. Let w(s) = -s**3 - 10*s**2 - 4*s + 10. Let f be w(n). Suppose 2*u = -4*u + 120. What is the greatest common divisor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 times 5\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 10\/7 (b) 2 (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose -o = 4*n - 1, o - 4*n + n - 1 = 0. Sort 0, j, o in decreasing order.\nAnswer: j, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1408 + -2829. Let j = o + 1420.9998993. Round j to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 + 172 = 3*r. Let v = 167 - r. Suppose 18*t - v = -0*t. Solve -n = f - 3 + t, -2*f - 3*n + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 49 = 2*x. Let k = x + 39. Let d be 21\/36 - (3\/k)\/(-1). Which is bigger: 8\/9 or d?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1*(-2)\/(-14)). What is the remainder when 53 is divided by x\/(-1 - 2\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 1, m: 1, v: 2}. Give prob of sequence avpv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -80*x + 1760. Let l be q(22). Solve 5*j = 2*h + 24, 5*h + 10 + l = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 387, 875, 1567, 2469, 3587, 4927, 6495?\n\"Answer: g**3 + 93*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.0778169 (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 8. Let r(f) = -3*f**3 - 2*f**2 - 2*f - 1. Calculate the smallest common multiple of r(-1) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-18*(-20)\/120?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73216 divided by -4.\nAnswer: 18304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12654 and 2\/293.\nAnswer: 3707622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -0.46057 (c) 6\/11 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4371194352 and -118.\nAnswer: -4371194470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*(5 + 0). Let c be t\/6 + 7\/3. Suppose 3*v + 2*a = -c*a + 49, 3*v - a - 29 = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1852377 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by 428\nAnswer: -143\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25b - -259?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yypstpyttp. What is prob of picking 1 t, 1 y, 1 s, and 1 p?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4338 = 8*a + 1514. Suppose 3*f - 526 - a = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124435850543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*z - 182*z - 1757 = 0. Calculate the remainder when z is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/20388 and -115\/61164.\nAnswer: 61164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 899233 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -766 divided by -2\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**2 + 112*b - 19. Let k be a(11). Solve k*w - 2 = -11*g + 13*g, -4*w - 5*g = -18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h. Suppose h = 5*o - 6 - 9. Calculate the highest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. What is the third derivative of 0*k + 0*k**l + 3*k**2 - 2*k**3 + 0*k wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -483, -551, -641, -747, -863, -983, -1101?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 5) to base 12\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96242, -192481, -288720, -384959?\nAnswer: -481198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/9 and -25\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -608 - 376. Suppose -2*r - r + m = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*m - 4*v, 5*m + 8*v = 5*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 2, a: 4, h: 1}. Give prob of sequence aahn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 605, 0.3, 0.03, -9, 0.4 in decreasing order.\nAnswer: 605, 2, 0.4, 0.3, 0.03, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/60 - p**4\/6 + p**3\/6 + p**2. Let h(y) be the first derivative of y**2 + 39*y + 23. Let x be h(-18). Determine u(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5502, -5500, -5498, -5496, -5494, -5492?\nAnswer: -5490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 251136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/6 + 0)*48. Suppose 10*x - 5*x = 20. Suppose 45 = -5*s - 3*f + l, 2*s = -x*f + 22. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.773 + 98283?\nAnswer: 98338.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4237 - -8475\/2. Sort 3, -2\/13, 5, g in increasing order.\nAnswer: -2\/13, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 4. Suppose -y + 1 + g = 0. Let a(c) = -6*c - y*c + 2*c - 3*c. Let w(r) = r. Calculate w(a(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6076046.36091 + -9.\nAnswer: 6076037.36091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2370, -2371, -2372, -2373, -2374?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/8? (a) -2 (b) 0.2 (c) -91596 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746746?\nAnswer: 2, 7, 11, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 14010*u**4 + 112120*u**3 + 336400*u**2 + 448560*u + 224288.\nAnswer: -(u - 14018)*(u + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1 - 28*a - 5*a + 32*a. Calculate s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 1395*b - 1 - 2333*b as w + v*b and give v.\nAnswer: -3728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4 + 5 - 15*y - 3 + 3. Let v be m(-1). Let g = 2 + v. Calculate the smallest common multiple of 9 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 491 + 530 = 0. What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 66. Suppose 0*s = -3*s + b. Let p = -13 + s. Put p, 4, 3 in decreasing order.\nAnswer: p, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/4 + (370\/(-600) - (-4)\/(-30)). Solve o*r = 3*i + 5, 73*r + 5*i = 74*r - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 0 + 0\/(-2). Let u(p) be the first derivative of -p**3\/3 - 9*p**2\/2 - 5*p + 4. What is the remainder when 24 is divided by u(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s + 3965. Give z(65).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*m**2*y**3 + 20*c*m**2 + 9*c*m*y - 2*m**2*y**3 - 44*y**3 wrt c?\nAnswer: -2*m**2*y**3 + 20*m**2 + 9*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-36)\/15)\/6)\/((-1)\/5). Solve 2*i + 2 = -o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177911 take away 16.6813?\nAnswer: -16.859211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56894?\nAnswer: 2, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(153) - -5*-1*sqrt(153))\/(-6*sqrt(9)*1 - sqrt(9))*2)**2)*-6 + 5)*-1.\nAnswer: 5989\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 90047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -1, -91 in decreasing order.\nAnswer: -2\/27, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 1. What is the tens digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63715316 to the nearest integer?\nAnswer: 7982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/((-1215)\/1134)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 929*c**7\/21 + 4175*c**3\/6 + 626*c**2 + 2*c. Differentiate t(q) wrt q.\nAnswer: 37160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -448. Suppose 0 = 4*d - 2*a + 2562, 0 = 4*d - 4*a - t + 2864. Round d to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121 - 99 - 122) + 96.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4) + 2)*(-19)\/(57\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = -5*a + 27, -2*a - t = -13. Let w(h) = 8*h - a + 3 + 3. Let l(m) = -m**2. What is w(l(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - i - 13 = 0, 2*h - 2 = -3*i - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*x = -g - 27, 3*g + 3*x + 3 = 0. Let w = g - -6. Find the third derivative of -w*j**2 + j**5 + 2*j**5 - 2*j**5 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 - 1668284*b**3 + 1391584084043*b**2 + 2783173172940*b + 2783174841225\/2 = 0 for b.\nAnswer: -1, 1668285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -145*h. Let c(f) = 52*f**2 - 2. Give c(u(j)).\nAnswer: 1093300*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6794, 0.1, 0.221 in decreasing order.\nAnswer: 6794, 0.221, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 41 = 5*f + 5*m, 20 = -4*m. Is f\/(4\/(-35)) + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 10*s + 6. Give j(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**4 - 3*a**3 - a**2 - a + 2. Let m(o) = 13*o**4 - 13*o**3 - 4*o**2 - 5*o + 9. Let y(b) = -18*g(b) + 4*m(b). Factor y(r).\nAnswer: -2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 6, y: 3, p: 4}. What is prob of sequence yp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/20869, -5, 283 in descending order.\nAnswer: 283, -28\/20869, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 7, 2*j - 4*z + 13 - 129 = 0. What is the highest common factor of 1206 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 = 4*b + 245 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 17 + 13. Suppose 4*g - 2*q + 25 = 5, -4*g - t = 3*q. Let w(f) = 5*f**2 + 4*f - 1. List the prime factors of w(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287683404 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: 1 * -0.36881082\nAnswer: -0.36881082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let g be -3 - 1\/((-369)\/1002). Let w = -2\/41 + g. What is the second smallest value in z, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 19)*(-274)\/8. Let h = p + -297. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -y - 4*k, -45*y = -47*y + 2*k - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.2 (c) 1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/3)*z)\/z**(-8)*z\/(z\/(z**0*z*z))*z\/(z**(-2\/11)*z*z) assuming z is positive.\nAnswer: z**(380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)\/k)**(3\/14))**(-46) assuming k is positive.\nAnswer: k**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let s be y(-6). Suppose 0 = 3*h - f - s, 0 = -3*h - f + 9 + 3. Let t = h - 0. Solve -8*d + 15 = -t*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqgqhgqqhvhhqeq. Give prob of sequence eg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2024826 and 1353?\nAnswer: 22273086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-210)\/11790)*(-21)\/(-63)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 584\/(-12)*(-2)\/688*-178. Let u = 58\/43 + t. What is the common denominator of u and 16\/37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -2\/25, -10?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 3 - 3 + (5*n**2 - 5*n**2 + 2*n**2)*(2 - 3 - 2) + 4*n**2 - 3*n**2 - 3*n**2 + (0 + 2*n + 0)*(-n - n + n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-864)\/(-1152))\/(1\/(-4)*9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3\/8))\/q)\/q)\/((q*q**(2\/5))\/q)*(q*(q*q*q**5)\/q*q)\/(q*q**6)*((q**3*q)\/(q*(q**(-2\/7)*q)\/q))**(2\/103) assuming q is positive.\nAnswer: q**(-20511\/28840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(2496) - sqrt(2496))\/(-3*1*sqrt(147))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - -30. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 166 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145142 + -4?\nAnswer: 145134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n - 2*n**3 + (-115*n - 72*n - 47*n)*(-3*n**2 - 1 + 1) in the form t*n + g*n**2 + j + w*n**3 and give w.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18243900 and 64075?\nAnswer: 200682900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215068 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 86?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.4 + -107.4. Which is the closest to -0.2? (a) m (b) 7\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {q: 3, c: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + 24\/10. Let a(x) = -8*x**2 + 5*x**d - 4*x**2 - 12*x**2. Let s(y) be the first derivative of y**3\/3 - 1919. Calculate a(s(h)).\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**5*p**2 - 3*m**4*p**2 + 12*m*p - m + p**2 wrt m.\nAnswer: 200*m**3*p**2 - 36*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(162)*3*6 + -3 + 1 + sqrt(162) + (sqrt(162) - (-2 + sqrt(162))*-3))*3)**2*-1.\nAnswer: -2451474 + 53136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2276.\nAnswer: 1\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 75230568.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(5 + 7) - (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*l + 211*l**2 + 1224 - 4*l**4 - 523*l**2 - 136*l**3 - 130*l**2 - 76*l**3 + 54*l**2 = 0.\nAnswer: -51, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -0.9. Let u = 2.3 + -2.6. Which is the smallest value? (a) u (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121 + 139 + 125 + 23 + 204*v**4 + 59 wrt v.\nAnswer: 816*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6176723 millimeters?\nAnswer: 0.0000006176723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 14, p: 1, u: 1, n: 2, x: 1}. Give prob of picking 1 p, 1 n, and 2 m.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z - 36 = 4*d, -4*d = -3*z + 22. Let q = d + 9. Factor -42*l + 82*l - 4*l**q - l**3 - 44*l.\nAnswer: -l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155 is divided by 3811?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c - 117 = -17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -900514, -901016, -901520, -902026, -902534, -903044?\n\"Answer: -b**2 - 499*b - 900014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 10 = -10*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 20*n**3 + 11*n**2 - 14*n + 19. Let g(f) = -11*f**3 - 6*f**2 + 8*f - 8. Let j(a) = 7*g(a) + 4*m(a). Let d(o) = -o**3. Determine -2*d(c) - j(c).\nAnswer: -c**3 - 2*c**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from {c: 2, e: 2, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2386931*s - 3 + 3.\nAnswer: -2386931*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4958784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t + 368706 + 111454 = 0. Which is smaller: -6005 or t?\nAnswer: -6005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*q + 1 - 67*q - 11*q to the form i*q + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4014720 divided by 24480.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*u**3 - 3350*u**2 + 214*u**3 + 5*u + 3368*u**2 to the form g*u + a*u**2 + n*u**3 + z and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/42 and 13\/1420983?\nAnswer: 19893762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*h - 8 = 459*h, -3 = -g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -30, 29, 3, -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0 + 0)*(5 - 1 - 2)*(2 + t**2 - 2) - 4*t**3 + 0*t**2 + 0*t**2.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x + 12. Let l be r(6). Let p = -37 - -38. Is 6 a factor of p\/(-3 - 182\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + 17*m - 11. Let w(r) = r**3 + 6*r - 4. Let a(j) = 23*j + 1. Let v be a(1). Let z = -7 + v. Calculate z*w(p) - 6*s(p).\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -453 + 455. Let h = -9 + 15. Solve -d = h*b + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqpq when four letters picked without replacement from {q: 3, p: 6, v: 3, s: 6}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + ((7 - 12) + 9 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 9*y**2 - 13*y - 3. Let a be x(7). Let j(o) = -o**2 + 3*o + 39. Let w be j(-6). Put -4, w, a in descending order.\nAnswer: a, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -125.922?\nAnswer: -125.922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131\/3 + -1709\/39. Which is the third biggest value? (a) 3\/52 (b) -3 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 11*y + 2436. What is the derivative of -y*m**4 + 102 - 221*m**4 + 346*m**4 + 47 wrt m?\nAnswer: -312*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*j + 3*z, 2*j + 3 = 16*z - 21*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*m + 102. Suppose 5*u + 2 = m. Sort 5, u, -5 in ascending order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33.933607792 and 1.\nAnswer: 34.933607792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-2)\/(-16))\/1). Let v be (9 - (-4)\/(-2)) + (-2 - -2). Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3709 + 81695\/22. Let r = -3 + -211. Find the common denominator of u and 4 - (-4 + r\/(-32)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b + 3. Let q be z(5). Let g = q - 9. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 2536*q. Let l(u) = 7*u**2. Calculate v(l(p)).\nAnswer: -98*p**4 - 17752*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40265*j - 891 + 434 + 457)*(-4 - 1 + 4).\nAnswer: 40265*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9424114 and 78085516?\nAnswer: 546598612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 2*m - 3. Suppose -59*z + 1308 = -10*z - 15. What is the least common multiple of z and v(5)?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-1)\/2 + 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -1 (c) -2 (d) -0.046 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -52*r + 500. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 - 5*n - 9. Let u(z) = -11*z**2 + 8*z + 14. Let i(r) = 8*f(r) + 5*u(r). Let j be i(-2). Let c(x) = -x**3 + x**2 + 4*x - 3. What is c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16187118 or 16187138?\nAnswer: 16187138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.7 + -141. Let z = 15.7 + t. What is the closest to 1\/2 in -3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 313 - 77 - 62 - a.\nAnswer: 7*a**2 - a - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.2, -6\/305?\nAnswer: -6\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -971.074 + 971. Is 1\/6 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321.9732 - 322. Round v to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxoxoxoxx. Give prob of sequence xoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -4*q - 0, -4*q = -3*a. Put q, -2, 1, -61 in descending order.\nAnswer: 1, -2, q, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:57 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 29.4. Let l = x - 0.4. Let m = 460 - 460.1. Which is the nearest to -0.1? (a) l (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42439836.\nAnswer: 2, 3, 3536653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1569*d**5 + 1990*d wrt d.\nAnswer: -31380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23427 and 1096.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 20000?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1*-4)\/(50\/(-5))*241230\/(-2244)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 36 = 6*f. Let y(t) be the first derivative of t**3\/3 + 3*t**2 - t - 2. Calculate y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 4*o**2 + 2*o + 1. Let q(w) = -6*w**2 - 5*w**2 - w**3 + 9*w + 3*w**2 - 9. Let n be q(-9). Let s = 12 + n. Give f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 4*a + 0*a. Let t(n) = -n**2 - n + 1. Let i = -2 - -5. Give i*r(w) + 2*t(w).\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 + 4*o - 1. Let j(i) = -4*i**3 + i**2. Let r be j(1). Give y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 7*k**3\/3 + 2*k**2 - 8*k - 2. Let l be d(7). Differentiate -l*z + z**3 + 20*z - 7 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2150)\/(-75))\/(-43))\/((-4)\/114)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 4*h**2 + h + 4. Let b be f(3). Let w = b + -19. Let u(p) = 11*p**2 - 7. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -384?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h - 2*h. Let y be (1 - 1)\/(-4 - 0). Solve -h*b + 4 = -y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2754 = 2789 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-24) - ((-27)\/(-8))\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -3 + -2 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 8*l = 17*l + 54. Let m = -0.02 - 2.98. Which is the closest to l? (a) 3 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -u. Suppose u*j = -j + 6. Let i be 1\/4 - (-79)\/4. Solve -j*k = -6*k + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/5, 5, 14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 121*b**3 + 302*b**2 + 87*b. Differentiate s(w) wrt w.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 443.8, -0.5, 0.19 in decreasing order.\nAnswer: 443.8, 0.19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5, 0 = 2*l - 0*l - a + 1. Let d be (7 + -8)*1*-6. Suppose l = q - 11 - d. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 times -0.1?\nAnswer: -107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 124.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 140. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209832 and 395304.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 13*g**2 + 6*g. Let j be o(12). Let m = j + 106. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 4. Let u be n(2). Suppose 4*t = -0*t + 88. Suppose -u - t = -7*m. Solve r = -r - m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - s = 8, -117*s - 276 = -5*f + 96*s - 209*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/3 - 847*c**4\/3 - 9690*c**3 + 24894324*c**2 + 149654232*c = 0.\nAnswer: -546, -6, 0, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15600 and 15900.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*x + 2 - 1 - x + 1 + (2 - 2*x - 2)*(-2 + 4 - 1) + (-2*x + 2*x - 2*x)*(-2 + 1 + 0)*(4 - 2 - 3).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 9*n**2 + 18*n + 9. Suppose -26 - 73 = -9*c. Let w be f(c). Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1922.99990534 + 1923. Round x to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w - 1315 = 5*q, -3*q = 5*w - 1291. Suppose 0 = 127*g - 114*g - w. What is the greatest common divisor of 190 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + u - 2*u)*(5*u**2 + 0*u**2 - 3*u**2) - u**3 + 0*u**3 + 0*u**3 - 5 + 5 + u**3 + 2561*u - 2561*u + u**3)*(1861*u - 54*u**2 - 1861*u).\nAnswer: 162*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:44 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3040594482 to the nearest integer?\nAnswer: 55142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 434.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 152. Suppose -3*c + u = 2*x, 3*c + 4*x - 13 = 18. Calculate the remainder when 52 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + (1 - -1) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1822485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16148*0.2895\nAnswer: -4674.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 25 (b) -3\/2 (c) 1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/88 and -17\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68968 divided by -1?\nAnswer: -68968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 91, 163, 265, 397?\n\"Answer: 15*l**2 - 3*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 106*a**2 - 1297*a + 42. What is k(-34)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-6.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, 13.\nAnswer: -36, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 8. Let a be (15\/(-3) - -2) + -5. Let b be m(a). Suppose -4 = -2*w, -4*s + b*w - 2*w + 152 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -1671, -3730, -6601, -10284?\nAnswer: -14779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 747 + 1273*f + 2*f**3 - 1273*f - 213 to r*f + g*f**3 + m + v*f**2 and give m.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18985, -0.28, 0, 1\/2 in ascending order.\nAnswer: -0.28, 0, 1\/2, 18985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*g - 16 = 0, 20*g = 4*w + 15*g - 58. What is the remainder when 1703 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*r + 51 = 11, 38 = 2*j + 3*r. Suppose -19*y + 20*y + 7 = n, -4*n = -5*y - 33. Put 5, j, n in descending order.\nAnswer: j, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 + 233 = -30*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4325*y - 868*y + 186678 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -5*k + 385. Suppose -5*u = 4*w - k, 4*w = 2*u + 67 + 31. Let v = 9 + 0. Calculate the remainder when w is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 0.5 (c) -0.5 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2) + 2 + 21. Let g = -1 + f. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/14 + 4\/(140\/15). Suppose -v*y + 91 = -167. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7146.716 millimeters?\nAnswer: 7146716000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-93)\/2)\/(413\/(-28) + (-11 - -27)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78029 and 5870.\nAnswer: -72159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - c + 1. Let r be (1 - 1) + (-1 - -76). Let j = 70 - r. Determine i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 5*k - 37. Let u be a(6). Suppose -u = -0*g - 2*g + f, -3*g + 66 = 3*f. What is the remainder when 117 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 52 - 26 = -24. Put p, -3, -695 in ascending order.\nAnswer: -695, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824519221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + ((-12)\/112)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21269756?\nAnswer: 2, 23, 47, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - (5 + 0)) + -8 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 8 + 12. What is the closest to 0 in -2\/17, a, -1\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = 1. Let p(t) = 17*t - 1. Let z be p(v). What is the greatest common factor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-22) + 9\/(-4). Suppose -g + 15 = -3*x + 2*g, 23 = -3*x + 5*g. Let y = -3 + 2.9. What is the nearest to y in t, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203.04548us to weeks.\nAnswer: 0.0000000019891625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -78 + 306\/8*48\/152\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2*2 - (-6 - -1)). Put x, 2, -66 in descending order.\nAnswer: 2, x, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21389 and 9928598.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13023444 (base 6) to base 9.\nAnswer: 714611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 356, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-2139)\/2728 - (-13 + 12).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 + 54 + 10*h - 112 to n*h + s and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 1 - 1)*((-6 + 4 + 3)*(-1 + 3 - 1) + 0 - 2 - 2 + (1 + 0 - 3)*(1 + 2 - 2)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30. Solve -y - 1 = -o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -27*h + 106. What is u(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 105*n + n**2 + 54*n + 50*n + 32 + 220 to the form a*n + h*n**2 + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -39*q + 66. Let s be h(7). Is -206 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*o - 564*o - 4*i = 32, -5*i = 4*o + 40 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*m + s + 133, -m + 25 = s. Find the first derivative of -23*f**4 + 38*f**4 - 69 + m - 59*f**4 wrt f.\nAnswer: -176*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10313860.\nAnswer: 2, 5, 515693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 20. Suppose j + c*d = -11, -2*d = 5*j - 14 - 3. Solve j*z + 3 = -7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*f + 458, -3*f + 718 + 387 = -5*h. Let x = h + 3806\/17. Let y be 2\/(0 + (4 - 2)). Is y bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-65)*5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x + 0*x + (0 + 0 + 3*x)*(2 - 7 + 2) + 0 + 2*x + 0.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1497 + 2826. Let r = o - 1328.6002. What is r rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = q, 4*y + 5*q - 29 = -2. Let v = -2.1 + 0.1. Which is the biggest value? (a) 0 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 4:13 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 313637911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/6))**37\/(z**(-7)*z**(-1\/6)))**(-46))**36 assuming z is positive.\nAnswer: z**(-83352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9612679 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*n, -2*n - 97 = 14*b - 301. Let w(k) = k**3 + 3*k**2 + 2. Let i be w(-3). Solve -i*u + 6 = -2*m, -5*u + m = -3*m - b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 30 = -3*l - 4*u, -5*u = -4*l + 13. Let b = -3 + 8. What is the remainder when l is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/11 (c) -1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let u(n) = 2*n + 23. Let z(h) = -4*g(h) - u(h). Let t be z(13). Solve -i = -6*i - q - t, -5*q + 25 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 - 5*n**2 - 7*n**2 - 5. Let x(s) = -s**2 - 7. Give 7*i(g) - 5*x(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 0*n - 5 - 5*n**2 + 426*n**3 + 7*n - 840*n**3 + 418*n**3. Let i(f) = -4*f**3 + 4*f**2 - 6*f + 4. What is 7*i(x) + 6*j(x)?\nAnswer: -4*x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 324613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 6*d**2 - 5*d + 6. Let i be n(-5). Let r(p) = -p**3 - p**2 + 2*p + 3. Let q be r(-2). Let u be (-1)\/((1 + 0)\/(-6)). Solve q*k = i*k - u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 1\/4*s**4 - 2*s**3 - 4*s + 5\/2*s**2 - 1. Let n be x(5). What is the third smallest value in 5, 0, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -1) + (3 - -2). Find the third derivative of 2*x**3 - 5*x**3 + x**2 + x**3 + 4*x**g wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. What are the prime factors of 5 - (0\/6)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.002161742024 to five dps.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**2 + 16*t - 13. Let r be o(9). Suppose 0 = -10*g + 267 + r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181317, -6, 5 in descending order.\nAnswer: 5, -6, -181317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 13753 = 6*a - 3*a, 2*a + 9170 = -2*n. Let b be 2*(-2 - a\/6). Suppose 329 = -c - 5*z + 860, 3*c - 2*z = b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.2724mm in kilometers?\nAnswer: 0.0004142724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46110 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 8*a - 8. Let v be i(-7). Let n be 2\/(0 + (-2)\/(-41)). Suppose -s = h - n, -3*s + v = 5*h - 98. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 93*x + 92. Give i(-6).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*((-174)\/30 - -7). Let g(o) = -8*o + 4. Let c(z) = -7*z + 4. Calculate a*g(v) - 7*c(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 36*k**3 + 17*k**2 - 17*k - 6. Let l(s) = -12*s**3 - 6*s**2 + 6*s + 2. Determine 17*l(n) + 6*q(n).\nAnswer: 12*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 5. Let s be z(6). Let k be s\/70*-1*8. Which is the third smallest value? (a) 1\/6 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 912195*w**3 + 644031*w?\nAnswer: 5473170*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18348289?\nAnswer: 18348289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1285, -1287, -1293, -1303, -1317, -1335?\n\"Answer: -2*i**2 + 4*i - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 25 + -20 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6089738 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 + -6)\/(3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*f**3 + 431 + 4*f - 431.\nAnswer: 307*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392312 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3\/2, 11 in descending order.\nAnswer: 11, 3\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 3\/5 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - b + 2*b + 25, -4*b - 10 = -2*a. Let x = 47 + -33. Calculate the remainder when x is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from wwwml?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdq when three letters picked without replacement from dhqjdlt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 348056 divided by -2504\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.003? (a) -479 (b) -15 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*g**2 - 384969*g + 42774.\nAnswer: 3*(g - 14258)*(9*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6343 divide 1405634172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/17692891 and 51\/1244726?\nAnswer: 247700474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*q - 5*q. Let s = q - 6. Solve -v - s - 1 = 2*n, -4*n - v = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 130*j - 27065. Calculate o(208).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 50 - (20 + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-45)*-15 - -1. Let x = 3 + 3. Let v = -3 + x. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -47, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7918976 and 13312?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 1. Let r(w) be the third derivative of w**4\/24 - w**3\/6 + 27*w**2. Let t(n) = m(n) - 6*r(n). Give t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y - 18. Suppose -16 = -12*c + 10*c. Let i be d(c). What is the highest common factor of 57 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 291923 = -23*u - w, 0 = -5*u - 2*w + 729821. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**3 - 2*f**2 + 2*f - 1. Let j be y(1). Let m(d) = d + 112. Let b be m(0). Suppose -2*t + t = -b. What is the greatest common divisor of t and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201 = 3*p + 5*r, 2*p - 5*r = -p + 1211. Let h = -292 + p. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2214800 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-3 - (-5 - (-10)\/16*78)) is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*x - 0*w - 2*w, 3*w = 3*x - 150. Find the second derivative of 3*y - 32*y**2 - 21*y**2 + x*y**2 - 2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 - 2\/7*r**4 + 0*r**2 + 4\/7*r**3 - 4\/7*r.\nAnswer: -2*(r - 1)**3*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1789 - -1808. Solve 16*q + 12 = v*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q - 0*q. Suppose 8*z = q*z + 17500. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 613919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/(-21)*2\/12.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2476.964 + 2472. Let y = 0.036 - s. Which is the third biggest value? (a) -0.2 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(320\/15))\/(3\/(-20)). Let k(j) = -j**3 + 4*j**2 + 5*j + 7. Give k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/13))\/h**(6\/11))**6 assuming h is positive.\nAnswer: h**(192\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -38\/3*f**3 + 115 + 0*f + 127*f**2. Find the second derivative of y(l) wrt l.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -68. Let v(o) = -23*o - 1. Suppose 11*n - 6*n = -5. Calculate the smallest common multiple of d and v(n).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180885 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -2\/3 (b) -3 (c) 2\/3 (d) 3\/2 (e) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 26*v**2\/5 + 104*v\/5 - 24.\nAnswer: 2*(v - 6)*(v - 5)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*v = -10, 7*o - 4*o = -v - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1 + 4 + -4). Let h(y) = -1. Let f(v) = v**2 - 2*v. Let x be -3*(1\/(-2))\/((-24)\/16). Calculate b*f(q) + x*h(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*h*p**3 + 41*d*h*p + 4231*d*p*u + 2*h*p**3 - 4*h*p**2 + 64*h*u + 188*p**2 + 2*u wrt d.\nAnswer: h*p**3 + 41*h*p + 4231*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/98476 and 97\/16898.\nAnswer: 118860532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l*l*l**7*l)**(-29)\/(l**(-1\/6)*l**(-1\/17))**(-22) assuming l is positive.\nAnswer: l**(-25396\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58439a7 + 7?\nAnswer: 58439b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 4, 5 in decreasing order.\nAnswer: 20, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*((-p + 2*p + p)*(-1 - 2 + 1) + (1 - 1 - 2)*(-197 - 161 + 1084)*(p + 0*p - 4*p)).\nAnswer: -4352*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 5*m - 36120 = 0. List the prime factors of m.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7833 + -3419. List the prime factors of i.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 164643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 39. Let o = 0.2 - 0. Put o, 3, h in ascending order.\nAnswer: h, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 7 in decreasing order.\nAnswer: 7, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q**2 + 2*q + 1. Calculate i(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)*b**2)\/(b\/((b\/b**(-2\/5))\/b))**(-1\/10))\/((b**(-1\/5)*b*b\/(b\/b**(-1\/5)))\/(b*b**1*b)**17) assuming b is positive.\nAnswer: b**(7819\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhjhjhhqjqjhhjjqh. What is prob of sequence hhj?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x + 54. Determine a(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22506264 - 3?\nAnswer: 22506261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 1878?\nAnswer: 39438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 19. Let d be (-10 + 1)*12\/q. Is -5 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.09 (c) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9*o - o = 0. Suppose 5*m + n - 128 = -14, o = 2*n - 8. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = 3*g - 7*g, 0 = -4*g - y - 8. Let t = -0.9 + 0.9. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 12*a. Let q be o(-6). Let g = -68 + q. Suppose 3*l - 19 = -2*d, 9*d - 22 = l + g*d. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*x + 11. Let a(l) = l**2 + 4*l. Is 10 a factor of a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.27 - 11. What is the closest to 4\/5 in 5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9*n = -10*n - 10, -n = -4*y + 14. Let s be (-4)\/10 - 2732\/(-5). Let f be y\/5 - (s\/(-10) - 2). What is the highest common factor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-3) + 2\/6. Suppose 3*u - 6 + 19 = 4*a, -2*u - a = 27. Let f = i + u. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*h - 2\/5*h**2 + 32\/5.\nAnswer: -2*(h - 8)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18503 + 32207. Is 63 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 + 9. Let q = 1 - o. Suppose -3*s + 4*j = 2*s + 8, 0 = s + 5*j - 10. Which is the third biggest value? (a) s (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*c**3*m - 5*c**3 - 13048*m**2 + 1165737 wrt m?\nAnswer: -25*c**3 - 26096*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 467?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92250 divided by -90\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 4. Let d(m) = -5*m**2 - m + 5. What is -3*a(f) - 2*d(f)?\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(324) - (sqrt(931) + 1))**2 - (-5 + sqrt(76) + (sqrt(76)*1)**2 + sqrt(76) + 1).\nAnswer: 29*sqrt(19)\/3 + 29383\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 6076854.\nAnswer: 6076844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 6 + 4, 56 = 2*v + 5*u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-6)\/(-8)). Let b(o) be the second derivative of -o**3\/3 + o**2\/2 + o - 139. Calculate the least common multiple of b(k) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/14)\/(((a\/(a\/a**(-4\/7)))\/a)\/(a\/((a\/a**(-1\/2))\/a))))**(1\/69) assuming a is positive.\nAnswer: a**(2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-801)\/801*82*-4*4\/(-32)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*x - 5*r - 106, -297 = -5*x + r. Suppose 4*d - 153 = x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/10)\/5*(-6)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 65319 = -11463. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -978 and -89551?\nAnswer: 87580878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2867 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26*m - 10584 = -21*m, -2*m - 3528 = -o. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*j - 37 = 0, 36 - 2 = 4*h + 2*j. Suppose -4256 = -30*w - h*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from bpjpn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 171*d - 2433040 = 0. What are the prime factors of d?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 != 9\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) - (-4 + -1). Suppose z*p = -p + 35. Solve 2*r - p - 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 29*m**4\/12 - 2*m**2 + 16*m. Let o(b) = -4*b**2. Give o(l(g)).\nAnswer: -13456*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:17 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 475, 1036, 1791, 2722?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (10 - 5)) + -20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.81 + -4.9. What is the biggest value in 2, z, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/38 and 50?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w**4))**27*(w**(-1\/7))**(-3\/25) assuming w is positive.\nAnswer: w**(-9447\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*w**2 + 12 - 13 - 2*w to o + u*w + y*w**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 548?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**38*(v**(-2\/5))**(-48) assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**29*(m*m\/(m\/m**2*m))\/((m*m**2\/m)\/m) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h + 15 = 0, 4*h = -5*k + 171748. Let f(a) = -2*a + k - 34352. Let g(c) be the second derivative of 2*c**4 - 3*c. Calculate g(f(t)).\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 999, 997, 995, 993, 991, 989?\n\"Answer: -2*h + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 169574887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2128*q + 2329*q**2 + 3*q**3 - 2329*q**2 - 2128*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806106 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -1)*34\/(-4). Suppose 4*s + 3*s = 56. Suppose 5*i - i - s = 0, 4*i = -5*g + 28. Solve k = 3*w - g*a, 2*a = -w - 0 - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-390)*35\/14.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 478.77701 to the nearest integer.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 5 + 2*y**3 - y**4 - 2*y**2 + 2 - y**3 + 6*y in the form i*y**2 + u + v*y**3 + o*y + m*y**4 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 70 = d, 4*r = 2*d + r - 165. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 8, m: 4}. What is prob of picking 1 m, 2 l, and 1 s?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748777?\nAnswer: 307, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:20 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 17*x**2 + 28*x + 15. What is the remainder when q(-15) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20557264 divided by -27\nAnswer: -20557264\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -162, -566, -1370, -2712?\n\"Answer: -23*d**3 + 7*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 + -271. Let x = -26 - q. Suppose -x = -c - 3*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 411210?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -54, -124, -220, -342?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.617199 grams in micrograms?\nAnswer: 4617199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 26*b + 4. Let c be y(-13). Let a(j) = 96*j**2 - 45*j - 12. Let n(s) = -95*s**2 + 44*s + 12. Let t(h) = c*a(h) + 3*n(h). Factor t(o).\nAnswer: 3*(3*o - 2)*(11*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/710*(-4)\/1)\/((-14)\/5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 8. Let v be (c - (-3 - 0))*10. Suppose f + v - 40 = k, 5*k = -4*f + 93. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3 + 16*d**2 + 2*d - 16 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 9*r + 6. Calculate the remainder when n(6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2 (c) 55\/4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30\/(5 - 0) + 14 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 10*p + 0 + 9 + p**3 + 3*p**2. Let t be j(-8). Let y = t - 35. Calculate the lowest common multiple of y and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/182 - 4868\/(-14). Differentiate -c*j - 11*j**3 + 17 + 348*j wrt j.\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-225)\/(-330) + 6\/(-33)). Let p = 16 - 6. Suppose o*s - p = -s. What is the highest common factor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -53 + 6 + (-4 - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 9*g**2 + 22*g + 34. Calculate p(-12).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -512.420173382 + 512.42. What is z rounded to six decimal places?\nAnswer: -0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -13, -25, -59, -121?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45783.\nAnswer: 3, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 1 + o**3 - 1\/4*o**4 + 3*o - o**2. List the prime factors of r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272459 take away -0.11?\nAnswer: 272459.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2943.\nAnswer: 2\/2943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 5. Let m = -321 - -553. Let n = 233 - m. Determine g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 127*f + 4298. Calculate y(-33).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/10)*i**(-5\/4))\/(i*i\/(i*i**0*i*i))**(-6\/17) assuming i is positive.\nAnswer: i**(-647\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:37 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*n, 12*n = -0*r - r + 6*n + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:26 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + k**3 - 2*k**3 + (-k**2 + 0*k**2 + 0*k**2)*(-4*k + 2*k - 46*k).\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p + 2*n - 5 = 31*p, 0 = -2*p + 4*n - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 9, z: 1}. What is prob of sequence on?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 12. Let l be k*(-5)\/(-3)*1. Suppose 5*y + 3*f - 7 = 0, -2*f - 1 = l*y - 9. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 24 = -2*g, 2*g + 3 = g. Let j(z) = z**2 - 6*z - 20. Let y be j(s). Is 579\/7 - (-2)\/y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**8\/336 - 2*c**7\/105 + c**6\/30 + c**5\/30 - 5*c**4\/24 + c**3\/3 + 4*c**2. Factor n(z).\nAnswer: (z - 2)*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 16*f**2 - 14*f + 18. Let s be a(-15). Suppose s*p + 3*k = 0, -2*p + 3*k = -0*k. Suppose 0*q - 5*q - 50 = p. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from {d: 8, j: 2, m: 5}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6446\/163 (b) -2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19509 and 488654.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880024 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 663\/2 + -331. Suppose 13 = 5*n - 7. Let r = n - 2. Is r less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 + (-11616)\/(-40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 + 15*j**4 - 20*j**3.\nAnswer: 5*j**3*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w**3 + 3*w**2 - 4*w + 3. Let a be x(2). Let m = a + 43. Calculate the lowest common multiple of 7 and m\/21*(-4 - 3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33853\/274 or 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4067 + 1345.\nAnswer: 1345.4067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 y when four letters picked without replacement from {c: 6, k: 2, e: 3, y: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11542 (base 6) to base 7.\nAnswer: -5003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3441 - -3440.99997161. Round z to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -503029 + 2?\nAnswer: -503027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s. Suppose 4*l - 16 = -2*p, l + 12*p - 7*p = 13. Solve s*x = -x + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*z - 2739 = 1165 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 849696463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -15*n. Suppose n = 11*q - 7*q - 264. Let k = 75 - q. Calculate the lowest common multiple of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4369241, -8738479, -13107717, -17476955?\n\"Answer: -4369238*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**2 + 98*p + 64. What is the hundreds digit of z(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soosss. Give prob of picking 2 s and 2 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 18, 1\/3, 4\/7, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15566423 - 63?\nAnswer: -15566516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-35) - (-496)\/112. Solve -4*j + 7 = g*c - 1, 0 = c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + t)*(-2*t**3 - 1 + 1)*(5*t - 4*t - 4*t + (2*t + 0*t - 4*t)*(-2 + 4 + 0) + (-t - t + 0*t)*(0 - 2 + 4) - 7*t + 3*t + 0*t).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m + 50*m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 + 3*k**4 - k**4 + (4*k**2 + 0*k**2 - 2*k**2)*(k - k + 2*k**2) + 3*k**2 - k**4 - 3*k**2.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/480 + (-2)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.3, 3, -2, 4.66?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -313*z + 323*z. Let s(n) = -8*n - 3. Let q(v) = -3*v + 4. Let m be q(7). Let f(l) = 23*l + 8. Determine m*s(c) + z*f(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 932 and 524716.\nAnswer: 524716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -47201*t + 47192*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 107706 = 19*k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85a (base 11) in base 12?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -3*d, 3*w = -7*d + 5*d. Let f(m) be the third derivative of m**4\/12 + 4*m**3\/3 - m**2. Let c be f(d). Solve -2*s + 7*s = c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 9. Let u be k(9). Suppose 4*c - 3*z + 6*z - u = 0, -3*z = 2*c - 12. Suppose 2*j + 3*x + 2*x = 20, 12 = -c*x. Solve 4*b = -0*b - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41458 and 456?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2170055537 + -4?\nAnswer: 2170055533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 1. Let f(t) = 6*t - 5. Suppose 5*u - 10 = 25. Let l = 2 - u. Let k be l - -2 - -2 - 0. Give k*f(a) + 5*v(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - 4*u)*(-2*u + 1 - 1) - 2*u**2 + 5*u**2 + 9*u**2 + 2*u**2 + 0*u**2 + 0*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-527)*33201\/186.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.15585 rounded to 1 dp?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-3)\/6*(-128)\/(-960)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6654002 and -5?\nAnswer: 6653997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 19. Let y be s(18). Let b be 30 - ((-3)\/(-3) + y). Calculate the highest common factor of 70 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*c + 6*c - 17623, 4*b - 14100 = -4*c. Calculate the common denominator of -56\/9 and 7 + 3*b\/(-1560).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2 - 6*b - 16*b - 38*b - 12.\nAnswer: -60*b - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -31b?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-86))\/(((860\/24)\/43)\/(-10)))\/(-2)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 3*b**2 - b - 2. Let f be i(-2). Suppose 0*m - 3*m = f*j - 135, -4*j + 5*m = -159. Let c be (6\/j)\/(6\/(-8)). Which is greater: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 15*x**2 + 22*x + 22. Let d be i(-13). Let g be 2\/(4\/1) + (-111)\/d. Put g, 0, -17, -3 in increasing order.\nAnswer: -17, -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20874 is divided by 1091.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, 0.3, 1, -2\/59, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 11) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221202 - 130022?\nAnswer: -2011230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*i + 194*i - 101*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 11*w + 2296. Let y = -395 - w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 182 in 23, -1, -2\/3, 4\/11, -1\/9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*-1*6\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - p)*((3 - 3*p - 3)*(-3 + 2 - 1) - 3*p + 0 + 0).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 11983540*v\/9 + 11983538\/9.\nAnswer: 2*(v - 5991769)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 48677 = l - 2598, -5*x + 76815 = -5*l. What are the prime factors of x?\nAnswer: 2, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/(-70) - 108\/(-20). Let a = -1.3 - -1.42. Let p = a + 3.88. Is p > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 0*o**2 - 2*o**2 + (0*o - 3*o + 2*o)*(-3 - 2*o + 3).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67.4 + 68.4. What is the nearest to c in 9, -1\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*l - 15 = -2*l, -2*l = 4*i + 2. Which is the nearest to 1? (a) 2 (b) 1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16790 and 39330.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**8\/210 + 19*q**7\/2520 + q**4 + 24*q. Let s(r) be the third derivative of j(r). Find the third derivative of s(g) wrt g.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:43 AM?\nAnswer: 695","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 7. Let k be (16*t)\/(-4) - 1. Let i = -13 + k. Let q(p) = 2*p**3 + 2*p**2 - 2*p - 3. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607682 by -18.\nAnswer: -303841\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6))**33\/(d**(-4\/15)*(d\/(d\/((d**(-14\/11)\/d)\/d)*d)*d)\/d) assuming d is positive.\nAnswer: d**(-317\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0527 + 0.0473. What is the closest to 2\/3 in c, 2, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 1583050.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = -o, -3*w + 3*o + 96 = 0. Let d = w + -32. Solve -a = z - 2, -2*a + 5 = -a + d*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 - -2) + -6)\/(-2). Suppose -3 = 3*o - p, -2*o + 7*p - a = 4*p. List the prime factors of -7*(o\/1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*3.54\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79267 is divided by 2264.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 1 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 101?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 28893 and 28892 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220\/(32*(-4)\/(-800)).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -50. Let j(g) = g**2 - 7*g - 5. Let r be j(7). Sort 1, d, r.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -3)*(4 + -5). Is 14 a factor of 14\/(t - (-8)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**7\/2100 + 7*o**6\/900 + o**5\/30 + 10*o**3 + 15. Let a(g) be the third derivative of c(g). Factor a(q).\nAnswer: 2*q*(q + 2)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19818 and 144?\nAnswer: 158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -22. Let l = 33 - t. Solve 0*h - l*h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -35*v - 88. Let l(r) = 29*r + 87. Give -6*l(n) - 5*x(n).\nAnswer: n - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4334033 (base 6) to base 3\nAnswer: -101220112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617.6 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10853*j + 10852*j - 7 = 0, 0 = -3*b + 3*j + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00269 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.04 greater than or equal to -68800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25*q + 4*q + 5 + 2 + 34*q.\nAnswer: 63*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - -98.6728098\nAnswer: 101.5728098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2247 - 2248. Let k = 7 + -9. Let z = 4.1 - 4. Which is the nearest to k? (a) x (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.014ml in litres?\nAnswer: 0.169014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + c**3 + c**3)*(-c**2 - 3*c + 3*c) - c**5 + 3*c**5 + 0*c**5 + 36*c**3 - 58*c**5 - 36*c**3.\nAnswer: -54*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -5, 5\/6, -0.3 in increasing order.\nAnswer: -5, -0.3, -1\/6, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23384*v - 23370*v - 3 + 5 + 4 + 4*v**3 - v**4 - 3*v**3 - 2*v**2 to w*v + j*v**4 + b*v**3 + r + f*v**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvve. Give prob of picking 1 b and 2 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 28 - 13. Let o be (-3)\/6*(-3 - u). Suppose -o - 7 = -2*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let v = -22 + 24. Suppose -v*a - x = -9. Solve 5*w + 8 = -a*j, -8 = -2*j + 6*j - 4*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.7 - -28.37. Let g = y + 0.33. Which is the closest to 1? (a) -19 (b) -2\/11 (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 + 3 + 5.\nAnswer: 8 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 48 = 22*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-2*r - 1 + 1) - 5*r + 2*r + r + 5606*r - 3476*r - 4701*r.\nAnswer: -2577*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 518, 538, 558?\n\"Answer: 20*p + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 407*g + 10174. Determine o(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 - 4*p + 9. Let x be v(-7). Let s be (-4)\/x + 17\/(-45). Do s and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + (4 - 10) + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -77, -163, -283, -437?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 z when four letters picked without replacement from {g: 2, u: 1, q: 3, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 11768. Let g be p\/(-40)*5\/(-2). Let z = g - 706. Find the common denominator of 29\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 0 + (38 + -11 - (27 - 6) - 15).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -363813257 or -363813258?\nAnswer: -363813257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**14*k**(-1\/7)*k assuming k is positive.\nAnswer: k**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f. Let p(h) = -22*h**2 + 5*h + 16. Let n be 8\/(-32)*(-4)\/1. Let j(v) = n*p(v) + 5*a(v). What is the derivative of j(i) wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -138. Is 30 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 56*l**2 - 3*l - 136. What is the remainder when 1\/(-2)*-2 + 93 is divided by x(-56)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -97*h**8\/14 + h**7\/42 + h**4\/4 + 3291*h**2\/2 - 5861*h. Find the third derivative of j(v) wrt v.\nAnswer: -46560*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2686*z**2 + 0 + 5362*z**2 - 2674*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a + 5*a + 0*a + a**2 + 0*a**2.\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - -1) + -1)\/1. Suppose -16 + i = -4*v. Find the second derivative of -2*c**4 - 4*c - 2*c**2 + 6*c**2 - v*c**2 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1029374.6 to the nearest one thousand.\nAnswer: 1029000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3238, 12993, 29242, 51979, 81198, 116893, 159058?\n\"Answer: -t**3 + 3253*t**2 + 3*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29861 - 10460. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Suppose -6*z + z + 50 = 0. Let x be (28\/z)\/((-6)\/(-15)). Let d(t) = -2*t - 2*t + x*t + 0*t. Determine f(d(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geeqqeeeges. Give prob of sequence eqsg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2\/11 + 3127*z\/11 + 782\/11 = 0.\nAnswer: -1\/4, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (51 - (39 + -4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 22*g**2 + 31*g - 28. What are the prime factors of j(-16)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - s**2 - s. Let u(w) = -w**3 - 31*w**2 - 85*w - 72. Let t(k) = u(k) - v(k). Solve t(p) = 0 for p.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(130) - (sqrt(130) + (sqrt(130)*-1 + sqrt(130) - sqrt(130)))) - sqrt(130)))\/(4*sqrt(90)*3).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 2. What is the smallest common multiple of m(6) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -751, -816, -1031, -1480, -2247, -3416, -5071, -7296?\n\"Answer: -14*w**3 + 9*w**2 + 6*w - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 97. Let u be z(-23). Solve 3*i - 2*a + 2 = 0, -u = -5*i - 6*a + a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.797483 rounded to 3 dps?\nAnswer: -0.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.11. Let t = -1.03 + l. Let y be (8 - 47\/4) + 9\/12. What is the biggest value in t, y, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286 - 1427\/5. Factor -f*r**4 + 3\/5*r**2 + 3\/5*r**3 - 3\/5*r + 0.\nAnswer: -3*r*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 16*r**2 - r - 14. What are the prime factors of o(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 + 9526310*j - 5932070 wrt j.\nAnswer: 6*j**2 + 9526310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 11*l - 6. What is the units digit of y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174219301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/(50\/(-105))*(-15)\/(-5)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46183 - -0.3?\nAnswer: 46183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - 184. What is the second derivative of 10*g**3 + 7*g - t*g**2 + 62 - 4*g**3 - 9*g - 5*g**2 wrt g?\nAnswer: 36*g - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 5, -97, 1 in increasing order.\nAnswer: -97, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -15, 7, -1 in decreasing order.\nAnswer: 7, 0.3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = -c + 34, 5*x = -c + 51. Suppose 6*n = n + x. Let v(k) = -2*k**2 - 7*k**2 + 6*k**n + 2*k**2. Let w(o) = 27*o. Determine v(w(g)).\nAnswer: -729*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 8*m**4 - 139*m**3 + 638*m**2 + 5808*m.\nAnswer: m*(m - 11)**2*(m + 6)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gwggwgwgwwgggwgggg.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1616840 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 4*s - 9. Let i be c(6). Suppose 275 = 5*y + i. Let l = y + -30. What is the remainder when 38 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 22 + 229*q + 553*q + 14 as j*q + n and give j.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39347\/9 - 4364. Let s = -1425 - -5625\/4. Calculate the common denominator of s and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*t = 407*t + 9601 + 22583 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49700 and 217350?\nAnswer: 30863700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.5, -2\/7, 2386?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.04 - 16.64. What is the closest to -35 in h, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472259531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**2\/2 + 221*a + 6097. Let b(m) = -2*m**2. Calculate b(q(f)).\nAnswer: -2*f**2 - 884*f - 97682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3*l + 7*l - 12, 3*f - l = -3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296637133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -47 + 24 - s + 19. Let i be x(-13). Suppose -17*c = -14*c + i. Is c < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 15*l + 36*l + 43*l - 24*l + 34*l.\nAnswer: 101*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 150 = -17*t. Suppose 2*k + 2*x - 132 = -44, -5*x + 100 = 2*k. Let j be k\/(-10)*t\/8. Solve -c = -6*c + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 6) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4103, 8207, 12311, 16415, 20519?\n\"Answer: 4104*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.032? (a) 2 (b) -5 (c) -1\/2 (d) -1\/56 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083 = 16*n - 1163 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 3. Let k(p) = 8*p**2 - 28. Let x = -3 + 0. Let v(s) = 8*s - 4. Suppose -3 - 6 = 3*w. Let n be v(w). Determine n*y(a) + x*k(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 56. Let j be n(18). Suppose -4*q + 576 = 5*d, -4*d + 0*d = j*q - 294. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 32*o**2 - 3*o. Let f(r) be the third derivative of r**4\/8 + 2574*r**2. Give g(f(x)).\nAnswer: 288*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132617000.\nAnswer: 2, 5, 17, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(29\/3886)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 37 - (-1 - (1 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/120 - z**5\/60 - 11*z**3\/6 + 16*z**2. Let s be q(-3). Let u(v) = 0*v**2 - 6*v**2 + 6 + 4*v + s*v**2. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219a41 (base 14) to base 5\nAnswer: -243001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -114229\/7 at most -16317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f - f**3 + (9 - 9 + 5*f**2)*(-4*f + f + f) - 2 - 2*f**3 + 2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 7. Let s = p + 16. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*-4*105\/63?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 2*m**2 + 8*m**2 - 4890384*m + 11*m**2 + 4890384*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -46\/199653?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -970, -1936, -2902, -3868?\nAnswer: -4834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 65, 153, 301, 527?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8987?\nAnswer: 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqoffoffl. What is prob of sequence lo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/3 - 2*d**4\/3 + 10*d**3\/3 + 20*d**2\/3 - 3*d - 6 = 0 for d.\nAnswer: -3, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 12) in base 5?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 - -15.2. Let d = w - 8.3. Let p = -3587\/9 - -399. Which is the closest to 1? (a) 0.5 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from gqbcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -10*f + 11*f - 64 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120010134 (base 5) in base 10?\nAnswer: 547544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1599908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + h - 79 = 0, 3*y - 80 = 5*h + 141. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 0.07. What is the nearest to 0 in o, -2, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 + 6*y. Let q be j(-5). Let u be (0*(-4)\/(-12))\/(-1 + -1). Which is the second biggest value? (a) u (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**8\/7560 - x**7\/1890 - x**6\/1620 - 2*x**3 - 2. Let p(b) be the third derivative of o(b). Factor p(r).\nAnswer: -2*r**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 + a**5\/10 - 2*a**4\/3 + 2*a**3\/3 + a**2. Let q be s(-8). Suppose -3*b - 237 = -q*b. List the prime factors of b.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 10:23 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/6 + 9*k**2\/2 + 38*k. Give j(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 + 3721244?\nAnswer: 3721110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzz. What is prob of picking 3 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-99))\/((-4)\/(-12)). Let j = 2.536 + -2.936. Put 5, p, j, -1 in descending order.\nAnswer: 5, p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*d - 9. Let u(z) = z**2 - 3*z + 3. Let b be u(3). Let r be (3 + 185\/b)*d. Round r to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(14*v**3 - v + v).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + -3 - 0 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 24. Let l(f) = f + 1. Let p(c) = -c - 1. Let t(g) = o*l(g) - 2*p(g). Determine t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 236 - 792 = 4*h, -5*l = -3*h - 1706. Suppose -3*q + q = 3*r - 255, l = 4*r + q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31745 by -4.\nAnswer: -31745\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}