diff --git "a/data/dm_maths/full_data_2/1018_11255.jsonl" "b/data/dm_maths/full_data_2/1018_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1018_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -2*g**3 + 38*g**2.\nAnswer: -2*g**2*(g - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 2332?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**16*h)*h*h*h\/(((h**(-2\/51)*h)\/h)\/h)*h*h\/h**42*h**(-16)\/h)**(-2\/19) assuming h is positive.\nAnswer: h**(7034\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -887, -1457, -2043, -2651?\nAnswer: -3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 15*o - 3*x + 13, 9 = -3*o + 2*x. Sort 1, -3, o, 0.3 in ascending order.\nAnswer: -3, o, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004274198 to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7479.165 centuries?\nAnswer: 8974998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 - i + 1. Let c be o(-2). Suppose 4*t - c = -3*g, -2*t + 14 = 3*g - 3. Suppose -g = -2*q + 9. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/15 + (-8)\/40. Suppose 71*w - 24 = 67*w. Put 3, w, u in descending order.\nAnswer: w, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*f**4 - 87*f**3 + f**2 + 28*f + 314979 wrt f?\nAnswer: 56*f**3 - 261*f**2 + 2*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1537 = 2*j, -3*j + 5*g + 1 = -2301. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m)**4 assuming m is positive.\nAnswer: m**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - -328ce6?\nAnswer: 328cbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Let s be -34 + (4\/z - 3). What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1311728617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/77 in -1.8, 0.5, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16108 is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.296681 + -224378.\nAnswer: -224378.296681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 144, 147, 174, 237, 348, 519, 762?\n\"Answer: 2*s**3 - 11*s + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -3*o, 3*v - 4 = 4*o - 6. Suppose -x = -v*x - 1. What is the nearest to 1\/2 in -2\/3, x, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 4. Let n be z(3). Let o be -2 + 8 - (n + 2). Suppose f = r + 25 - o, 2*r + 10 = 0. 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 13072 minus -0.04?\nAnswer: 13072.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 95*g + 1658 + 588. Sort 4, 5, -15, g, 1.\nAnswer: g, -15, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0307793 rounded to four decimal places?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbcqchqcbhc. Give prob of sequence bqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414036666.\nAnswer: 2, 3, 17, 179, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 784 + -1165. Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14*-1*14\/664 and 1668\/(-3892) - 106\/(-28)?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149473?\nAnswer: 13, 29, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252036 divided by 3.\nAnswer: 84012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -566\/36713?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -95, -3, 3, 2\/47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 60\/16)*-4. Suppose -4*j = -21 + 1. Let n = j - l. Solve -n*p + 6 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/6 + q**3\/6 + 2*q**2 - 14*q - 2. Let f(a) = -3*a**2 - a - 5. Calculate 3*f(i) + 4*m(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 151 + 29. What is the greatest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:57 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -989 + 41425\/42. Find the common denominator of o and 77\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*c - 21933 = -23991 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(545\/6976*((-20)\/150)\/(-1))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 10*s**2 + 28*s - 49. Let y be x(12). Suppose -5*w + w + 18040 = 0. List the prime factors of (w\/(-88))\/((-1)\/(3 - y)).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-530)\/(-53)*(-2)\/28?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 49?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*k - 22 = 0, -3*c = -7*k + 2*k - 28 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -63 (c) -2.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diidiiiddiididddiii. Give prob of sequence dd.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -45452 (base 8) to base 2\nAnswer: -100101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 33545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 699, -4, -38 in descending order.\nAnswer: 699, -1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*u = -24505, -2*s + 4723 = -u - 5079. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 divided by -119?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t - 2 - 3\/5*t**6 + 0*t**2 + 2\/3*t**3 - 1\/5*t**5 + 3\/2*t**4. Let n(z) be the first derivative of h(z). Factor n(j).\nAnswer: -2*j*(j - 1)*(j + 1)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -66, -97, -128, -159?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 89*s**2 - 47*s + 317. Is t(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -212. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.058 and -0.05.\nAnswer: -3.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5641 (b) -23 (c) -19 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5696443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 946227356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 19*b**8\/4 - b**7\/21 + b**4\/6 + 9*b**3 + 576*b. Find the third derivative of q(x) wrt x.\nAnswer: 31920*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.339566 to 3 dps.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (101 - 31)) + -6 + 28\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.9990661 to 3 decimal places.\nAnswer: -30.999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n + 67 = 77, -9*n - 53 = -2*q. What is the remainder when (18\/4)\/(2\/8) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -2*i + 127. Let j(u) = 8*u**2 + 56*u + 23. Let c be j(-7). What is the greatest common divisor of i and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/27, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.5, 18\/61, -11, 4\/3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 18. Let g be (-1 + -2 - k)*5. Is g\/(-10)*(-28)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 1250 + 790 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2408492*a*k**3 - 2*a*k**2 - 4*a*k + 23627662*k**3 wrt a?\nAnswer: 2408492*k**3 - 2*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -1. Let g be (-4)\/k*84\/14. Solve -w = 4*s + g*w + 12, 2*s - 5*w = 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.2628208163.\nAnswer: -1.7371791837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 347, 321, 295, 269, 243, 217?\n\"Answer: -26*j + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 444000917513 from 1.5.\nAnswer: -444000917511.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 4. Let c be x(-4). Let t = -20 - -40. Let v be -2 + t + 8\/c. Calculate the greatest common divisor of v and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/800 and 229\/510720.\nAnswer: 2553600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 19 + 21. Suppose 0 = -c - 2*a + 86, -a = 3*c + a - 254. Suppose -276 - c = -4*n. What is the greatest common factor of n and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.28. Which is the third smallest value? (a) 3 (b) d (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/135383 or 1?\nAnswer: 33\/135383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 2\/3*t**3 + 4*t + 0 + 0*t**2. Let g(s) = -s + 9. Let a(u) = u + 3. Let i(b) = 6*a(b) - 2*g(b). Determine i(o(y)).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2894, 5789, 8684, 11579, 14474, 17369?\n\"Answer: 2895*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g = -71 - 61 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + -1 + (sqrt(76) + sqrt(76)*1 + -2)*-4)**2*5.\nAnswer: -1280*sqrt(19) + 24639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 61. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 17, 4 in ascending order.\nAnswer: -10, -2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 27*u + 42 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -k + 117 + 197, 4*i + 3*k = 238. What is the remainder when 829 is divided by i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6519814 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t**3 - t**2. Let k be d(-1). Let s = -20 + k. Calculate the remainder when 16 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -3. Let v = u + 6. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 18*r + 21. Let p(q) = 2*q - 7. Let w be p(-5). Let k be x(w). Suppose -3*z + 4 + 2 = 0. Solve j + 4*a = 5*j + k, 14 = z*j + 2*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 + -4.3. Which is the smallest value? (a) 4 (b) t (c) -1.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4004*x**2. Let m(f) = -f. Determine g(m(b)).\nAnswer: 4004*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10300130 (base 5) to base 9.\nAnswer: 143066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, -0.022, 1 in descending order.\nAnswer: 1, 5\/9, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 728.4771 days?\nAnswer: 62940421.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*w + 224, -530 + 168 = -3*g - 2*w. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*(16660\/(-147))\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 11*q. Suppose -4*b - d = 308003, q = -2*b + 3*d + 75673 - 229664. What is b rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1084.8 and 2.3?\nAnswer: -2495.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 37*j**2 + 46*j + 16. Is p(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21895159 + -0.21882. What is j rounded to six dps?\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 1. Let s be a(1). What are the prime factors of (0 + 1)\/(s\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*c. Suppose 2*t - 11 = 3*o, c*t + 3*o - o - 62 = 0. Suppose -j = -2*i + 6, 5*i = 2*j + t + 2. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34649.7 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:14 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*s + 14 + 21, 4*s = -h + 15. Let r be s*(12\/5)\/3. Suppose 0 = y - r*y + 21. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 - -328. Let u(b) = -4*b**2 - 3*b + 3. Let v(o) = -3*o**2 - 2*o + 3. Let q(r) = -2*u(r) + 3*v(r). Let k(p) = p**2 - 7. Give s*q(x) - 3*k(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 + 6*r - 7. Let q be v(4). Solve -5*d + q = -3*m, -5*m + d = 3*d - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/(-25))\/((-2)\/(-10)). Let n be 9\/6*(-44)\/r. Suppose -125 = -3*x - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131252 and 2376?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (1 - 1) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 2*v**2 - 3*v)*(-6 + 7 + 8)*(-3 + 3 - 2) + (-2*v - 2 + 2)*(2 + v - 2) to the form a + d*v + u*v**2 and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776773.4ml to litres.\nAnswer: 776.7734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*m + 3*i + 7, 27 = -3*m - 12*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5702, -11417, -17132, -22847, -28562?\n\"Answer: -5715*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2059 + 2149. What is the remainder when 337 is divided by i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5135119 is divided by 95.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2)\/(16\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95295794.\nAnswer: 2, 11, 37, 117071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -11924 divided by 22\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 607663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 535.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -97, -98, -99, -100, -101?\n\"Answer: -g - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 11*o - 22. Determine y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13 = m + 2*p, -3*m = -5*p - 34. Let d = m - -6. Let i = -6 + d. Solve -y - i = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11649*m**2 + 11644*m**2 - 69917*m**2 + 11646*m**2 + 11648*m**2 + 11679*m**2 + 11653*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30907.69 grams?\nAnswer: 30907690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 83 = 14. Calculate the remainder when 66 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14424201033 + 2?\nAnswer: 14424201035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 4454. Suppose -17816 = -166*v + 158*v. Let o(p) = p - t + v. Let h(l) = 2*l. Determine h(o(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1172, -10, 1980 in descending order.\nAnswer: 1980, 1172, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 32, 2*k = 19*f - 21*f + 2446. Calculate the greatest common divisor of 495 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18 + 231198\/(-12760))*(33\/18 - 1) and -17\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2596)\/(-528) - 17\/4. Which is the fifth biggest value? (a) -2\/15 (b) 2\/13 (c) 0 (d) m (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**3\/3 - 3*g**2\/2 + 4*g + 2. What are the prime factors of o(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 - 28 = 0. Suppose -2*l - 53 = -3*r - 14, -3*r = -5*l - n. Solve 0 = -0*o + 3*o + 5*p - r, -4*o + 10 = 2*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2965400 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 1. Let x(j) = 6*j**2 + 14*j + 2. Let k(y) = -2*l(y) - x(y). What is the second derivative of k(f) wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -3907.\nAnswer: -3902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 869236?\nAnswer: -869231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:20 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46538817 is divided by 2449410?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11 + 4*a - 12 + a - 10*a. Let o be s(-5). Find the second derivative of -5*m + 7*m**4 - o*m**4 + 7*m wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + k**5 - 2*k**5 + 1 - 2*k**5 - 1 + (-k - 2*k + k)*(-75*k**4 + 51*k**2 - 51*k**2).\nAnswer: 147*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4220 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6865? (a) 6 (b) 0.4 (c) 0.1 (d) 2\/7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 7*r - 7. Let i be d(5). Solve 3*y - 4*p + 17 = 0, 3*p = i*y + 9 + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Suppose 3*m = l*a - 9*a + 557, -5*m + 20 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-29)\/783). Sort w, -5, 0 in decreasing order.\nAnswer: 0, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + 15*s**2 + 180*s + 4. Let t(u) = 2*u**3 + u**2 + 1. Let p(r) = -3*j(r) + 12*t(r). Determine n so that p(n) = 0.\nAnswer: -9, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -108. Sort -1, o, 3\/5.\nAnswer: -1, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040993029*f**2 - 18*f - 1040993064*f**2 + 17*f.\nAnswer: -35*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(6\/3) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -552, -838, -1130, -1428, -1732?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(11\/2)\/w)**16\/((w**(-30)\/w)\/(w*((w*w**(-11\/2))\/w)\/w)) assuming w is positive.\nAnswer: w**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let x(n) = -5*n - 3. Let d(l) = -3*k(l) + x(l). Let t be 2 + -4 + 6\/(-3). List the prime factors of d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-10)*300\/15. Put -1\/2, t, -4, 0, 2\/9 in descending order.\nAnswer: t, 2\/9, 0, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(4\/7))\/(z\/(z*z\/z**(-6)*z))*z**(-3)\/z**(-1\/3))\/((z*z*z**(-5))\/((z\/z**(-4\/3))\/z))**(-24) assuming z is positive.\nAnswer: z**(-2063\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -19\/580 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 0, y = -p - y + 7. Let l be (-75)\/20 + 1 + (-2)\/p. Sort -0.5, -0.2, l, -2\/3 in decreasing order.\nAnswer: -0.2, -0.5, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*u, -2*x - 3*u = 3*x + 18. Let m be x\/((-9)\/15) - 15\/10. Suppose 3*h + 4*g - 35 = -0*g, -4*g = -5*h + 5. Is h > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6 - 9) + -1 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-66 - -15)) + -45\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-3)\/(-2)*(-5366)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from fhhhw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17721, 74086, 168027, 299544, 468637, 675306?\n\"Answer: 18788*h**2 + h - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 0. Let w = 793 - 777. Suppose -28*z + 36 = -w*z. Solve -10 = -2*u + z*s, -u + 5 = 4*s - q*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 324.411491 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -90*((-120)\/18 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 7*x - 3. Suppose x*q = 92 + 322. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.89 and 14157.\nAnswer: -12599.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4*(-4)\/64?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 142, -1.\nAnswer: -5, -1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 2*t**2 + 2*t**2)*(4 + 0 + 3) - 1363*t**2 - 501*t**2 - 956*t**2 - 2657*t**2 + 179*t**2.\nAnswer: -5312*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*s**3 + s**2 + 22*s + 9732 wrt s.\nAnswer: -57*s**2 + 2*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 1\/2, 4\/5, -23.9, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - ((12 - -5) + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140633955.\nAnswer: 3, 5, 7, 11, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 476 = -27*b. What is the smallest value in b, -2, 3\/2, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**5\/2 + 3106*w**4 - 1918209*w**3\/2 - 3498145*w**2 + 1552516*w = 0.\nAnswer: -4, 0, 2\/5, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696090591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3110472 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/51019 and -32\/399075?\nAnswer: 65049225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64040?\nAnswer: 2, 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*z - 21, -2*o = 2*o - 4*z + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 3. Let l be y(-4). Suppose 0 = -24*v + 9*v + 315. Let s = v - l. What is the remainder when 80 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**3 + q**2)*(20 + 11 - 8 + 1 + 1 - 5 - 2 + 5 - 5 + (4 - 1 - 1)*(2 - 4 + 3))*(3*q - 5*q + 4*q).\nAnswer: 120*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -66.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -1. Suppose -15 = 4*f - 4*f - 5*f. Which is the biggest value? (a) i (b) -1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m - 11*m - 2 - 22*m**3 - 15*m**3. Suppose 41 = j + 42. Is 9 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 35 - 18 + 5*g - 49.\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + 355*m**5*t**3 + 4*m**2*t**2 - 12*t**3 wrt m?\nAnswer: -360*m**3 + 21300*m**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 17, -2\/17, 3, 2935?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 10*v = -12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 419 + -416. Suppose -1 = -2*q + 1. Solve m + t = q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -514, -516, -518, -520, -522?\n\"Answer: -2*z - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*h + 24. Suppose p - 3 = h*v, 7*p - 4*v = 3*p + 48. Factor -8*b**2 - 12*b**3 + p - 30 + 4*b**5 + 15.\nAnswer: 4*b**2*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/7 + 22\/35. Which is the third biggest value? (a) 3\/4 (b) 39 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-40)*(22 - 30)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 - 6) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/(-24*(-130)\/(-40))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37240.03 centuries?\nAnswer: 372400.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-189)\/(-6)*-2. Suppose -t - 3*d = -2*t + 27, 3*t - d = 121. Calculate the highest common divisor of f and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 97308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2\/5*b**3 - 14\/15*b**4 + 8\/15*b + 38\/15*b**2 - 2\/15*b**5 - 8\/5 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 + 9*x**2 + 24118 - 24047 to the form j*x + u*x**2 + h and give h.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 148\/(-3) + 4\/(-6). Let l = s + 199\/4. Let w = -736\/5895 - 10\/1179. Which is the biggest value? (a) w (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 107 - 101. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 19. Calculate the remainder when (-3)\/(-1) - 272\/(-17) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*v**2 + 39*v**2 + 38*v**2 + 78*v**2 - 45*v**2 to z + l*v**2 + w*v and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - k - 11, -2*y + 1 = 4*k + 5. Let z(p) = -p**3 + 2*p**2 + 5*p + 1. Let m be z(y). What is the units digit of (-2)\/m - (-2740)\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u = 40*u - 1336. Let l = 672 - u. Solve -2*q + 3*y + 8 = l*y, q + 3*y = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd + -d1?\nAnswer: -1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let z be 21\/(-4 - (-20)\/8). Let m(a) = 6*a - 14. Let s(j) = -2*j + 5. Let v(g) = z*s(g) - 5*m(g). Determine b(v(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m - 7. What is the tens digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*v - 5, -18 = -4*v + 5*g - 55 + 42 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -6, 13, 61, -1, 2 in ascending order.\nAnswer: -6, -5, -2, -1, 2, 13, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z - 17. Let v be l(3). Suppose 0 = v*c - 3*n - 922, c = 3*n - 2*n + 231. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16088658 is divided by 1128.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h*t**2 + 6856*h*t + 11*t**4 + 93*t**2 - 2*t wrt t.\nAnswer: 20*h + 132*t**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 356*h**2 - 356*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/(-20)*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - f60354?\nAnswer: -f60356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010100000?\nAnswer: 10010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f = 236 - 1094. Solve -f = -36*v - 13 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2484, -9918, -43576, -109116, -217164, -378346?\n\"Answer: -1771*o**3 - 2*o**2 + o + 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 - 8075 + 2377 = -177*n + 5334 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88855\/444 + 801\/4. What is the common denominator of 17\/12 and p?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -65621, 0.4, 0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 43 + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.69, -0.39, -3\/20?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/540*(-100)\/6\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*u - 8055 + 2555 = -211*u + 111*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 2100*i**3 + 1 + 2098*i**3 + i**4 - 771*i**2 - 1085*i**2 to the form q + s*i**3 + t*i**2 + n*i**4 + b*i and give t.\nAnswer: -1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314482 is divided by 157207?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, v: 4}. What is prob of sequence vavv?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let f be (-6 - -4)*(-1 + 0). Let s be g(f). Is (-158)\/((-4)\/(4 + s)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-11*16\/(-132).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 102. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 77, -5, 7 in descending order.\nAnswer: 77, 7, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 23*s + 20 = 0. Suppose -247 = -38*u + 33*u - f, f = s*u - 253. Solve -2*z - 44 = -u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, 4, -2\/7, 1, 8.75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1242 - (3 - 0\/(-3)). Let g = h + -825. Suppose 0 = 4*a - g + 158. Calculate the greatest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110 (base 2) to base 5\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let j(l) be the first derivative of l**5\/40 + 4*l**3\/3 - 24. Let f(v) be the third derivative of j(v). What is f(i(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 15 + 121. Suppose 3*y = w - 6*w + d, 4*y - 5*w = 22. Suppose -3*j - 10 = -y*j. Solve j*z - 11 = x, -z = 3*x - 8*x - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 396, 547, 752, 1035, 1420, 1931?\n\"Answer: 4*v**3 + 3*v**2 + 114*v + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * 0.5.\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 5, u: 1}. Give prob of sequence oo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16*o = -13*o - 19, -d - 9 = -o. Let w = 1775\/9 + -197. Which is the nearest to w? (a) 2\/3 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 1. Let i(v) = -v**3 - 23*v**2 + 34*v - 25. Suppose -3*h = -6*h - 12. Let s(g) = h*f(g) - i(g). Is s(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(605) - 2*sqrt(605))**2*-2 + (-2*sqrt(605)*1)**2 + -2)*6.\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 13*h - 22*h**2 + 73*h**4 - 66 - 80*h**4 to the form i*h + q*h**4 + f*h**2 + w*h**3 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(68) + (-5 + (sqrt(68) - -1*sqrt(68)) - sqrt(68) - sqrt(68))**2.\nAnswer: -2*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -54018332229.1?\nAnswer: -54018332229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37862 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575 - 570. Solve 0*z - j = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 + 433*m**4 - 6465*m**2.\nAnswer: 120*m**2 + 10392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -91. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -g - o, -2*g + 7*o - 8*o + 7 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/22 and 11\/56098102.\nAnswer: 617079122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3250*w + 139791. Calculate n(43).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4918675*q**4 - 2531137*q**2 - 5*q.\nAnswer: 118048200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 5*r**4\/12 - r. Let t(l) = l**2 - 27*l + 38. Let o be t(27). Suppose -o = 32*i - 6. What is w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/890301893 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 5. Put 5, 7, w in descending order.\nAnswer: 7, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/16592 and -83\/244.\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17273575?\nAnswer: 5, 11, 23, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -7*n + 2*n. Suppose n = 4*j + 1. Solve 0 = -2*v, -2*g + 6*v = j*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*c + 1 + 0 = 0, -3*c + 6 = -2*g. Suppose 2*l - 21 = v, -2*v = -g*l + 2*v + 29. Let w(j) = 17*j**2 - 3 + 2 + l*j - 11*j. Calculate w(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 + (-3 - -3). Suppose q*c = 4*c - 4. Suppose 35*r - 38*r + 30 = 0. Calculate the highest common divisor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -2.02. Let w = y - 1.5. Let a = 24.6 - 26.6. Sort a, -1, w in descending order.\nAnswer: w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + 5*h + 11. Let p be t(-3). Is p\/3*(-4)\/16*1398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32878001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 2)*-1 - 3\/12. What is the fourth biggest value in 4, -2, -0.2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(3\/10)*i*i**(-6\/7)*(i**(-2\/3))**24 assuming i is positive.\nAnswer: i**(-879\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/22775292 and 7\/30367056.\nAnswer: 91101168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 0)*(-16 + 90 + 25) + (3 - 4 + 3)*(-6 + 4 + 3))*(2*r + 1 - 1) as c*r + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 13*n = 5*l + 1391, 2*l + 555 = -3*n. Let b = l - -1418. Is 67 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 2*n + 5. Let z(v) = v**2 - v + 3. Let w(r) = 3*u(r) - 5*z(r). Let h(s) = -2*s**2 + 2*s. Give 3*h(x) + 5*w(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 + b - 5. Does 5 divide m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -0.2.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -22*a**3 + 33*a**3 - 2*a**2 - a + 3 - a - 21*a**3. Let v be u(2). What is v rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -71*u**2 + 5*u + 51. Let a(o) = -36*o**2 + 2*o + 25. Let v(f) = -5*a(f) + 2*m(f). Differentiate v(n) wrt n.\nAnswer: 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-24)*2 - 3\/1. Let y(r) = -18*r. Let u be y(2). Sort u, 5, n in ascending order.\nAnswer: u, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Suppose -4*u - 15 = l. Let w(z) = z**3 + 4*z**2 - 4*z + 3. Calculate the remainder when 36 is divided by w(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001357 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -293*n**5\/7 - 589*n**4\/7 - 6*n**3\/7 + 586*n**2\/7 + 299*n\/7 + 3\/7 = 0. What is n?\nAnswer: -1, -3\/293, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12110, -49543, -111932, -199277, -311578, -448835?\n\"Answer: -12478*h**2 + h + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -56 + 59. Sort -2, 11, y in increasing order.\nAnswer: -2, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t**2\/4 + 19068429*t\/4 + 2724063 = 0. Calculate t.\nAnswer: -4\/7, 908021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwgmbivbiiiiww. What is prob of sequence gw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -111256 <= 208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 3. Let f(b) = -174*b**2 + 33*b - 16. Let v(x) = -f(x) + 4*i(x). Find the second derivative of v(w) wrt w.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2 - -1 - -3. Suppose 760 = 3*g + 5*u, 4*g + 2*u - 1005 = -q*u. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c9 + 1d9b1?\nAnswer: 1d7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 7*o**2 + o**2 - 4*o**2 - 14 as k + u*o + y*o**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.75 - -39.75. Let q = x + -62. Let p = q + 19. Which is the smallest value? (a) p (b) 5 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317738, -317764, -317790, -317816, -317842?\nAnswer: -317868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551362 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -3\/4, 5.7, 3 in descending order.\nAnswer: 5.7, 3, 2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = 5. What is the tens digit of (-1 - -1) + b + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 4699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82915 divided by -18.\nAnswer: 82915\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*23)\/(((-51030)\/(-567))\/(-900))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 20 + 5 + 12)*(-2 + 10 + 1)*(g**2 - 1 + 1).\nAnswer: 45*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14458*g**2*p**2 + 7*g*p + 1502*p**2 wrt g.\nAnswer: 28916*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - k + 13. Suppose -2*d - 2 = -v - 5, 5*d + 2*v = 21. Let c be n(d). Is -1 + 1340 + c + -2 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42502055 + 5?\nAnswer: -42502050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/9))\/x)**(-35)*x**(-7)\/((x\/(x\/((x\/(x**7*x))\/x)))\/x))\/((x*x**(-2))\/(x**(6\/7)\/x))**7 assuming x is positive.\nAnswer: x**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -515, -962, -1409, -1856, -2303?\n\"Answer: -447*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 464355 (base 8) to base 12\nAnswer: 77491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + 31*t**3)*(t - 2*t**2 - t**2 + 0*t)*(-4 + 2 + 5).\nAnswer: -279*t**5 + 93*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -10, 18 in decreasing order.\nAnswer: 18, 1, 0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4296 by -6.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-9177)\/(-576)) + 44\/((-3388)\/(-99)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141293 and 311669.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/15229 - -740571137\/182748. Let f = n - 4055. Let a = -78051\/24740 - -6\/1237. What is the common denominator of f and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053900539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 3*s + 97228 + s.\nAnswer: s + 97228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Suppose 3*v - 4*c = 0, -102*v = -99*v - 3*c - 3. Give t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 16*r**2 + 12*r + 42. Give d(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-16)\/(-320))\/(2\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7344 is divided by 115?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.05245 * 4\nAnswer: -0.2098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-189))\/(1182\/1152 - 1). Let p = u - 4\/315. What is the fourth biggest value in -0.3, 0.6, -0.2, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9217*f**2. Let m(y) = 5*y**2. What is m(c(o))?\nAnswer: 424765445*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9517 + 14?\nAnswer: -9503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -472 + -2?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215 + -210. Suppose -q*t - 3*t + 16 = 0. Are 17\/6 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*((-4 + 0 + 2)*(-2 + 5 - 6) - 1 + 14 - 3)*((-2*a + 2*a + a)*(2 + 1 - 2) + 6*a - 3*a + 0*a + (6*a - 2*a - 5*a)*(-3 + 4 - 3)).\nAnswer: -192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 5)*(2*h - 6*h + 6*h**2 - 4*h**2).\nAnswer: -12*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3109277 millennia in centuries?\nAnswer: 3.109277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -140*s**3 + 10*s**2 + 6*s + 12. Let n be f(-3). Suppose m - 4*u - 961 = 0, -4*m = 3*u + u - n. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-36))\/((-1)\/(-2))*228\/9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(3 + (sqrt(1152) + sqrt(1152) + -1)*3))**2*-2.\nAnswer: -746496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 42274035?\nAnswer: -1\/42274035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*s + 15, -t - 5*s - 1306 + 1324 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4858358, 4858347, 4858336, 4858325, 4858314?\nAnswer: 4858303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -5, 5 in decreasing order.\nAnswer: 5, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 1, p: 1}. Give prob of sequence lp.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171341288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22171 + 22231. Sort i, 5, 32.\nAnswer: 5, 32, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + k**4 + 0*k**4 + (4*k**2 - 4*k**2 - 2*k**3)*(0*k + 2*k - 3*k) + (-15 + 9*k**2 + 15)*(-2*k**2 - k**2 + 0*k**2).\nAnswer: -23*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 827271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/11)*b**(21\/4)*(b*b**(-1\/35)\/b*b)\/b**0 assuming b is positive.\nAnswer: b**(9021\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 2*w**2 + 5*w. Let s(u) = u + 1. Let q(b) = -5 + 565*b**2 - 5*b + 571*b**2 - 1135*b**2. Let i(y) = -q(y) - 5*s(y). Determine -2*i(f) - v(f).\nAnswer: -f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20194255 less than 0.301?\nAnswer: 20194255.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-1 - p + 1)*(256 + 13 - 66).\nAnswer: 609*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 3*s - 23. Let h be (16\/(-12))\/((-4)\/18). Let f = -7 - -12. Let p be -3 + f + (0 - -15). Let d(x) = x**2 - x + 8. Determine h*k(n) + p*d(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 + 10*z - 5. Let d be x(0). Let f = -7 + d. Solve -f*k = 2*i - 4, -9 = -3*k + 4*i + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**6\/10 - 21*b**5\/25 - 117*b**4\/20 - 53*b**3\/5 - 33*b**2\/5 - 151. What is a in i(a) = 0?\nAnswer: -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*1 - (-1)\/1. Let x(s) = s**2 - 2*s + 7. Let a be x(4). Calculate the highest common divisor of a and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edcccccedcdceecedecc. What is prob of sequence ecc?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 - 133. What is the greatest common factor of q and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**2 + 11*u**2 - 2 + 2*u + 14*u**2 as x*u + a + r*u**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. What is the units digit of q(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793494772?\nAnswer: 2, 3, 1583, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 3120484*m**2\/11 + 1217246197026*m\/11 + 4868435598408.\nAnswer: 2*(m + 44)*(m + 780099)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 1452, 2178, 2904, 3630?\nAnswer: 4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.95 + -0.05. Let k = y + 2.8. Which is the closest to -0.2? (a) 3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 41*p + 42*p = 101, -5*j = -2*p - 284. What is the smallest common multiple of 7 and j?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 273 - 273 in the form r + q*s and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9\/2*r**2 + 3\/4*r**4 - 3*r + 3\/4*r**3 = 0. Calculate r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + 3*m + 5. Let o(g) = 3*g**2 + g - 9. Let y(d) = 13*d**2 - 4*d - 28. Let t(f) = -2*o(f) + y(f). What is 5*h(s) + 3*t(s)?\nAnswer: s**2 - 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.92 + 0.08. Let z = 3.1 - v. Let p = z + 0.1. What is the second biggest value in -1\/8, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*a - 4*b, -29*a - 5*b + 35 = -27*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 403339 and 0.14.\nAnswer: 56467.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1062, 2121, 3180?\n\"Answer: 1059*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, -0.3, -2 in decreasing order.\nAnswer: 1\/25, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and (-10064)\/(-153) + (-84)\/(-216)*(-4)\/(-7)?\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162\/133 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let q(r) = 288555*r + 4. Give q(w(u)).\nAnswer: 577110*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 12372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -33\/7 (b) -2\/13 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3) - 0) + 177\/9. Suppose -12*c + v = -10*c. Suppose 9 = c*m - 21. Solve m - 1 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**3. Let r = 1 + 0. Let f = 5091 - 5093. Let v(s) = s**3. Give f*v(l) + r*m(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 19*z)*(-23*z**2 + 17*z**2 - 41*z**2).\nAnswer: -752*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15*i = -r - 18*i - 7, -123*r = -126*r + i + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = 42. Suppose 0 = -2*a - 2*k + 10, 0 = -3*a + 5*k + 2 + 5. Let h be (4\/(-6))\/((-18)\/81). Solve -h*l + u = -a*s - 6*l, 12 = 2*s - 2*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108742035*u**3 + 242554044*u**2 wrt u.\nAnswer: 652452210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5*v**3\/3 - 37*v**2\/2 - 28*v + 3135. Give f(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113932955 by 5.\nAnswer: -22786591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(85\/153))\/((-3)\/(-2)*11)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*sqrt(320) - sqrt(20))*2)\/((2*-2*sqrt(80))\/sqrt(8)) + 2.\nAnswer: 2 + 17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 35 = 2*m - 2*t, 14 = -6*m + 5*t - 129 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1\/150*o**5 + 3*o**2 + 0 - 7*o + 4\/15*o**3 - 1\/15*o**4. Let h(z) be the first derivative of l(z). Factor h(g).\nAnswer: 2*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, z: 7}. Give prob of picking 3 o and 1 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729583953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26 - 0.3. Let y = -0.9634 + 2.9634. Put 5, c, y, 4 in ascending order.\nAnswer: c, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -647.\nAnswer: -7\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:38 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29714 + -1.70286. Which is the closest to h? (a) -4 (b) 59.8 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(117)*1)\/sqrt(9) + (sqrt(13) + sqrt(39)\/(sqrt(3)*-1))*6)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1669 - -1667. What is the fourth smallest value in a, 0.1, 13, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 412307 = -67*w + 4576499. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 8. Let g(o) = -o**2 - 1. Let u be g(q). Let d = -18 + 18.3. Which is the second smallest value? (a) u (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403341 (base 5) in base 16?\nAnswer: 32ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/16 and -59\/1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16734, 16680, 16626, 16572, 16518?\nAnswer: 16464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 40*m. Let v(t) = -159*t + 264. Determine 4*f(c) + v(c).\nAnswer: c + 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 - 68*x**2 + 68*x**2 + (x**2 - x**2 - 2*x**3)*(-x - 5*x + 4*x) - 3*x + 3*x + x**4 to m*x**2 + c + q*x + l*x**4 + n*x**3 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccdd when four letters picked without replacement from dcdddccdddcddd?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 4*i - 35 + 7, -5*i = -d + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -364, -790, -1500, -2590, -4156, -6294, -9100?\nAnswer: -12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/10*60\/18. Let z(u) be the second derivative of 1\/4*u**4 - 4*u + 0*u**5 + 0 + 0*u**3 + 0*u**2 - 1\/10*u**g. Find the third derivative of z(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 1, z: 1}. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 912, 1943, 2942, 3909, 4844, 5747, 6618?\n\"Answer: -16*v**2 + 1079*v - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 + b + 1. Let f = -3 + 9. Suppose -m = -f*m - 10. What is the units digit of s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546, -1528, -1508, -1486, -1462, -1436?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 0, 369133?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 2*p - 4. Let x be j(-4). Suppose 3*s + 1 = x*s. Let d = s + 4. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40588, 162571, 365928, 650701, 1016932, 1464663?\n\"Answer: 7*b**3 + 40645*b**2 - b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 103 - 24*j)*(-3 + 3 + 2)*(-1 + 0 + 2) + (3 - 2*j - 3)*(2 + 3 - 3).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, 4\/5, -33?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(77\/56).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(80) + sqrt(80) + -1)**2 - sqrt(80)) + sqrt(80)).\nAnswer: -1605 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11807 * 5373\nAnswer: 63439011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:49 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 5*r**2 - 14*r - 4. Let n(x) be the first derivative of x**4\/4 + 2*x**3 - 7*x**2 - 5*x + 9297. Determine 4*n(h) - 5*u(h).\nAnswer: -h**3 - h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 q when three letters picked without replacement from {o: 3, u: 2, l: 2, v: 3, r: 3, q: 1}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**8\/1064 - f**7\/399 + f**6\/1140 + f**5\/570 - 5*f**2. Factor v(z).\nAnswer: 2*z**2*(z - 1)**2*(3*z + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 11:47 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.1 and -3?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/5 in -12\/43, 1833, 0.03?\nAnswer: -12\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -2.7. Let h = -103 + 106. Which is the smallest value? (a) -2\/9 (b) 0.5 (c) u (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1185\/(-20)*16\/(-6). Suppose -g + 2*u + 68 = 0, -5*u = 4*g - 311 + 26. Let c = f - g. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*n - 5. Let y(l) = 7 - 4*l + 3*l - 7. Let t be y(0). Solve t = n*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let j(z) = -4*z - 2. Let m(r) = 5*d(r) + j(r). What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1.49, -21, -0.14.\nAnswer: -21, -1.49, -0.14, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165332 by -4.\nAnswer: 41333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831965.\nAnswer: 5, 566393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 24) + (-1 - (5 + -3)) + 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6165186*v**2 - v. Let x(k) = 4*k. Give r(x(h)).\nAnswer: 98642976*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -118.6. Let t = k + -24. What is the second biggest value in 5, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4289*n**2 + 76*n - 23. Determine k(1).\nAnswer: 4342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.13 - -46.53. Let s = v + -40.8. Which is the nearest to 0? (a) 2\/5 (b) s (c) -2\/13 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*m + 29, 33 + 123 = 4*h + 4*m. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -0*p, -817 = -x + 2*p. Suppose 0 = 10*w - 157 - x. Does 61 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -66, 94, 402, 906?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) 353 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3) - (-1 - 0). Suppose 13 = b + 5*j - 429, x*b - 1337 = -4*j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1512484*x + 6049924. Calculate f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7822366 = -7*g + 551466. Round g to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = 2. Let o = g + -7. Which is the closest to -1? (a) 4 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from yykkcykccyk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101527?\nAnswer: 7, 37, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*g - 3 = 0, 3*t - 1 = 2*t - g. Let a = 1 + t. Suppose -a = i + i. Which is smaller: i or 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + i + i**2 + 4*i**2. Calculate t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 45 = -j, 14 - 37 = -3*j + v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e (base 15) to base 5.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (665\/(-76))\/(0 - 1\/16).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -854.559209 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/15 - 740404*y\/15 + 987152 = 0.\nAnswer: 20, 370182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*f + 945 = 172*f. What are the prime factors of f?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1675\/7 - 239. Solve -6\/7*h - d*h**2 - 4\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 10. Let v be d(-8). Let w = -92 + 95. Suppose w*i - 4 = v. Solve 0 = 2*f - 0 - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 - i**3\/3 + i**2 + 2*i. Calculate the remainder when 2 is divided by p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 138*c - 142*c - 135*c - 2*c**3 + 421*c + 7 in the form l + t*c**2 + x*c**3 + w*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 554 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -47*k + 32. Is r(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21447*w - 16*w**2 - 4*w**2 - 42902*w + 21455*w.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) 5 (c) -104\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 + 6*s - 7. Let c(a) = -2*a**3 - 3*a + 4. Let h(r) = -5*c(r) - 3*x(r). Let z = 5 - 2. Does 13 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, -12, 0.2, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02500142 - 0.025. What is j rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 5. Let b(m) = 2*m + 2. Let g(k) = 8*b(k) - 3*x(k). Let t be (1 - 5) + -3 + 4. What is the units digit of g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 0.4, 6, 8\/129, 4 in descending order.\nAnswer: 156, 6, 4, 0.4, 8\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 520 - 11?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8*b - 330 = -10*b, 3*h - b = 479. Let d = 162 - h. What is the biggest value in -3, -5, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/2135, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -12. Suppose 2*r + l*b = 190, -5*r + 0*b = -4*b - 508. Suppose -2*a - 2*a + r = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18065 - 17719. What is the remainder when c is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i**3 - i**2. Let b be (3 + -1)*4 + (5 - 9). Suppose 5*d = 5*p - 5, -p - b*d + 5 = 4*p. Calculate c(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 17, 15 in descending order.\nAnswer: 17, 15, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 100*z + 11735. Determine b(-117).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 8905 - 8899 + 38*j.\nAnswer: 38*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5310)\/(-221250)*30\/(-3))\/(1*-2)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 527*r - 143*r - 130*r - 125*r - 127*r. Let i(x) = -3155*x**2 - 1. Give f(i(o)).\nAnswer: -6310*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d + 1. Let n(v) = -12*v**2 + 14*v - 14. Give 3*n(b) + 42*z(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3397, 2, 4, 0, 5, -2 in descending order.\nAnswer: 3397, 5, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*m**3 - 207*m**3 - 3*m**3.\nAnswer: -408*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 3*s**5 - s**5 + (-2*s**4 + 2*s**4 + 2*s**4)*(-7*s + s + 0*s) - 2*s**5 + 2*s**5 + s**5.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 183725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-3)\/(-8)). Let o = 0.1145 + 3.8855. Which is the closest to 0.2? (a) y (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 - (11 - 9). Let l(r) = -208*r**m - 208*r**2 + 418*r**2. Let n(d) = -3*d. Give l(n(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otssfnfsfo. Give prob of picking 1 s and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 6*o**2 + 4*o. Let t be g(-4). Let v = -28 - t. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahaaahaaaah. What is prob of sequence ha?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88556 is divided by 714.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*k**2 + 23\/2*k + 70 = 0. Calculate k.\nAnswer: -5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3360 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/((-56)\/76))\/(49\/14). What is the closest to -29 in 5, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133\/30 - -13\/3. Let w = 42 + -47. Which is the smallest value? (a) k (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 4:30 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-208)\/(-8) + -6)*-21. Let c = m - -494. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3350\/(-18760)*56\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -139, -4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-36) - -10*(-26)\/(-36). Let s = v - -96. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - -3*sqrt(78)*2) + (sqrt(78) - (sqrt(78) - sqrt(78)*2))*1 + sqrt(78))\/(4*3*sqrt(600)).\nAnswer: 11*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 minutes before 10:24 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from ataeeteaaa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -10 - -7) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1 = i - 3, 3*h = -2*i + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140*s**2 - 193*s - 8048?\nAnswer: 280*s - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**4 - 12*b**3 + 12*b**2 + 9*b. Let p(j) = -j**4 - j**3 + j**2 + j. Let n(s) = 12*p(s) - w(s). Find the second derivative of n(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 43. Let h = 4674 - 4661. What is the remainder when f is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 d when three letters picked without replacement from ldlllduhlwlslll?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as 566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 39 + 27 = 0. What are the prime factors of 18\/(5 + (-59)\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0227121151 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 1\/24*a**4 + 1\/120*a**6 + 0 + 0*a**2 - 1\/120*a**5 + 2\/3*a**3 + 7*a. Let r(y) be the second derivative of b(y). Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (60 - 35 - -12).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - x + 16, -3*l = -5*x + 8. Let w = 23 + l. Let y = w - 11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 7\/2 (c) 2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:55 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 23. Suppose 2*g = 22 + 20. Suppose g*q = 19*q - 24. Let u be d(q). Solve i = u - 4, 3*s - i - 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114601 (base 9) in base 13?\nAnswer: -25549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 6644295*o - 6644294.\nAnswer: -(o + 1)*(o + 6644294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2486224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**3 - h**2 + 5*h + 5. Let c(n) = -2*n + 34. Let d be c(18). Calculate the remainder when b(d) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - 145. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 10. Suppose 37 = -a + 47. Suppose a = -9*q + 10. What is o(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -146, -226, -310, -398, -490?\n\"Answer: -2*o**2 - 70*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 22, -0.12, -8, 1\/5, -4, -1.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4854404, 4854411, 4854424, 4854443, 4854468, 4854499, 4854536?\n\"Answer: 3*b**2 - 2*b + 4854403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10 = -3*a - 4*q, 2*a = 4*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24317134, 24317145, 24317156?\n\"Answer: 11*a + 24317123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 11*r**2 + 8*r - 2. Let s be p(10). Let a be (-2)\/s*22\/4. Is -31 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381692741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1820*w + 11121. What is the tens digit of r(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3)\/((-3)\/2). Let r = 5 - m. Suppose -r*z + 16 = -2*x - 5, -5*z + x + 35 = 0. Solve -2*v = -z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*u = -35, 0 = -3*u - 2 + 17. Let y be -4 + c - (5 - 8). Let i be 24\/36 - (-10)\/y - -6. Let k(v) = 2*v**2 - 4*v + 1. What is k(i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3286 and 3.\nAnswer: 9858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 34 = 26. What is the lowest common multiple of 12 and (-38)\/(-4) + 1\/((-12)\/q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12 = -32. Suppose x*g - 2*j - j = 7, j + 11 = -3*g. Let v(a) = 7*a**2 - 2*a - 2. Calculate the remainder when v(g) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1608516 + 3942*q + 1608516 to d + z*q and give z.\nAnswer: 3942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Let m = 22 + p. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 7*o**2 - 8. Let t be h(-5). Let c = -226 - t. Is c at most as big as -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -42. Let g(a) = a**2 - 7*a + 9. Let s be g(6). Suppose s*p - 2 = -0*p - 5*u, 4*p = -u + h. Solve p*m = -11 - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgg when three letters picked without replacement from ggtefgkffk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 3*t + 3. Let r(p) = -8*p**2 - 7*p + 5. Let u(w) = 5*n(w) - 3*r(w). Calculate the remainder when u(-3) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.32*18.9.\nAnswer: 24.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2. Let p(w) = -1. Let j(s) = 4*p(s) - x(s). Let m be j(3). Let 6*a - 27*a**2 - 2*a**3 - a**m + 6 + 21*a**2 - 3*a = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101337903?\nAnswer: 3, 11259767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.83274 to 1 decimal place.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 + p. Let h(q) be the second derivative of -q**4\/2 - 6191*q. What is h(t(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 3552900*h**2 + 3552897*h.\nAnswer: 3*h*(h + 1)*(h + 1184299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14690 and 4030.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 709ab4 (base 12) to base 16\nAnswer: 1ad6e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - (-264)\/121. Let l(m) = -m**2 + 0*m**w + 2*m**2. Let n(a) = 3*a. Let x(c) = 7*c. Let u(f) = -5*n(f) + 2*x(f). What is l(u(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 240\/70)*21\/(-90). Factor 28\/15 + z*n**2 - 2*n.\nAnswer: 2*(n - 14)*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -335340, -671605, -1007870?\n\"Answer: -336265*h + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Suppose -390 = -b - s*b. What is the units digit of b\/(-4)*(-70)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k + 12. Let s be u(-5). Let d be ((-36)\/(-45))\/(0 + 2). Which is the closest to d? (a) s (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 23748*j**2 - 779328*j.\nAnswer: -4*j*(j - 5904)*(j - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 112, 98?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -0.2, -1\/6 in descending order.\nAnswer: -0.02, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -40. Let w = -4 - h. Let m = 6.8 - w. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 + 1773172*s**3 - 196509570432*s**2 + 196507797264*s = 0.\nAnswer: 0, 1, 221646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58810, 235246, 529328, 941068, 1470478, 2117570, 2882356, 3764848?\nAnswer: 4765058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(1*(-1)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14402879147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 238944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279 - -269. Let x be 1 + -3 - (i + 6)*2. Solve 0 = -3*m - 0 + x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3 + 1\/24*h**4 + 0*h + 1\/3*h**3 + h**2. Let k(g) be the second derivative of j(g). Differentiate k(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (48 - 20 - 35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and -16\/13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*f + 12, 6 = -k + f + 4. Suppose -k = u + 2, 102 = g + 3*u. Calculate the remainder when g is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2858859 and -0.3.\nAnswer: 2858858.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18506982 and 2886?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77547563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -39 - 29. Suppose l + 123 = -18. Let v = -139 - l. Solve 0 = 3*o + z - v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 221, 16.\nAnswer: -5, 16, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3320 - -7723. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 32\/(-20)*20\/8. Suppose x = -5*h - 15, 2*h = 2*a + 7*h - 1347. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 155, 1, 4.\nAnswer: -2, 1, 4, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 3756 + 29394. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(12\/7)*a*a)\/a*a**(-4\/3) assuming a is positive.\nAnswer: a**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q**2 - 5*q - 13. Let s be o(10). Let t be 2\/8 - s\/(-44). Let u be (-23)\/(-5) + -2 + t\/(-34). Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:19 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 29*h = 8. Solve -4*g - 4*x = -2*g + h, x - 10 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 763 (b) -0.03 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.965464l?\nAnswer: 1965.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17057 - -34694. List the prime factors of a.\nAnswer: 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 + 3*l + 1. Let x(s) = s - 3. Let h(g) = -g**3 + 23*g**2 - 81*g + 97. Let q be h(19). Give q*w(n) + 3*x(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) + 2 - (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = j, 17*d + 9 = 2*j + 18*d. What is the lowest common multiple of 413 and j?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89873193359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1168 and 278874892?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 392*l**2 - 302*l + 3. Let y(h) = -457*h**2 + 303*h - 4. Calculate -7*f(d) - 6*y(d).\nAnswer: -2*d**2 + 296*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-5 + sqrt(76))) + sqrt(190)\/(sqrt(10)*-2).\nAnswer: -3*sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -j + 41, 25 = 5*j. Suppose -y = -i, 2*i - o = 4*y - 1. Let f be (-259)\/28 - -9 - 1\/(-4). Put i, f, 3 in ascending order.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 357 = 3*w, -l - 588 = 5*w - 9. Let s = -70 - w. Let g = s + -27. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*x - 1576, -6*x - 3291 = -5*l - 1321. Calculate the remainder when l is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2328 (base 11) to base 5.\nAnswer: 44210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-6) - (-2)\/(-6). Suppose 3*s + 5*l = 5, -3*s + 0 = -g*l + 5. Solve s = -3*m + 4*d + 9, -4*m = -5*m - d + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121652, 121619, 121564, 121487, 121388?\n\"Answer: -11*k**2 + 121663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2916*r**5\/5 - 3405892*r**4\/5 - 30884516*r**3\/5 + 42372*r**2\/5 = 0?\nAnswer: -9, 0, 1\/729, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 38*z + 24. Let r be h(8). Solve -r*b - 30 - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-6))\/1*48\/14. Let f = 4 + -1. Let x be 55\/15 - (2\/3 - 0). Solve -f*y = x*d, u = -2*y + 3*y + 4*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 7. Let n be s(-5). Let t = 45 - n. Suppose 12*d + 189 = 15*d. Calculate the remainder when d is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00948 - 0.19052. What is the biggest value in -1, n, 3, 2\/7, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 14. Let v = f - 23. Suppose -v*a + 29*a = 115. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/532 + 50\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 3 - c**4 + 3*c - 12*c + 4*c - 2*c**3 - 4 to the form t*c**3 + d*c**4 + q*c + h + l*c**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 1.7. Let r = 4 + -2. Let n = 10 - r. What is the second smallest value in -4, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s. Let j(q) = 3*q**2 - 9*q + 1. Let v(k) = k**3 - 3*k**2 - 2*k - 10. Let a be v(4). What is a*j(u) - 5*i(u)?\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7806 + -0.0534786.\nAnswer: -7806.0534786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1030 divided by 2\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4850996.8195047 - -6759631.98049506. Let d = f + -11610628. Let u = d + -0.8. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 52 = 7*t. Let q be ((-69)\/(-46))\/(2 - t\/(-16)). Suppose -1578 = -4*l + 5*h, 3*l - h = -q*h + 1197. Does 57 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1206\/21)\/(-1)*7. What is the remainder when (2\/(-3))\/(4\/u) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 1)*(-34*r**5 + 433*r**2 - 433*r**2).\nAnswer: -238*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/54*3 + 25\/(-150). Let o(g) = -g**3 - g**2 - 1. Let m(x) = -5*x**3 - 5*x**2 - 4. Let t(c) = m(c) - 4*o(c). Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228643968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 716 divided by -442\nAnswer: -358\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1390819 and 1349.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011491 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501288360 rounded to the nearest 1000000?\nAnswer: 4501000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3083 - -3081. Sort 5, -653, i, 0.\nAnswer: -653, i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -184*z - 111 - 441. Let k(p) = 3*p**2 + 3*p - 5. Calculate k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1.9, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630921 is divided by 157442.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006267015 rounded to seven dps?\nAnswer: 0.0006267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**4 - l**3 + l - 1. Let j(c) = -10*c**5 - 42*c**4 + 16*c**3 - 12*c + 12. Let d(r) = -12*f(r) - j(r). Determine t so that d(t) = 0.\nAnswer: -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200.919 + 9.\nAnswer: 209.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388926655 less than -0.05?\nAnswer: -2388926655.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-5)\/(-55) - (-1317)\/33 and 65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 8. Let h = 9 + -15. Let o(l) = 6 + 1 - 8. Let r(i) = h*o(i) - k(i). Let w(u) = u + 1. Determine -r(c) - w(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(5) + sqrt(3) + -3 + -1*sqrt(3)*-3.\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/13 + 9871120*w**2\/13 + 49355638*w\/13 + 59226780\/13 = 0. Calculate w.\nAnswer: -3, -2, 4935565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, -0.5, -4, -7, 9 in increasing order.\nAnswer: -33, -7, -5, -4, -0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68676317, -68676327, -68676349, -68676389, -68676453, -68676547, -68676677, -68676849?\n\"Answer: -s**3 - 3*s - 68676313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 1, e: 3, y: 2}. Give prob of picking 3 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*a + (-a + 0 + 0)*(-1 + 1 + 2) + (4 - 1 - 1)*(a + 0*a - 3*a) + 2*a - 1 + 1.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = o + 59 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, w: 3, b: 1, o: 1}. Give prob of sequence bow.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355704.\nAnswer: 2, 3, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*s - 14 = 0, -5*s = 2*p + 2*p + 2. Suppose w = -3*v + 22, -3*v + 2*w = p*v - 22. Let d = 10 - v. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 8. Let r be q(-6). Let l(y) = -2*y - 3 + 0*y + r*y. Let c be l(3). Solve 2*t - 5 = -c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12296.2698 microseconds to days.\nAnswer: 0.0000001423179375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -55434263*z. Let y(x) = x. What is q(y(n))?\nAnswer: -55434263*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 3. Let u(r) = r**2 + r - 42. Let h be u(-7). Let p be i(h). Suppose 0*v - p*v = -15. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271 divided by -80\nAnswer: 271\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1749181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7374785 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 - 48*u**2 + 94*u + 70. Determine i(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13528*n**2 + 629*n + 5?\nAnswer: -27056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57*(-153)\/(-3876)*-4*(168\/(-18))\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 6. Let a(p) be the third derivative of p**5\/60 - p**4\/24 - 10*p**2. Let u(y) = 5*a(y) - l(y). What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. What is the remainder when (-12)\/(g - -6) - -38 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/110 and ((-285)\/23750)\/((-117)\/265).\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-61))\/(2 - (-2)\/1). Sort -5, -23, t, 5 in descending order.\nAnswer: 5, t, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*t, 5*h + t + 11 = 2*h. Is ((h*1)\/2)\/(48\/(-39768)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 6. Let m be f(-8). Let r = m + -3. Let z(q) = -q**3 - 5*q**2 - 2*q + 4. Let k be z(-4). Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*v + 84, 5*v - 1 = -21. Is -74 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -789, 253, -2 in descending order.\nAnswer: 253, -2, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(-12)\/9*5\/30. Solve -1 = f*l - 3*x - 13, -4*x = -3*l + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*k = 108*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -753 + 771. Solve 0 = -21*x + q*x + 2*y - 14, y - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400339 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 + 25. Let t = 15 - f. Let k = -4 - t. What is the nearest to 1 in k, 0.1, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 80*m**3 + m**4 - 72*m**2 + 95*m**2 - 21*m**2 to the form w*m**3 + y*m**2 + z*m + x + c*m**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28913 and 17946?\nAnswer: 520434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:45 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -10 + 4, 0 = x - r - 3. Suppose -d + 3 = x, -4*d = w - 2. Suppose -3*b - 2*t + w = 0, 1 = b + 3*t - 6*t. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100678131, 100678129, 100678127?\n\"Answer: -2*w + 100678133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*k - 1 - 35 = 0, -2*k - 54 = 3*r. Let i = -2 + r. Let g be (5 - (-21)\/(-6))*i\/18. Which is the third biggest value? (a) 4 (b) 2\/15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (29 + -36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1740*i**3*q*u**3 - 677*i**2*q*u**2 - 2*i**2*u**3 + q wrt i?\nAnswer: 10440*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2229964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 310415386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*u**4\/7 + 814*u**3\/7 + 1860*u**2\/7 + 1006*u\/7 + 4 = 0. Calculate u.\nAnswer: -1, -1\/34, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-6))\/(-5)*-3. Which is the second biggest value? (a) -31 (b) -1 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*a - 485, -2*a - 6*i + 200 = -i. Let h be (-2)\/(-4) + a\/10. Does 10 divide h\/(-25) + 77\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13367796 and 0.34.\nAnswer: -4545050.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -149. What is the highest common factor of q and 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 5*f**2 + 3*f - 8. Let d(w) = -16*w**3 + 24*w**2 + 15*w - 42. Let b(j) = -2*d(j) + 11*l(j). Give b(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = -3*g + 1, 3*i - 2*g = 21. Let q = -3 + i. Let z be (-6 + 3)\/(39\/q). Which is the third biggest value? (a) 5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7. Let t(n) = -1. Let z(w) = -f(w) - 6*t(w). Let a be 10\/5*(3 + 12\/(-3)). Let p(q) = q + 7. Let v(m) = a*p(m) - 22*z(m). Calculate v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 615 + 225. Let a = 48 + c. What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c5c304 - -4?\nAnswer: -1c5c300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3470 by -1735.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keecejeekeejekkkckee. What is prob of picking 2 j?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10344858 and 43\/792.\nAnswer: 1365521256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0436 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z**3 - 6*z**2 - 61*z + 306. Give f(4).\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 28*s - 34. Calculate the remainder when n(5) is divided by 92.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6415\/2 or 3209?\nAnswer: 6415\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22726496, 22726495, 22726494?\nAnswer: 22726493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931284 is divided by 1796?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24766 by -24766.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2232 - 352. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(2052375\/(-383110)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 122*w - 657. Determine v(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 40. Let p be w(0). Let l be (-6)\/30 + (-2)\/(-10). Solve -2*s + 1 = g - 13, l = -5*g - 4*s + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 2*f + 4*f. Let j(w) be the third derivative of w**4\/8 - 5*w**3\/6 + w**2 + 5*w. Let c(a) = -2*a + 4. Let i(r) = 5*c(r) + 4*j(r). Give g(i(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451176287.\nAnswer: 29, 15557803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umwhfswuwwwwu. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**7 + 75*k**6 - 191*k**3\/3 + 5*k + 459. Find the third derivative of h(t) wrt t.\nAnswer: -840*t**3 + 27000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 1442, 3328, 5944, 9278, 13318?\nAnswer: 18052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 4, l: 2, c: 1}. Give prob of sequence ws.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 3410.\nAnswer: 17050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 + ((6 - 84) + 26 - -4).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175479643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163)\/(-326)*(-2 + (-21)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jngn when four letters picked without replacement from {a: 1, g: 2, n: 3, l: 2, p: 2, j: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492 - 62*p**2 - 3*p + 955 + 5*p.\nAnswer: -62*p**2 + 2*p + 1447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*m**2 + 47 - 10*m**2 - 19 - 28.\nAnswer: -133*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*y = -p + 5, -15 = -5*p + 2*y. Let g be -399 - (-1)\/(p\/20). Let t = g - -648. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/(6\/(-180)). Suppose d = -6*t + 3*t. Let w = -0.64 - -0.64. Which is the nearest to 0.2? (a) -4\/7 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -30 - (7 - ((2 - -4) + -6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 3*l + 0*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 22703?\nAnswer: 4\/22703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i + 6. Let p(q) = q - 1. Let v(c) = 64*c**2 + 5 + 7*c + 15*c**3 - 57*c**2 - 14*c**3. Let l be v(-6). Calculate l*d(w) - 5*p(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 10*u**2 + 5*u**2 - 2*u**2 + 2*u**2 + 2*u**2 - 4*u**2 + 4*u**2 + u**2 + (2*u - 1 + 1)*(2*u - u + u) + (0*u - 2*u + u)*(0*u - 2*u + 3*u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -41. Let j(w) be the first derivative of 9*w**2\/2 - 2*w - 12. Let u(i) = 13*i - 3. Calculate p*j(x) - 5*u(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 + 2*m**4 + 7*m**4 - 8*m**4 - 8 + 9 - m + (-2*m**3 - 2*m**3 + 2*m**3)*(0 + 0 - 2*m).\nAnswer: 5*m**4 - m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(413\/(-49) + 8). Let t be 234\/(-45)*-10 - u. Is t smaller than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = -5*s, -2*s = s + 3*y + 12. Let z(v) = -v**2. Let n(k) = k**2. Calculate s*z(p) - 2*n(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = 4*d, -f = 4*d + 2 - 10. Let u be 3\/(f + -8 - (-11)\/2). Solve -c + 7 = -q, 2*c = -q - q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 + 165 + 166 - 2*w**3 + 168 - w - 503 to the form i*w**3 + d*w**2 + y*w + t and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywyyrwwwwywywy. What is prob of picking 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -445089593*j**3 + 889082361*j wrt j.\nAnswer: -2670537558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/7 (b) -4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -0.09 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 481023547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 67 = -8*n + 4 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/5)\/h*h**18*(h\/(((h*(h\/h**(1\/22))\/h)\/h)\/h))\/h*h\/(h*h**(-2\/71)*h))**(4\/31) assuming h is positive.\nAnswer: h**(272938\/121055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46948, 187818, 422602, 751300?\nAnswer: 1173912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 5\/3*f**4 + 0*f + 0*f**3 + 0 + 146*f**2. Let u(g) = -2*g**2. Give u(a(o)).\nAnswer: -3200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -233*o + 1930. Let g be l(8). Calculate the highest common factor of g and 672.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13601634173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 3*u + 64 = 15*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3162056 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -575*o**2. Let v(t) = 2*t**2. What is b(v(s))?\nAnswer: -2300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-4)\/(-7)))\/((-18)\/(288\/(-28))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*g = -126. Calculate the remainder when 52 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4))**(-14\/3)\/((g\/(g*g**(3\/2)\/g))\/(g\/(g*g\/(g**(3\/2)\/g*g)*g)*g)) assuming g is positive.\nAnswer: g**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 - 6*y**2 + 6*y + 6. Let c be (17 - 8)\/(2\/(-4) - 1). Let h(b) = -b**2 + b + 1. What is c*h(o) + j(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 604, 1533, 31 in decreasing order.\nAnswer: 1533, 604, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.2. What is the smallest value in -0.3, 0.2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (0 - (2 - 4)). Suppose n = -p + 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 11*j**4\/12 - 10*j. Let k(x) = -x. Calculate z(k(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215433*r**2*x**3 + 12018*r**2*x**2 + r**2*x - 10*r*x**3 - 2*r*x**2 - 567*x**2 wrt x.\nAnswer: -1292598*r**2 - 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 - 7*l - 74 + 427.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26059978 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:34 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4111800 and -67\/12100?\nAnswer: 45229800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let z(k) be the first derivative of -7*k**2 - 488 + 429 - 46*k**2. Calculate z(h(c)).\nAnswer: 106*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17998\/(-5 - (-78)\/18). Let t = -61597 - k. What is t rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -397197, -794388, -1191579?\n\"Answer: -397191*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-19)\/(-3). Which is greater: 8 or y?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 2 - 3 - -4. Suppose -y + 26 = -q*d + y, -4*y + 12 = d. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 10886*w + 344318. Determine f(-1056).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99138*t**2 + 25*t - 8356*t**2 - 35*t.\nAnswer: 90782*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (34 - (-4 - -45))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9706376 divided by 4?\nAnswer: 2426594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**6 + 14*h**5 + 16*h**4 - 26*h**2 + 15*h + 6 wrt h.\nAnswer: -1800*h**3 + 840*h**2 + 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6395.\nAnswer: 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1086, -9, 122 in decreasing order.\nAnswer: 122, -4, -5, -9, -1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -479*k**4\/4 + k**3\/3 + 265*k**2\/2 - 4*k - 961. What is the second derivative of w(x) wrt x?\nAnswer: -2874*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 162. Let g = -110.0000059 - b. What is g rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {q: 3, v: 6, g: 4, j: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30977654*u**4 + 3903984*u**2 + 2*u wrt u.\nAnswer: 743463696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(60)\/(sqrt(12) + sqrt(432)))**2 + -5.\nAnswer: 75\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64855199*v*y - 520693*y + 415 with respect to v.\nAnswer: 64855199*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, z: 2, x: 2, u: 1, a: 3, y: 1}. What is prob of sequence uxzy?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-29892696.\nAnswer: 2092488.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*c**4*t - 31*c**4 + 198*c**3*t - c**3 + 4*c**2*t - 150*c**2 - 2*c*t - 662*t + 1 wrt c?\nAnswer: 12840*c*t - 744*c + 1188*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2306243.\nAnswer: -691872.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19839 + -5424. Let y = -5079 + 2894. Let o = s - y. What is o rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 32. Let g be d(9). Let s(c) = c - g*c + 4*c - 3*c. Let p(i) = -14*i. What is s(p(x))?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 9*o**6\/40 + 14*o**3\/3 - 34*o**2. Differentiate b(f) with respect to f.\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t\/t**(7\/2))\/t*t*t\/((t\/t**17)\/t))**(1\/2) assuming t is positive.\nAnswer: t**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**6\/6 - 17*s**5\/15 + 3*s**4\/4 + 17*s**3\/9 - s**2 + 202. Determine j, given that n(j) = 0.\nAnswer: -6, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/((972\/(-24))\/27))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, r: 2, e: 3, d: 3}. What is prob of picking 1 r, 1 e, and 1 d?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**3 + 3*i**2 + 9*i - 26. Let k be d(8). Suppose -11*t = -22*t + k. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 1 - 1. Let j be ((-3)\/15)\/(9\/5 + -2). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24 and 17\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5, 26*y - 3*v = 21*y + 43. Let i be ((-9)\/6)\/((-18)\/96). Let a be 2\/i - (-330)\/24. Solve 3*l = -2*g + y, g - 3*l + 0*l = -a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 269916\/23, 5 in descending order.\nAnswer: 269916\/23, 5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 10*g + 13. Let d be y(-11). Let i(o) = d*o**2 - 8*o + o + 7*o. Let v(x) = 0*x**2 + 2*x**2 + x**2 - x**2. Give i(v(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 2*g - 4 + 1 - 2. Let s(n) = -1. What is 3*i(v) - 15*s(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 - (-1 + (-6 - -10 - 0)) and (13 - 0)\/(26\/(-14) - -2)?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-64)\/240\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-110)\/(-11) - -39)*341.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -18*n**2 + 3*n. Let a(z) = -18*z**2 + 2*z. What is -3*a(x) + 2*u(x)?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**7\/98 + 11*k**6\/70 + 99*k**5\/140 + 9*k**4\/28 - 27*k**3\/7 + 528*k + 1. Let d(g) = 0. Calculate g.\nAnswer: -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 8 + 2*j + 5*j**2 - 3*j**2 - 3*j**2 - 6*j**3 to the form p + s*j**2 + i*j**3 + h*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0*l + l + (12*l + 54*l + 71*l)*(-2 + 3 + 1).\nAnswer: 273*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(56\/24 + 2). Which is the closest to -1? (a) -0.5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157\/43969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 335 + -119. What is the greatest common factor of z and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193961 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733?\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 41 = -7*x + 4*a, -5*x + 45 = 5*a. List the prime factors of ((-5)\/4)\/((10\/(-64))\/x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 5608*g - 5608*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101805899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 3, u: 5, o: 1}. Give prob of sequence eueo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 2 w when four letters picked without replacement from rwrwrwwwryrwwwwrw.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170777?\nAnswer: 170777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121128 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 0 - sqrt(2736)) + 5 + ((sqrt(2736) + 0 + sqrt(2736))*2 - sqrt(2736)))**2.\nAnswer: 360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0, -12, -3343\/52 in descending order.\nAnswer: 2\/11, 0, -12, -3343\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9821 + -9823. Which is the closest to 0.04? (a) 1 (b) -1\/12 (c) w (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 18449997?\nAnswer: 184499970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let p(q) = 14*q - 21. Let x(s) = -s + 1. Let a(d) = p(d) + 7*x(d). Let w(c) = a(c) - 7*l(c). Does 7 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 3*w**4 - 2*w + (3*w**3 - w**3 + 0*w**3)*(2*w + w - 5*w) + 0*w**4 + 5*w**4 - 4*w**4 - w**4 + 3*w**4 + 0*w**4 + 0*w**3 + 0*w**3 + w**3 + w**4.\nAnswer: -3*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(47\/3)\/(d**0\/d)**45)\/(d**1*d**(-3)*d**(-4\/7)*d*d**5) assuming d is positive.\nAnswer: d**(291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + (6 - (3 - -1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2499 and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 7*j**2 + 7*j**2 - 3*j**2 + 6*j**2 + 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, b: 2, m: 1}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195534 and 369342.\nAnswer: 3324078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-752)\/(-24))\/((-8)\/(-6276))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*a**3*b**2 - 949*a**2 + 318844*b**2 wrt a.\nAnswer: 153*a**2*b**2 - 1898*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15460781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 15*j + 428. Calculate m(16).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0 + 0*v + v**2 + 0*v**6 - 1\/168*v**8 + 0*v**7 + 1\/30*v**5 + 0*v**4 + 0*v**3. What is the third derivative of d(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 4. Suppose 4*z + 2*q - 15 = z, -z + a*q = -5. Suppose 4*v = z*k - v - 10, k - 8 = -5*v. Solve k*o = -o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011737 divided by -287391?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -100 and 144.1318002.\nAnswer: 44.1318002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 15*r = -4*r - 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 54617 (base 8) to base 11\nAnswer: 16253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-303)\/21 - -7 - -7 - 4152\/(-8904).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2293, -8055, -17293, -30007, -46197, -65863?\nAnswer: -89005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*6\/(-426)*(-11)\/(-22))\/2.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4722 and 36.\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 19 + 11)*(2*m + 8*m - 11*m).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 9*i - 8. Let b be k(-7). Calculate the common denominator of 2\/b*(-10)\/(-15) and 5\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5))**(-31)*(w\/(w\/(w\/(w**(-13)\/w))))\/w*w*w*w*w*w**(-9))**5 assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 189499259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1160)*5267\/321287.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.7 (b) 0.5 (c) 2\/7 (d) 6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 8*k**4\/3 - 97*k. Let x(z) = 12*z. Give q(x(c)).\nAnswer: 4608*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 129 = 5*i, -u + 3*i + 43 = -23. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**3 + 615*z**2 + 77*z + 14. Give i(77).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 - 143. Suppose -4*b = 5*q - f, 0 = -q - 2*b + 27 + 7. What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/30 and 4\/2070729?\nAnswer: 20707290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(25) - 3*sqrt(2500))\/(sqrt(5) + (-4*sqrt(25))\/sqrt(5)) + 5.\nAnswer: 8 + 29*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6923 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19 - 8965\/(-473) - 1119212\/(-172). What is the greatest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2173358*l + 7 + 7 - 2173022*l - 14.\nAnswer: 336*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l - 2. Let w be q(-2). Let n = -4 - w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/6 - z**3\/2 - 23*z**2\/2 + 5018*z. Give x(-7).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(135)\/sqrt(5) + sqrt(27) - (sqrt(108)\/(sqrt(3) - -2*sqrt(3) - sqrt(3)))\/sqrt(12).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 10*b - 6*b**2 + 5*b**2 - 9 + 4*b**2. Let k be q(6). What is the smallest common multiple of 2 and (1 + k\/(-6))\/((-18)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/50)\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1\/6*4. Suppose 6*k = s*k + 320. Let v = k + -38. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 4 + 0 + (10 + 0 - -33)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -10418.\nAnswer: -9\/10418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2489004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1\/10, 35\/16, 212 in decreasing order.\nAnswer: 212, 35\/16, 3\/5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opop. Give prob of sequence ppo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 - 1898*i**2 + 11396*i\/3 = 0 for i.\nAnswer: -2849, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s - 4. Let w be l(-4). Suppose -j - 4 = w, -2*p - 2*j + 4*j + 68 = 0. Suppose 30 = 5*y - p. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/12 - 2*c**2. Let y(g) = 4*g. Let k(x) = 3*x - 3*x + 2*x. Let l(v) = -7*k(v) + 4*y(v). Calculate l(a(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1016, 0.5, 3, 2\/13 in descending order.\nAnswer: 1016, 3, 0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:59 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 + 3 + 12 + -21 + (-72)\/(-8). Let g(q) = -9*q - 5. Let a be g(-4). Let n = a - 11. Calculate the highest common divisor of n and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 2. Let m(k) = -6*k + 7*k - 4*k + 0*k - 4. Determine 9*i(v) - 4*m(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16 - 4. Let w be (2 - (-8)\/(-5))*((-1488)\/(-128) - 11). What is the closest to w in 0.3, c, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 13. Let g be v(-4). Let i be (3 - 6\/g)\/((-5)\/(-45)). Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29619.58 litres in millilitres?\nAnswer: 29619580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 567*t**2 - 10191*t - 265. Determine h(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l - 3*l)*(23 - l**2 - 23) + 2*l**3 - 2 + l**2 + 0*l**3 - 3*l**2.\nAnswer: 4*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2. Let r(c) = 4*c + 23 - 13*c + c + 4*c - c. Determine r(z(x)).\nAnswer: 5*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120775915 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -553.04565 rounded to zero dps?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + sqrt(660)\/sqrt(99))\/((2*sqrt(100))\/sqrt(10)))\/(-3*(4*sqrt(363)*3 - sqrt(363))))**2.\nAnswer: 8\/1185921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 140*w**3 + 32*w**2 + 28*w + 16. Let o be g(-21). What is o rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*z - 8, 0*z - 7 = -2*z + 3*k. Let u = z + -1. Let h = 5 - u. Solve m - h = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/54)\/(99\/6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/5)\/(-192))\/((-8)\/(-32)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2.3188551.\nAnswer: -11.5942755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03462 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313000002 - -3?\nAnswer: -312333333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 - 106)*(k - k - 2*k)*(0 - 1 + 0).\nAnswer: -216*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 10. Let r be l(-10). Suppose 3*w + r*w + 9264 = 0. Let q = 1758 + w. Round q to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/38, -1.5, -2, 4, -10\/11?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 350*n**2\/3 - 15136*n\/3 - 15488\/3.\nAnswer: -2*(n - 88)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108844, 108867, 108890?\nAnswer: 108913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.1. Let o = -0.21 + -0.09. Let b = o - z. What is the second biggest value in -5, b, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684130.\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -124*y**2. Let w(z) = 7244*z. Give w(c(g)).\nAnswer: -898256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 52 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 - 3 + 18*s**3 - 2*s**2 + 2 + 0.\nAnswer: 26*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109548540 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**8\/280 - b**5\/20 - 2*b**3 - 3. Let o(p) be the third derivative of v(p). Find the second derivative of o(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22889?\nAnswer: 47, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {z: 4, r: 2, q: 3, e: 1, g: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = b. Let g = 1 - b. What is the smallest value in 1, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 162. Which is the nearest to -1? (a) -5 (b) r (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3724 - 3724 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 3*c + 4. Let n be a(-3). Let i = -49 + 50. Let z be -2 - (-4 - -3 - (-2 + i)). Sort -5, z, n in descending order.\nAnswer: n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-22 - -22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = -2*f. Let c(u) = -f + 3*u - 3 + 5. Let b(q) = -127*q + 127*q + 4*q**2. What is b(c(o))?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-6 + -1)**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 9:09 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*y - 66. Suppose 0*q + 2*w - 47 = -3*q, -q = 3*w - y. Calculate the remainder when 27 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 8*b**2 + 2*b**2)*(-10*b + 4*b - 8*b**2 + 9*b**2 + 1).\nAnswer: -4*b**4 + 24*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.3 - 46.2. Let s = -0.04 - 22.96. Let b = 18 + s. Sort b, -3\/4, i, 1\/3 in decreasing order.\nAnswer: 1\/3, i, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8*d - 108. Let l be (1\/(-2))\/(3\/6). Find the common denominator of d + (-1 - (l - 0)) and -21\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 3, l: 2, s: 1, c: 1, d: 11}. What is prob of sequence dsud?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 4*r)*(-99 + 155 + 430 + 533 - 220) as y + g*r and give g.\nAnswer: -3196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 - (33 - (89 + -71)) - 35.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 184936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 - s - 1. Let o be r(4). Suppose -4*f - 18 = -5*q, o = 5*q + 2*f - 9. What is the highest common factor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001234847707 rounded to six dps?\nAnswer: -0.001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201992 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooookooooo. Give prob of picking 4 o.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(60) + sqrt(60) + sqrt(60)*-1)\/sqrt(12) + 3 + (sqrt(15)*1 + sqrt(15))\/sqrt(3) + (-1 + (sqrt(25)\/sqrt(5) - sqrt(5)))**2.\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -18.15, -1, -2, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015 - -3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/2 - 21587*v\/2 + 10793 = 0. Calculate v.\nAnswer: 1, 21586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1320, -2321, -3014, -3399, -3476?\n\"Answer: 154*r**2 - 1463*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301525 divided by -2?\nAnswer: -301525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 2*k**2 + 2*k**2 - 4*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359, -5473, -12349, -21993, -34411, -49609?\nAnswer: -67593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 12. Suppose 3 + 117 = 8*t. Let a(l) = -t + 29*l - 18*l + 15 - 8*l. Calculate a(d(h)).\nAnswer: 3*h - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 211864 and 211857 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 891*f + 1. Let o(r) = 5*r. What is s(o(q))?\nAnswer: 4455*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1581 - 586. Suppose -1917 = -7*b + t. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88\/3 - 29. Let f = -107 - -91. Which is the third smallest value? (a) s (b) f (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.62 - 0.12. Let p = -0.041 + 0.541. Let n = f + p. Sort n, -4\/7, -3 in ascending order.\nAnswer: -3, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(2\/17)*v)\/v*v*v**(1\/9)*((v**(-1)\/v)\/v)\/(v**(-4)*v*v))\/((v\/v**(-1)*v)**(-31))**(5\/3) assuming v is positive.\nAnswer: v**(24020\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 17 - 13 - 8 + (0*p + 2*p + 0*p)*(-3 + 1 + 0) as m*p + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 58, 90, 122, 154, 186?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 931, 1862, 2793, 3724, 4655?\nAnswer: 5586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19239\/(-132))\/((-440)\/160)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46450620 (base 7) to base 6.\nAnswer: -223235023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -23, -89, -213, -413?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*o - 12*o**2 + 659 + 8*o - 493 with respect to o.\nAnswer: -24*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -886 - -894. Calculate the remainder when 190 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqggeqzze. What is prob of sequence qgqg?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160 - -329. Let h = 219 - x. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 + b**2 + 14*b**2 - 12*b**2 - 14*b**2.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -364 - -347. Sort -5, -2, h in ascending order.\nAnswer: h, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/13, -6245.\nAnswer: -6245, -2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 2 - 2 + (2*x + 3*x - 7*x)*(-1 - 4 + 6))*((-16 - 11 - 19)*(2*x - x + 0*x) + (-3 + 7 - 3)*(x - 4*x + x)) as m + h*x**2 + a*x and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 9*l**2 + 42*l + 4. Let t be x(16). Let v = t + 1711. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134604*r**2 + 134604*r**2 + 7*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 31*h**2 + 4*h - 9. What are the prime factors of v(31)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.436507 nanoseconds in hours?\nAnswer: 0.0000000000206768075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 + 236. Suppose -62*d + m*d = 0. Solve d = 6*z - 38 + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-313)\/(-4) + 33\/44. Let d = a - -150. Let h = d + -162. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356241423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p = 25*p + 8. Suppose 13 = 3*u - c, -4*c + p + 10 = 4*u. Suppose -2*x + 11 = -n, u = n + 2*x - x. What is the nearest to -3 in -4, n, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 38. Solve f = 2*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a + 104 - 104)*(7*a**4 + 9*a**4 - 10*a**4) + a**2 + 9*a - 2*a**4 - a**5 - 6*a + 3*a**5.\nAnswer: -82*a**5 - 2*a**4 + a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 10. What is the remainder when b is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-2 - (3 - 13 - -13)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 196 and 204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 2)*(5 + (-5 - -2)). Let p be 4 - (4\/(-80))\/(q\/525). Suppose 0 = 5*c + 3 - 18. What is the second smallest value in c, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159167*f**4 + 64*f**2 + f - 29 wrt f.\nAnswer: -3820008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 599412 and 671?\nAnswer: 36564132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.13 + -20.93. What is the second biggest value in -52\/5, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416936?\nAnswer: 2, 13, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18843 - -18842.7. What is the biggest value in k, 8, -6\/7, -5\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8946121 + -40\nAnswer: 8946081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1897)\/1626*45\/(-35))\/((-3)\/(-184)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3142112 (base 5) to base 10\nAnswer: -52782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1 - 2)*-1. List the prime factors of (-4 + q)*(-3 - 27).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 139\/4, 5\/4, -2\/107, -0.5?\nAnswer: 139\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139650448 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 843 + -771. Calculate the least common multiple of w and 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292690 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1392299 and 1392293 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - f = -2*t + 280, 4*f = 5*t - 361. Let n = t + -55. Solve -3*o + 9 = 2*g, g = 4*g + 5*o - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-5)\/30*(-8)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 6.8. Let l = 0.5 - -0.1. Let c = 1.6 - l. What is the third biggest value in q, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1598\/485 in 2, 0.08, -0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f = 19*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 9 + 26*a**2 + 4\/5*a**5 - 24*a - 28\/3*a**3 - a**4. Factor v(x).\nAnswer: 4*(x - 2)*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + 5)\/(1\/6376*8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/3663*-2766 - 2\/33?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 - 1 + 46955*x - 46958*x. Let o(m) = -49*m. Give o(y(i)).\nAnswer: 147*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -657, -5163, -17381, -41169, -80385?\n\"Answer: -643*z**3 + 2*z**2 - 11*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31390786 a multiple of 479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = -5*d - 5*n, -5*d + 2*n = -35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.085. Let t = b - -0.08499878. Round t to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwm when three letters picked without replacement from {s: 2, u: 3, g: 1, x: 3, w: 5, m: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:48 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636 smaller than -9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 + 152. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:42 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m + 63. Let u be l(7). Let d(k) be the second derivative of k**4\/12 + 7*k**3\/6 + 2*k**2 + k. What is the units digit of d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 2*n + 3*n)*(1 + 1 - 1) - 4*n + n + 2*n + (1 - 1 - 2*n)*(-155 + 531 - 194).\nAnswer: -366*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 - 3?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-1311) - 120\/2223.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 126079016.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/5, 2\/13, 4\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 17 - 14*z + 7 + 0*z in the form l*z + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {f: 1, p: 9, z: 6, s: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11575*578.5\nAnswer: 6696137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39324209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2519 - 2553. Is -100\/3 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 13 = 6*o - 35, 3*j - 3*o = -o - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6681594*z**3 + z**2 - z**2 - 6681588*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/99 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 15 = m. Let i(q) = -q + 115. Let o be i(113). Let r be o - -1*(m - -6). Solve -2*j = 3*b - 5, r*j = -5*b - 0*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-1)\/1*(-3)\/45.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {j: 8, t: 3, x: 2, d: 6}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:47 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2635 + 4434. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 + w**2)*(-1139 + 1139 + 40*w)*(2 + 4 + 1).\nAnswer: 280*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - 251. What is the remainder when 18 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27092, -27091, -27090, -27089, -27088?\n\"Answer: i - 27093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1908.6 (c) -15 (d) 0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52368548, -104737094, -157105640, -209474186, -261842732, -314211278?\nAnswer: -366579824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15145 - 22?\nAnswer: -15211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/6 - 7*c. Let y(t) = -3 - 2*t + 0 + 3. What is p(y(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 985.\nAnswer: 3\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 818499 and 68442.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.2 (c) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1258323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 98 + 7. What is the common denominator of -48\/5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 1, -3154, 3 in ascending order.\nAnswer: -3154, 1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 46 - 6 + 5*l + 36 - 66 - 5.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 58*p - 52. Calculate r(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 15*f + 68. Let r be h(-26). Round r to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2619785*m*q**3 + 145*m*q**2 - 13*m*q - 2*m + 8*q**2 + 10*q wrt q?\nAnswer: -15718710*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 94*t**2 - 2*t - 3. Let j(a) = 7*a**3 + 185*a**2 - 4*a - 6. Give -5*j(p) + 11*u(p).\nAnswer: -2*p**3 + 109*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333, -1346, -3037, -5406, -8453, -12178, -16581?\n\"Answer: -339*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4072 = 8*s + 1056. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 462875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:44 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -906*o + 908*o - 25*o**3 - 4*o**3 to n*o**2 + a*o**3 + f + v*o and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142028*n*x**2 - 117362*x**2 wrt n?\nAnswer: -142028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 4, w: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1196503?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + 3*sqrt(72) + sqrt(72) + 0 - 5*5*(sqrt(72) + -1)))**2 + -4.\nAnswer: -5796*sqrt(2) + 32277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196559, 393116, 589673, 786230, 982787?\nAnswer: 1179344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5099*r**4 - r**3 + 94647*r**2.\nAnswer: 122376*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95a19 (base 15) to base 11.\nAnswer: 2a4783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1666850*m*z - 26*z + 15019 with respect to m.\nAnswer: -1666850*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7123, 28552, 64287, 114328, 178675, 257328?\n\"Answer: 7153*d**2 - 30*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 1\/40*s**6 + 0*s + 3*s**2 + 0 + 0*s**4 + 0*s**3 + 1\/20*s**5. Let b(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 273. Let x(v) = -v**3 - 4*v**2 - 4*v - 4. Calculate the remainder when n is divided by x(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1667566135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u. Let c(b) = 2*b**2 - 3*b. Suppose -9 = 6*t + 3. What is t*c(z) - 6*i(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/18 + (-48)\/(-9). Suppose -w*t - 160 = 660. Is 15 a factor of t\/(-2) - (-4 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13623?\nAnswer: 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 374 = -3*b + 107, -4*f = -12. Let m = 0.8 - -3.2. What is the biggest value in b, -0.1, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + k**2 + k**2 + 0*k - 18.\nAnswer: 2*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.024*0.23\nAnswer: -0.00552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 + 0*j**6 + 0*j**4 - 4*j**2 + 1\/42*j**8 - 1\/30*j**5 + 0*j**7 + 0*j + 0*j**3. What is the third derivative of p(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -95*h**2 - 1. What is o(1)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3)*t**(-4)\/t)\/((t*t**(-1\/4)*t*t*t)\/(t\/(t*t*t**(-1\/5)))))**(-29))**(2\/57) assuming t is positive.\nAnswer: t**(7279\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18)*0\/((-14)\/7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h**2 + 3*h + 97. Let t(b) = -b**2 - 1. Let c(u) = j(u) + t(u). Differentiate c(w) wrt w.\nAnswer: -44*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21 - -1)\/(2 + 0). Solve -4*b + t = -1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(1\/3). Let k(p) = 703*p**2. Is k(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**10*h**(-2)*h**(1\/7)*h)**(1\/4) assuming h is positive.\nAnswer: h**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-25))\/(-2 + 8276\/4135). Let m = 138 - s. Suppose 1\/6 - 5\/6*t**3 - m*t**2 + 5\/6*t = 0. What is t?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1525\/(-183)*(-28)\/(-140)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8)*6 + (-5)\/(-10). Suppose -2*c = k*c - 124. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/8)*l)\/l*l)**(-36))**(-4\/9) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 15*v + 13. Is n(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 33*j. Let u be c(32). What is the hundreds digit of (u\/(-6) - 3)\/(1\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Suppose 2*q + q - 3*o - 60 = k, 2*o = -10. Let h(u) = -17*u**2 + 5 - 2*u + 0 + q*u**2 - 6. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2)\/(-1 - -3)). Let m = -386 + 380. Let k be (-6)\/(-68)*20\/15. Which is the second smallest value? (a) m (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13934931.\nAnswer: 3, 107, 43411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004869 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let r(o) = -4. Let c(h) = h + 1. Let y(f) = 3*c(f) + r(f). Let d be y(1). Let x(a) = 5*a + 5*a - 10*a - d*a**2. What is z(x(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 49 = -13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 76. Suppose 5*a + 16 + m = 0. Let l(n) = n**3 - 2*n**2 + 2*n + 5. Let u be l(0). Sort u, -1, a in ascending order.\nAnswer: a, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**29*m*m**(1\/7))**28)**(-17) assuming m is positive.\nAnswer: m**(-14348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 93, 339, 819, 1611, 2793?\n\"Answer: 13*k**3 - k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(7)*-4)**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4473177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 22, 5, 0.3, 1, -1 in increasing order.\nAnswer: -1, -0.4, 0.3, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 2534189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4843073*j + 70 + 68 - 138.\nAnswer: 4843073*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let l(a) = 2*a**2 - 3*a + 1. Give -4*g(x) + l(x).\nAnswer: 2*x**2 - 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-35)*(-7)\/35\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-84)\/18 + 4)*-681. Let a = 1045 + y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*j**2 - 1 + (0*j + 2*j - 5*j)*(-j - 3*j + 3*j) - 1 + j**2 + 1)*(10 + 19 - 39).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-32*(-380)\/(-160)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17673796 and 3?\nAnswer: 53021388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v. Let h(t) = 3*t + 18. Let z(p) = -4*p - 14. Let k(r) = 4*h(r) + 5*z(r). Determine k(y(m)).\nAnswer: 32*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2010037 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -873?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 23037 = 5*k, -18356 = -4*k + 4*n + 64. List the prime factors of k.\nAnswer: 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 53571*x - 535790. Give b(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33824138 or 33824140?\nAnswer: 33824140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(28 + -2408))\/((16\/5)\/(-8))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 276\/59 and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208, -422, -638, -856, -1076, -1298, -1522?\n\"Answer: -d**2 - 211*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 26.5. Which is the closest to -1? (a) 8 (b) j (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*x + 63592 - 213544 = 175610 - 64847 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 t, and 1 b when four letters picked without replacement from tssqtbqptttstqpqbt?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46865591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - -0.369. Let s = 85.5 - 85.74. Let l = p + s. Round l to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 493128.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213856116?\nAnswer: 2, 3, 23, 113, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4 and -26\/1485?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -243049428 divided by -6751373?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 + -136. Let c be 16\/(-28) + (-8)\/(-14). Suppose c = -4*q + 3*q + 5. Sort q, -2, t, -20 in descending order.\nAnswer: q, -2, t, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -10. Let k = a - -2. Let n = 15 + k. Solve 3*b + 0*m = 2*m + 13, 5*b = 4*m + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/720 - q**4\/8 - 2*q**2. Let r(k) be the second derivative of y(k). Let p(g) = 2*g**2. Give p(r(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 18*n - 55 = 0. Suppose -3*w = 2*w - 105. Suppose -48 = -3*h + 3*a, h - w = -3*a + 11. Calculate the remainder when h is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -102. Let t = r - -59.9865. What is t rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 3. Suppose 765 = -j*w + 13*w. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 16*h + 37. Determine o(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 643871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91 - 831?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000784 rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 + 459*v\/4 + 114.\nAnswer: 3*(v + 1)*(v + 152)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/490)\/((-2)\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7.4, 3\/5, 0, 7 in descending order.\nAnswer: 7.4, 7, 1, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 45*r - 323. Let t be z(9). Which is the closest to 0? (a) 0 (b) 2\/11 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77541353\/1362 + -56932. Find the common denominator of -31\/454 and i.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 divided by 4?\nAnswer: -281\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4, x: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**3 - 5*h**2 - 3*h - 3. Let a(p) = 7*p**3 - 3*p**2 - 2*p - 2. Let u(d) = -7*a(d) + 4*m(d). Suppose -2297*c + 359 = -2656*c. Determine u(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -12 + (16 + -5 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t. Let l be n(2). Let r be (-1)\/(-4) - 34\/8. Let k = r - l. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o + 3*g - 3, -5*o - 17 = -4*g. What are the prime factors of 565\/o*(-42)\/70?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Suppose -5*j + 0*j = -20. Let q be (-1)\/(j\/8 + 0). Which is the nearest to 1? (a) u (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2061*f + 2287*f + 3390 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 5.5. Put g, -3, -0.4 in ascending order.\nAnswer: g, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.916? (a) -1 (b) -4 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1608069.\nAnswer: -321613.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6280 divided by -2088.\nAnswer: -785\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81423 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*l**3 - 4*l**2*r + 3*l**2 - 3*l*r + 2*l + 493*r wrt l.\nAnswer: -90*l - 8*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696542 at most 1696532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 7*t**2 + 15*t - 14. Determine j(5).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f**3 - 4*f**2 - f + 3. Let o be l(-2). Suppose 6*m = o + 239. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002626402789 rounded to 7 decimal places?\nAnswer: 0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 51. Let j be (-8)\/196 - 16230\/(-1470). Calculate the greatest common factor of j and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 + 166*i**2\/7 - 167*i\/7.\nAnswer: i*(i - 1)*(i + 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 858 and 13182?\nAnswer: 145002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 394060*v + 1 - 209207*v - 430837*v.\nAnswer: -1034104*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62644 - 3*z**3 - 62644 + 5*z.\nAnswer: -3*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/9)\/(4\/174). Suppose 3*l - 205 = -4*q, 5*l = 2*q - 182 + 567. Let m = l - b. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 8. Let s = 187 - 174. Suppose 2*r - 66 = s*r. Give y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1001111001101?\nAnswer: 1001111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let u be j(-1). Let g be (-3 - (-10)\/3)\/u. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, a: 2, f: 2, p: 1, l: 1}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6055620 + 297649. Suppose -983037 + g = -8*r. Let c = 478721 - r. Round c to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 0. Solve s*v + 1 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*i - 230 + 166, -4*i = 4*l - 64 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573350 is divided by 191039?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 + 1\/1. Let c be 1 - 8 - (-6 + 2). Let q(v) = -v - 5. Let f(m) = 1. Let i(s) = c*f(s) + q(s). What is i(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-89)\/(-2)*(-6 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55*21\/2772*-3*(-1)\/5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 6, j: 6, c: 1, x: 2, d: 1}. Give prob of picking 1 c and 1 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 5*o + 73, -o = -1265491*q + 1265492*q - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 286763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*p + 55*p**2 + 6*p**5 + 110*p - 65*p**4 + 35*p**3 + 14*p**5 - 95*p + 10 = 0. What is p?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-610)\/(-855)*8 - 6 and -19\/20?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v + 3. Let j = 2 - -2. Let o be s(j). Factor 11*m + 62 - o*m**5 + 14*m**2 - 4*m**3 - 4*m**4 - 12*m**4 - 60.\nAnswer: -(m - 1)*(m + 1)**3*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 6395*m**4\/12 - 5153*m**2 + 2*m - 91. Differentiate f(u) with respect to u.\nAnswer: 12790*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 + 4*c**3*u**2 + c**3*u - 53*c**2*u**2 - u**2 - 182 wrt c.\nAnswer: -24*c + 24*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -311150 (base 6) in base 9?\nAnswer: -37143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = 2, 5*d - 10 = -5*u. Suppose -15 = -h - 15. Suppose h = -d*j + 69 - 39. Solve -j*c = -5*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5489?\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 2456*k + 2455*k + 3 + (-3 + 2 - 1)*(5*k - 4*k - 3*k) + 3*k + 2*k - 3*k.\nAnswer: 5*k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6*6\/(-36). Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1173 - 0.0827. What is the closest to t in -2\/7, 0.2, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4*y - 4\/3*y**3 + 14 - 1\/4*y**4 + 0*y**2. Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/9 - -4) + 38\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816\/(-96)*(-2 - 0) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17264281.\nAnswer: 61, 73, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.979524 nanometers in centimeters?\nAnswer: 0.0000001979524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -3 (b) -1.86 (c) -2\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 808.8009 micrometers?\nAnswer: 0.0000008088009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19647079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eej when three letters picked without replacement from {e: 7, j: 3, z: 4}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(-14) assuming x is positive.\nAnswer: x**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 3*n**2 + 3*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 652*a + 545. Determine s(-108).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (6 - 3)) + (10 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -51. What is the third derivative of 82*w**r + 0*w**2 + 3*w**2 + 7367*w**5 - 15*w - 7367*w**5 wrt w?\nAnswer: 9840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*n + 2 = 7, -2*b = 5*n - 35. Let v(x) = 88*x - 51. List the prime factors of v(b).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -404*t + 6449. What is x(16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -2, 1370, 7, 3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-6)*y**(-5)*y*y**(-2\/13)*y*y\/(y**(6\/11)\/y))**(-7\/11))**(3\/28) assuming y is positive.\nAnswer: y**(-2703\/6292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q + 9. Let g be x(6). Suppose g*o = -n + 53, -2*o + o + 1 = 0. Calculate the greatest common divisor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 563323643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -31, -61, -109, -181, -283, -421, -601?\n\"Answer: -l**3 - 11*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 18 = -27*d. Let n = d - -101. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2400) - sqrt(24))\/sqrt(12) + 0 + ((sqrt(98) - (1 + sqrt(98) + sqrt(98))) + -2*sqrt(32))**2.\nAnswer: 9*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*b + 4143 = 42, -3*y + 5*b = -3054. Let s(m) = m + 4. Let q be s(-2). Suppose -q*o - o = -y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46504.11829 and 0.1?\nAnswer: 46504.21829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -27.6. Let n = -2.4 - s. Suppose t = -4*t, 2*t = -2*h - 42. What is the second smallest value in 0.1, h, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-7)*79\/711\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51468, 51475, 51482?\n\"Answer: 7*a + 51461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1183865*s**2 - 4. Let d(q) = -2*q. Determine d(u(i)).\nAnswer: 2367730*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-31))**4\/(((u*u**(-23))\/u)\/u**29) assuming u is positive.\nAnswer: u**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 8548143031.\nAnswer: 8548143029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30213942 to the power of 1\/2, to the nearest integer?\nAnswer: 5497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = 71*l - 8487. Calculate the lowest common multiple of 108 and l.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677992850.\nAnswer: 2, 5, 23, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*r - 14 = 2*t, -4*t - 4*r + 24 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Suppose 2*n - 8 = 4*l, -n + i*l = n - 16. Let r = n - 9. Solve 0 = j + k - 5, 2*k - r = j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b - 3. Let a be d(-5). Suppose -a - 38 = -8*n. Suppose -5*z = -u - 16, -4*z + 29 = 2*u + 5. Is u greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-197)\/2758*(-84)\/(-44)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1113 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**5\/30 - 5*m**4\/24 - m**3\/3 + 121. Factor c(l).\nAnswer: -l**2*(l + 2)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1457 - 4*r**3 + 3*r**3 + 1460 + r**4 - 3*r**2 in the form c + d*r**3 + m*r + h*r**2 + p*r**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:19 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 7}. What is prob of sequence hs?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -25*x**2 - 35*x. Let l = -60 + 25. Let m(t) = -2*t**2 - 3*t. Determine l*m(a) + 3*n(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11104 is divided by 1996?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 8. Let k be j(-18). What is the greatest common factor of 80 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {b: 1, v: 6, h: 3, d: 1, r: 3, z: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42100 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 2872566*z**3 - 687748306311*z**2 + 53631261085428*z - 1045724399234892.\nAnswer: -3*(z - 478722)**2*(z - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.06794484 to three decimal places.\nAnswer: 45.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34366 - 34366 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*j + 3*x = 0, 3*j - 2*x = -17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*s**3 + 76*s**2 - 4438*s**3 - 76*s**2.\nAnswer: -3386*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -244, -540?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*q + q. Is q not equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.096106867 to 4 dps.\nAnswer: 2.0961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 o when four letters picked without replacement from oppopppppppppppppp.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.69 or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 + 301. Let f = 26 - y. Let k(r) = -6*r - 8. Determine k(f).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12 + 8 - 236*x - 92 + 13. What is the hundreds digit of b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.3992 greater than or equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q + 7. Is q\/21 - (-5260)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27507064\/3213 + -59928\/7. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 3*l - 2. Let z be (104\/(-182))\/(0 - (-2)\/(-14)). Calculate c(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y - 2 + 2 + 55*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-5) - 4\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, g: 9, a: 1, v: 2}. Give prob of sequence ga.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/56*60\/(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59.7289 - -59.6. What is q rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/71188 and 11\/6845.\nAnswer: 355940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.8. Let p = 46 + -28. Let m be 6\/(-20)*15\/p. What is the closest to 1 in m, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2. Let l = 12 + -6. What is the remainder when a(15) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010283537 to 7 decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.7 (c) -18 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixc when four letters picked without replacement from icixhc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 83681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = 4*y, -4*y = -y + 4*c - 8. Suppose y = 3*a - 4*v - 17, 3*a - 14 = a + 4*v. Find the second derivative of 2*o**3 + o - a*o - 2*o wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/13, -9, 0.7, -0.4 in ascending order.\nAnswer: -9, -3, -0.4, -1\/13, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*m = 3*p - 636, -p - 2*m = -171. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {n: 10, y: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/7 > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 307 - 147)*(87 - 87 + 4*t**5).\nAnswer: -1576*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(60)\/sqrt(2))\/sqrt(6)) + -6*(sqrt(5) + 2) + -1)**2.\nAnswer: 156*sqrt(5) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g - 4. Let a be f(3). Let c(o) = -456*o - 95. Let r(i) = 19*i + 4. Let k(x) = a*c(x) - 95*r(x). Let v(z) = z. What is k(v(t))?\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/120 and -1\/744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3083332478 rounded to five decimal places?\nAnswer: -0.30833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/98 and 37\/42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1391971, 1391971, 1391961, 1391935, 1391887, 1391811, 1391701, 1391551?\n\"Answer: -d**3 + d**2 + 4*d + 1391967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2368, 2526, 2672, 2806, 2928?\n\"Answer: -6*d**2 + 176*d + 2198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from lieeqizr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1\/2, -4\/3 in ascending order.\nAnswer: -3, -4\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10467453.\nAnswer: 3, 251, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.58 + 106.58. What is the second smallest value in d, -104, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.031 - -3.531. Let h = m + -3.8. What is the second biggest value in -1\/16, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15438.61, 2\/2149, 2 in descending order.\nAnswer: 2, 2\/2149, -15438.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v + 81. Let k be d(-9). Is k smaller than 17\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*z, 4*r - 8*z - 99 = -9*z. Solve -4*g - 12 = 4*k, -5*g + 0*k = -4*k + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 1146177?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -23333?\nAnswer: -23133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3050480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 + -364. Let t(m) be the first derivative of 0*m**2 - 2\/3*m**3 + c*m + 6. Determine h so that t(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/78 and 35\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -37*h**3 + 5*h**2 - 6*h. Let c(t) be the first derivative of -19*t**4\/2 + 4*t**3\/3 - 5*t**2\/2 + 8891. Give 6*c(i) - 5*q(i).\nAnswer: -43*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -7071017.\nAnswer: -8\/7071017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30348 and -31\/12.\nAnswer: 30348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1077790 and 11\/838.\nAnswer: 451594010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26991545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 50*g + 437. Let i be a(11). Solve i*k - 28 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 114, 134, 156, 180, 206?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l + 0*l)*(-l + l - 3*l**3) + 3*l - 3*l - 2*l**4 + 2508*l**3 + 10*l**4 + 21*l**2 - 2508*l**3 + (2*l**2 - 2*l**2 - l**4)*(0 - 2 + 1).\nAnswer: 6*l**4 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let x(n) = n**2 - 5*n + 5. Let v(s) = 5*a(s) - x(s). Let r(l) = 2612*l - 2. Determine r(v(p)).\nAnswer: -2612*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-44.739.\nAnswer: -178.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 17. Let j be m(-13). Put 5, 1, j in decreasing order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*i - 19, 3*l - 3*i - 90 + 78 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**27\/s*s**9 assuming s is positive.\nAnswer: s**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/39 (b) -335464 (c) 0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528\/80*(-160)\/(-48)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 38*h**2 - 39*h - 190. Calculate j(-37).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 12*b. Suppose 11*f - 31 - 13 = b. Suppose -4 = -4*d + 2*j + j, -f*d = -j + 4. Which is greater: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/80 - g**5\/8 - g**4\/2 - g**3 + 2*g**2 + 14*g. Let j(t) be the first derivative of z(t). What is k in j(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*q - 155*q - 3 = 0. Which is greater: -40 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 - -1013\/3. Which is the closest to -15? (a) f (b) 1 (c) -1\/10 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 629*v**6\/6 + 734*v**3\/3 + 294. What is the third derivative of s(b) wrt b?\nAnswer: 37740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -4, 1, 45, 3654 in increasing order.\nAnswer: -4, 1, 45, 52, 3654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k - 37*k - 2632 = 0. Calculate the greatest common factor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, s: 2, r: 4, h: 1}. Give prob of sequence jrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14923 + -14762. Let m(b) = 2*b**3 - 5*b**2 + 2*b - 1. Let t be m(3). What is the highest common factor of c and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = 25. Put -1, -2, g in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + h**4 + 6*h - 3*h + 0*h**4 + 0*h**4 + 2*h**4 + (4*h - 4*h - h)*(3*h + h**3 - 3*h).\nAnswer: 2*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 1810974.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4 - -3 - 9 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/8*(-2 - -4)*-26 and (4*3\/18)\/(10\/270).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:59 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*w = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 28. Let f be (-69)\/(-7) + ((-14)\/(-49))\/2. Let n be f\/(-15) + x\/6. Solve 6*v - v = -3*p - 35, n*v - 13 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 - 361. Let w(h) be the first derivative of -7\/6*h**3 + 2*h - 7 + 3*h**k. What is n in w(n) = 0?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jdwywdyjdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9 - 1, -2*a + 10 = 2*w. Find the second derivative of 75*z**3 - 38*z - z**2 - 65 - 198*z**a + 25 + 40 wrt z.\nAnswer: -738*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265*d**4*u**2 - 973579*d**3*u - 1629551*d**2*u + 45*u**2 wrt d.\nAnswer: 6360*d*u**2 - 5841474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 + 31*d**2 + 3055*d + 712. Give r(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75275422\/7 + 10546145. Let z = p + 207025. Let o = 461 + z. Find the common denominator of 73\/9 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(21\/3)\/(-7). Calculate the remainder when (-47 - -51)\/(a\/5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8*x + 6 = 0. Let i(h) = -4*h - 3. Let l(g) = -3*g - 4. Let t(j) = -4*i(j) + 3*l(j). Let m(z) = z. Give x*t(k) - 5*m(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809 + 0.081396.\nAnswer: 809.081396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -0.2 (b) 328\/3 (c) 1\/2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -35. Suppose 2*l - 6 = 2*a, l - 5*a = 1 - 6. Suppose -3*b + 41 = -l*s + z*s, 5*b = -15. Calculate the highest common divisor of 130 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -528 + -3?\nAnswer: -52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -2736 (c) -5 (d) 425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/395 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 times -20\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 35. Let n be o(9). Suppose -p - 3*u + 10 = -7*u, 3*p + 4*u = -50. Let y = p + 12. Solve n = m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*w + 814*w + 180*w - 2 + 2 - 2*w + (3 - 1 + 0)*(-3*w + 3*w + 2*w) + 2*w + 0*w + 0*w - w + 0*w + 0*w.\nAnswer: 864*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*x**4 - 3*x**2 - 167 wrt x?\nAnswer: -112*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3605439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (3 + 13\/(-9)). Put -1, x, -4 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let i(x) = 20090*x. What is p(i(v))?\nAnswer: -20090*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 g when four letters picked without replacement from {j: 2, g: 7, h: 9}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2426 + 16946. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 145*s**2 + 3*s - 1. Let u be f(1). Let l be u\/28 + (-2)\/8. Suppose 4*a = -a + l. Solve -3 = j - a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-195)\/1560)\/(2\/(-8)). Factor 1\/2*s**2 - 1\/2*s**3 - y + 1\/2*s.\nAnswer: -(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -25. Suppose -3*i + 117 - 123 = 0. Sort i, 3, w, -1 in ascending order.\nAnswer: i, -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 90*t - 250. Give b(42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*a - 106*a = 113*a - 62. Let -w - 3\/5 + 2\/5*w**a = 0. Calculate w.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791098531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1877.1 - 1877. Let x be (3\/6)\/(15\/6). Which is the biggest value? (a) -5 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14640.8 to the nearest 100.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23343134 to the nearest integer?\nAnswer: 4831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 4) in base 16?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92302 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {m: 18, o: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/4 + 180*v**3 - 5822*v + 4653. What is the first derivative of c(d) wrt d?\nAnswer: -3*d**2 + 1080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-86)\/(-18))\/(6\/(54 + 0))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + l + 4 + 3*l**2 - 2*l**2 - 2*l to v + y*l + n*l**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 19777 = 20030 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88070*k + 0*k**4 - 88070*k + 386 + 4*k**4 - 26*k**2 wrt k?\nAnswer: 16*k**3 - 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 13. Let h(g) = 2*g**3 - 2*g**2 - g - 1. Let d be h(3). Suppose t + t - d = 0. What is the remainder when t is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -594, -577, -534, -453, -322, -129, 138, 491?\n\"Answer: 2*y**3 + y**2 - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*((-3 - 1 + 3)*(-2*p + 0*p + p) + (-2*p + 2 - 2)*(1 + 1 - 1) - 46*p - 62*p + 72*p).\nAnswer: 111*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 270*t + 33. Let d(f) = 133*f + 17. Let u(p) = 11*d(p) - 6*r(p). Let o be u(-26). Which is smaller: o or 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -235\/4. Let d(k) be the second derivative of -k**2 + 0*k**3 - a*k**4 - k + 0. Find the first derivative of d(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1.5, 3, 38?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 - 18655*l**3 + 17297395*l**2 + 192535255*l = 0. Calculate l.\nAnswer: -11, 0, 1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131794 is divided by 8691.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -842*n**2 - 379*n**3 + 91*n**3 + 840*n**2 as a*n + p + x*n**2 + o*n**3 and give o.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -55*(12\/5 - 3). Let y = 31 + p. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/15*(-3 + -2). Suppose 0*d + g*d - 5*k - 29 = 0, 0 = 2*d - 4*k - 22. Suppose 2*m - 6*m = -2*i + 30, -12 = -d*m. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**5 + 27*b**4 - 15*b**3 - 9*b**2 + 9. Let l(u) = -3*u**5 - 14*u**4 + 8*u**3 + 4*u**2 - 5. Let k(d) = 5*f(d) + 9*l(d). Factor k(g).\nAnswer: 3*g**2*(g - 1)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 y, and 1 f when four letters picked without replacement from {f: 5, d: 2, k: 11, y: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 645541 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) 4\/9 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.24 - -0.24. Let m = -435.8 - -418. Let g = m - p. What is the nearest to 0 in -1, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.021 (b) 2 (c) 1\/2 (d) 1\/7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/99 and -149\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 1955 = -2031 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m + 5 = 37*j - 44*j, -1 = -j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 + 162*x**3 + 1670 - 56*x**3 - 56*x**3 - 48*x**3 in the form u*x**2 + h + d*x**3 + k*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1635 - 1636. Which is the second biggest value? (a) 29 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:16 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8462936?\nAnswer: 2, 37, 28591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586226 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: Does 11 divide 6165789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/2 + 19*6\/24)*196 is divided by 164?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 106. Let b = -28 - v. Calculate the highest common factor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 5*d + 6. Suppose 6*q - 45 = q. Let o = -15 + q. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22111021 + -2?\nAnswer: -22111023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6542374 and 2676?\nAnswer: 39254244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 94. Is n(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 5, 21.2, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 - 5. Let a(t) = 3*t**2 - 2. Let g(o) = -5*a(o) + 2*r(o). Let n(y) = 5*y - 2. Let w(x) = -x + 1. Let j(v) = n(v) + 2*w(v). Determine g(j(p)).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 6*m - 14. Is 9 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 10, 329 in increasing order.\nAnswer: -37, 10, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 29, 0, -4, 4 in descending order.\nAnswer: 29, 15, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -13*m + 112. What is the remainder when 56 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 5*o**2\/2 + 84*o - 39. Calculate the remainder when 15 is divided by v(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(252))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -552, -1103, -1654, -2205, -2756?\nAnswer: -3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 118 (b) 3\/2 (c) -17732 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 45*i = 8. Sort 4, -3, i in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.01, -0.09, -38, 9\/5 in decreasing order.\nAnswer: 9\/5, 1, -0.01, -0.09, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 35 + 49 + 116 + 3 - 3 - 1 + (-5 + 4 - 2)*(-1 + 0 + 0) - 4 - 1 + 1)*(l**3 - l**2 + l**2).\nAnswer: 189*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135.6 - 135.59995422. What is p rounded to 6 dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 = -14. Suppose -w + 37 = 5*i + 13, -3*i + 2*w + 4 = 0. Suppose -1 = q - i. Calculate the greatest common divisor of t and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 70 - 22. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2635, -4707, -6779, -8851?\nAnswer: -10923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-390)\/(-9425)*-29)\/(1 + 8\/(-5)). Let r(s) = 13*s - 3. Let o(n) = -n + 1. Let b(f) = -2*f + 1. Let y(u) = -5*b(u) + 4*o(u). Determine z*r(k) - 5*y(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 - 30362*x - 121551. Give a(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbwlwbbbbycbbl. What is prob of picking 1 l, 1 y, and 1 w?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 2*i + 21, 0 = -2*z + i + 13. Solve 0 = d - z, -4*d + 15 = o - 2*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 - 4*t - 7. Let n be s(6). What is the units digit of 15\/(-2)*(-4)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7098687 - 2*v**3 - 7098687.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -848445, -1696694, -2544943?\n\"Answer: -848249*j - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 3*k - 2*k**2 + 2 - 3*k - 2*k**3 to the form p + x*k + f*k**2 + z*k**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -174133.346 and 7.\nAnswer: -174126.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23988*t**2 - 392 + 2*t**3 - 393 + 785 + 23988*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-428 - 97*k + 428)*(k - 11 + 17 + 9) to c + n*k**2 + u*k and give u.\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2016 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = 29*f - 3*h + 48, f - 36 = -5*h for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/9 - 1) + 3. Let t = l + -49\/18. Which is the third biggest value? (a) -0.2 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -1, -3\/10, -1\/248 in decreasing order.\nAnswer: -1\/248, -3\/10, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1367\/15 + 91. Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8759, 18199, 27639, 37079?\nAnswer: 46519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6144 - -6139. What is the second smallest value in 3, q, 5, -40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 12. Give v(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.47415ml in litres?\nAnswer: 0.05947415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 1. Let a(q) = -18*q**2 - 15*q + 15. Let t(k) = 3*a(k) + 45*g(k). Let n(r) be the second derivative of -r**3\/2 + 683*r. What is n(t(p))?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(0*k**3 - 2*k**3 + k**3) + k**3 - 6*k**2 + 6*k**2 + (1672 + 87*k**2 - 1672)*(0*k - k + 3*k).\nAnswer: 172*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 10*t)*(281*t**2 + 20857*t - 20862*t - 59*t**2).\nAnswer: 1998*t**3 - 45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.318 - 0.818. Put -34, 0.2, g in descending order.\nAnswer: 0.2, g, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658272 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*m = -1, -74*s = -85*s - 4*m - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 3*t + 10.\nAnswer: -(t - 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/28)\/(13\/(1001\/165)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11. Suppose -2*y + b*y + 4000000 = 0. What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1720699190 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u - 2*u - u)*(-3*u - u - u) - 2*u - 2*u**2 + 2*u)*(2*u - 2*u**3 - 2*u) + (2 - 3 - 2)*(-2*u**2 + 2*u**2 - 3*u**5) - 6*u**5 + 11*u**5 + 6*u**5.\nAnswer: 34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 248, 91, 2 in increasing order.\nAnswer: -11, -2, 2, 91, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3875 * -0.07.\nAnswer: -271.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**3 - 7874*i**2 + 6745*i - 1124. Determine m(1124).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(8\/13)*o*o*o**(-3\/11)*(o**(-7))**(-8\/3) assuming o is positive.\nAnswer: o**(8914\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31467202?\nAnswer: 2, 13, 107, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + n + 52, u - 176 = -2*u - n. Suppose 0*b = b - 20. Calculate the remainder when u is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 0.1, -0.1 in descending order.\nAnswer: 128, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285096 and 285096?\nAnswer: 285096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -5, 11 in descending order.\nAnswer: 11, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -129*r - 469. What are the prime factors of u(-47)?\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(12\/3)\/28. Sort 1, 0.5, p in ascending order.\nAnswer: p, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 119.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:54 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -165681*g - 35920. Let o(q) = 443*q + 96. Determine 2245*o(c) + 6*p(c).\nAnswer: 449*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -7\/2 (c) -0.5 (d) 0.5 (e) -18.8 (f) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 4*s. Let p be -369*(10\/6 + s). What is p rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p. Let a(g) be the first derivative of 21*g**2\/2 + 16. Suppose -4*c = -3*b - 15, 0 = -2*b - 2*c - 7 - 17. Give b*d(z) - 2*a(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, g: 1, m: 5, d: 1, h: 5, w: 1}. What is prob of sequence dmhg?\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 30296257*x**2 + 30296257*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 2\/1835, -3\/5 in ascending order.\nAnswer: -4, -3\/5, -0.4, 2\/1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 14*y**2 + 11*y - 60. Let f be a(-15). Let s = -11 + 14. Solve 4*j - r = -s, 3*j = 2*r - f - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 40 - 237 = 0. What are the prime factors of c?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -48*u - 506. What is the remainder when u*(450\/(-20) + 2\/(-4)) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10938 is divided by 4291.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 + -62. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4251 - 4316) + (-2 - -86)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -331*z**3 - 3*z**2 - 8*z + 1. Let t be o(-2). Let y = 4748 - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602221896?\nAnswer: 2, 3, 8364193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 85*n**2 + 970*n + 263. Calculate v(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, -1\/5, 9905?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 950 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2. Let t(j) = 5505979*j**2. Give r(t(o)).\nAnswer: -333473852232851*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*o - 2*o + 67*o + 7*o - 17 as a*o + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/2330 and 53\/10718.\nAnswer: 53590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -236? (a) 3 (b) -0.1 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72254 - 416*k + 72254.\nAnswer: -416*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6733447\/1390983 - -202\/7601. Let c = 29\/610 + p. What is the common denominator of c and (66\/(-4))\/((-20)\/(-12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.04.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 - 93616*t + 468055 = 0.\nAnswer: 5, 93611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37983, 4 in increasing order.\nAnswer: -37983, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6*q - 9 - 9, 4*q = 5*n + 31. Let v = -25.935 + -0.065. Let z = 18 + v. What is the third smallest value in 0.3, z, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 - (-2 + (-335)\/(-28)). Is -10 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 2*m - 4*m = -6, 0 = j*l + m - 9. Suppose 39 = -2*x - 5*p + 170, -l = -p. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14690*i**3 + 16*i**2 - 15257453*i?\nAnswer: 88140*i + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 8788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 7. What is the units digit of (m + 0)*(-3)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 2*t**2 - t**2 + 3*t**2 - 3*t**2 + t**2 + (-4*t**2 - t**2 + 6*t**2)*(-1 + 6 - 3) in the form u + c*t + v*t**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408464?\nAnswer: 2, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/21*(28\/30)\/7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Suppose 3*c = 2*c + 4*y + 30, t*y + 72 = 3*c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*c**2 + c**3 + 2*c + 8*c**2 + 6*c**4 - 5*c**2 as z*c**2 + i*c + w*c**4 + o*c**3 + x and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let n(y) = -y. Let j be n(4). Let a be (-9)\/6 - (-2)\/j. Which is bigger: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = -20. Suppose 5*n + 4*r - 4 = 0, -3*r - 2*r = u. Let g = 0.3 + -1.3. Which is the closest to 0.3? (a) g (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 394\/8 + 0 + 26\/(-104). Which is smaller: j or 626\/13?\nAnswer: 626\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -388*l. Let o(t) = -2*t - 15844. Determine o(q(x)).\nAnswer: 776*x - 15844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -136*i - 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -110540*x + 663279. Give b(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h**2 - 16 + 4 - 17*h**2)*(0 + 0 + h) + (3*h - 3*h - 2*h)*(-65*h**2 - 88*h**2 + 209*h**2).\nAnswer: -111*h**3 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (148\/12 + -13)\/((208\/1131)\/(-16))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 + 181 + 77*d**4 - 96 - 92 wrt d.\nAnswer: 1848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 81. Let h(f) = -2*f + 108. Let c(m) = -3*h(m) - 4*k(m). Let a(x) = -170*x**2. What is a(c(p))?\nAnswer: -6120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**6\/90 + 209*y**3\/3 + 159. Let p(j) be the third derivative of a(j). Factor p(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4685?\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313818237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 21, 24, 21, 12, -3, -24?\n\"Answer: -3*q**2 + 18*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/60 + 5*h**4\/8 - 5*h**3\/2 + 5*h**2. Let y = 63 + -83. Calculate the remainder when s(y) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1266\/(-2))*(-286)\/(-78) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 163*f = 157, -224 + 189 = 5*k - 5*f for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxaaiiaaxaxixaia. What is prob of picking 3 a and 1 i?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 12\/5*o**3 - 12\/5*o - 2\/5*o**4 - 22\/5*o**2 = 0. Calculate o.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75053 and 109843477.\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -9*f**2 - 2\/15*f**5 + 1\/10*f**6 + 0*f**3 - 2\/105*f**7 + 0 + 0*f + 0*f**4. Factor t(j).\nAnswer: -4*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i**2 + 8 + 29*i**2 + 10*i**3 - 17*i - 9*i**3. List the prime factors of q(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*x - 62655*x**2 + 62676*x**2 + 16 - 4.\nAnswer: 21*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -210210201?\nAnswer: 210202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -83*r - 6353. Let m be q(-73). Sort m, -4, 3, 5, 2.\nAnswer: m, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 12*m + 3. Suppose -x = -5*x - 5*w - 43, x - w + 13 = 0. What is o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79166 and 91034.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d*j**3 + 10*d*j**2 - d*j + 324943*d + 31*j**3 + 95*j**2 - 40*j wrt d?\nAnswer: 5*j**3 + 10*j**2 - j + 324943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 7. Let n be j(6). Calculate the common denominator of (24\/(-77))\/((-3)\/(-42)) and ((-24)\/(-14))\/(n\/28).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*w + 4 + 1, -4*w - q = -17. Suppose 2*b + 2*y = -3*y - 10, w*b + y = -2. Suppose b = 5*x - 38 + 8. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 2707537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -43.\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-66312)\/(-40))\/((-4)\/(-5)). Let x = 2059 - w. Which is bigger: -12 or x?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63426 and 1642.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnjnnjnnnnnnnjnnnnn.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/11 - 14*f**2\/11 + 448*f - 57304\/11 = 0.\nAnswer: -58, 13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/86762 and -119\/8028?\nAnswer: 348262668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9732 and -25\/6?\nAnswer: 9732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2. Let f(g) = 2*g + 31. Give f(k(o)).\nAnswer: 8*o**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g)**(-47)*g**(-1\/2)*g*(g\/(g\/g**5))\/g*(g**(-12)\/g*g**(-1\/5))**(-32\/7) assuming g is positive.\nAnswer: g**(77041\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000823051 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, s: 5}. Give prob of sequence cs.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -52. Suppose -2*y - 331 = -5*w, 0 = -w + 4*y + 10 + 67. What is the remainder when w is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80465 is divided by 712.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a meter in millimeters?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 11*j**2 - 26*j + 3. Let y be u(13). Suppose -3*n + 5 = y*s - n, 0 = s - n. Solve -2*l + 3 + s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 3, -2, 245.\nAnswer: -5, -2, -1, 1, 3, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 0.8 in descending order.\nAnswer: 9, 3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = l. Let o(f) = 6*f**2 - 7*f - 8 - 16*f**l + 1. Let g(a) = 35*a - 10*a**2 - 40*a + 3*a**2 - 5. Calculate -7*g(w) + 5*o(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5081*l**4 - 4673*l**2 + 12*l. Let x(w) = -10161*w**4 - 9347*w**2 + 22*w. Let b(i) = 11*n(i) - 6*x(i). What is the third derivative of b(r) wrt r?\nAnswer: 121800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108941 is divided by 54463?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y*y)**(14\/13)*y\/(y**(1\/6)\/y)*y**(-14) assuming y is positive.\nAnswer: y**(-1033\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7677103 to two decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 472*c - 442*c + 420 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*i - 119*h**2 - 431*h*i + 5*h - 42*i + 3 wrt i?\nAnswer: -2*h**2 - 431*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 6:04 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5 + 5*q**4 + 5*q**3 - 25*q**2 - 40*q - 16 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104068121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:26 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, r: 9}. Give prob of sequence jr.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:55 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**2 + 7*n + 1. Let o(s) = 5*s**2 + 2*s. What is -7*o(l) + 2*w(l)?\nAnswer: -3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 + 5*p + 6. Let k(j) = -5*j**2 + 4*j + 5. Let f(l) = -5*k(l) + 4*t(l). Let h(r) = r**3 + 4*r**2 - 4. Determine -4*f(d) + h(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29933473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2373372 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 238?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = -5*q - 6, q = -3. Suppose -r - k*z = -4*z, 0 = -3*r + 3*z + 6. Suppose 5*p + 359 = 6*s - 3*s, 240 = 2*s - r*p. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(162) + sqrt(162) + -1 + sqrt(162) - (-1 + sqrt(162))**2*-3.\nAnswer: -27*sqrt(2) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 not equal to -4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599949 is divided by 1500.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s**4 - 2*s**2 + 0*s**2 + 29*s**4)*(3 - 3 + 14).\nAnswer: 28*s**4 - 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (4 - 13) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*s - 64*s + 4*n - 14 = 79*s, 0 = -5*s + 11*n - 76 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 9*w - 4*w. Solve 4*b - l = -20, -2*b + 3*l + l - 10 = w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 - 129. Let y(l) = 2*l + 31. Let d be y(w). Let n(f) = f**2 + 2*f - 6. Let c be n(-5). What is the highest common factor of d and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12180\/19, 11\/105, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.049056 (c) -2\/7 (d) -1\/4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 480794 = -3*q, 0 = w + 52*q - 55*q - 240394. What is w rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 2. Let w(a) = 2*a**2 + 3*a + 3. Let l be w(-2). Let v be k(l). Solve v*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3493*-0.5.\nAnswer: 1746.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 10*j + 29. Let l be m(9). Let n be (238\/7 + 3)\/1. Let o = l + n. Let h(w) = w**2 + 5*w - 1. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**3 - 8*o**3 - 17*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (29 + (22 + -19 - 18))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 + -13)*-2 + 257*(-1)\/(-6). Which is the second biggest value? (a) -3 (b) 2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 0 - (-1 - -5) - (-7 + 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 24. What is the smallest common multiple of x and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.966 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2254\/1252861 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, v: 2}. What is prob of picking 3 w?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-8)\/(-10))*11\/(-11). Put p, -3\/2, -1, 0.8 in increasing order.\nAnswer: p, -3\/2, -1, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37554689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2 - 8 + 30*o - 7*o - 22. What are the prime factors of k(6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -18 + 1 + 2 + -7)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*s - 32, 5*s + 2*j - 10 - 2 = 0. Suppose -2*h + 4*c + 1338 = 0, 0 = s*h + 3*c - c - 2726. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -3. Let l be (-4)\/(-6)*9\/(-21). Let f = 55\/12 - 21\/4. Which is the second biggest value? (a) f (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276403919 a multiple of 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1037\/15 - -69. Suppose 0 = 358*t + 478 + 238. Sort -5, 1, t, i in increasing order.\nAnswer: -5, t, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 44*q + 5. Determine g(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 2. Let r(p) = -p + 1. Let j(d) = 4*a(d) + 8*r(d). Let g(k) = k**2. What is j(g(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130*((-520)\/(-100))\/(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*z - 63*z**3 + 468*z - 2.\nAnswer: -63*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.25611 micrograms to grams.\nAnswer: 0.00001625611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + r - 1. Let a be d(-2). Suppose 32 = -a*c - 3*v, -3*c = -0*v - 4*v - 4. Let s be 38\/14 + (-2)\/(-7). Sort -5, c, s in descending order.\nAnswer: s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4842919187 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 0*r**2)*(1 + 0 + 0 + (-1 + 2 - 3)*(41 - 65 - 141))*(3 - 3*r - 3)*(0 + 3 - 1).\nAnswer: 3972*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -32, -119, -252?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.9448?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/15)\/(27\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 14061?\nAnswer: 14061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.3 (c) 13 (d) 2279\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539599366 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(2*t - 2*t + 5*t)*(9 + 14 + 9) - t + 0*t + 3*t.\nAnswer: -478*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/l**(-13))**(-26) assuming l is positive.\nAnswer: l**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12101123 (base 4) to base 11\nAnswer: -18336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:36 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -640*m + 636*m + 5*z, -4*z = 2*m - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183, -180, -177?\n\"Answer: 3*r - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 65 + 78. Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 - 20*x**3 + 1085*x**2 wrt x?\nAnswer: -48*x - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 605885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/144 and 77\/3342.\nAnswer: 80208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3531220 (base 9) in base 15?\nAnswer: -27ae90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*y + 167*y**2 - 17 + 36 - 18 - 45*y wrt y?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, c: 2, g: 5, n: 2, t: 2}. What is prob of picking 2 t, 1 a, and 1 c?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 12 = 0. Let i be 1 - -1 - (-12 + d). Suppose 2*r - 180 = -3*r. What is the highest common factor of i and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 + 36*l + 3. Let o be g(-6). Solve 4*q = 2*n, -o + 14 = -5*n - q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {w: 3, k: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let n(l) = 1. Let s(b) = d(b) - 2*n(b). Let h(o) = -2*o**2 + 2*o + 6. Let f(y) = -h(y) - 6*s(y). Factor f(u).\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 35. Let s(a) = 23*a - 25*a + w + 0. Let b(i) = -2*i**2 + 1. Let l(p) = 11*p**2 - 2. Let q(k) = -6*b(k) - 3*l(k). Calculate s(q(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9988053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9454 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/6*2*1*-6. Let f = -20 - c. Solve 3*g - 3*a = 27, 0*g = f*g + 3*a + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*d - 555, -3*c - 555 = -5*d + 2*c. What is the second derivative of 4 + 9 + 17*j**4 - 14 - 45*j - d*j**4 wrt j?\nAnswer: -1128*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110047207*q**2 + 34100408*q?\nAnswer: -220094414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((-56)\/12)\/7)*(-234)\/62322*17\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 107562*i + 964131987.\nAnswer: 3*(i + 17927)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/376*-2*15\/(-390)*13.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -677b + -28e2?\nAnswer: -905d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 4 + 4 - i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55512828 and 4257.\nAnswer: 610641108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:51 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. What is the remainder when 4\/6 - c\/3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -747\/7 - -107. Let b be 6\/70 - (-2)\/10. Let b*m**3 + 0 - x*m**4 + 2\/7*m**2 - 2\/7*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, n: 10}. What is prob of sequence nee?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(25\/35 + 1020\/(-595)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12450453 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46842022 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010 (base 2) in base 10?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 157*z**2 - 21 - 47 - 142*z**2 - z to the form x*z + q*z**2 + f and give f.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6560, -6569, -6574, -6575, -6572?\n\"Answer: 2*a**2 - 15*a - 6547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2 and -2\/449?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 6:32 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26173 + -26173.1. Put 0.8, m, -5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, m, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 79. Let s be 3\/3 - 3*4\/m. Let j(u) be the third derivative of -13*u**4\/24 - 15*u**2. Let p(l) = -6*l. Calculate s*j(q) - 5*p(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o + 79*o = 3*g, 2*o = -g - 2. Which is the nearest to -0.1? (a) -0.01 (b) o (c) -0.4 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7027*y**5 + 131*y - 8 wrt y?\nAnswer: 140540*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + 311131003?\nAnswer: 311131233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (240\/36 - 8)*(-3)\/(-2). Let d(y) = 9*y**2 + 1. Calculate d(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = x - 71. Suppose x*m = 16*m - 658. Let h = -6 + m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -186, -182?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.84 - -1.2. Let m = v + 1.64. Let p = -0.01 + -0.29. What is the closest to -15 in m, 1\/7, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 11697*u**3 - 10642*u**3.\nAnswer: 1055*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 5) to base 2\nAnswer: 10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 52. Let b(z) = -z**2 + 1. Let a(p) = -p**3 + p**2 + 8. Let u(k) = a(k) - 4*b(k). Give u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and 0.13?\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (27 - 7) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 3. Let h be -31 - (18\/(-3))\/3. Let c = h - -27. What is the smallest common multiple of n(c) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149446948.\nAnswer: 2, 13, 22104749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 109*c + 802. Let x be b(-5). Let n(w) = -w - 1. Let m be n(-5). Solve -9*h - m*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101110100 - -100110?\nAnswer: -1101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t - t)*(1 - 1 + 2*t**4) + 0*t**5 - 3*t**5 + 0*t**5 + (6*t**3 - 3*t**3 - t**3)*(0*t**2 + 4*t**2 - 3*t**2).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11095791 divided by 3698597.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26935680 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 1354837.25?\nAnswer: 1354838.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002126047321 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-458*f**4 - 371*f**4 + 669*f**4)*(0 - 3 + 1)*(-96 + 96 + 8*f).\nAnswer: 2560*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -85. Let s(i) = i**3 - 39*i**2 - i - 2*i**3 - 4 + m*i**2. Let c(z) = -z**2 - 39*z + 322. Let u be c(-46). Give s(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.149, 0.3.\nAnswer: -2, -0.149, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1186 and -35\/9.\nAnswer: 10674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.3, -1\/8, -11\/64, -1 in increasing order.\nAnswer: -1, -0.5, -0.3, -11\/64, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.33013 * -0.4\nAnswer: 1.332052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 2*h + 660. Let a = 134 + h. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -22*d + 11. Let s(u) = -11*u + 5. Let y(g) = -3*f(g) + 5*s(g). Differentiate y(b) with respect to b.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108296190 to the nearest integer?\nAnswer: 10407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -502\/179?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((234\/60)\/(-13))\/((-6)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -20. Solve l = -2*o + c*o - 2, 3*l = 3*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l - 4. Let a be -1 + -3 + 2*-1. Let k be y(a). Suppose -k = h - 2*x, x = -2*x + 15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.15. Let w = 3.04948 + -0.04948. Which is the second biggest value? (a) n (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 36) + 11 + -11 + 15 + 28\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:54 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 127050 = t + 4619, 4*t = -8. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Is (v\/(15\/(-2)))\/(17\/(-24837)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/465 + 149\/1395. Solve 2\/9*h**3 - 1\/3*h**2 + o*h + 0 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 68. Suppose -2*i = i - b. What is the highest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -234, -145, -66, 3, 62, 111?\n\"Answer: -5*f**2 + 104*f - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49 - 50 + 0*f + 6*f - 3691*f**6 + 3*f**2 - 2*f - 4*f**2 wrt f?\nAnswer: -442920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 11*s**2 - 3*s**2 to the form r*s + n + y*s**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24003507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(21\/2408)*(160\/(-200))\/((-64)\/60)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n + 3*n + 7*n + 11*n - 20*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2\/3*d**3 - d - 1\/2*d**2 - 1\/12*d**4 + 94. What is y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-50)*(-5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053580847 to 3 decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -17, -11, -3, 7?\n\"Answer: q**2 + q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 3. Let k(s) = 40*s + 120. Let c(l) = 40*i(l) + k(l). Let t(h) = -10*h. Give t(c(m)).\nAnswer: -800*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 - 3*t**2 - 73*t**4)*(3 - 1 - 5)*(4 - 2 + 0) as y*t**2 + m + n*t**4 + s*t**3 + g*t and give n.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 4. Let q be w(16). Let x be (51045\/q)\/5 - 3\/(-12). Suppose -6*f = -5*f - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -464*q - 2*q**2 + 46 + 464*q + (1 - 1 - 1)*(3*q**2 + q**2 - 5*q**2) - 66*q**2 - 323*q**2 + 17*q**2 in the form z*q**2 + d*q + w and give z.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1041 + -0.0041. Let w = 8 + -6. Which is the closest to w? (a) m (b) 0.4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0 - 40*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7033068 - 374501 = -37*i + 2647292. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 21. Let u be o(-4). Let a(q) = -7*q**3 - 3*q. Let l(h) = 11*h**3 + 5*h. What is u*l(d) - 8*a(d)?\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/5852 and 37\/668192?\nAnswer: 7350112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*l - 1074 + 372 = -221*l. Solve -56*p = -62*p - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/34 + 5014\/2346*(-45)\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3.74, 2\/11, 0.2?\nAnswer: 3.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1398 and 115\/36.\nAnswer: 8388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -23, -64, -131, -230, -367, -548?\n\"Answer: -b**3 - 4*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7389, 2487, -2415?\nAnswer: -7317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 33 = 0, -2*g + 4 = 3*k + 8 + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.3 (b) -140 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2061*s + 61307 = -14950 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5 = -5*y - u, u = 1. Suppose y*d - d = -4. Let p(m) = -2*m**2 + 3*m**2 + d + 5*m - 5 + 0*m**2. Calculate p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294613*d**2*h**2 - 7*d**2*h + 2*d*h - 2248 wrt h?\nAnswer: 589226*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x + 5*s - 45 = -62*x, -4*x + 3*s = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 + 2*n + 7*n**2 - 2*n - 76*n**3.\nAnswer: -47*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 118286 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1678, -3, 1 in descending order.\nAnswer: 1678, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2\/9, -27, -0.046, 0.08 in ascending order.\nAnswer: -27, -5, -2, -0.046, 0.08, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8955286 - 0.17?\nAnswer: -2.0655286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 20. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 724*r**2. Let d(q) = 8*q**2. Give h(d(v)).\nAnswer: 46336*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/19 - -56\/171. Let p = -0.1 - -0.3. What is the third smallest value in 2, l, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(220)\/(sqrt(10)\/sqrt(2)) - (sqrt(704) + sqrt(704)*1 - sqrt(704) - sqrt(704)))\/(sqrt(36)*2 + sqrt(64) + (sqrt(64) - sqrt(64)*-2) + sqrt(64)).\nAnswer: -3*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:13 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*k + 3*s, -3*k + 4*s + 24 = -2*k. Suppose -b + 65 = k*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(-1) - (-8)\/10. Find the third derivative of -396*c**2 - 4*c + 243*c**5 + 142*c**f + 4*c wrt c.\nAnswer: 14580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**1*c))**24*(c\/(c**(-2\/5)\/c))\/((c**2*c)\/c)*(c**(-4)*c**(-3))\/(c**1)**(3\/13) assuming c is positive.\nAnswer: c**(-3564\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79793.1639599 from 5.\nAnswer: -79788.1639599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/5 - 5198412*s\/5 - 3377935915218\/5 = 0. What is s?\nAnswer: -1299603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in -0.2942, -8, 5, 1, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 14*p + 2. Suppose -10*b = 12*b + 22. Let d(y) = y**3 + y - 1. Calculate b*u(g) - 3*d(g).\nAnswer: -g**3 + 11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 200001?\nAnswer: -200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.07, 3366, -2, 6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 0*n**2 + 0*n**2 - 2*n + 5*n**3 + 2*n + 5*n**3 + 5*n**3 - 12*n**3 + (4*n - 4*n - 3*n)*(2*n**2 + 1 - 1).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2440, 2049, 1658, 1267, 876?\n\"Answer: -391*d + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 + 11*g**3\/3 + 3*g**2\/2 + 6*g + 14. Does 10 divide t(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97140 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 114*l**2 + 0*l + 0*l**4 - 222\/5*l**5 + 0*l**3 + 19. Find the second derivative of r(p) wrt p.\nAnswer: -2664*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/420 + x**5\/42 + x**4\/12 + x**3\/7 - 17*x**2. Determine s so that q(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 78*m**2 + 9*m - 297*m**2 - 295*m**2 - 47*m**2 + 11 + 94*m**2. Let v be c(-1). What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, 16, 1\/14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 <= 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 8 + -9 + 9*188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322606991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 67\/4 of a microgram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - 5)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*g*s**3 + 2*b*g*s**2 - 32*b*g*s - 50*b*s**3 - b*s**2 + 2 wrt s?\nAnswer: -36*b*g - 300*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 5, n: 5, u: 2, i: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(0 + ((sqrt(2) - (-2 + sqrt(2))) + -4)*6).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h*h\/(h\/(h\/h**(-2\/3)))*h))**38*((h**(-5)*h)\/h**(-1\/10))\/h**(-50) assuming h is positive.\nAnswer: h**(-517\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63972*b**2 - 28*b + 2271?\nAnswer: 127944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 60, 87, 114, 141, 168?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c09c - 2?\nAnswer: -4c09e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i**(3\/7))**(-4\/11)\/(i\/i**(1\/6)*i**6*(i**(-1))**(6\/19)) assuming i is positive.\nAnswer: i**(-59035\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2141*f**2 - 2143*f**2 - 3742*f**2 - 3728*f**2.\nAnswer: -7472*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100100110110011000 (base 2) to base 9\nAnswer: -250036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**2 + 45*x + 690. What is p(-9)?\nAnswer: 1419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Let n(v) = v + 3. Let r(m) = 6*d(m) + 2*n(m). Let t(a) = -2*a**2 - 110*a + 110*a. Give r(t(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 3*a + 32 = 0. Which is smaller: a or -5\/147?\nAnswer: -5\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r)*(14 - 14 - 73*r**2).\nAnswer: -73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -15*x**4\/8 + 5*x**3\/6 + x**2 - x. Does 17 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16459 is divided by 4111.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14902 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*j + 4, 4*j + 446 = 430 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1333 - 1333 - 53*i)*(8 - 8 + 126*i)*(2*i - i - 3*i) as x*i**2 + q + k*i + u*i**3 and give u.\nAnswer: 13356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i. Let u(x) = -10*x - 11. Determine u(p(m)).\nAnswer: -30*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(((-5)\/10)\/(1\/2)). Let l = 0.10128 - 0.00128. What is the third smallest value in -2\/9, z, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847 divided by -3?\nAnswer: -3847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97440 and 812?\nAnswer: 97440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 696 or 612?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 342\/81 + (-4)\/18. Suppose -q*o = -114 + 94. Solve -12*u**3 + 8*u + 25*u**2 - 3*u**3 + 17*u - 20 - o*u = 0 for u.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 14\/43, 1, 0 in descending order.\nAnswer: 1, 14\/43, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 9*a**2 - 11*a + 15. Let z be ((-7)\/14)\/(1\/(-20)). Let g be o(z). Solve 3*j = 2*j + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1*2)\/sqrt(9))\/((sqrt(486) + sqrt(486) + sqrt(486)*-1 + sqrt(486))*-1).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, 4, 83655, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/57 and 28\/239475?\nAnswer: 4550025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t**3 - t**2 - 2*t + 2. Let q be n(1). What are the prime factors of (q\/(-9))\/(1\/33)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**2 + 52*x**2 - 35*x**2.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 6*c**2 + 7*c + 4. Let a be w(7). Suppose -a*y + y = -3*n - 96, 3*y - 15 = 0. What is the units digit of 9\/12 + n\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 1102*b + b**2 + 18 - 1102*b. Let j(k) = -22*k**2 + 2*k. Determine j(v(c)).\nAnswer: -88*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 7, 0, -4 in descending order.\nAnswer: 7, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875806?\nAnswer: 2, 17, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 19*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 3*u + 24 = -3*g, 5*g - 3*u - 6 = 0. What is the second derivative of -6*p**3 - 2*p**3 + 255*p + 4*p**g + 3*p**2 wrt p?\nAnswer: -24*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p - 17. Let k(z) = -10*z - 3 + 6*z + 2*z. Let h(t) = 2*t**3 - 6 - t**3 - 5*t**2 - 9*t + 5. Let f be h(7). Calculate f*k(c) - 6*r(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5656, 11230, 16804?\nAnswer: 22378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 6892*y**2 - 2965280*y + 2972176.\nAnswer: -4*(y - 1)*(y + 862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 6\/5*f - 2*f**2 + 2\/5*f**4 + 2\/5*f**3 = 0. Calculate f.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Which is the fourth biggest value? (a) z (b) -0.5 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 52 = 12*d. What is the least common multiple of d and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1937363+129827\nAnswer: -1807536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in 5, -1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-21)\/9 - 2\/(-6)). Let n be ((-27)\/a)\/(-9)*-22. What is the highest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*c - 6, 925*o - 4*c = 922*o - 4 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-10*s + 6*s - 17*s)*(-4*s**4 + 5*s**4 + s**4) + (6*s**5 - 3*s**5 + 5*s**5)*(1 - 3 + 1).\nAnswer: 76*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 1:23 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 121 - 132 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04301 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 449 from 0.4.\nAnswer: -448.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*j + 5 = 29, -27 = -2*l - 5*j. Suppose -500 = -l*y + 586. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + (-2457)\/(-416))\/((-42)\/4). Which is the biggest value? (a) 4 (b) -3 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 12*l = -a + 13, 0 = a - 3*l - 11. Suppose -4*w = 8 + 16. Let i(u) = u**3 + 5*u**2 - 5*u + 3. Let s be i(w). Put a, s, -5 in decreasing order.\nAnswer: a, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*i + 2 = 138*i - r, -3*i = 4*r + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -8, 6, 5 in descending order.\nAnswer: 6, 5, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.58 + -8. Let z = -0.08 + j. What is z rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(3*sqrt(252) - sqrt(252)) + sqrt(252))**2.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 89. Calculate the remainder when x(-4) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 8\/9, -0.2, 69.1 in descending order.\nAnswer: 69.1, 8\/9, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - j + 6*j = -111, 0 = n + 2*j - 42. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 2003?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36839*o**2 - 9*o.\nAnswer: -o*(36839*o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Let k be j\/3 + 4\/12. Solve k = -l + 4*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 4*s + s - 3*s - 2*s + 4*s + (1 - 2*s - 1)*(0 - 2 + 4) - 13*s - 2 - 2 + 15*s.\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20032243 + 401?\nAnswer: -20031342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -5 + 0 + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*i - 28, 9*i - 7*i = -f - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 1, d: 1, y: 2, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10880403960 to the nearest 100000.\nAnswer: -10880400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/40 or 0?\nAnswer: -49\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 703\/3 - 8\/(-12). Let q(b) = -k - 10*b + 235 - 3*b. Let c(s) = -2*s. Give q(c(g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 5, 4, 3, 2?\n\"Answer: -u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9745*v**3*z**2 + 8*v**3*z + v**2*z - 288 wrt z?\nAnswer: -19490*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(7\/19) + 41 + -7.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -5\/24*x**4 - 2\/3*x**3 - 5*x - 1\/24*x**5 + 0*x**2 + 0. Let h(f) be the second derivative of p(f). Differentiate h(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 588.6 + -586.6. Let z = 4 + -3.6. Put z, g, -2\/11 in decreasing order.\nAnswer: g, z, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 290 - 80 = 0. Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2830735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*m - 5 = 0, -4*z + 17 = -3*z + 4*m. Suppose z*f = 2*f. Suppose f*y - 4*y = -48. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/563, 5, -0.207, -1?\nAnswer: 2\/563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3936830464 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73.3 + 0.7. Let r = t - 73.937. Let q = -0.06299728 + r. Round q to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 623824*d + 4366964.\nAnswer: -4*(d - 7)*(d + 155963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/3 + 11*q + 4. Let s(j) = 3*j**2. What is i(s(b))?\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9547 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 794 in decreasing order.\nAnswer: 794, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 133950.0834s in weeks?\nAnswer: 0.2214783125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03758 - -409.33758. What is c rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3*w - 15 = 7*p, -5*p - 2*w = -10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0327842 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -4, -1.5, 2\/13, 0, 0.004?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -587528, -587526, -587520, -587510, -587496?\n\"Answer: 2*d**2 - 4*d - 587526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(90)*-2 + 5*(sqrt(90) - sqrt(90)*-2))\/(sqrt(5) + ((sqrt(20)*-1)\/sqrt(4) - sqrt(5) - sqrt(5)) - (sqrt(405) - (-2*sqrt(405) + sqrt(405)))))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*r = -17, 3*k - 7*k + 24 = -k + r for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 greater than or equal to 113\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80432, -80382, -80308, -80198, -80040, -79822, -79532?\n\"Answer: 2*i**3 + 36*i - 80470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - k + 2*k)*(-2*k**2 - 4*k + 4*k) + 4*k**3 + k**3 - 4*k**3 + (k**2 - 5*k**2 + 3*k**2)*(-4 + 2*k - 3*k + 1) to x*k**2 + n + w*k**3 + l*k and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**19*b\/b**(-32) assuming b is positive.\nAnswer: b**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -340b - 10933?\nAnswer: -13d40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27425740 by 190.\nAnswer: -144346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 45*c - 14. Let n be l(7). Suppose -5*t = 5*h + 490, h - 4*t = -2*h - n. Find the common denominator of (-12)\/9 - 57\/h and -79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqqqqqhqqq. Give prob of sequence qh.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 + 0) - 5. Let i = d - -6. Let b(z) = -z + 0*z**3 + 6*z**2 - i - z**2 + z**3. What is b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 7. Suppose 5*i + 4*r = -300004, 3*i - 240003 = c*i + 3*r. What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 2038322.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/105)\/4*3*(-490)\/(-525)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*p = 13*p - 82*p + 3861 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 108 = -5*s + 10*z, -2*s + 5*z + 68 = 0. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/7)\/(((-868)\/308)\/31).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1749 and 4187.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767 - -5358\/7. What is the common denominator of t and (10829\/210)\/(-17) - 0?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*h**6*s**2 - 3*h**4*s**3 - 110*h**2*s**2 + 2*h*s**3 wrt h?\nAnswer: -1560*h**3*s**2 - 72*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 42*s**4 + 8*s**3 - 10*s**3 - 5*s**4 to the form a*s**4 + c*s**2 + q*s**3 + z*s + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 13 = -44. Let h be ((-28)\/21)\/4 - 14\/v. Let x(w) = w**3 - 5*w**2 + 11*w. Let n(k) = k**3 - 4*k**2 + 10*k. Give h*n(o) + 4*x(o).\nAnswer: -o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123658626 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4136*m**5 + 2715*m**2 + 3*m.\nAnswer: -248160*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 133?\nAnswer: -205\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (3 - 1))\/(4 - 3). Suppose 10 = 18*r - 13*r. Let g(p) = -4*p + 22. Let b(x) = -x + 7. Let n(v) = r*g(v) - 7*b(v). What is n(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151224027.\nAnswer: 3, 17, 2965177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14976 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -109. Suppose 5*z + r = z. Is ((-27)\/z)\/((-3)\/(-32)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 100, 115, 136?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 4329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7*m - 4240016 = -3*m, 2*t + m = 2119996. What is t rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 352, 275, 198, 121, 44?\n\"Answer: -77*y + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21122*z - 2*z**3 + 21122*z + 5*z**4 + 31 - 2*z**2 to the form j*z**2 + t + x*z**4 + r*z + v*z**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/4, 3, -131, -3, -23, 1\/4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1046 - 1046. Sort -8\/9, -0.3, r.\nAnswer: -8\/9, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995706814 to the power of 1\/4, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*g**2*x - 15*g + 4*x wrt g?\nAnswer: 340*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781987282?\nAnswer: 2, 3923, 99667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 62*p - 9395. What is c(140)?\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5295556 divided by -2647778\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2*m**2 + 3*m**2)*(0*m**3 - 3*m**3 + 4*m**3) + m**5 + 0*m**4 + 0*m**4 + 2*m**5 - 2*m**5 - m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*c - 1464 + 1464 + 3*c - 2*c - 3*c - 2*c - 1 + 1 + (2*c - 3*c - c)*(-1 + 1 + 1) - c + c - c - 2*c + 15*c + c to j*c + w and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*2\/(-3))\/((-12)\/(-72)). Sort 0, x, 1 in descending order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 129953913264.\nAnswer: 129953913263.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 52*f - 96*f + 4 to the form k + g*f and give g.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 5. Let m be b(-7). Let u = m - 17. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*0\/(9\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614938468.\nAnswer: 2, 153734617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/43, 124, 0.2.\nAnswer: -23\/43, 0.2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = 3*m, 4 + 4 = 5*x - 2*m. Suppose 57 + 11 = -x*n. Let l = n + 89. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829740851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c + 4. Let s be d(-5). Let y = s - 2. What is the smallest common multiple of (-3)\/(y*(-12)\/32) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135530 + -12?\nAnswer: 135514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*z**4 + 27*b**2 - 813*b*z**5 + z**2 wrt z?\nAnswer: -48*b**2*z - 48780*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 4*o + 13. Let x(l) = 5*l**2 + 3*l + 12. Determine 3*j(b) - 2*x(b).\nAnswer: 2*b**2 + 6*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/92 or 1?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 0 + 12*z**2 - 1\/3*z**4 - 1\/60*z**5 + 0*z**3. Let k(n) = 2*n**2. Determine s(k(h)).\nAnswer: -4*h**4 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.998 and 1682.6.\nAnswer: 1678.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13995, -26330, -38665, -51000?\nAnswer: -63335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/22 + (-4)\/22. Solve -1 = t*n + 4*p - 5, 2*n + 3*p - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3874681 is divided by 579.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 718533860 and 431120316.\nAnswer: 2155601580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1960 - -1986. What is the remainder when 1429 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/18 + j**2\/3 + 4*j. Factor t(y).\nAnswer: -2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1245*d + 645*d + 5680*d - 2190*d + 5597*d + 190*d - 3*d - d + d + (2 - 3 + 3)*(-3*d + 2*d + 2*d).\nAnswer: 11166*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -15*t**2 + t**3 - 18*t**2 + 28*t**2 - t + 4. Let o = 14 + -9. What is n(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*(-2)\/2. Let o = 5 - s. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 29 + 131 + 117.\nAnswer: -g**3 + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2 + -278*1). Suppose -3*b - b = -r. Calculate the lowest common multiple of 20 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4427890, 8855788, 13283686?\n\"Answer: 4427898*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 39*j - 963. Let b be v(26). Solve 43*n - 24 = b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3443\/8869 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -o = 3*o + z - 244. Suppose -2*t - 82 = 2*k, -k - 3*t - 2*t = o. Is -36 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 516, 869, 1358, 1983?\nAnswer: 2744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.44 + 0.56. Let b = c + -36.00017. Round b to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 66*w**3 - 630*w**2 - 1054*w - 492.\nAnswer: 2*(w - 41)*(w + 1)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209948013.\nAnswer: 3, 11, 47, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33543*i**4 + 5*i**2 - 3624790*i?\nAnswer: -402516*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + n + n)*(n**2 - 5*n**2 + 3*n**2) + 1524 - 116*n**3 - 1524)*(n + 0 + 0).\nAnswer: -115*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 2*p - 24. Let f(q) = 7*q**2 + 8*q - 96. Calculate 9*d(i) - 2*f(i).\nAnswer: -5*i**2 + 2*i - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -71*p**2 + p - 1. Let r be s(-1). Let o = r - -207. Round o to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -80, -121?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838806 is divided by 130.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/5 less than 1902273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 33\/19, -2\/9, 1\/3, -0.3 in decreasing order.\nAnswer: 33\/19, 1\/3, -2\/9, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let v(x) = -3*x + 6. Determine i(v(j)).\nAnswer: -3*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 19*q**2 - 21*q + 35. Let j be 8\/(-3) + 3 + (-118)\/(-6). Calculate the remainder when 72 is divided by n(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15113\/5 - 3033. Let r(l) = 28*l - 1. Let o be r(5). Let t = 698\/5 - o. What is the common denominator of n and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 3*c**2 - 4*c - 3. Let y be s(-3). Suppose -552 = y*k - 13*k. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4032 + 106*y**2 - 1351 - 1346 - 1349.\nAnswer: 106*y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 134944875 divided by 5?\nAnswer: 26988975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 9*v**2 + 58*v + 16. What are the prime factors of l(-18)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11802075 and -5?\nAnswer: -59010375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*k**2*p**2 + 1284*k**2 + 225999*p**2 wrt k?\nAnswer: 98*k*p**2 + 2568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7695 is divided by 762.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2))*3)**2 - (-2*(2 + sqrt(1539)))**2)*4.\nAnswer: -576*sqrt(19) + 129212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 4 + 302*x**2 + 4 + 160*x**2.\nAnswer: 462*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -461163 (base 7) to base 2\nAnswer: -10100000010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from uuuiuuuu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*u + 5*h, -4*u = -0*u - 4*h - 72. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1974 and (36\/376)\/9*44\/672*-6.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -184.457309277.\nAnswer: -184.157309277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.32 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -d + 4, -2*d - 6 = 4*x. Find the common denominator of 23\/9 and (-1318)\/(-540) - x\/(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*l**6 + 1319*h*l**3 - 529*h*l**2 + 3*l**2 wrt l?\nAnswer: 240*h*l**3 + 7914*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let g be (-1)\/v - 69\/(-12). Let j(q) = -17 - g*q + 17. Let n(y) = -3*y**2. Determine j(n(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24540922391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -700993\/90 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-3)*(-4)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -145325*n**2 - 13*n - 7 + 290643*n**2 - 2 - 145319*n**2 - 3. Let d = 10 - 20. Determine l(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7421, -5, 3.36, 2\/13, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126895 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 5*k**2 - 7*k + 4. Let c be p(4). Let i(b) = 49057*b**2 + 49046*b**2 + 49041*b**2 + b**3 + 5 - 147135*b**2 + 8*b. Determine i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-348)\/24) + (-2 - (-2)\/(-19))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m. Let r be a(-2). Find the second derivative of s + s + 0*s - s**r wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 + 213*s + 6260.\nAnswer: -8*s**3 + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 16*c - 12. Let v be d(1). What is the highest common factor of 415 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 + 14*u + 24. Let j(l) = -l**3 + 2*l**2 + l + 2. What is 3*j(v) - m(v)?\nAnswer: -2*v**3 - v**2 - 11*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - ((-4368)\/(-264) + -16 + (6720\/(-66))\/7).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/(5194\/(-49))*(-116)\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) + 1)*-5*-3 + -3*(2 + sqrt(242) + 1 - sqrt(242)*-2*1))**2*-6.\nAnswer: -642978 - 58212*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -777, -1178, -1587?\nAnswer: -2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -v - 20, 4*v + 4*z - 40 = 8*z. Let t = -6 + 0. Calculate the remainder when t\/(-15) + 68\/5 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8373, 16748, 25123, 33498, 41873, 50248?\n\"Answer: 8375*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34. Which is the third biggest value? (a) -5 (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/(-10)*(-1 - -2). Suppose -2*o + 3 = -1. Suppose 2*x = k - s, x + 5 = o*k - 21. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6 - 3*r**2 + 3*r**2 + 2*r**3. Let w be ((-2)\/3)\/((-1)\/6). Suppose -16 = 20*h - 62*h - 58. Let b(d) = d**3 + 1. Give h*t(z) + w*b(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18936*x - 18984*x + 624 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 5)*5.\nAnswer: 5*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/7 - 12*s**4\/7 - 10*s**3\/7 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 18*y + 0*y - 23*y - 4 - 2*y**2 as j*y + m*y**2 + g*y**3 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2708*c = 2706*c - 4*r + 26, 2*c = 4*r - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32110111 (base 4) in base 2?\nAnswer: 1110010100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 0.5 (b) -2\/5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*y + 2*y = 274, c - 47 = 3*y. List the prime factors of (c\/(-10))\/((-2)\/5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 969, 1364, 1779, 2220, 2693?\nAnswer: 3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 6*u + 3. Let t be a(-7). Let d = t + 0. Suppose 0 = -5*c + 3*c + 12. What is the least common multiple of c and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0 + 40. Suppose 4*u + 4*z + 495 = -209, -5*z - n = 0. Let d = 251 + u. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 14*d - 6*d)*(4*d**3 + 13 - 13).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 19*n + 3*n to the form c + p*n and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 8*m**2 + m + 4. Let k be b(8). Solve a + 2*a = -k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 1, -3 in decreasing order.\nAnswer: 1, 6\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(-24)*(i\/i**(2\/9))**(1\/4) assuming i is positive.\nAnswer: i**(-569\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10163*a**3*v + 1403*a**3 - a + 32 with respect to v.\nAnswer: 10163*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Calculate the remainder when 33 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 72*l - 60*l. Let h be (l\/14)\/(40\/70). What is the fourth biggest value in -1\/12, h, 2\/3, 13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + t**2 - t**2)*(11*t + 9*t - 1 - 22*t).\nAnswer: -2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105 not equal to 9494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/(-440) + (-120645)\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87995.5 - 87995. Let l = 6382\/19 + -336. Put 0.6, g, -5, l in ascending order.\nAnswer: -5, l, g, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/45*6\/21*1*(-20)\/(-116)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304650620?\nAnswer: 2, 5, 653, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*w = 3, 15 = 3*h - w + 3. Suppose -h*j + 2*j = 5*l - 40, -3*j - 5*l + 100 = 0. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52923.8 (b) 11 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12805384, -12805387, -12805404, -12805441, -12805504, -12805599, -12805732?\nAnswer: -12805909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + i)*(i - 81 + 118 + 118) to the form x*i + f*i**2 + v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 1 + -8 - -6) + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 5*y + 4*y)*(16*y - 10*y - 11*y)*(y**2 - 5*y**2 + 3*y**2).\nAnswer: -5*y**4 - 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 + (-12)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 29*s - 31. Let j be a(1). Let n(t) = -7*t - 2. Let b be n(-4). Suppose -r = -j*r - b. Calculate the remainder when 103 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8162662 + 13?\nAnswer: -8162649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 2. Suppose -3*d = -38 + 5. Let b(m) = -9*m - 11. Let z(y) = d*i(y) - 2*b(y). Let u(h) = -26*h - 28*h - 28*h + 80*h. Give z(u(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11*o = 12*o - 63, 4*p - 5*o + 249 = 0. What is the common denominator of 2 - (-188)\/p - (-13 - -14) and -1\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/192755 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**22*u\/(u\/(u\/(u\/(u*(u*u**(-2\/11)*u)\/u))*u)))**(-32))**(-19\/3) assuming u is positive.\nAnswer: u**(172672\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 8. Let n be 162\/(-68) - (-130)\/52. Which is the fourth smallest value? (a) -12 (b) n (c) 0 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -138*i + 457. Give x(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -936922, -936927, -936934, -936943, -936954?\nAnswer: -936967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2034349299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 2*o**2 - 9*o + 6. Let x be ((-6)\/4 - -3)*24\/9. Let r be y(x). Suppose -10*j = -8*j - 330. Calculate the greatest common factor of r and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 + -102. Let z(p) = 14*p + 14. Let c(r) = 7*r + 6. Let t(b) = -5*c(b) + 3*z(b). Calculate the remainder when m is divided by t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 190. Let x be p(0). Let l = 5 + -1. Suppose -l*s = 2*b - 48, -3*s = 5*b - x + 49. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/5*l - 4 - 1\/5*l**4 + 21\/5*l**2 + 19\/5*l**3.\nAnswer: -(l - 20)*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 66.932. Let q = 0.032 + l. Put 5, -3, q, 0.2 in descending order.\nAnswer: 5, 0.2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8935 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let d(g) = -4*g**2 + 7*g + 2. Determine -d(n) + 6*r(n).\nAnswer: 4*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2729*v**2 - 268066*v**5 + 268066*v**5 + 3928*v**6 wrt v?\nAnswer: 471360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-834)\/(-2641)*-285)\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 times -5381116\nAnswer: 317485.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.4 - 37.58. Let i = y - 3.3. Let x = 0.519891 - i. What is x rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-26))**(-42)\/(f**34\/f)**(-17) assuming f is positive.\nAnswer: f**1653","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*l**2\/4 - 5*l\/8 + 9\/8 = 0. What is l?\nAnswer: -1, 9\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -89. Solve 5*k + c = f, 7*c + 10 = 5*k + 3*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 595 = -u + k, u + k = 299. Let r = u - 266. Suppose 0 = -d - 2*x + 65, 5*d - 2*d - 235 = 2*x. Calculate the highest common divisor of r and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27537 (base 13) to base 3.\nAnswer: 10201200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1001001011011111?\nAnswer: 1001001011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**2*v**2 + 23*m**2 + 58*v**2 - v + 4 wrt m.\nAnswer: 8*m*v**2 + 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91849, 91766, 91683, 91600, 91517, 91434?\n\"Answer: -83*z + 91932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 2:12 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 9) to base 6\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a - 5. Give f(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 5) to base 16\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 8. Let y(v) = v - 13. Let o be y(7). Let q(n) be the second derivative of n**3\/6 - n**2\/2 + 6*n - 1. Let x be q(o). Calculate h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 786 - 3756 = 0. Let m(u) = -u**3 - 11*u**2 - 10*u + 10. Let l be m(-10). Calculate the greatest common factor of l and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541 + 542. Calculate the least common multiple of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r + 0*r - 5*r)*(0 - 5 + 4) + (-3 + 4 - 2)*(-2 - 945*r + 0 + 1011*r) - r + 0*r + 3*r to f + k*r and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, b: 4, a: 6}. Give prob of picking 2 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 178 = -4*w, -2*t - 3*w + 111 + 63 = 0. Suppose 0*g + 5*q + t = 4*g, -5*g = -2*q - 80. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-5 + 5 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-4) - 3\/4 - -443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnwwnnnwn. Give prob of picking 2 w and 1 n.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 6*q + 4 - q**2 - 3\/2*q**3 = 0?\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2190985\/237 or -9244?\nAnswer: -9244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 5*w - 3. Let o be d(-2). Suppose -o*p - 2*p = -475. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 22*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 6 + 1 + 0*n + 5.\nAnswer: -n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**3 + 0*m**2 + 0*m**2)*(8 + 5*m + 1 - 6) to y + s*m**3 + z*m**4 + a*m + l*m**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5 + m + 3*m**3 + 3 to n + o*m**3 + d*m**2 + k*m and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 1, s: 9, t: 3, c: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3 - -6) + -33. Let s = -24 - g. Let u = -1 - -1. Solve u = -z - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ununa. What is prob of sequence uan?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(117 - 263 + 114 - 2*y).\nAnswer: 4*y + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h - 317*h = 239. Sort 48, -56, h, 5.\nAnswer: -56, h, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -522*i. Let b(a) = -14715*a**2. What is b(d(s))?\nAnswer: -4009602060*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -25*c**2 - 20*c + 39. Let l(p) = -11*p**2 - 10*p + 20. Let h(d) = -4*b(d) + 9*l(d). Let a be h(3). Factor 0 + t - 5\/6*t**2 + 1\/6*t**a.\nAnswer: t*(t - 3)*(t - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222324?\nAnswer: 2, 1305581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.0460263 (b) 2 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 5*h + 10*h = 51, 10*h - 46 = 4*j - 3*j + 33 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1899236385 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 3, m: 4, p: 1}. Give prob of sequence pfmf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(399)\/sqrt(7))\/sqrt(3) - sqrt(57)\/sqrt(3)*3.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + 21.38. Let u = -21 + z. Which is the nearest to u? (a) 1 (b) -4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 388*l + 131*l + 135*l + 4*l**3 + 132*l + 8*l**2 - 2*l**3.\nAnswer: 2*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 158*l - 5866. Determine f(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(4\/2))\/((-957)\/(-957)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l**2 - 1)*(l**3 - 2*l**3 + 0*l**3) - 3*l**5 + 4*l**5 + 3*l**5 + (3*l**2 + 0*l**2 - 2*l**2)*(-2*l**3 + l**3 + 2*l**3).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18501529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -15*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -984891*t**3 - 434314*t**2.\nAnswer: -5909346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244599760 or 244599754?\nAnswer: 244599754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -68.25565896.\nAnswer: -68.75565896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/238 and -125\/154?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685.5 * 2.\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54412 times 2?\nAnswer: 108824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 184 (b) -0.4 (c) 0 (d) 5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ekkuwywyyyeuykwyyeee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 are the prime factors of 4033?\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 + -429. Let o = 184 + p. Let f = 21 - 64\/3. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3)\/(-3)*0. Suppose -5*k + 2*k + 135 = u. Suppose -3*z - z - 2*o = -32, z = 3*o + 15. Calculate the highest common divisor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = -2*v, c - 7 = 9*v - 8*v. Solve -5*z - 17 = -3*k, -c*z = -6*k + 3*k + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(21)\/(sqrt(14)\/sqrt(2)))**2)*-6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196979, 2393890, 3590801, 4787712, 5984623, 7181534?\nAnswer: 8378445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 69.8. Let z = k - 2.2. What is the closest to 0.1 in z, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 - -4222?\nAnswer: 10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*f**2 - 14*f**3 + 12015 + 12019 + 40*f**3 - 24034 to w*f + b*f**2 + c + r*f**3 and give b.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005415 rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*x - 2*j + 96 = 104*x - 204*x, 9*j + 5*j + 235 = 19*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1402.81cm to meters.\nAnswer: 14.0281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0 = -12, -35 = 3*r - y. Which is bigger: r or -14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((3*(-2)\/(-16))\/(14205\/18940))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117140 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: Four letters picked without replacement from {z: 2, x: 2, h: 1}. Give prob of sequence zhzx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 12839\nAnswer: 5135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7))**(-3\/47)*(w\/(w\/w**(-2\/7)))**(-2\/35))**(20\/9) assuming w is positive.\nAnswer: w**(21332\/20727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 72*n. Let i be j(2). Let z be ((-3)\/(-2))\/(2\/(-108)). Let b = z + i. Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(26 - 10) - 2\/6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + 13. Let s = -111 + k. Suppose 1399 = b - s*n, 8665 = 5*b + 2*n + 1670. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/21 - (-2)\/1. Suppose 2 - 5 = k*m. Is 3*m - (-5320)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 greater than -2.87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9.9 * 61\nAnswer: 603.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.16528 decades in years?\nAnswer: 611.6528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7343*p + p**2 - 7343*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.21, 8\/3, 2\/9?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3424 - -3421. Let s = 36 + -107. Which is the second smallest value? (a) y (b) 4 (c) 0.5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -43)\/(34\/102). Suppose -139 + g = -2*o. Solve -o*h - 20 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 17*f + 6 = 0. Let x = 11 - 2. Suppose -x*y + 21 = -f*y. What is the least common multiple of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**7 + 3*w + 0*w**6 + 0*w**2 + 0 + 0*w**5 + 0*w**3 - 1\/56*w**8 + 1\/4*w**4. Find the third derivative of c(b) wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(51)\/sqrt(3)*5 + -2 - (0 + -4*-2*sqrt(68)*-5).\nAnswer: -9 + 85*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 11 (c) 0.3 (d) 248642\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let o = -20 - -40. Let j = -6 + 11. Solve y*w = -o + j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011221002000 (base 3) to base 13.\nAnswer: -1176132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 4*n - 9. What is the smallest common multiple of 104 and t(-5)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218939*g**4 + 118273 with respect to g.\nAnswer: -875756*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/(-12) + (-10 - -18))\/((-24)\/(-2376)*187).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814444?\nAnswer: 2, 37, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 9*l - 13. Let s be p(-7). Let t = 6 - 6. Suppose -2*f + 6 = 2*x - 3*f, x - f - 2 = t. Solve x*m + 5 = s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5361, 5352, 5343, 5334, 5325?\n\"Answer: -9*g + 5370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-94)\/(-6))*3240\/36. Suppose -m - 7488 = -5*g, 11*m - p = -g + 12*m. List the prime factors of g.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 0*a**4 + 3*a**4 - 2*a**4 - 2*a**4 + 5*a**4 + (-a**3 + 0*a**2 + 0*a**2)*(-3 + 2*a + 3) + 186*a**4 - 8*a**4 - 25*a**4.\nAnswer: 150*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*(-13)\/(-41 - 11). Let d(w) be the second derivative of 0*w**2 + 0 - 1\/10*w**6 + i*w**4 - 3\/20*w**5 - 10*w + 0*w**3. Factor d(g).\nAnswer: -3*g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.588008l in millilitres?\nAnswer: 3588.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*u + 13. Suppose 2*r - 3*r + 3*c = -12, 0 = -2*r + u*c + 22. Suppose -r = -d + 2. What is the highest common factor of 77 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1348 = -4*n, 9*m + 5*n + 3340 = 4*m. Let k = -6010 - m. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 13*r - 9. Let p(y) = 4*y**2 + 14*y - 10. Let v(f) = 4*p(f) - 5*t(f). Give v(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*i = -32, -6*o + 4952 = i + 1649 + 1649 + 1707 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32014 is divided by 1449?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 62336 = -5*m, -m + 62344 = 6*y - 4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3313*0.2.\nAnswer: 662.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 255. Determine w(17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 32*o + 28. Is 68 a factor of t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**6 + 5*x**4 - 19*x**2. Let f(g) = -77*g**6 + 42*g**4 - 161*g**2. Let k(a) = 5*f(a) - 42*z(a). Find the third derivative of k(s) wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 + 0.47. Which is the nearest to 3\/2? (a) -1 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 5*v**7\/14 + 17*v**6\/30 + 483*v**3\/2 + 9*v - 119. What is the second derivative of n(b) wrt b?\nAnswer: 300*b**3 + 204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507415957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-25) - (-285)\/25. Calculate the common denominator of 37\/40 and -3 - ((-7931)\/315)\/x.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**7)**(-29) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -116133 (base 10) in base 3?\nAnswer: -12220022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1554 and 0.76.\nAnswer: 0.9154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 14*r - 2. What is the remainder when j(6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/7)\/o)\/o**(-2\/19))**(-50))**(-35) assuming o is positive.\nAnswer: o**(-25000\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621259.\nAnswer: 621259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4 + -1)\/(((-95)\/(-10))\/((-30039)\/6324))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7551, 15390, 23229?\n\"Answer: 7839*i - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.09054 + 0.09054. Sort -2\/5, 3\/2, 6, o, 0.5 in ascending order.\nAnswer: o, -2\/5, 0.5, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -10. Suppose -3*u + 3 = j, 0*j + 3*j = -3*u + 3. Let x = u + d. What is the nearest to 2\/5 in x, -1\/4, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4375 + 285. What is p rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798030.\nAnswer: 2, 5, 23, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.57 - 4.5. Let f = p - -0.06. Let l be (-3)\/((-6)\/(-8)*2). Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3088452886 and -149.62.\nAnswer: -150.9288452886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (4\/6)\/1. Let t be (-2)\/12*18\/4. Let c = 0.3665 + -0.0665. What is the nearest to z in c, 0.2, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 50. Let k = 0 - 5. Let g = 0 - k. Solve n - g = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcc when four letters picked without replacement from {c: 5, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74673094 is divided by 3061?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lavl. What is prob of picking 1 a and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from iibjggbbkggigsjbgijs.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46312583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -119304, -5, -0.1, 4, 5, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -914 + 925. Sort 0.5, 1, n in decreasing order.\nAnswer: n, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*b - 7. Let k = 81 - 79. Suppose d - 5*r + 23 = b*d, 0 = k*d + 3*r - 14. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 4*n - 4. Let w = 6 + -8. Let g be 1 - 5\/w*2. Is 4 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37154 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.428 - -7.\nAnswer: 5.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 13*n + 20. Let x be f(-5). Suppose -v + 6*v = 25. Calculate the greatest common factor of x and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11155877*-0.2.\nAnswer: 2231175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2478 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r + 9 - 9)*(0*r + 164 + 35 - 2*r).\nAnswer: -58*r**2 + 5771*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-224)*-7)\/(3\/48*-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25281023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - 2*g**2 - 2*g**2)*(-786*g + 92*g + 73*g) as m + t*g**2 + d*g**3 + l*g and give d.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 222, 408, 594, 780?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 453 - 4474?\nAnswer: -4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by 117208?\nAnswer: 283\/117208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408 + -406. Solve -5*m + 2*m - 4*d - 1 = 0, -m = -w*d + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-3647)\/3. Calculate the highest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:31 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29873876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 10:06 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + 2 + -3 + (9 - (26 - 6)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/3, 0.09981, 2\/17, 30?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/6 - 4*t**2 + 6*t. Is 30 a factor of l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 14*k + 39. Calculate the smallest common multiple of b(-9) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**4 + 5*h**3 + 296*h**2 - 4472*h wrt h.\nAnswer: -120*h**2 + 30*h + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (12\/(-4))\/1. Let n(s) = -4*s - 3. What is n(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (250\/(-6))\/((-15562)\/(-93372)*2\/((-2)\/5))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26969 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a + 30. Let q(w) = -674*w**2 + 4*w - 177. Calculate -6*l(t) - q(t).\nAnswer: 668*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1056 + 2105 + 125*d - 1051 to the form i*d + a and give i.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 50. Suppose -2*r + 23 = -5*h, -3*r - 2 = 1. Let a be o(h). Solve -f + 3*f - 5*w + 6 = 0, 4*f - a*w + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 79*f + 6 = 0. Solve -f*p + 3*p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164560\/159 or -1035?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000058829896 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fysvufw. What is prob of sequence ufs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + l = -4*o + 84, 5*l = 20. Suppose 0 = -6*x + 2*x + 96. Let j = o - x. What is the greatest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2244 + 0.4244. Suppose -3*y - 8 = 7. Let g = -0.61 - -0.21. Which is the nearest to y? (a) 0.1 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 4\/12)*6\/(-4). Solve -5*i - w*c - 1 = 1, 5*i - 5*c + 20 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415208 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: What is next in -360374, -720753, -1081132?\nAnswer: -1441511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.345 + 53.345. Which is greater: 0.7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5 + p**4 + 5568*p**3 - 360499*p**2 wrt p.\nAnswer: -300*p**2 + 24*p + 33408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 17 = -5 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/7341280 and -5\/183532?\nAnswer: 7341280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319.\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6605112 to the nearest integer?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 16 = 4*k, -5*k = 3*n - 0*n - 9. Let f(y) = 5*y - 9. Let g be f(k). Suppose -94 = -g*b + 26. What is the smallest common multiple of b and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86157, -172316, -258475, -344634, -430793, -516952?\nAnswer: -603111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 174078000 to the nearest one million.\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/9)\/g**(2\/5))\/(g\/((g**5*g)\/g)*g\/(g\/g**(3\/4)*g)))\/((g*g**(-2\/9)*g*g*g*g**(2\/5)\/g*g)\/(g**(-2\/5)*(g*(g\/(g\/g**5))\/g)\/g)) assuming g is positive.\nAnswer: g**(569\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 3*t - 17, 0 = 27*i - 22*i + 3*t - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48))*6.\nAnswer: -6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w + 2. Let m be b(-1). Let t(f) = f**3 + 11*f**2 + 8*f - 19. What are the prime factors of t(m)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59535 = -3149*y + 3158*y. List the prime factors of y.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 162 = -11*u. Let p(l) = -l**3 + 13*l**2 - 25*l + 8. Is p(u) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -1481 + 1616. What is the lowest common multiple of 162 and s?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5\/5 + 540*p**4 - 238764*p**3\/5 - 41184576*p**2 + 11009236992*p\/5 - 28807593984 = 0.\nAnswer: -240, 26, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(30\/13))\/j**(-35))\/(j**(-12\/7)*j)**(-2\/11) assuming j is positive.\nAnswer: j**(39217\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 - 2*b - 1. Let l(f) = f - 1. Calculate 3*l(j) + t(j).\nAnswer: -5*j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 135 + 4 - 2 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t + 31*t - 33*t - 19*t + 1245 as a*t + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74181012 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdddnxxpxdadnpddd. Give prob of picking 2 x.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 10 = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/z**1)\/z))**(2\/5)\/(z\/(z\/z**(2\/31))*z*z*z**(-15)) assuming z is positive.\nAnswer: z**(2067\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*m**2*v**3 - 2*m**2*v**2 + 96*m**2 - 21*m*v**2 - 2*m - 801*v**3 wrt v?\nAnswer: 264*m**2 - 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143, -282, -421?\n\"Answer: -139*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(-6)\/2376*18\/4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 3*p. Suppose -z + 15 = p*z, -21 = -2*y - z. Suppose b = -3*i + 76, 1909*i = 1913*i + 2*b - 100. What is the remainder when i is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose b + 18 - 22 = 0. Suppose o*r = -2*i + 6 + b, -4*i + 2 = -2*r. Solve 4*s + 5 = r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 793 in -2, 1\/82, 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15410, -15537, -15664, -15791, -15918, -16045?\nAnswer: -16172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2. Let a(v) = 13*v + 7. Let b(h) = 6*h + 3. Let f(j) = -3*a(j) + 7*b(j). Calculate f(q(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6997\/19272 + 1\/1752. Factor 2\/11*a**2 - s*a - 6\/11.\nAnswer: 2*(a - 3)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 2*m - 8, -5*z = 4*m - 16. Let v be (z\/((-10)\/5))\/(-2). Solve v = 4*a + 12, 0*d = 2*d - 3*a - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -11 (d) 18 (e) -0.2 (f) 1\/42\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfffmfmumummfm. What is prob of sequence uf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14457 + 28380. Calculate the highest common divisor of 364 and l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -416 + -98?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*b = 6, -3*w - w = -3*b - 2. Suppose c = -4*p + 5*c + 4, 0 = -2*c + w. Is 16 a factor of 16\/(-1 + p + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 - 728*g**3 + 35236*g**2 - 192192*g + 278784 = 0 for g.\nAnswer: 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 + 39)\/9)\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, -36, 40, -5 in descending order.\nAnswer: 40, 2, -2, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from dkdfadadfaffd?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -13. Suppose k = 3*j - 116. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -252181994800.\nAnswer: -252181994803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (4 - (8 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzrmmzzjmwmwrmwwrj. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3908*x - 8096 + 1955*x - 6036*x**4 + 1953*x wrt x?\nAnswer: -24144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 60. Suppose 0 = 4*r + 37 + 31. Is r smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36198 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/6 - (-9)\/54. Let a = 80 - 22. Is u*2 + -1 + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 132. Let x be ((-35)\/(-42)*v + 2)*0. Let p be (-1 - 2)*4\/(-6). Solve x = 3*q - p*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.2793 - 0.7207. Let b = 0.01 - 4.01. Let h = -0.2 + 0.3. Put h, x, b, -0.3 in descending order.\nAnswer: h, -0.3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -12\/589 (b) 1 (c) -1 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/273? (a) 1\/15 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264812663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 23*i - 29 + 16*i - 318 + 6*i.\nAnswer: -i - 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 1 + 3*j**4 - j**3 + 5*j**2 + 4*j**2 + 3*j**3 to the form k*j**2 + r + p*j + a*j**4 + l*j**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(170) + -1*sqrt(170))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.029 - -0.029. Let s = h + 17. Let m = -6 + 5.92. Which is the closest to 1? (a) m (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 23*k**2\/3 - 418*k\/3 + 96.\nAnswer: (k - 16)*(k + 9)*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 4*l = -33*c + 27, -2*c - 13 = -l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 3*r, r = 4*r - j - 11. Solve 2*a = q - 4, -4*q + 3 + 1 = r*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6502293 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and 1536.72?\nAnswer: 1536.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213846697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50797, -101503, -152209?\n\"Answer: -50706*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.788 + -49608.3716419.\nAnswer: -49607.5836419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 54) + 75 - 109.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 157?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + 82. Calculate the remainder when c is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {c: 1, a: 1, t: 2, x: 2, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(13) - (sqrt(13) + 1)) + sqrt(13) + 3 + -4)**2 + (sqrt(39)\/sqrt(3) + -5)*-1 - 1*sqrt(117)\/sqrt(81)*1*5).\nAnswer: -40*sqrt(13) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 936, 932, 912, 864, 776?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 62*6\/24*4.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-207 - -58 - -66).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 7015502.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26235 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4 = -5449*l + 5448*l, -2*i - 2 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**7\/147 + 2*i**6\/21 + 6*i**5\/35 - 4*i**4\/21 - 16*i**3\/21 + i - 1059. Factor g(n).\nAnswer: 4*n*(n - 1)*(n + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t. Let l(v) = v**2 - 19. Let h be l(5). Let r(w) = 3*w - 3*w**2 - h*w - 3*w + 0*w. Let j = 10 + -9. Calculate j*r(q) + 6*k(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:23 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*d - 33, 0 = r - 4*r - 4*d - 33. Let t = r + 19. Let y(q) = -2*q - 5. Calculate the least common multiple of y(-6) and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = -2*c. Let o = 1717\/4 + -434. Calculate the common denominator of (-206)\/16 - (-4 - c) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4699 + -1569. What are the prime factors of f?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (4 - 4))*4*1445\/2890\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 250\/10 + -2*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2618 - -5?\nAnswer: -2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1333*o - 1328*o + 148 = 0, 111 = 3*p - o for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**5 + 94*u**4 - 416*u**3 + 852*u**2 - 792*u + 270 = 0.\nAnswer: 1, 3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 5. Let g(m) = 2*m**2 + 3*m + 6. Let d be g(q). Suppose k - 19 = d. What is the highest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5445 + 5449 + 32 + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23854 - -1216493\/51. What is the common denominator of d and -163\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b602 (base 13) in base 16?\nAnswer: 625f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 0. Let m be (v - -3 - 0)\/(-1). Let d = -3 - m. Solve 3*b - 8*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 148263*h - 593071. What is g(-4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiimziimiizmiwizio. What is prob of sequence wzm?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * 2.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**4\/12 - i**2. Suppose 3*k = -2*k + 5*v + 30, 10 = -k - 3*v. Let l(x) = k*x**2 + 32*x - 32*x. Calculate u(l(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose -27*z + 199 + 395 = 0. Suppose -z*g + 47*g = 20*g. Solve -h + g*h - 5 = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 2*g - 242 = 4*o, 5*o - 4*g - 307 = 0. Let p be (5 + -1)*(-616)\/(-224). Let v = p + o. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2931 - -4469. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*j - 8 = 0, 12 = -0*y + 4*y - 3*j. Suppose 0 = r - 3*i - 4, 0 = 3*r + i - 4*i. Is r >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a3 (base 16) to base 8.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -37 + (126\/98 - (-4)\/(-14)). Let r = -36 - s. Suppose 3*z - 2*k - 2 = r, 3*z + 0*k + 4*k = 32. Solve n = -3*n - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 1372*z**3 + 311738*z**2 + 26218920*z + 730384200 = 0. What is z?\nAnswer: -273, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 272, 16, -504, -1288, -2336?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37446 and 5530.\nAnswer: 1310610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 2378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9987737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 8. Let z = h + 44. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 265\/24*x**4 - 2*x**2 + 58*x - 44\/3*x**3 + 0. Differentiate p(w) with respect to w.\nAnswer: 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*n = 12, n - 3*n = -2*l - 24. Let x(q) = q + 16. Determine x(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -221?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.2. Let u = 14 - 27\/2. Sort x, 3, u in descending order.\nAnswer: 3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 2, x: 10, g: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35710 + -5.38093.\nAnswer: -35715.38093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908 a factor of 103295728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/9*(-9)\/6. Let -y**5 - 3*y**2 + 4*y**4 + 3*y**3 - y**t - 2*y**5 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 + 5*d + 8. Let x(j) be the first derivative of j**3\/3 + 3*j**2\/2 - j + 16. Let c be x(2). Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 1 + sqrt(117) + 4 - (-2 + -2*(sqrt(117) + -3))**2).\nAnswer: -950 + 102*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 - 7*o - 9. Let c(k) be the third derivative of k**5\/15 - k**4\/6 - 5*k**3\/6 - 9*k**2. Let i be (0 - 6) + 0 + 3. What is i*q(n) + 5*c(n)?\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -133*l**2 - 2*l - 4. Let q be g(-2). Suppose -6*d + d + q = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/1335 + -1339\/2670. What is the second biggest value in -0.14, s, 0.01, 0.1, -2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 17*p**2 + 30*p + 30. Let q be x(-15). Let j be (-60)\/9 + (-1)\/3. What is the remainder when 67 is divided by (j\/(-2))\/(3\/q)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyyk when four letters picked without replacement from {r: 6, k: 2, i: 1, h: 2, y: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/19 - 74\/171. Let t = -3.29 + 2.29. Let i = -8 + 9. Which is the nearest to t? (a) i (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:15 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (15 - (25 + -1 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-123))\/(1*2\/(-4))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-28)\/d**14)\/(d**24*d*(d*(d\/d**(-6\/19))\/d)\/d))**(-3\/8) assuming d is positive.\nAnswer: d**(3837\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -132032130?\nAnswer: 132032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -124. Let x = -44 - q. Let f = 18 + x. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -20, -42, -52, -38, 12, 110?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 272 times -4\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.078 - -0.278. Which is the closest to 0.1? (a) -4\/5 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n - 9. Let r be y(7). Let x = -1 + 6. Suppose -24 = x*c - 4. What is the nearest to -0.1 in 1, c, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(-6 + 4*(-106)\/(-96))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280639*w = -280715*w. Suppose -2*u = -2 - 0. Sort 5, -11, u, w in increasing order.\nAnswer: -11, w, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 19*o**3 - 48*o**2 + 11*o - 31. Calculate the remainder when f(9) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.78. Let n = 0.28 - p. Is 0.1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 - 2696 = -178*j + 835 + 2741 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143942\/11 greater than 13086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -234660 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkv when three letters picked without replacement from {w: 2, o: 2, z: 2, d: 1, k: 1, v: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1638 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 65285.55 weeks?\nAnswer: 10967972.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7\/((-196)\/(-16)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 25. Let c be b(0). Let l = 117 - c. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 4, -218, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 445513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/7*20\/(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 27*h**3 - 853*h**2 - 350*h - 61. Calculate k(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7172 or -7208?\nAnswer: -7172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/54*(-306)\/68*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - 112201?\nAnswer: -110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -15) + -5 + 0. Let f be (-45)\/12 + 1*m. What is the nearest to f in -3, 3, -2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5 + 6*m - 4 + 15 + 0*m + m. Give w(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4456\/7 + -636. Let a(v) be the first derivative of 1\/21*v**6 - 16\/21*v**3 - v**2 - 1\/7*v**4 - o*v + 6 + 4\/35*v**5. Factor a(n).\nAnswer: 2*(n - 2)*(n + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193791 divided by 162?\nAnswer: -64597\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/10)\/(b\/((b**26\/b*b)\/b)))\/(b**(-1\/33)\/(b*b*b**(-5\/6)\/b)) assuming b is positive.\nAnswer: b**(4042\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8165658*c**2*p**3 + 2*c*p + 17*p**3 + 24465*p wrt c.\nAnswer: 16331316*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - (-2 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 21. Let w = 306.705 + -313.7. Let n = w - j. Round n to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282*(110\/(-1320))\/(-1*(-3)\/6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -2*o + 1131. What are the prime factors of o?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 0. Let g = 21830.2 + -21830. Let n = 39\/10 - 7\/2. What is the closest to n in g, k, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15055*i + 15039*i = 688 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -269, -377, -487, -599, -713?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13640\/29 or 470?\nAnswer: 13640\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 219\nAnswer: 8\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1856\/2320*(-410)\/8.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1)*k**(-6)*(k**(-1\/2))**41)\/((k*(k**1\/k)\/k)**(-14))**(1\/29) assuming k is positive.\nAnswer: k**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 22, 80, 162, 268?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -6.1. Suppose -4*r - 7 = h, r = h - r + 1. Let q = 0.3 - -0.2. What is the nearest to 0 in s, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/2 - 53*n**3\/4 + 5*n**2\/2 + 2014. Factor g(o).\nAnswer: -o*(o + 20)*(8*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(-2*7\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.67085 centuries to decades.\nAnswer: 56.7085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*o + 27*o + 5768 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190*h**4 + 2*h**3 - 1618*h**2 + 12160102 wrt h?\nAnswer: -760*h**3 + 6*h**2 - 3236*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 2*u - 32749*u**3 - 32747*u**3 + 65500*u**3.\nAnswer: 4*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(6)\/(1*sqrt(75)).\nAnswer: sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-2\/7))\/((p**1*p)\/(p**(-3)\/p)) assuming p is positive.\nAnswer: p**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*o - 2 = -22, -o + 10 = 4*a. Sort 1, a, -1081, 3, 5 in descending order.\nAnswer: 5, 3, a, 1, -1081","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4035 + -61362?\nAnswer: -54324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3127*f**2 + 1573*f**2 + 1571*f**2. Let x(d) = -7*d**2. Give x(o(j)).\nAnswer: -2023*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.23 - 33.23. Which is the smallest value? (a) -0.5 (b) -3.6 (c) q (d) -2\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/33, 0.5, -5, 1\/5, -52, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132190, -264513, -396836?\nAnswer: -529159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = y. Let v be 1 + -2 + 0 + y. Suppose -a = 1 - v. What is the greatest common factor of a and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58034490857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984440717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 4)*(3*x - 5*x + 3*x)*(-2*x + 2*x - x**2 - 1) to m + i*x**2 + u*x**3 + p*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 222318760.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -48*m**2 - 1155*m + 1097. What is u(-25)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1344 and -31\/24.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/(w*w**10))**(1\/41) assuming w is positive.\nAnswer: w**(-56\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559\/2*u + 280 - 1\/2*u**2 = 0. Calculate u.\nAnswer: -1, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibbiziio. What is prob of picking 2 i?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-20) - 1)*-45. Suppose 3*v = 3 + w. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3093*t**3 - 64*t**2 - 8*t wrt t.\nAnswer: 18558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*-4 + sqrt(153) + sqrt(153)*-1*2 + sqrt(153))\/(1*sqrt(225)*4).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165*r = -2051*r - 2622 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 94 = 3*q, -q + 34 = 15*t - 13*t. Let l be -763846*q\/(-3) + (-80)\/(-60). What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 535, -3, 0.48, -0.04?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 - 18*u - 9. Let o(y) = y**2 + 1. Let j(a) = d(a) + 6*o(a). What is the remainder when 48 is divided by j(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/7*o - 72\/7 - 2\/7*o**2.\nAnswer: -2*(o - 18)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58233.1055 rounded to the nearest ten?\nAnswer: -58230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3114)\/(-1038)*(-52)\/6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 - 3*o - 3. Let z be s(4). Let f = z + -1. Solve 3*t + 0 + 15 = f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 30*o - 20. Let f be s(-20). Suppose 2*j + 7*y - 2*y = 82, 2*y = -4*j + f. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69261 is divided by 223.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 672 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269465 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3) - 5\/(-1). Let f = u - 6. Let j be (6 - (2 + f)) + -3. Solve -j*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3\/2 - 15*g**2 - 755*g\/2 + 1950 = 0. What is g?\nAnswer: -12, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20 - -21) + (-2 - -5323)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 9. Let p(f) = 2*f**2 - 2*f - 1. Let j(i) = -6*i**2 + 7*i + 4. Suppose 3*q - 7 = -5*z, -4*q + 8*q = -3*z + 2. Determine y*p(s) + z*j(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -3*c. Suppose 0 = -4*m + 3 + 1. Let y = m + c. Solve -y*p = -2*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -133?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*1 - -4) + 0. Let i = -24.2 + -24.8. Let z = i - -44. Which is the closest to -1\/4? (a) -0.3 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -160, -233, -292, -331, -344?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1206254 (base 8) to base 14\nAnswer: 88856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*p + 10 = 3*p, 4*b + 2*p - 16 = 0. Let w be -5*4\/(20\/87). Let c = w - -607\/7. What is the nearest to b in c, -4, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/10811311 and 95\/9752?\nAnswer: 86490488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwb when three letters picked without replacement from {f: 3, t: 5, w: 1, b: 2, y: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32*r**4 + 5*r**3 - 5*r**2 - 5*r - 10. Let x(i) = -i**3 + i**2 + i - 1. Let d(u) = -l(u) - 5*x(u). What is the first derivative of d(p) wrt p?\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 15*t - 10. Let b be x(16). Solve b*z = z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121917\/5 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 3. Let s = 171 - 169. Solve 0 = -4*m - 4*u + y*u + 7, m + s*u = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.31 + 106.69. Let t = -110 + q. Which is the second smallest value? (a) 5\/3 (b) 1\/6 (c) t (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -400*g - 714 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 2*x + 3. Let a be p(-2). Suppose -2*c - 20 = -a*c + 2*z, z + 5 = 0. Let l be 46\/c + 16\/(-4). What is the third smallest value in 2\/7, l, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30420*f - 48576*f + 30787*f.\nAnswer: -48209*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717264 is divided by 383.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - 4*b**2 + 127056325 + 5*b**2 - 127056323 - b - 33*b**3 to g*b**3 + c*b**2 + z + d*b + l*b**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 16. Let b(z) = z - 1. Give 4*b(s) - l(s).\nAnswer: s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 885 = 60*r - 181 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13477 (base 8) to base 13.\nAnswer: 292a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -53\/6, 3, -5, 7, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)\/sqrt(54) + (sqrt(176) - (sqrt(176) + 1) - (sqrt(44) + 1))**2 + -1)*4*-6.\nAnswer: -1128 - 232*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let d = -7 - -11. Suppose 3*k = -d - 2. Is k bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153.06 - 131.06. Which is the closest to -1? (a) 3 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1 - -1)\/(-1). Suppose m = c - 3. Suppose -16 = -7*s + c*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 386?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a, 0 = 2*r - 4*a + 5 + 3. Suppose 0 = -y - r. What is the units digit of (-2)\/(y\/21) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -198250453, -396500907, -594751361, -793001815, -991252269, -1189502723?\n\"Answer: -198250454*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*o*v + 2*b*v**2 + 5813*b + 27536075*o*v**2 - 1952*o*v wrt v.\nAnswer: 4*b + 55072150*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*l**2 - l + 39*l**4 - 9 + 36*l**2 + 29*l**4 + 48*l**3 - 48*l**3 to the form d*l + m*l**3 + a*l**4 + y + f*l**2 and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + -113?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62528268.21984 - -8?\nAnswer: -62528260.21984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 405754369327+-0.4\nAnswer: 405754369326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33375 and 423195.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 3*v - 5. Let k be d(-6). Let m = k - -13. Let c = m - -12. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2519580 and 138180?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5286 and -19\/1762?\nAnswer: 5286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 1633?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*n**3 - 90*n**3 - 20*n**3.\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5220\/((-4)\/44 + 1110\/14025). Round l to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 12*g**2 + 11*g + 12. Determine m(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 645*k + 647. Determine o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:59 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(24\/5)*u\/(u**(-2\/37)*u) assuming u is positive.\nAnswer: u**(-508\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffxqffpfpf. What is prob of sequence xq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z + 1910 - 1810 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278003, -555984, -833971, -1111970, -1389987, -1668028?\nAnswer: -1946099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57144 = -91*m + 67*m. What are the prime factors of m?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 124*o**3*x**3 - 3*o**2*x**3 - 8*o**2*x + 2*o*x**2 wrt o.\nAnswer: -60*o**2 - 744*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252) + -4)*5 + -2)**2.\nAnswer: -2640*sqrt(7) + 25684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(85) + 2*sqrt(85)))\/(-3*1*sqrt(5)*1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.77 - -8.77. Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 351663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30859178?\nAnswer: 2, 7, 1423, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(441)*-3)\/((sqrt(84)\/(sqrt(12)*-2) - sqrt(7))*6) + -3.\nAnswer: -4*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnjjjjnjcnnnnjnxjj. Give prob of sequence xc.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2. Let q(w) be the first derivative of 4 - 2\/3*w**3 + 0*w**2 + 0*w. Give q(g(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 + 88*d**2\/9 - 8738*d\/9 + 8648\/9.\nAnswer: 2*(d - 47)*(d - 1)*(d + 92)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399 is divided by 156.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*v = 3, d + 4*v = 2*d + 2. Let z(b) = b**3 - 6*b**2 + 5*b. Let n be z(5). Solve -m = -n*m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7731.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 30*a**2 + 400*a - 5000\/3.\nAnswer: 2*(a - 25)*(a - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbhhjbhqq. Give prob of picking 3 q and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q - 104. Let k be 24\/(-32)*64\/(-6). Does 5 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*u - 6, -9 = -3*d + u - 6*u. Let g(f) = 2*f + 5*f**2 - 1 - f**d - 1 + f**2. Give g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 95, 180, 289, 416, 555?\n\"Answer: -x**3 + 21*x**2 - x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*k**2 - 21*k - 240*k**2 + 21*k.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3868 + 530. What are the prime factors of u?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.9 rounded to the nearest integer?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, b: 1, d: 1, y: 1, j: 2}. What is prob of sequence jj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + z**4)*(-111 + 111 - 41*z).\nAnswer: -41*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 22068 = -5*z - 1007, 4*a = -z + 23081. List the prime factors of a.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -18 - (-6 + 3). Let u = y - 18. Suppose 2*f - 8*f = u. What is the third smallest value in 2, 1, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/325, 5, -815?\nAnswer: -2\/325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7385 = -380*j + 19165 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 173 + 183 = 0. Let r = 33 - 33.4. What is the third biggest value in -0.8, s, r?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*c - 4295 = -1215 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -96, -100, -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(-13 - 5 + 4)*(-27 + 12 + 9)*(-2*d**2 + 3*d**2 + 2*d**2) to the form x + h*d + q*d**2 and give q.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4723, -27405, -85979, -198391, -382587, -656513?\n\"Answer: -2991*y**3 - 1745*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 943879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (62\/3)\/(112\/5712) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 1474. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.163 - 7.363. Put c, 12, -0.5, 0 in ascending order.\nAnswer: -0.5, c, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 61*l**3 + 6407*l**2 + 208*l - 229. Determine p(-105).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 9268.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5722 + 5721.7. Which is the nearest to 2\/5? (a) 0 (b) -3\/5 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7747, -7722, -7699, -7678, -7659, -7642, -7627?\nAnswer: -7614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1159 from -2871748.\nAnswer: -2871747.8841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/4 - 49878*v**2 = 0 for v.\nAnswer: 0, 66504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 0 + 0)*(x - 5*x + 3*x)*(0*x**2 - 2*x**2 + 7*x**2) to the form g*x**2 + p*x + m + h*x**4 + c*x**3 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -699*z**2 - z. Let f(v) = -12*v**2. Calculate n(f(h)).\nAnswer: -100656*h**4 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**2 - 6*u + 9. Let k(w) = w**3 + 9*w**2 - 10*w + 7. Suppose -q + 45 = -5*q - y, 0 = -3*q - 3*y - 45. Let g be k(q). Is r(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let f(h) = 255 - 289 + 1195*h + 32*h**2 - 1195*h. Determine d(f(x)).\nAnswer: -32*x**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 792 divide 337061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59840 and 93115?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 18. Let f = t - -17.2. Let w = f - 5.2000118. Round w to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1577, -1573, -1569?\n\"Answer: 4*j - 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/3 + (-8)\/(-4). Let y(o) = 6*o**2 - 4. What is the remainder when y(m) is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:01 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -0*g + 2*g. Let d = -11 + g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -18.4. Let t = -2.3 + q. Suppose -103*y + 4*d - 2 = -98*y, 5*d + 2 = 4*y. Sort y, t, 3 in ascending order.\nAnswer: y, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpn when three letters picked without replacement from {v: 5, k: 2, f: 1, p: 5, n: 2, o: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let f = 5 + -4. Let k(z) = 2. Let t(j) = 7*j + 2. Let g(h) = -4*k(h) + t(h). Let i be (2 + -3)*(-5 - 0). What is f*g(o) + i*x(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 6. Suppose -423 = -3*i - 426, 77 = 3*u + i. What is the remainder when k(-4) is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803 = -335*u - 3222 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304028 and 89420?\nAnswer: 1520140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**7\/2520 - 5*v**4\/12 + 2*v. Let b(f) be the third derivative of x(f). Let a(k) = 32*k. What is b(a(y))?\nAnswer: -1024*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*g*t + 11*d**3*g + 2*d**3*t + 129825*d**3 + 449*g*t wrt g.\nAnswer: d**3*t + 11*d**3 + 449*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227725165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4733 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 194 = 142. Suppose -c*m + 27*m = 6. Suppose -4*s = 2*d - 40, s - m*d - 22 = -2. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 5 + (-44 - -38) + (-2 - -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9592385 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3704872 is divided by 36680?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(18)*-4 + sqrt(18))) + sqrt(8)\/sqrt(4)*-1.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -22 (c) -2\/5 (d) -0.3 (e) -2\/17 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(6\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + -13. Let d = q + 34.9. What is the closest to -1\/2 in 5, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1327 - 664. Calculate the common denominator of (-12)\/18 + z\/(-288) and 405\/40 - 3\/12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52669.\nAnswer: 31, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -55\/136 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22347 - 11?\nAnswer: -22358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 52. Is x <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/44)\/((-9)\/2*-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4259 - -4263. Let q be (-12)\/28 + 11\/(-7). What is the second smallest value in 0.2, n, q, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5185884 + -5185884.7000146. Let n = 0.14 + 0.56. Let j = n + o. Round j to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008027786 rounded to five dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (-7 - -1) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -2*y + 265. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/((-320)\/50)*(-56)\/10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/2, 1932?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42847544 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16\/13 + 121\/130. Let a = 5 + -7. What is the second smallest value in 0.1, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2268 and 54.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 4*i - 5. Let h(y) = 3*y**2 - 3*y - 4. Calculate -2*g(b) + 3*h(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-444)\/(-592))\/(((-2)\/(16\/(-186)))\/2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12274060 to the nearest integer?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69246 or 68798?\nAnswer: 69246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.62 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from jupurro?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8799 - -8836.37. Let a = x - -0.63. Let l = -38.000033 + a. What is l rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12654 + 683413\/54. Calculate the common denominator of r and -187\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98\/15 - -36\/5. Let m = -0.01 - 0.39. Which is the closest to j? (a) -5 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/76 - -10\/19. Suppose 3*g = -2*g + 4*g. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 73. What is d(16)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6531225 - 259455.\nAnswer: -259455.6531225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 108\/13, -0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 88*h - 10. Let m be t(-10). Let o = -6201\/7 - m. What is the common denominator of -24 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 2 (c) 3\/4 (d) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174.061 - 0.061. Let q = b - 173.999594. Round q to five decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4113143, 8226281, 12339417, 16452551, 20565683, 24678813, 28791941?\nAnswer: 32905067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18242997\/4870409 + 5838350048167157\/145990509775. Let f = -439944\/11 + q. Let h = f + -6\/109. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 * 17.\nAnswer: 8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/299961010 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-35)*l)**(-2) assuming l is positive.\nAnswer: l**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 176, 1231, 4090, 9653, 18820?\n\"Answer: 150*u**3 + 2*u**2 - u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13275*k - 106186. What is c(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 7*h - 6. Let g be k(-9). Let o = g - -25. Let f be 3*((0 - o) + 0). Let t(c) = c**3 + 2*c**2 - 2*c + 2. Determine t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a - 2. Let m be (3 - (-5)\/(-2))*2. Let n be x(m). Let b(d) = -6*d**3 - d**2 + d + 2. Is 13 a factor of b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -25. Let o be (-2 - -2) + p - -4. Solve o = g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72140533\/18 + -3998616. Let h = 13182 + -3996. Let q = h - j. Calculate the common denominator of q and -57\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 265*u - 2 + 4 + 1 - 1 to the form j*u + t*u**2 + y and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -6, 1602, 5, -5 in increasing order.\nAnswer: -6, -5, -3, 3, 5, 1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 182\/119*34\/4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.5. Let t = 0.5 + 3.3. Let h = t - 4. Sort n, 4, h.\nAnswer: n, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*y = -194, 10*f + 290 = 7*f - 5*y. What is the units digit of f\/25 - (156 + 2)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-106)\/(-10) - (22 + -17) - 9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 16) in base 8?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (735\/3)\/(-7 + 228\/32).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 66044?\nAnswer: 1\/16511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a - 24 = -82*a. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 9*v + 4. Let t(x) = -x**2 + 2*x - 1. Let i(j) = 2*p(j) + 9*t(j). Let s(f) = f**2 + 2*f - 6. Let g be s(-5). Let o = -12 + g. What is i(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzgt. Give prob of picking 1 g and 2 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85277\/11771 - -201993793\/59525947. Let v = s - -2\/389. Let h = v + 4. What is the nearest to 1 in h, -1, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*b - 2 + 82*b - 99*b - 163*b + 40*b.\nAnswer: -315*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.969 - -0.031. Let j = -21 + n. Let c = 0.3 - 0.2. What is the nearest to j in c, -2, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1318 + -1318.2827. What is v rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 257.\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -54, -116, -200, -306?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1 - 0) - 120\/(-8). Let d be 2\/3 + (-18)\/27. Suppose 28 = 2*h - 4*g, d*h - h - g = 1. Solve -h*u - 3 = -t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -50 + 30)*(2 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 89858*k\/11 + 38001624\/11.\nAnswer: -2*(k - 419)*(k + 45348)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 3. Let q be a(-13). Suppose 5*d - q = -4*x, x = 2*d + 11 - 2. What is the remainder when 62 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (3 + -1*sqrt(468)*-3 + 2)**2)*-1.\nAnswer: -16960 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 41*z**2 - 3*z + 2. Let u(a) = -2*a**2 + a - 2. Calculate n(t) + 2*u(t).\nAnswer: 37*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/853?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 65*y = -702. Put -1, 4, y in descending order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose -u = -f - 0. Suppose f*p + p = -2*c + 754, -2*p - 4*c = -362. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(468))*4)**2 + -3.\nAnswer: -6912*sqrt(13) + 270141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m - 22*m + m. Let w be ((-16)\/48)\/(1\/3). Calculate u(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:16 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-9)*(-80310)\/42832. Determine j so that 0*j + k*j**3 + 56\/3*j**2 - 4\/3*j**4 + 0 = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 17*u**2 - 16*u + 21. Let y be i(16). Let b be (y\/6)\/((-2)\/(-4)). Calculate the greatest common factor of b and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*a**2*i**2 - 2*a**2*i*s**2 + 3*a**2*i*s - 2*a**2*s - a*i*s**2 + 1443*i**2*s**2 + s wrt s?\nAnswer: -4*a**2*i - 2*a*i + 2886*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.43, 22, -3 in ascending order.\nAnswer: -4.43, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 327516.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:03 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 5*j + 11*j + j**3 + 6*j**2 + 3. Let w be k(-4). Solve -2 = -2*o, 2*n + 4*o + w = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*k - 10, -2*k = -j - 3*k. Differentiate -j + 0 + 1 - 4*b**4 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -109*l**2. Let p(g) be the second derivative of -g**5\/30 + 55*g**2\/2 + 17*g - 3. Let a(u) be the first derivative of p(u). Determine d(a(i)).\nAnswer: -436*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from hddpdddzpzddpuppdzdd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 640, -3, -2, 6 in increasing order.\nAnswer: -3, -2, 6, 640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -18 + -2 + 1 - -9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -10. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 - g. Suppose 2*r + 17 = -5*q, 3*q + q = -2*r - 16. Let a be k(r). Is ((-9)\/a)\/(3\/(-68)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-394)\/5910)\/(1\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 4*q + 8*q. Suppose -q*n + 35*n - 144 = 0. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 5*b**2 + 2*b**2)*(4*b**3 + 2*b**3 - 3*b**3) + b**5 - 2*b**5 - b**5 - 4*b**4 - b**5 + 4*b**4.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*o = 137, 2*o + 0 - 2 = 0. Let q = t + -13. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 855?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -4 - (0 - -1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3206 + 29*g + 1619 + 1628 as t + r*g and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 2 = 23. Solve 2 - w = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = q, -3*q + 2*s = -0*q. Suppose 2*v + 2*v - 12 = q, 0 = 5*z + 5*v - 95. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -492\nAnswer: 492.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:15 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, a: 2, x: 4, z: 3, g: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 (base 7) in base 3?\nAnswer: 1121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:16 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*d + 288, 4 = -5*d + 24. What is the greatest common factor of n and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcyt when four letters picked without replacement from {n: 1, t: 1, c: 4, o: 3, b: 2, y: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2926 and 805.\nAnswer: 336490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50 - 1)*57\/(-57). Suppose -5*d + r - 41 = 0. Solve 4*o = d*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10.4645 (b) -1\/10 (c) 12.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3003066 divided by 58\nAnswer: -51777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.108 - 256.992. Let a = t - -265. What is a rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 3*g - 1617 = 8*o, -o - 786 = 3*g. Which is bigger: -800 or o?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5144418 is divided by 5143956?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 2*w - 4. Let a(l) = 13*l**2 + 3*l + 2. Let d(h) = 8*h**2 + 2*h + 1. Let y(o) = 3*a(o) - 5*d(o). Determine v(u) + 3*y(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 42*g + 285. What is s(50)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6)*(-42)\/(-28). Suppose -z = a*c - 703, 0 = 15*z - 11*z - 4*c - 2832. List the prime factors of z.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06278 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 230, 250, 286, 344, 430, 550?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 2*a. Let c = 27 - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d\/(d**0*d))\/d)\/d*((d*d**(1\/6)\/d)\/d)\/d)\/(d**9\/(d*(d\/((d*d\/d**(-8))\/d))\/d)))**(-48) assuming d is positive.\nAnswer: d**952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 6.079576 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5940 divided by -1980\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000464251 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) 3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -960655 and -0.2549?\nAnswer: 960654.7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 9\/2*z**2 - 9*z + 6. Let y(u) = -36 + 106 - 13*u - 57. Give 7*b(s) + 5*y(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -25. Suppose 2*v + 3*v + 21 = o, 4*o = -4*v + 84. What is the highest common divisor of c and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 - 17*z**3 - 48*z**2 + 101*z + 498. Give t(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(33\/9)*(-20)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/30 and -35\/158.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 23, 5 in decreasing order.\nAnswer: 184, 23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 283639928.\nAnswer: 283639928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 plus -261.613?\nAnswer: -413.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1609.8 - -1609.704. What is the second smallest value in 1\/4, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-45)*m)\/m*m**(-2\/17))\/(m\/(m*m**(-18\/13))*m**48) assuming m is positive.\nAnswer: m**(-20885\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*27\/36*(-4)\/(-6). Sort -1, -9, p, 4 in decreasing order.\nAnswer: 4, -1, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17197467 to the nearest integer?\nAnswer: 4147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 34 = -3*d, 0 = 5713601*h - 5713606*h - 5*d + 10 - 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 5, w: 2}. Give prob of picking 1 f, 1 m, and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 4*p**2 + 0*p**2 - 7*p**3 + 2*p**2.\nAnswer: -7*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 12*y + 6. Determine z(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - (13 + (-104)\/(-13) + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 769\/8. Let u = 0.684 + -0.58. Let v = -0.396 - u. What is the fourth biggest value in i, -0.4, v, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 1133132201?\nAnswer: -1133132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23126321 divided by -1187.\nAnswer: 19483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4860315 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/(-3))\/(18\/(-27)) - -4. Suppose l - 40 = -5*q, l - 19 = 5*q - 59. Solve 5*m + d = 5*x, 5*m + 5*x - q + 33 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 3?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30753.61371 rounded to the nearest one hundred?\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 43 = 37. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-2 + -12) - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. What is the tens digit of (2 - -21) + i + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -132 and -131.23.\nAnswer: -263.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -j - 5*i - 43 + 23, 12*j - 4*i = j - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5391802?\nAnswer: 2, 13, 207377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**2 + 223*r + 691. Is k(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/39 - (0 - 12524\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1085 + 0.0085. Let l = 8\/121 + 122\/1815. Sort -0.3, j, l in descending order.\nAnswer: l, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908744299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 3. Let j be d(3). Suppose m + 43 = 61. Suppose -3*o = -9*o + m. Solve 3*n = 4*q + q + 26, j = -o*q - n - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*169\/(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejooojonjjjpjj. Give prob of picking 3 j and 1 n.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*g - 121 = 40*m + 486*g + 90, 5*g - 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = n. Suppose -y = y - n. Let g = 35912\/15 + -2394. What is the third smallest value in g, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 5*n - 2784 = -2*t, 2*n = t - 1400. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -61. Calculate the remainder when 37 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21 - 4 - n + 2*n + n - 16. Let q(i) = 4*i + 2. Give -5*f(k) + 3*q(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26365508249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 3437358*u - 984619168347 = 0.\nAnswer: 572893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 - 5 = 0. Calculate the least common multiple of 4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 5 + 0 - 2133*t + 2131*t)*(-1 - 31*t - 30*t + 58*t) to h + o*t**3 + s*t + u*t**2 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155448074?\nAnswer: 2, 31, 2507227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 9164*f + 10497362.\nAnswer: 2*(f + 2291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -f + 6, -6 = 3*q + 3*f - 5*f. Suppose 13*m - 3*m = -20. Calculate the least common multiple of (-14)\/q + (-2)\/m and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.3925 (c) -3\/46 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k + 30. Let s(f) = f. Determine -5*s(b) + z(b).\nAnswer: -b + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -70088.71 and 0.4.\nAnswer: -70088.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13679+-0.0669\nAnswer: 13678.9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*a - 18 = 687*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (53 - -121) - 74.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b4 (base 14) to base 7.\nAnswer: -2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*s**2 - 33*s**2 - 4 - 33*s**2 + 3*s**3 + 4*s + 134*s**2 - 36*s**2 in the form f + d*s + r*s**3 + x*s**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b446 + -3c?\nAnswer: -10b484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 - u - 2. Calculate t(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365020 is divided by 782.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:31 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -5 + -1 - -30. Suppose 4*s = -i + 247. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(392)*3)\/(sqrt(576) - (sqrt(576) + (sqrt(576) - (sqrt(576) + (sqrt(576) + -1*sqrt(576) + sqrt(576) - sqrt(576) - sqrt(576))))*6)).\nAnswer: 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k + 1. Does 22 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -292, 6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/115326 and 47\/5031?\nAnswer: 1499238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-140)*-25)\/((-35)\/84))\/((-9)\/(-1)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*u + 83*u + 44. Solve 5*y = -3*f + 10, -3*y - f + 6 = u*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8003*f = -8044*f + 179 - 1576 + 44 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-3 - -10)*3. What is the highest common factor of f and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 6. Let t(r) = 7*r - 10. Let q(g) = 6*t(g) - 10*w(g). Let a(n) = 4*n. Give q(a(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 989 - 1406. Which is bigger: -418 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/27 and -41\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 369*n - 384*n + 90. Let c(h) = 2*h**2 + 4*h. Calculate the least common multiple of c(-5) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 36 = -2*p - 4*l, -l - 3 = -p. Let k be ((-12)\/(-9))\/((-4)\/(-6)). Let s = 22 - 21. Solve 4*d - s = 5*x + p, -4*x + k*d = 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 6*g - g + q, -5*g = -2*q - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r + 13. Let b be w(-8). Let q = b + 96. Suppose -191 = -q*s - 9. What is the smallest common multiple of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/b*b\/(b\/(b\/b**2)))**40 assuming b is positive.\nAnswer: b**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -0.6, -0.03, 0, 1.2.\nAnswer: -0.6, -0.03, 0, 1.2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 + 3*q**2)*(7 - 2*q - 14 + 5).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2686, 5361, 8028, 10687, 13338, 15981?\nAnswer: 18616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 75762?\nAnswer: 378810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 6) in base 5?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 38774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 52*n\/5 + 51\/5.\nAnswer: (n + 1)*(n + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -29 + (51 - 23 - 15) + 68 + 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5487.38 and 0.17578.\nAnswer: 5487.55578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 1, n: 1}. Give prob of sequence vn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 8 + (3 - ((24 - 5) + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 83*h**3 - 24 + 0 + 125*h**3.\nAnswer: 208*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3712, 3708, 3702, 3694, 3684, 3672, 3658?\nAnswer: 3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9390 or -1445\/8?\nAnswer: -1445\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*f, 2*y - 2359864 - 1320152 = 4*f. What is y rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6876 and 39537.\nAnswer: 158148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 198*a - 17883. Calculate q(88).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67834129*0.2.\nAnswer: -13566825.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(1790\/(-2685))*62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10304045645 - 4?\nAnswer: -10304045652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 5983383.\nAnswer: 53850447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n. Let f be (-116)\/(-1073) + 8463\/777. Solve -5*s + n*s = 25, -s = 2*a + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2259 - -7553. Let b = z - 3616. What are the prime factors of b?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2813*j - 83448 = -13123 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380115, 760235, 1140367, 1520511, 1900667, 2280835?\nAnswer: 2661015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/2)\/z**(-4\/3)*(z\/(((z*z**2)\/z*z)\/z))\/z**3)\/((z\/((z\/((z**0*z*z)\/z))\/z)*z)**24\/(z*z**(-1\/3))**(-2\/157)) assuming z is positive.\nAnswer: z**(-22663\/314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 11 + 37 = 0. Is 18\/u*(-1 - 11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -1285879.\nAnswer: 38576.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84386752 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(j**5 + j**5 + 0*j**5) - 4*j**5 + j**5 + 0*j**5 + (j**2 + 7*j**4 - j**2)*(2 - 2*j - 2).\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-15) - 2\/5. Suppose u*q + 34 = -104. Let v = -2 - q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 206*s + 230. Calculate y(-102).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56634.\nAnswer: 2, 3, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*4103.9\nAnswer: 16415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*j + 200. Let o = -22 + j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -43*z**3 + 13*z**2 - 26*z + 124. Let f(d) = -10*d**3 + 3*d**2 - 6*d + 31. Give 26*f(a) - 6*t(a).\nAnswer: -2*a**3 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38328803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 11\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*d - 52 = 26*b + 425*d - 181, -1 = -4*b - 3*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -7. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54208.1 micrograms to tonnes.\nAnswer: 0.0000000542081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3729 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 + 5*w + 3. Let m = -44 + 40. Let z be y(m). Solve 3*p - z = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from mtmvmrmtkfmmfm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + l + 247 = 0, -3*l - 241 = 2*g - 0*l. Let j = g - -127. Solve 7*x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(325) + (5*sqrt(325) - sqrt(325)) + -2 - -3*sqrt(325)*-1))**2 + 0.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1118309600 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/8)*q)\/q**(1\/66))\/((q\/(q*q**40))\/q**(7\/8)) assuming q is positive.\nAnswer: q**(2771\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*r + 3*f - 14, 2*r - 2*f = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 89*m**3 + 13*m**2 - 39*m + 13. Let s(o) = -44*o**3 - 6*o**2 + 19*o - 6. Let p(l) = 13*s(l) + 6*x(l). Find the second derivative of p(n) wrt n.\nAnswer: -228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*w**5 - 2*w**2 - 133*w wrt w?\nAnswer: -3700*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2, -2 = -o - 4*z + 58. Suppose 2*f - o + 12 = -p, 0 = -3*p - 5*f + 115. Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -914, -1822, -2730, -3638, -4546?\nAnswer: -5454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(6*l - 3*l - 4*l)*(10 + 2*l**3 + 10 + 4).\nAnswer: 2*l**4 + 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(sqrt(65) - -3*2*sqrt(65)))\/(-6*sqrt(50)\/(-1*sqrt(250))).\nAnswer: 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttpv when four letters picked without replacement from pvpvppvvpvpvptptvp.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2*s**3 + s + 0*s**3)*(100052 + 17679 - 12643) to the form u*s + d*s**2 + n*s**3 + j and give n.\nAnswer: 210176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:58 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25808 (b) 3\/4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 25 = -5*s, -45*f + s + 5 = -50*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*j - 304 = 0, -49*j = -52*j. What is the highest common divisor of 9120 and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-40 - (5 - (46 - 19) - -19))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/150*21\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(-4)\/8*(-6)\/(-8). Solve -r*c = c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - c + 1, -4*o - 4*c + 1 = 5. Let u be ((-20)\/(-12))\/(2\/(-192)). Let l = 643\/4 + u. What is the smallest value in o, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(40)\/sqrt(4)*5))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.9. Sort y, -3, 0.2 in descending order.\nAnswer: 0.2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741709911?\nAnswer: 3, 23, 1153, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4470056 is divided by 14608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c - 165. Let p be x(15). Let k be (24\/20)\/((-6)\/(-20)). Suppose k*o - 15 = -o. Calculate the greatest common factor of p and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-298376.64\nAnswer: -596753.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*o + f, 4*o - 3*f + 2 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5191 and 81358543.\nAnswer: 5191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*f + 30, -4*f + 5*a - 9*a = 0. Let g(j) be the second derivative of -f*j + 0 + 27*j**2 + 9*j**3 + 3\/2*j**4 + 1\/10*j**5. Factor g(m).\nAnswer: 2*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144099*j**4 - 981869*j wrt j?\nAnswer: 1729188*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (611*u + 2244 - 4495 + 2254)*(-1 + 4 + 0) in the form y + p*u and give p.\nAnswer: 1833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyii when four letters picked without replacement from yyyyyyyyii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 193435912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-14)*231\/(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-23)\/p)**(-9) assuming p is positive.\nAnswer: p**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (104\/50)\/((-6)\/(-15)). Let u = 28\/5 - t. Let 4\/5*k + 0 + u*k**2 = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 5\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 208 = -10*v. Let w = v - -40. Suppose w*h + 2*j - 1291 = 0, -5*h + 1694 = j + 401. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/153)\/(101\/((-14241)\/188))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 1\/2 (c) -0.1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 84*u**2 + 396*u - 120. Let g(m) = 28*m**2 + 132*m - 40. Let b(c) = 8*g(c) - 3*q(c). Factor b(j).\nAnswer: -4*(j + 5)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8877.1912 to zero decimal places.\nAnswer: -8877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0989 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*-84703.\nAnswer: -6776240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 4*w + 2. Let n be m(-6). Calculate the highest common divisor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 - 7*m - 6. Let v be a(-5). Suppose 0 = n + v*n, 0 = -g - 3*n. Suppose b + 322714 + 37286 = g. What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 18. Let r be f(-9). Suppose l - 16 + r = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -1\/2*y**3 + 2*y**2 - 3 - y. Let w(p) be the first derivative of a(p). Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 100, 340, 812, 1594, 2764, 4400, 6580?\n\"Answer: 13*d**3 - d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 1. Let t(o) be the second derivative of 43*o**4\/12 - 99*o - 4. What is i(t(x))?\nAnswer: 215*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + 3026\/187. Solve -24 = 8*z + n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p + 416700 = -2*p. Is -5555 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1328.00003152 + 1328. Round a to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 8)*(0 + 0 + 6*q) + (0*q + 2*q - q)*(-3 + 7 + 2) in the form z + g*q and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 209 - 209 + 2*x**2. Let j(r) = 4*r**2 - 6*r**2 + 4*r**2 + r**2. What is o(j(l))?\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143113142 (base 5) in base 13?\nAnswer: 73a368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89694 divided by 3\nAnswer: 29898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/25)\/((-3)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*j**3*w - 124985*j**3 + j**2*w + j*w - 499*w with respect to w.\nAnswer: -25*j**3 + j**2 + j - 499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2571576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 7*v + 30 to o + m*v and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -92. Suppose -r - 2 = u, -u - j*u = -r - 20. Is 2\/2 - -10*(150 + u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 3 + 15*q + 0*q - 8*q + 2*q**2. What are the prime factors of h(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-60)\/(-35))\/((-136820)\/(-19544) - 7).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 7*s**2 - 3*s - 8. What is n(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(1400) + sqrt(14))\/(sqrt(7) + (sqrt(567) - -3*sqrt(567))))**2.\nAnswer: 90*sqrt(2)\/37 + 34387\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 22*o - 252 = 0. What is the remainder when 83 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(0 + (-6)\/(-9)). Let x = r - -6. Let n be 0 + 2 - (-1 - -1). Solve 14 = -x*m + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 346 = c, -k + 1712 = -5*c - 0*c. Let v be -8 - c\/27 - 2*2. What is the third biggest value in -38, v, 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576 divided by -8542\nAnswer: -288\/4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375*y - 107*y - 109*y - 134*y)*(4*y**3 - 3*y**3 + y**3).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*n - 23. Let z(x) = 30*x + 4. What is the units digit of z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -30, -53, -80, -111?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjezzg. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.018094 - -0.01809358737. What is z rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4580.184 years?\nAnswer: 54962.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:45 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 + g**2 + 2*g - 1. Let b be f(2). Let r = b - 9. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 3*u + 20*z + 341, -u = 4*z + 92. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {x: 5, p: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 6}. Give prob of sequence pyp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 203 = -497. Suppose 5*p = 285 + s. What are the prime factors of p?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -2. Let p be h\/8 - (-374)\/8. Let d = p - 21. What is the highest common divisor of d and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 2000862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5*v + 10*v)*(3*v - 2*v - 4*v)*(0*v + 0*v - 5*v)*(4 + 1 - 3)*(3*v - 2*v - 3*v).\nAnswer: -780*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 37\/3*h**3 + 60 + 4*h**2 + h. Let k(p) = 9*p**2 + 2*p. What is 2*d(y) - 9*k(y)?\nAnswer: -7*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246112869, 246112864, 246112855, 246112842, 246112825, 246112804, 246112779?\nAnswer: 246112750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 14. Let p be (-174)\/168 - 4\/q. Which is the smallest value? (a) -2 (b) 0.2 (c) p (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -299, -769, -1427?\n\"Answer: -94*k**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let t = j - -7. Suppose 2*m = 3*m - t. Sort m, -3, 1 in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 547888.9ml?\nAnswer: 547.8889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*m - 11, 5*m - 13*v - 42 = 43 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose k*f = 3*f - 48. Suppose 0*v - 5*v = -5. Solve -f = 3*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 157\/(-2)*4. Let u = q - 171. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 - 6*b - 24. Let u(w) = 8*w**2 + 4*w + 16. Let d(f) = -2*g(f) - 3*u(f). Let j(p) = -197*p**2 - 2. Determine j(d(m)).\nAnswer: -788*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -421238056 + -4?\nAnswer: -42123805a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1008 and 1066072?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(160\/(-24)))\/((-2)\/(-4)). What is the remainder when (a - -419) + 1\/1 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14060 = 29*p + 66*p. Calculate the highest common divisor of p and 4292.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.01. Let w = u + -2.41. Let t = 0.6 - w. What is the biggest value in t, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/102 - 2663\/714. Let i = -3051\/130 - -244\/13. What is the common denominator of t and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 40?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 767332120 rounded to the nearest one million?\nAnswer: 767000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -8, 6344 = 4*g - 3*y. What is the tens digit of -1*2\/((-14)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from duudduuubdd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218 - -137. Let x = h + 86. Suppose 2*d + 4*a = -12, a = x*d - 0*a - 14. Solve d*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*x = -19, 5*x = 9*w - 12*w + 34 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*t + 630*t - 159*t - 179*t - 146*t - 124*t.\nAnswer: -100*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -29, 1, 0.01239?\nAnswer: 0.01239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10514809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4219*22.1\nAnswer: 93239.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111313101 (base 4) in base 15?\nAnswer: 599457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*p = 22, 4*p + 3 = -3*g + p. Let y(s) = 13*s + 3*s**2 + g - 35*s + 1. What is the remainder when y(9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*k**2 + 8*k**2 - 2 - 101*k**3 + 3 + 52*k**2 to the form i*k**2 + l*k + p*k**3 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 239086503 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: List the prime factors of 1374569.\nAnswer: 7, 17, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -263 - -4*(-2)\/4. What is the common denominator of -38 and 0 - o\/(-30) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 29. Let q(o) = 3*o - 29. Let i(p) = 4*b(p) - 3*q(p). Let d be i(9). Let m(a) = -a**3 + 2*a**2 + 3*a + 2. Calculate m(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -133763071.\nAnswer: -1\/133763071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 229 = -9. Let k be 5*-2*(-1)\/z. Let m = -31\/18 - -20\/9. Which is the nearest to m? (a) 1\/3 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -50, 1 in decreasing order.\nAnswer: 27, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**4 - 94644*i**3 + 18925*i**2 + 14196*i = 0. Calculate i.\nAnswer: -3\/10, 0, 1\/2, 4732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:04 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by -65?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*m + 94 = 5946 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 3*v - 15*v + 3*v.\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21 + 9 = 2*r, -2*r + 33 = 5*p. Is 9 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)**45)**(-1) assuming w is positive.\nAnswer: w**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -67. What is the third smallest value in q, -5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Suppose 4*g - 23 = -3, 5 = 5*v - g. Suppose -2*i = 3*r, -2*r + 2 = v*i + 4. Is r > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696776 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Differentiate -2*c**3 + 4 + 2*c**3 - 3*c**4 + p*c**3 with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.698 + 0.697609. Round h to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -127 + 115 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - 4\/(-6). Sort 4, -4, v, -3 in descending order.\nAnswer: 4, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4 + 2*v - 14*v**3 - 3*v**2 - 2*v**2 + 15*v**3. Let r = 1 - -4. What is g(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109 is divided by 151?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 14. Let u be 2\/6 + (-6)\/s. Solve 2 = -z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 9)*-3*3. What is the greatest common divisor of 108 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-341775)*-2247 - 2\/(-50)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*4.2\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131.53 + 131. Let t = y - -0.5. Let w = -2.03 - t. Which is the third smallest value? (a) 3\/8 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 582219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 912154 and 6?\nAnswer: 2736462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.34, 0.5, -2\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1\/7, 1\/4, -2\/13, 2\/45?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -22. Suppose 4 = -3*r + s. Let k(v) = -2*v**2 - 51*v - 23. Let m be k(-25). Solve -m*j - r = -5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4875, 4954, 5035, 5118, 5203, 5290?\n\"Answer: b**2 + 76*b + 4798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/2 + i**2 - 3*i. Let g(v) = 10*v. What is g(t(o))?\nAnswer: 10*o**2 + 120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = 2*g. What is the units digit of 2 - ((-114)\/4 + g\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4 + 0*h - 5)*(1 - 2 + 0) + 4*h - 2*h - 7*h + 2 + 2*h - 2 + (2 - 4 + 1)*(3*h - 5*h + 0*h) + 0*h + h + h.\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2526 (base 8) in base 13?\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172\/645*18\/(-4))\/(4\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0, 5, -1879, 2 in decreasing order.\nAnswer: 28, 5, 2, 0, -1879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 23*x + 10. Let a(j) = 65*j + 30. Give 7*a(k) - 20*m(k).\nAnswer: -5*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*z = -271*z - 5*b + 90, 16 = -3*z + 2*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q - 32. Let n be p(-12). Suppose -n*z = -13*z - 3. Solve 0 = s + 4 - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-11)\/k)\/k*k*k**(-2\/5))\/((k\/k**(2\/27))\/(k*k\/(k*k**(1\/19))*k)))**(-3\/44) assuming k is positive.\nAnswer: k**(26621\/37620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*m**2\/9 - 2882*m\/9 + 11024\/3.\nAnswer: 2*(m - 13)*(13*m - 1272)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396398 is divided by 159755?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - ((-4 - -5) + -124).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from cityiay.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40635 + 40657. Solve -2*k = -2*s - 20, -6*s + s = -k + x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 666884973071\/19908 - 33498341. Let d = -3\/316 - j. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -85, -91, -99?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91399 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 729811426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3*s, 0*s = 3*s - 5*d - 7. Let b be 2*638\/24 + 10\/5. Let k = b - 55. Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/366 and 31\/5429817.\nAnswer: 662437674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10016*f + 10076*f = 180 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 1465*m + 37121. Give w(26).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8117.316 nanometers to centimeters.\nAnswer: 0.0008117316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61362964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.48 and 493.114.\nAnswer: 493.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18657 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5107 - -2.4893. Sort l, -3\/5, -5, 1, -4 in descending order.\nAnswer: l, 1, -3\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(16) + -2*sqrt(400) + sqrt(400) + -1*sqrt(576) + sqrt(576) + sqrt(576)))\/(sqrt(800) - 6*(sqrt(800) - sqrt(800)*2) - 6*2*sqrt(800)))**2.\nAnswer: 8\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-21)\/(-6). Let f be (-6*5\/(-20))\/x. Sort f, 3, -25 in descending order.\nAnswer: 3, f, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 + 3735*d**3 + 3*d**2 - 18995*d wrt d?\nAnswer: -20*d**3 + 22410*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + x + 2, 5*v - x = -0*x - 22. Let f = v + 5. Let i = f + 2. Which is bigger: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 476, 922, 1368, 1814?\n\"Answer: 446*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -36*j**3 - 41*j**2 - 6*j - 4. What is a(-4)?\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129394 - 0.5?\nAnswer: 129393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 148\/3*b**2 - 728\/9*b + 2\/9*b**4 + 338\/9 - 56\/9*b**3 = 0?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13111*p + 13117*p - 52392 = 0. Calculate the greatest common factor of p and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39213252 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1)\/12*((-220)\/165)\/((-22)\/(-27))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445832 is divided by 3581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**4*g*g)*g*g**(-4)*g*g**1*g**(-4))**38 assuming g is positive.\nAnswer: g**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(12) - -4*(sqrt(6)\/sqrt(2) + 2))**2 + ((sqrt(882) + (sqrt(882) + sqrt(882)*-2 + sqrt(882) + sqrt(882) - sqrt(882)))\/(-2*sqrt(6)*2) + -5)**2.\nAnswer: 35*sqrt(3)\/2 + 1571\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-2)\/d)\/d*d*(d\/d**3)\/d)**(4\/7)\/((d\/d**(-9))\/d**(-1\/6)*d*d\/d**(-6\/11)*d**(-7)\/d) assuming d is positive.\nAnswer: d**(-3497\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h + 1 - 1)*(3037*h**2 - 11586*h**2 - 17415*h**2 - 1649*h**2 - 3134*h**2) in the form t*h + l*h**3 + k + x*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 920 by 5.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111011100 (base 2) in base 8?\nAnswer: -3734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*x)*(2 - 2 + x) + (-7*x + 16*x - 4*x)*(-x - x + 0*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 255, 24, -111.\nAnswer: -111, 2, 4, 5, 24, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h + 3. Let y be x(3). Suppose 0 = 3*a - 2*g + 84, -8*g + 3*g = -y*a - 84. Suppose 0 = -19*b + 277 - 828. Is a greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 34*t + 139. Let v be s(-11). Suppose -v*a - 2*a = 2*a. Put 1\/7, a, 0.4, -4 in decreasing order.\nAnswer: 0.4, 1\/7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 18\/(-4))*0. Suppose s = -d + 2*d. Solve d = w + o - 1, 13 = -2*w - 0*w + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 38, -1274, -107 in ascending order.\nAnswer: -1274, -107, -4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Suppose -8 = h*j - 20. Find c such that -2*c**j + 2*c + 2*c**2 - 2*c**3 + 0*c**4 + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 8723106?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h*h**0)*h)**(-2\/37))**14\/((h*h*h\/(h**(-1\/3)\/h))**(-28)\/(h\/((h*(h**(-1\/4)\/h)\/h)\/h))**(-28)) assuming h is positive.\nAnswer: h**(3115\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 13, g: 1}. What is prob of picking 2 i and 1 g?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-972)\/63)\/(2\/(-14)). Calculate the highest common factor of z and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.253131 to two decimal places.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16 - (-130)\/400?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2595094684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3363*o - 2919. Let z(k) = 482*k + 417. Let b(i) = 2*w(i) + 15*z(i). What is the first derivative of b(g) wrt g?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 2176284.\nAnswer: 21762840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/492 and 113\/44229096?\nAnswer: 1813392936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d + 40*d + 23*d - 1071 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(2*sqrt(304) + -5 + (sqrt(304) - (sqrt(304) + 2*sqrt(304))*-1) + (-4 + sqrt(304) + sqrt(304) + -2 + sqrt(304) - (-2 + sqrt(304))*-4)))**2.\nAnswer: -18096*sqrt(19) + 465748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 31, -5, 4 in decreasing order.\nAnswer: 31, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.949825 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 - 16*m + 3. Determine h(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 372 = -1364. Solve y = t - 27 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6170, -24887, -56150, -99965, -156338, -225275?\n\"Answer: -l**3 - 6267*l**2 + 91*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**4 + 2556197*o**3*t - 89281312*t wrt o?\nAnswer: -8*o**3 + 7668591*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 7*b**2 - 9*b + 3. Give t(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -125. Let z = 4 + r. Sort 18, -4, z in increasing order.\nAnswer: -4, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87080727?\nAnswer: 3, 29026909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 13*x + 3 - x**2 - 2*x + 32*x in the form m*x**2 + f*x + r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000211279 to six decimal places.\nAnswer: 0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*u = 505*u + 2379*u - 4265 - 12037 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-3 + (18 - 7) - 2 - 6 - -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 952.0431 micrograms to kilograms.\nAnswer: 0.0000009520431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 6*g + 3*p = 15, 4*g - p - 5 = 0. Let q(y) = y**2 + 1120*y - y**3 - 1121*y + 6 + 4*y**g. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.2 (c) 3779 (d) 0.3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2589, -10 in decreasing order.\nAnswer: -5, -10, -2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -188. Let y = g + 194.5. Sort -1\/3, -1\/6, y.\nAnswer: y, -1\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b39 (base 12) to base 15\nAnswer: 27e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 136, 205, 292, 403, 544?\n\"Answer: i**3 + 50*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + f - 2*f)*(1 - 2 + 0) + 39*f + 70*f + 15*f)*(-4*f**3 + 2*f**3 + 4*f**3).\nAnswer: 252*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10000?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/15))**(-15)*a**1\/(a*a**0*a) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**4 + 96*w**3 + 82*w**2 + 2*w?\nAnswer: -72*w + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r**3 - 18*r**3 - 4*r**3)*(3*r - r + 2*r) + (3*r**4 - 2*r**4 + r**4)*(-12 - 10 + 10) as h*r**3 + s*r**2 + g + f*r**4 + p*r and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((-19)\/57)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 8*f - 4. Suppose -5*t = 2*v - 50, 5*t = 2*t. Suppose 2*i = -3*i + v. Is r(i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdccdccddddudzdduu. What is prob of picking 3 u?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*y = -4, 2*t + t - 4*y + 22 = 0. Let v be 2*t\/8*-2. Let h = -0.1 - 0.4. Which is the biggest value? (a) v (b) h (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-2 + (-76)\/(-12)). Let j = 1.2 + -1.27. Let h = 0.57 + j. What is the smallest value in v, h, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27531 and 966?\nAnswer: 55062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 1 j when three letters picked without replacement from zjzjzzmxjzgzxmgzz?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 2, m: 1, b: 2, r: 2}. Give prob of sequence rmr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1428\/14*-7*9\/567\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 3976?\nAnswer: 27832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -10, -1\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + m = -2457, z = -5*m + 184 + 425. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c**2 - 1. Suppose -2 + 6 = 2*h. Let n = -1 + h. Let w(y) = -y**3 - 3*y**2 + 3. Let l(j) = 233*j + 3964. Let o be l(-17). Give n*w(i) + o*a(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401323561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 414*j + 1665. What is p(4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -38 - 2*q - 3*q - 11*q + q**2 - 17*q. List the prime factors of w(-21).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15364*w**5 - 16*w**2 - 72*w. Let p(i) = 7679*i**5 - 7*i**2 - 36*i. Let j(m) = 6*b(m) - 11*p(m). Find the third derivative of j(y) wrt y.\nAnswer: 462900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-7 - 15 - 19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -54. Let b = -12 - r. Suppose 2*o + b*i = 19, 5*i + 0 - 17 = 4*o. Calculate the highest common factor of o and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-6*n**2 - 4*n**2 + 9*n**2) - 2*n**2 - 3*n + 6*n**2 + n + (-5*n + 2*n - 3*n)*(-6 + 2 + 3)*(0*n + n - 3*n).\nAnswer: -5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/1)\/((-25)\/((-350)\/(-1))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let o(i) = 85*i**2 + 25*i. Let z(a) = 7*a**2 + 2*a. Let l be (31 - 5) + 2\/(-1). Let b = 26 - l. Let s(j) = b*o(j) - 25*z(j). What is s(d(u))?\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-515)\/(-25) - 3) + (-228)\/12.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -707 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t - 3. Let q(j) = 64*j + 13. Determine -9*l(i) - 2*q(i).\nAnswer: 16*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/1123)\/((-110)\/15). Let a = 1307\/3866489 + h. Let m = 272029\/55088 - a. What is the common denominator of m and -121\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdp when three letters picked without replacement from {j: 6, d: 7, p: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55313705089147.7999956 + -55313714382937. Let c = o + 9293791. Let y = c - 1.8. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 878132261 - -75\nAnswer: 878132336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 + p**5\/12 - p**4\/4 + 2*p**2. Let b be h(-5). What is the greatest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 186*k**2 + 10*k - 11. Let j be r(1). Let y = j + -132. What is the remainder when 259 is divided by y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 60 = -2*c. Let r(p) = p**2 - 7*p. Let w be r(5). What is the units digit of w\/c*(-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1408474058 to the nearest integer?\nAnswer: 37530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1}. What is prob of sequence qc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 - 171636*c**2 + 858096*c - 686464 = 0.\nAnswer: 1, 4, 42904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13*b = 0. Suppose b = 5*p + 5*p - 20. What is the least common multiple of p and (-7 + 6)*-1*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*f + 364, f - 2*f = -5. Let v be (-2)\/3 + m\/6. Let b = 33 + v. What is the highest common divisor of 121 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81.51 in -2, -0.5, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147395 + 1766963\/12. Let v = p + 157. Calculate the common denominator of v and -77\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/5*(330000\/(-462))\/(-50)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*i**3 + 428*i + 103274 wrt i.\nAnswer: 135*i**2 + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5332*m + 12451*m + 26935*m - 2860*m + 23786*m.\nAnswer: 54980*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -2)*1 - 0. Let u(d) = g*d - d + d. Let p(b) = b + b - b - 5*b + b. Give 7*p(z) + 6*u(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 + m + 147 + 301 + 425 + 0 + 0 - 2*m + (0*m - m - m)*(1 + 1 + 0) + 2*m - 3*m + 3*m.\nAnswer: -3*m + 841","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - 0)*3\/(-3). Let y = k + 13. Let m be (-27000)\/3 + y\/(-3). Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 2, -1, 36692.\nAnswer: -5, -4, -1, 1, 2, 36692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(16*x**2 + 34 - 34).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06324*-0.3.\nAnswer: -0.018972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*x - 53*x + 255*x)*(x**2 - 3*x**2 + x**2) + 4*x - 4*x + x**3.\nAnswer: -244*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -425, -384, -323, -236, -117, 40?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the remainder when 121 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/3 - 2*v**2 + v. What are the prime factors of j(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q**2 - 1 + 10 - q**3 - 3*q - 8*q. Suppose 1835 + 289 = -177*i. Give w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 3 - 51*h**2 + 52*h**2 + 1 as b + y*h**3 + n*h + f*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9489*u - 5001*u - 4557*u.\nAnswer: -69*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006862713 to 5 dps.\nAnswer: 0.00686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 8*y - 4. Let s = 19 - 4. Suppose -z + 0*z - s = -5*d, -3*z - 3*d - 9 = 0. What is the units digit of o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 3. Suppose -4 + 9 = y*x, -13 = a + 2*x. What is the units digit of a\/(-9) - (-3)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.11 and -0.46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.6, -1\/657, -2\/7, 2\/23?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - q - 24*q - 15*q**2 + 1351*q**3 - 2*q.\nAnswer: 1351*q**3 - q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {r: 7, a: 3, p: 2, m: 8}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3346 is divided by 52.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 36. Suppose -k = 5*l - 2*l. Let z be (-112)\/(-24)*(-18)\/l. Solve -5*a + 18 = 3*q - 2*a, -2*a = 5*q - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4908 - 44170\/9. Which is the nearest to 0.2? (a) 6 (b) -1.6 (c) o (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -551\/15 - -112\/3. What is the smallest value in -1, 5, l, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 10*k - 23 = 15*k + 11, -3*k = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u - 3*u)*((2 - 7 + 2)*(2 + 2 - 2) + (1 - 1 - 1)*(0 - 2 + 1)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:41 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2255 - 275 = -5*w + 4*v, 4*w - 2055 = -3*v. Suppose 11*j - w = j. What is the remainder when 144 is divided by j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*a - 57*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 13*m**2 + 4*m - 55. Calculate u(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-8))\/((-7050)\/(-940))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.59 and 1.19.\nAnswer: -0.7021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/117546 and 1\/143.\nAnswer: 117546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267095471.\nAnswer: 267095471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6639*v - 1639*v - 1621*v - 1675*v - 1615*v.\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4085 - -4062.35. Round n to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -65. Put 0.3, -3, j in ascending order.\nAnswer: -3, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/347358 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2548*a**4 + 1103*a?\nAnswer: 30576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Suppose 5*r - 30 = b, 5*r + 0*b - 4*b = 30. Let s = -6 + r. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6466*c + 627200. Calculate g(-97).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -462*f**2*m**3 - 10*f**2*m**2 + 10*f**2*m wrt m.\nAnswer: -2772*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 133 + 276 - 143.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/10598851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (285\/9)\/((-4)\/(-12) + 0). Let f be -4 + c\/21 - 4\/6. Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*6\/10 - 1217122\/(-155) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f*f**(1\/19)))\/f*f**(-15)\/f*f*f*(f\/(f*f\/(f*f**(18\/11)*f)))\/f*f**(3\/16)\/f assuming f is positive.\nAnswer: f**(-44237\/3344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -5 (b) 3 (c) 214 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*c + 382*c = 66. Calculate the remainder when c*115*(-1 + (-39)\/(-45)) is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(637) + 1 - sqrt(637) - (1 + sqrt(1573))**2).\nAnswer: 66*sqrt(13) + 4719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9558*d**3*z**3 - 2*d**2*z**3 + d*z**3 - 10907*d*z - 2*d wrt d?\nAnswer: 57348*d*z**3 - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-3) + -2)*(-855)\/3. Solve w = -42*g - 73 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 21*o - 1222. Suppose 22 = -6*x + o. Solve -c + x = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15457 - 8546. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 5. Let y be (-19)\/(-7) - (-12)\/q. Which is the biggest value? (a) y (b) -0.1 (c) 6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -823, -1558, -2755, -4414, -6535, -9118?\n\"Answer: -231*f**2 - 42*f - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y**2 - 9*y - 8. Let h(z) = 10*z**2 - 5*z - 4. Calculate 5*h(t) - 3*k(t).\nAnswer: -13*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 6:17 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6038.926 * 1\nAnswer: -6038.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*(w**5*w)\/w)))\/(w*w**0*w)*(w\/(w*w**(-4)))\/(w\/(w*w**6)))\/((w**(-1))**(-19))**(-31\/5) assuming w is positive.\nAnswer: w**(659\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylryytlvyvyyyv. What is prob of picking 1 l and 2 v?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71\/693 + -5\/63. Suppose 8 = 3*q - q. Let g be (q\/14)\/(16\/28). Which is the closest to g? (a) w (b) -3\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.03. Let t = a + -0.03. Sort 1\/2, -2\/3, t.\nAnswer: -2\/3, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.92061972 to 0 dps.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**0*s))**(-8\/5)\/((s\/s**(-12))\/s**(-13)) assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92910827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((sqrt(33)\/sqrt(12))**2 - sqrt(11)).\nAnswer: -4*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -371\/768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 + 377 = 4*n. Calculate the common denominator of 147\/30 - (-486)\/108 and (-8)\/(-4) + n\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.24 (b) 1\/2 (c) 10 (d) 1\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16052 divided by -4013.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 23*m**2 - 4*m - 31. Is i(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 17*g + 22. Let i be a(18). Suppose 4*l - l = -5*t + 29, i*t - 2*l - 10 = 0. Calculate the remainder when 97 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/74086929 and -41\/2082.\nAnswer: 148173858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/2 + f**2\/2 + 129*f\/2 + 351\/2 = 0. Calculate f.\nAnswer: -9, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-12))\/n*n)\/n)\/n*n\/((n\/(n**27\/n))\/n) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 3*l. Let f be y(4). Let j(s) = -7*s**3 - 2*s**2 - s. Let d = -5 - -4. Let t be j(d). Solve -t*z + 3*z + 2*n + 3 = 0, -f*z = -5*n + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662021 divided by 1?\nAnswer: 9662021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 31. Suppose u*j = 5*d + 48 + 42, j - 18 = -d. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -21 + -70 + -1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -793, -271, 253, 779, 1307, 1837?\n\"Answer: b**2 + 519*b - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8374995.\nAnswer: 3, 5, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:49 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 18940.\nAnswer: 94700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 305461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.45, -42, 2, -0.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1740106 and -1018090.9.\nAnswer: 722015.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*k - 378. Let z = k - 385\/3. Is -1 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4479 - -54?\nAnswer: 4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.5. Let u = -193\/8 + -1441\/24. Let v = u - -84. Put 0.3, v, a in descending order.\nAnswer: a, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*f = 161, -j + 3*f + 20 + 127 = 0. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3401?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10362*u - 10676*u = 7536 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = v - 5*o, -5*o + 0 = 4*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g + g - 7*g**3 - 5*g**3 + 2*g**3 wrt g.\nAnswer: -60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9611432?\nAnswer: 2, 487, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 96*m - 91*m)*(-2*m**2 + 90*m - 90*m)*(m - 2*m + 4*m) to h*m**3 + o*m**2 + v*m**4 + c + d*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 31 = -5*a, 5*s = -a - 422 + 445. Solve u = -4*l + 2, 2*u - 4 = s*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -5*r**8\/168 - 11*r**5\/12 - 4*r**2 - 2*r. What is the third derivative of w(t) wrt t?\nAnswer: -600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22515426559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60869917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 2254694. Let l be g(0). Let c = l + -274694. What is c rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 27. Solve 3*a + 0 = -v*m + 7, 3*a = m + 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 73, -5.\nAnswer: -5, -2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104880393?\nAnswer: 3, 67, 57977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, -2, -37, -96, -185, -310, -477?\n\"Answer: -f**3 - 3*f**2 - f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2443142333 - -2?\nAnswer: -2443142331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {n: 2, k: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 2*k + 13. Let r be g(9). Suppose -d + 5*d = r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 405 (b) -9 (c) -3\/17 (d) -0.3 (e) 0.1 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-70 + y + 86 - 3*y).\nAnswer: 2*y - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58156640 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -176. Let z = 84 + k. What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -5*b**7\/21 + b**6\/40 - 11*b**5\/30 + 5*b**3\/6 - 934*b**2. What is the third derivative of l(y) wrt y?\nAnswer: -1200*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154242 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 213\/(-6). Let z = 141\/4 - n. Let -z - 1\/4*b**4 - 1\/4*b + 1\/2*b**2 - 1\/4*b**5 + 1\/2*b**3 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365 - 89. Let m(k) = 29*k**2 + 4*k. What is the remainder when m(-3) is divided by (44\/6 - -1)\/(46\/s)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 39*q**2 + 52*q - 101. Let k be t(2). Solve 157*g = k*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2047)\/92 - (-62)\/(-248)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7275288 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/20, -1, -0.07?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 43. Suppose -2*v - r = -5*u, -5*v - 5 = -0. Let w(z) = 56*z. Does 10 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -30 - 60. Let l be 1\/(((-21)\/p)\/7). Let z be 10\/3 + 2\/l. Solve -1 = -3*v - 2*x, -14 = -3*v + 2*x + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 3*f + 87. Let b = f + 82. Suppose 4*h - 266 = -3*v - 49, b*v + 5 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4351291089 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.612 times -2.158?\nAnswer: -66.060696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from memmemmqamcmmmmm.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4634 - -5.866.\nAnswer: 4639.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Three letters picked without replacement from jjjmy. Give prob of sequence yjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4001800 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096909 is divided by 4096694.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252912.\nAnswer: 2, 3, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.809 + -0.809. What is the nearest to 0.2 in 0.1, m, 3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.5, -2\/5, -1, -4, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*h - 4 - 6 = 0, -2*h = -c. Suppose 5*m = 31 - 6. Sort c, m, 8 in decreasing order.\nAnswer: 8, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 79. Calculate the highest common divisor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 25*h**8\/4032 + 5*h**7\/252 + h**6\/36 - h**5\/20 + 15*h**2. Let a(y) be the third derivative of l(y). Factor a(x).\nAnswer: 5*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1297 = 11*m - 1552. Suppose 0 = 6*t - 5*t + m. Let v = t - -397. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 52*p**6\/3 - 2*p**5\/5 + 146*p**3\/3 + 122. What is the third derivative of v(t) wrt t?\nAnswer: 6240*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1391985 and -74\/4137.\nAnswer: 274221045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -548 + 590. Suppose -2*h + b = -1204. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/((-30)\/5) + -35474 - 2. Round v to the nearest one hundred.\nAnswer: -35500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. What is the remainder when 5 is divided by (-7)\/(-7) + (u - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/43102 and -61\/14.\nAnswer: 301714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (-33 - -37).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12376175 (base 8) to base 7\nAnswer: 32250124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -16971484 - 46748516. What is k rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 16*j**2 - 4. Let n(f) = -f**3 - 6*f**2 - 3*f - 2. Let x be n(-6). Let h be c(x). Is h <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12449\/20 + -490463\/788. Find the common denominator of -103\/10 and z.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*x - 291 - 1023 = 0, 2*c + x = 1308. Let l = c - 315. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 - 2*k - 3. Let t be v(-2). Let c be 3 + (-2 - -2 - t). Solve c*z - 12 = 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)*b\/(b**(1\/19)*b)*(b**(-2\/13)\/b)\/(b\/b**(-2\/23)) assuming b is positive.\nAnswer: b**(-53783\/28405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 0, -4 + 0 = 2*z + 5*b. Find the common denominator of -63\/16 and (-3285)\/(-420)*4\/(-6) - z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.8\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:05 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prv when three letters picked without replacement from {v: 3, u: 2, y: 1, p: 1, r: 4, d: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 + 2*z**3 - 8790*z + 2922*z + 2919*z + 2949*z.\nAnswer: 2*z**3 + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 + (-95 - 70) - (-1 + 3 + 7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6883 = -3*n, 42*r = 37*r + n + 17214. Calculate the highest common factor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 168 - 1348 = -67 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/19))*b*b**(2\/9)*b)\/((b*b**(-1\/3)\/b)\/((b\/b**(4\/9))\/b)) assuming b is positive.\nAnswer: b**(379\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -296*((-2 - 2) + -6). Suppose -8*y = -24*y + l. Calculate the highest common divisor of 37 and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.02, 977.2, -1\/10, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (71*i**4 - 80741*i + 80741*i - 8*i**2)*(0 + 1 + 0) + 2*i**4 - 6*i**4 + 2*i**4 + (-3 + 3 + i**2)*(-3*i**2 - 2*i**2 + 3*i**2) - 3*i**4 + 3*i**4 - 2*i**4.\nAnswer: 65*i**4 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghcc when four letters picked without replacement from {m: 2, g: 1, a: 3, h: 1, j: 10, c: 2}?\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuz when three letters picked without replacement from {u: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 112*k**2 - 665*k - 31413. Calculate o(-57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -130. Put -1\/6, 3\/4, n in ascending order.\nAnswer: n, -1\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 116, 123, 132, 143, 156, 171?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2350 and 7450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 92298 = 2*w - 93344, -5*x = -4*w - 232046. Is 85 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/24 - (-6)\/9. Suppose l*u + g - 403 = 0, 0 = g - 4. What are the prime factors of u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 505 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -83 - (4 + -4 - 4). Let p = a - -113. Suppose 3*m + 3*b - 57 = 0, -m = 5*b - p - 5. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 4, -0.046, 0.3, 21, -10, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -2*t - w*t = -4*q - 20, 2*q + 6 = t. Find the third derivative of 4*n**4 + 6*n**2 - 3*n**t + 2*n**4 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5535 = -5823247*p + 5822878*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -283, -279, -275, -271, -267?\n\"Answer: 4*v - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - 2*z + 2. Let m be o(3). Let p be m\/(-6)*(-18)\/12. Let d(s) = s**2 - 8*s + 8. What are the prime factors of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 t when three letters picked without replacement from aaaytatssasa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrrronnrnrnnnrorno. Give prob of sequence ooo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:58 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.9 - 15. Sort v, -0.4, -14, 0.4 in decreasing order.\nAnswer: 0.4, v, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 2*d + 2. Suppose 3*j - x - 8 - 11 = 0, -33 = -5*j + 2*x. Suppose -j - 5 = 5*v - 5*a, 2*a = 5*v - 2. Is b(v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-42)*(-3)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/7 (b) -1\/3 (c) 5596\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3\/2, 2\/5, -3, -0.1, 4.6 in descending order.\nAnswer: 4.6, 2\/5, 0.03, -0.1, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 96579875 rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172294463?\nAnswer: 11, 15663133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 30, 33, 18, -21?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100111 + -11100?\nAnswer: 1011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -513859241 - -0.1?\nAnswer: -513859240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 1\/10*j**5 - 1\/40*j**6 + 3*j**2 + 0 + 1\/8*j**4 + 0*j - 1\/4*j**3 - 3\/140*j**7. Find o such that f(o) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203234\/22835 + 1\/9134. What is the common denominator of -23\/50 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145300 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 + -0.05.\nAnswer: -99.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.9. What is the nearest to z in 3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -101, -93, -81?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4583\/7 + -422231\/644. Find the common denominator of f and -37\/18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142.32 - -139.32. Which is the closest to 0? (a) 0.15 (b) 67 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1232, -1, 7, -1\/4 in descending order.\nAnswer: 1232, 7, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 129770 bigger than 129821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*y**3 - 81*y + 81*y)*(2*y - 1 + 1 + 6) to z + w*y + t*y**3 + k*y**2 + a*y**4 and give t.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 61 - 60)*(-3*y**4 + y**4 + y**4).\nAnswer: -73*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 2745315?\nAnswer: 2745315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-13))\/33*-143.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217\/55 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*j**2 + 8*j**2 - 6 + 11*j**2 + (2 + j - 2)*(0 + 0 - j).\nAnswer: -3*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123847, -247693, -371503, -495271, -618991, -742657, -866263?\nAnswer: -989803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38939940 divided by 270?\nAnswer: -144222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4100*v**2 + 2*v + 0*v + v - 3*v.\nAnswer: 4100*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u - 10 = 0. Let w(l) be the second derivative of -l**4\/12 - 7*l**3\/6 - 3*l**2 + l. List the prime factors of w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3926*c**2 + 25*c. Let q(s) = -3927*s**2 - 20*s. What is -5*q(w) - 4*u(w)?\nAnswer: 3931*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-1\/13)*c)\/c*c)\/c*c**8*c)\/(c**(-2)*c*c)**11)**11 assuming c is positive.\nAnswer: c**(1419\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 6. Let y be l(-6). Let s(h) = h**2 + 5*h - 4. Let n be s(y). What is the third derivative of m**4 + 4 - 4 + 2*m**n wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011101111110 (base 2) to base 13\nAnswer: -843b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**2 + 0*y**7 + 0*y**6 - 1\/20*y**5 + 0 + 0*y + 0*y**3 - 1\/336*y**8 + 0*y**4. Find the third derivative of f(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 5. Let p(o) = 16*o - 24. Let g(j) = -2*p(j) - 11*u(j). Let x(d) = d**3 - 4*d**2 + d + 1. Let m be x(4). Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 129.6 (c) -7 (d) 2\/103 (e) -2\/11 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4272806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101556, 203109, 304662, 406215?\n\"Answer: 101553*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 389 = -326. Is x - (1 - -3 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 556*o**2 + 6*o - 23.\nAnswer: 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/4)\/(5\/5))\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 12 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 + 4.362. Let y = 0.099 + k. What is y rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 1ab?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a factor of 504610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 - 259*s**2 - 89*s + 518. Calculate f(65).\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -36. Let u(r) = r**2 - 9*r - 13. Let z be u(t). Which is the nearest to -2\/3? (a) z (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204 + -123. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4176 and 7\/12528.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 12*i**2 - 2*i**2 + i**2 + 6*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 4*o - 1. Calculate l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t**3 + 2*t**2 + 12*t - 24. Let m(f) = -17*f**3 - f**2 - 11*f + 21. Calculate -8*m(k) - 7*r(k).\nAnswer: 10*k**3 - 6*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006260217 rounded to five dps?\nAnswer: -0.00626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 5\/4, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 >= 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223164*s*x**3 + s*x**2 + 29*s - 10*x**3 - 2*x**2 + 4043*x wrt x?\nAnswer: -1338984*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**33)\/(c**(-10)\/c*c))\/(c**(-1\/16)*c)**31)**(9\/2) assuming c is positive.\nAnswer: c**(2151\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**4 - 313*o + 313*o + (-1 - 3*o + 1)*(2 - 2 + 2*o**3) + 3*o**4 - 4*o**4 + 2*o**4 - 2*o**2 + o**4 + 2*o**2.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfkkkkkffkff. What is prob of sequence fk?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 45*1850\nAnswer: 83250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.015.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086297283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89704186?\nAnswer: 2, 11, 13, 23, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 25130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89 + -5?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 35531?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448433 and 4982.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2080680 by 420.\nAnswer: 4954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1683*z. Let x(v) = v**2. Give x(m(t)).\nAnswer: 2832489*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45771521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36781489751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (1 - 4)) + (12 - (-5 + -9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2848 plus -0.4?\nAnswer: -2848.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-14) - 770\/245.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 7*q - 3*m - 3, 3*q = -m + 15. Solve b - 2 = -5*r, r - 4*b - 9 = q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*b + 40, -3*b = -h + 7 + 31. Suppose 4*a = 2*m - h, 5*m - 5*a - 65 = -2*a. Solve -4*l - s + m = 0, -4*l + 4*s = -s - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 14, y: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2346 and -73\/6074916.\nAnswer: 139723068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.02 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 484 = 2*t. Let x = t + -292. Let y(m) = -4*m**2 - m + 4. Let c(p) = -9*p**2 - p + 9. Let d(r) = -2*c(r) + 5*y(r). Determine d(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 11 = 5*r, -5*r + 79 = 3503*z - 3531*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3703464g to kilograms.\nAnswer: 0.0003703464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*g)*(1126 - 6*g - 1126).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1494 = -9*l + 5022. Let v = 979 - l. Calculate the remainder when v is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*v + 1132340 = -2363520, -4*a + 2*v + 3495824 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*p**4 + 384 + 268*p + 33*p**4 + 104*p + 6*p**3 - 204 + 201*p**2.\nAnswer: -3*(p - 10)*(p + 1)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 84. Let n be a(0). Let h = n - -118. What is the greatest common divisor of 85 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 200926 + 133512 = 0. Calculate the greatest common factor of 91 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g + 1. Let r be a(3). Suppose -2*j + 75 = 5*w - 45, 5*w + r*j - 130 = 0. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 151384549, 302769096, 454153643, 605538190, 756922737?\n\"Answer: 151384547*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223885 is divided by 3611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -266, -271, -286, -317, -370, -451, -566, -721?\n\"Answer: -z**3 + z**2 - z - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*h. Suppose 6*w = -2*w - 40. Is (-1433)\/w - h\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 2*l = -6*z - 50, -9*z - 8*l - 2 = -7*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302175 is divided by 458?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k**2 - 5*k + 2. What is l(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-9)\/(-12)) - -7. Suppose 2*q - 5 = -3*w, k*q - 5 = 5*w - 26. Does 33 divide 99\/q*2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-10))\/((-702)\/(-30)))\/((-4)\/(-8))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3\/3 - 5*d**2 - 4*d - 1. Let p(c) = -c**2 + 6*c - 2. Let i be p(7). Is 2 a factor of n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*d + 26 = 2*r, -5*r + 2*d = -80. Suppose r = 3*w - 2*s, 3*s - 6*s - 1 = 2*w. Let v be 3\/(-12) - (-33)\/w. Solve -2*u + 6*u = -v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0 - (11 - 2)) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from -1028115779.\nAnswer: -1028115778.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10433*n - 2331. Let u(d) = -13911*d + 3100. Let f(p) = 13*r(p) + 10*u(p). Differentiate f(l) with respect to l.\nAnswer: -3481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 6 (b) 0.1 (c) 0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 4494574.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -6, -18\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6288764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58606187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2689a6 (base 11) to base 13\nAnswer: 119cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(2733\/2718 - 1). Let g = i - -730. Calculate the common denominator of g and 43\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8769 - -439. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*v - 4283 - 8485 = 0. What is the greatest common factor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*t + 63. What is the common denominator of -15\/37 and 2*5\/t - 105\/(-8)?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 4, x: 2}. What is prob of sequence xv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njjn when four letters picked without replacement from {r: 1, t: 1, j: 4, n: 2, k: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1269, -2278, -3287, -4296?\n\"Answer: -1009*n - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 2*m, 0 = -5*c + 6*m - 4*m + 17. Suppose 0 = c*f - 3*u + u - 163, -5*u = -5*f + 175. Let g = 104 - f. What are the prime factors of g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 723 + -685. Let b be (-20)\/(-4) - x\/8. Sort -2, b, -29.\nAnswer: -29, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*i**2 - 12*i**3 - 168*i**2)*(-9*i + 9*i + 11*i**2).\nAnswer: -132*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 44*k**2 + 60*k + 68. What are the prime factors of b(20)?\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16028, 12336, 40698, 69058, 97416?\n\"Answer: -g**2 + 28367*g - 44394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130194009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 289405.3 centuries?\nAnswer: 2894053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57964 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -917283071.\nAnswer: -917283069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72 + (-4)\/(-2) + 2. Suppose 0*v + 4*v + m = 0. Let o = v - -29. Calculate the highest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 20 = 2*v, 4*v = 2*l + 64. Is 21 a factor of (-10 - 0)*l\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3696478 by 60598.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 8 = n + 15, -a + 24*n - 37 = 26*n - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 103, 153, 201?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3367*q**2 - 12 - 3371*q**2 - 3368*q**2 + 10073*q**2.\nAnswer: -33*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 + 5*q. Let w(i) be the third derivative of i**6\/360 - 89*i**3\/6 + i**2 - 6. Let r(t) be the first derivative of w(t). What is f(r(s))?\nAnswer: -11*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n + 418. Let u be v(0). Suppose 4*h - 2*r - 331 = -r, 5*h = -3*r + u. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(-6) + 1 + 4. Let k(o) = o**3 + o. Let c(n) = -n**3 + 2*n**2 - 2*n. Calculate q*k(g) - c(g).\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 155497 and 155448 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 49092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 10\/(-9 + 4). Suppose h - 9 = t. Factor 10*l - 10*l + t*l**3 + 3*l**2 - 1.\nAnswer: (l + 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559010 is divided by 79?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d**2 + 2*d**2 - d**2 + (d + 0*d - 3*d)*(2*d + 2*d - 2*d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95242 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.01 - 0.01. Let y = -23 + m. Let v = -374.4 + 385.4. Which is the smallest value? (a) 0.3 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-3))))\/(c*c*c**2))**(-6\/7) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 2*x**3 + 8*x**2 + 5*x**2 - 17*x**2 + 5101.\nAnswer: 2*x**3 + 2*x**2 + 5101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -5*i. Let d(o) = -o + 46*o**2 + i*o - 6*o + 1 + 3*o. What is the units digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-7 + 19 - (10 - (5 - 1)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 234\/1495*(-4416)\/(-576). Factor 318\/5 - m*a**2 + 312\/5*a.\nAnswer: -6*(a - 53)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 260900.2319.\nAnswer: 260900.6319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/219168 and 77\/576.\nAnswer: 438336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 80223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5966069 and 206?\nAnswer: 11932138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)\/(26\/(-39)). Let i(g) = -g. Suppose -j = -5*a - 1, 0 = -5*a - 0*j + 5*j + 15. Let d(f) = 7*f + 1. Let q(t) = a*d(t) - 6*i(t). Calculate q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12136.8177 take away 14?\nAnswer: -12150.8177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vff when three letters picked without replacement from fefffejefvjffffvee.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j**3 + 1842 - j**2 - j**2 + 0*j**2 - 1857.\nAnswer: -43*j**3 - 2*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 721385.29797 + -721525.3. Let s = -127 + -13. Let a = s - n. Round a to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(22\/9)\/(q\/q**10) assuming q is positive.\nAnswer: q**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9534867 + -22334867. What is k rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -750*12\/1778 - (-2 + 2). Let j = l + 26\/127. Is j >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 2. Suppose n*y = -g + 2*y + 26, 2*g - 3*y = 74. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 - 7 = 3*s, -2*z - 5*s = -1. Suppose 2*t - 5*k = 77, 36 = t + k - z*k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 11*c + 7. Let n(q) = -q**2 + 16*q + 25. Let o be n(18). Let s be d(o). Solve 11 = 2*k + s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c + 3*z + 6, c = z + 14. Let t(d) = 5*d - 8. Let a(s) be the third derivative of -s**4\/24 + s**3\/3 + 2*s**2. Give c*a(x) + 2*t(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80.2 + -80. Let z = -1.1 + 0.1. What is the nearest to 1 in -5, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200.9623 - 0.2377. What is y rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -63 - (-2)\/(-4)*4. Let d = -193\/3 - q. Which is bigger: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 + 1790*x**2\/7 - 256*x.\nAnswer: 2*x*(x - 1)*(x + 896)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71075, -65058, -55021, -40958, -22863?\n\"Answer: x**3 + 2004*x**2 - 2*x - 73078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465558 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m = 58*m - 36. Sort 19, 1, m in increasing order.\nAnswer: m, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:32 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 273 = -30*y - 1445 + 46 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 31. Let l = i - 11. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*i + 23 = 483 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 376181, 376180, 376179, 376178?\n\"Answer: -o + 376182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*l - 15, 4*l + 5*t = 8 + 5. Let z(d) = d**3 - 8*d**2 + 7*d + 2. Let r be z(l). Suppose -2*b = -4*b + 24. Solve r*q + b = 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 16*w - 28\/15*w**3 - 26\/5*w**2 - 3 - 1\/15*w**4. Factor f(u).\nAnswer: -4*(u + 1)*(u + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90761*o**2 + 2*o - 18*o**3 - 90809*o**2 - 14*o**3 to w*o**3 + h*o**2 + b + k*o and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/926 and -47?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -4 - 2*-34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2665608*k**2 - 8210617*k?\nAnswer: -5331216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let j be (z + 0)*2*3\/(-27). Let s = 3.2 + 0.8. Sort s, j, 0.1 in descending order.\nAnswer: s, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -1727 - 3893. Let g = -557 - z. Solve 4*b - 2*b + 28 = g*c, -5*c + 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from fnfnfnuruunfnunnynnf?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*h + 56490, -16*h - 5*d = -19*h + 42402. Calculate the lowest common multiple of h and 30.\nAnswer: 70620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 + 6 = 3*n, n - 25 = -5*j. Let f = -26 + 31. Suppose f*m - 25 = -n*m. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 + -177. Suppose -7*k + 3*k = g*i - 23, 20 = k - 4*i. What is the smallest common multiple of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:12 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 1 g when three letters picked without replacement from {w: 3, c: 3, l: 1, h: 3, g: 1, n: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -2*a, -3*x - 6 = 5*a - 3. Let k be a*4\/(-24)*10. Suppose 121 = 3*c - k*g, g = c - 2*c + 43. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 14. Let p(s) = -s + 3. Let i be p(f). Let o be (i + 6 + -3)\/1. Is o bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 3 - -10) + 1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99102830 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/(-7) + 2\/7. Let y be a\/1 - (0 + -2). Suppose -91*h - 80 = -75*h. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Suppose -27 = -4*f - 7. Suppose -4*g + 14 = -2. What is the remainder when i(f) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**2 + 2*d**3 - 15*d**2 - 12*d**2 - 2 + 18*d in the form v*d + n + y*d**2 + l*d**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 - 2764*f**4 + 979274*f**3 - 16638112*f**2 - 36225112*f - 18604960 = 0. What is f?\nAnswer: -1, 20, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 615.2 - 615. Which is the smallest value? (a) v (b) -4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/(d**(1\/17)*d)*((d\/((d\/(d*d**2))\/d))\/d)**(6\/25) assuming d is positive.\nAnswer: d**(418\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 8, 40, 96, 182, 304, 468, 680?\n\"Answer: y**3 + 3*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 7, g: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077231?\nAnswer: 47, 233, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(4\/15))\/v)\/(((v*v**(-1))\/v)\/v)*(v*v**(6\/5)\/v)\/(v*v**1*v) assuming v is positive.\nAnswer: v**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -4992\/298111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 11*z - 43 = 5*w, z = -5*w - 16. Let h be (6\/z)\/(38\/9 - 4). Let a = 169\/5 - 34. What is the smallest value in -18, a, h?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b1d (base 14) to base 6.\nAnswer: 120115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, d: 2, k: 1, i: 2, x: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37765*i**2 - 66870*i wrt i.\nAnswer: -75530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 6 + 11)*(2*t**4 - t**4 + 0*t**4) in the form s + p*t**3 + w*t + u*t**2 + o*t**4 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3\/7 + 432*p**2\/7 = 0.\nAnswer: -108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**2\/2 + i - 1. Suppose -5*s + 8 = 4*a, 5 = a + 15*s - 13*s. Calculate f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (2 - (5 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 2, b: 2, u: 1, t: 1}. What is prob of picking 1 u, 1 p, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4203 (base 9) to base 2\nAnswer: 110000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10794929 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120719856 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1233 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 saslsspsapssspssap. Give prob of sequence appl.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 2. Let p = s - 38. Let y = -20 + p. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-80))\/((-5)\/(-2)*-7*(-14)\/12740)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13449993 rounded to the nearest ten thousand?\nAnswer: -13450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = i, 1490*y - 1492*y = -2*i - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 3. Suppose 5*g - 14 = 1. Factor 6*m - 5 - g - a*m**2 + 8*m**2.\nAnswer: 2*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)*d*d\/(d\/d**(2\/83))*d*(d\/(d*d\/(d**(-35)\/d)))\/(d*d**(-12\/17)*d) assuming d is positive.\nAnswer: d**(-100943\/2822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 0*f**2 + 3*f**2 - 9*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, w: 1, z: 2, r: 1, c: 3}. What is prob of sequence wqz?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/101652 and -17\/50826.\nAnswer: 101652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26649, -2, 11, 0, -3 in decreasing order.\nAnswer: 11, 1, 0, -2, -3, -26649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830375 to the power of 1\/2, to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12\/a)**(-45) assuming a is positive.\nAnswer: a**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*o - 6, 3*c + o + 7 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 247514*z - 1732500.\nAnswer: -2*(z - 123750)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11196427*f**2*x + 10426*x - 113 wrt f.\nAnswer: -22392854*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 22*f**2 - 53\/3*f**3 + 0 + 0*f - 38\/9*f**4 - 1\/9*f**5 = 0.\nAnswer: -33, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/8*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 981138 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 11*i**3 + i**2 - i**2.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 961, 967, 983, 1015, 1069, 1151, 1267?\n\"Answer: v**3 - v**2 + 2*v + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 3, z: 1, e: 1, t: 1}. Give prob of picking 1 e, 1 h, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1378.6*5\nAnswer: 6893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130466771 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72819308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 27. Let q(z) = -2*z - 27. Let u(t) = -3*h(t) - 4*q(t). Calculate the least common multiple of u(-13) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 5\/14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.385 - -566.465. Let o = n - 586. What is the third biggest value in 1\/3, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8614 - -8618. Solve 4 = -5*m - g*b + 10, 5*m = 2*b + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.4, 9.8, -961?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*x - 900*x - 4789*x = -533658 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + (48 - 34).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.2 + -22.1. What is the smallest value in -1, -7, -2, v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5717599 is divided by 1185?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1814 or -74318\/41?\nAnswer: -74318\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-1344)\/35) + 7 + -8 + -6\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgmfmmgamrgmag. Give prob of picking 1 r and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 284*k**2 + 20*k. Let s(l) = -5400*l**2 - 375*l. Let g(b) = -75*n(b) - 4*s(b). Let y(i) = 4*i. Determine y(g(c)).\nAnswer: 1200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*k, 5 + 28 = 5*w - 2*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017028 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 518.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8434, 33728, 75884, 134902, 210782?\nAnswer: 303524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k - 1\/2*k**2 + 3 + k**3. What is the second derivative of b(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081319 rounded to 7 dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28*(2 - (-36)\/(-21)). Suppose -2*i - x = 4*j, 10 = 4*i + i. Let v(y) = -y - 2. Determine v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 31. Let h(g) = -3*g. Calculate h(k(t)).\nAnswer: -6*t**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*u - 3*u + 5*p, 3*u - p = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30102226 + 5?\nAnswer: -30102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + -3 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 + 1. Let g(q) = -q**2 + 6*q. Let j be g(6). Suppose v*c - 31 + 1 = j. Solve -n = n - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180759 by -1097.\nAnswer: -180759\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -3) + (10 - (6 - 7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -10902181252063?\nAnswer: 10902181252062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2126754*d**2. Let l(m) = 3*m**2. Determine a(l(g)).\nAnswer: 19140786*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2345966 divided by 1.\nAnswer: 2345966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 12. Solve l + 4 = 0, -4*l - v = a + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*z = -40, -5*z + 35 = -s - 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13632, -1, 0, 5.\nAnswer: -1, 0, 4, 5, 13632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 14 = 6*m, 7*m - 12*m + 5 = 0. Put -80, u, 3 in descending order.\nAnswer: u, 3, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 - 7 = 0. Suppose s*y - 25 = 3*c, -3*y + 15 = -0*c + 3*c. Solve c = -3*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818 (base 9) in base 12?\nAnswer: -982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + -5 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(4*f**2 + 4*f**2 - 3*f**2) + (-2*f + f + 4*f)*(-3*f + 1 - 1) to the form i + u*f + z*f**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*a**4*k - 244*a*k**2 - a + 16*k**2 + 8095*k + 2 wrt a?\nAnswer: -116*a**3*k - 244*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -533*c**4\/12 + 100*c**3\/3 + 657*c - 1. What is the second derivative of o(a) wrt a?\nAnswer: -1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150096802.\nAnswer: 2, 6101, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-349.306\nAnswer: -3.49306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 30*b + 3316. What is l(-42)?\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04209992799 rounded to 4 dps?\nAnswer: -0.0421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*-1 + sqrt(144) - sqrt(144))*-3)\/(sqrt(120)\/(sqrt(40)\/sqrt(4))))\/(-1*(sqrt(484) + sqrt(484)*-4)*4).\nAnswer: sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/119 and 61\/21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -189, -4.\nAnswer: -189, -4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (5 + -3 + 1)) + (43 - (-5 + 44))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 40. Suppose 0 = 3*o + o + 3*d + 22, -d + p = 0. Is o\/(34\/(-8) - -4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 844289974?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/3 - 15*j**2\/2 + j. Let v be q(11). Suppose -v*z + 2*z = 5, 4*h - 28 = -4*z. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 324.27. What is f rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 16. Let n(b) = -4*b - 10. Let f(i) = -1 - i - 1 + 1. Let j(z) = 5*f(z) - n(z). Determine j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f + 5. Let q be w(1). Suppose o = 4*d + 10, d = 2*o - q - 19. Solve 0 = 3*g + 9, 2*c - 2*g = -6*g - o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -37. Let d(x) = -2*x - 4. Let b(v) = 3*v + 6. Give m*b(h) + 8*d(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 0*k - k + 6*k**2 to v + j*k**2 + y*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5378009, 5378015, 5378025, 5378039, 5378057, 5378079, 5378105?\nAnswer: 5378135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, s: 11, e: 2, k: 2}. Give prob of sequence sk.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*b**2 - 2 + 11*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/11)\/(8\/((-12)\/(-3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + 42. Calculate the greatest common factor of 32 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 410 + 6*k - 25*k**2 + 9*k - 7*k**2 + 490 + 27*k**2 = 0.\nAnswer: -12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11 + 7*i**2 + i**2 - 15*i + 3 - 4 + i**3. Let d(f) = -2*f - 43. Let v be d(-17). What is the units digit of c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.82 (b) 0.15 (c) 0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13603775 divided by 2720755\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.19 - 0.19. What is the closest to -0.2 in -4\/11, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**7\/2520 + a**6\/180 + a**5\/30 - a**4\/3 - 2*a. Let u(z) be the third derivative of o(z). What is w in u(w) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*6\/(-4)*(-10)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(((-12 - -11) + 5)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40313 (base 5) to base 12\nAnswer: 15b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/(-3))\/((-3)\/(-9)). Suppose 5*w = -y + 89. List the prime factors of (-3 - -6)\/(3\/w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2299? (a) 0.5 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b**3 + 5*b**2 - 5*b + 5. Let u be (-6)\/75 - 7336\/175. Let f(i) = 204*i**3 + 42*i**2 - 42*i + 42. Determine u*a(j) + 5*f(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -352 (b) 1\/5 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.048.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9263602 litres?\nAnswer: 926.3602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 7*h**2 - 4*h. Let w be y(-3). Solve -8 = 5*i - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1668113237 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(5\/190). Suppose -92 = -3*w + i. Solve 6 + 8 = -2*x - d, 5*x + 3*d + w = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1112, -1053, -994, -935, -876, -817?\n\"Answer: 59*k - 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -34 + -1 + -8 + 24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -227 in 26, 5, -12, 1, 4, 4\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 5*c - 3. Let r be u(5). Let l be 1\/r*-43*3. Suppose -l - 19 = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 6 + 6)*(2*v + 0 + 0)*(-4 + 2 + 5) + 4*v - 2*v - v to x*v + w and give x.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2991 (base 13) to base 12\nAnswer: 35a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 1305*o + 358*o - 875*o.\nAnswer: -1822*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/10)\/(808\/160 - 5). Let z(m) = 3*m**2 - 37*m + 15. Let a be z(h). Solve -3 = -a*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-10013)\/(-1071) - (-26)\/117).\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/9492 and -83\/6328?\nAnswer: 18984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 67, 0.076, 1\/6, -0.3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113\/712 - 3\/89. Let s = -94 - -51. Let x = -37 - s. Which is the biggest value? (a) x (b) 3 (c) h (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(2*s - 3*s - s) - s + 6*s - 3*s - 29 + 13*s + 173 - 17*s.\nAnswer: 2*s + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7794, 7798, 7802?\n\"Answer: 4*p + 7790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5 and 109.\nAnswer: 113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121373 (base 10) in base 8?\nAnswer: -355035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -4431, -15810, -38155, -75120, -130359, -207526, -310275?\nAnswer: -442260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 13*g**2 - 25*g + 15. Give l(10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 575958 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -6\/11 (b) 0.015 (c) -3\/8 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f = -7046848 + 7045364 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/3 - 2020*f**2\/3 + 44947*f\/3 + 46966\/3 = 0. What is f?\nAnswer: -2042, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Let q = s - 9. Let t be (-1 - (0 + 0))*5. Which is the nearest to -1? (a) t (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {f: 1, g: 1, v: 1, c: 1, w: 2, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.5, -0.02, 5, 0 in decreasing order.\nAnswer: 20, 5, 0.5, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 12 - 12*w + 897 + 9*w + 8*w.\nAnswer: -2*w + 885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130788338.\nAnswer: 2, 269, 243101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 708 - 696. Calculate the remainder when 38 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1577 + -1234. What is the greatest common divisor of 21 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 3*j**2 - j - j**2 + 3*j**2 - 4*j**2 + (j - 3*j + 3*j)*(-2*j + 3*j - 4*j) + 1 + j**2 - 1.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13618 - 13584. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let b(a) = -2*a. Let n be b(d). Let u(h) = h**2 + 9*h + 2. Let p(j) = -j - 1. Let y(m) = n*p(m) - u(m). Calculate y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250988 < -250988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*1*(-3)\/(-12). Suppose a + 0 + t = 0. Let u = -50 + 50. Sort u, -3, a in increasing order.\nAnswer: -3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1644 + 211452?\nAnswer: 206505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.21233 kilograms to milligrams.\nAnswer: 44212330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00082203783 to five decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 17. Let s be m(-7). Suppose 0 = -3*f + 232 - s. Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:48 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12576 divided by 3144.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104370557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351661318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 34*s + 1. Let b be w(2). Suppose b = 4*c - 39. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 169888*c - 2038368 = 0. Calculate c.\nAnswer: 12, 84932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 29*l**2 + 17*l + 56. Let s be v(-14). Solve -i - s = -19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2528*l**3 - 1254*l**3 - 1272*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/770 and 9\/6160.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4979 + -1.5. What is i rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(3\/(108\/30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -43?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 - 3\/12. Suppose p*r + 6 = 3*r. Suppose 0*l + r*l = -4*f + 258, 2*f = 2*l - 228. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a78 + -111894?\nAnswer: -110a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/4 + 43\/12. Let s = -0.24 + -0.06. Which is the third smallest value? (a) 0.1 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000100101000010110001 (base 2) to base 12\nAnswer: 1557095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4255 = -6*k + 7079. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3212320)\/(-168) - (-16)\/336 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 10. Let r be u(-4). Suppose r*k - 25 = 13*k. Let i be (-402)\/(-16) - (-11)\/(-88). Solve -2*q = 3*q - k*n - i, n = -3*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69603.55mm in kilometers?\nAnswer: 0.06960355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.37848 nanometers in millimeters?\nAnswer: 0.00004537848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.5 - 2.5. Let j = 11 - u. Sort j, -0.4, -2\/17 in decreasing order.\nAnswer: -2\/17, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/12 - l**4\/12 + 6*l**2. Find the second derivative of u(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - 170. Let s be (16\/v)\/(4\/6). Factor -8\/3*w**3 - 4\/3 + 8\/3*w + s*w**4 + 0*w**2.\nAnswer: 4*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a093 + 1?\nAnswer: -a092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from hohohooooohohhoooo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/7 + 52*t**3\/7 + 2*t**2\/7 - 52*t\/7 = 0.\nAnswer: -1, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*w - 20, -p - 3*w - 23 = -5*w. Let o = p + 27. List the prime factors of 60\/18*3\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 53 = 5*q + 6*k, 2*q + 3*k = -11. Let o(y) = -3*y**3 - 3*y**2 + 3. Let d(c) = 6*c**3 + 5*c**2 - 5. Calculate q*o(f) - 6*d(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8875*o**3 + 3*o**2 - 111*o - 9.\nAnswer: 53250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = v. Let b be -3*1*v + -1. Suppose 0 = -3*x + b*x + 3. Solve -x*c + 1 = -4*m + 5*m, 0 = -4*c + 2*m - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 19. What is the third smallest value in -3\/2, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*h - 37 = 0, -h = -3*t - 0*t + 4. Suppose j = -0*j + 4*r + 18, 5*j - 5*r = 90. Solve -3*q = y - j, t*q + q - 2*y = 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 4 - (11 - (-32 + 48)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 51 - (43 + -6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556517.\nAnswer: 3, 29, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 130, -5, 0.3, -12, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18073113?\nAnswer: 3, 6024371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 3717.\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 2*f - 8*n - 7, 1 = f + 2*n. What is q in 84*q**2 - 18 + 5*q**4 - f*q**3 + 14*q**3 - 2*q**4 - 108*q - 38*q**3 + 66 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9842*m + 1257*m - 637110 + 202721 = 235241 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-4)*(-82)\/41. Solve -14*w = -19*w - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10902 and 78453.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((65\/(-26))\/(-5))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -12.4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1389605?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41526356 by -4.\nAnswer: -10381589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 35 = -3*g + 2*g, -2*q - 4*g = 0. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufpe when four letters picked without replacement from efuppfeppeupejpepeef.\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42843809318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 369400958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 51*a**4\/2 - 15087*a**3\/2 - 78750*a**2 - 200934*a - 33048 = 0. Calculate a.\nAnswer: -6, -4, -3\/17, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**9\/3024 - j**7\/840 - 4*j**3\/3 - 1. Let f(y) be the third derivative of q(y). Factor f(g).\nAnswer: g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 58112773.574333?\nAnswer: 58112772.574333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-10) + 1)*40\/(-60)*21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1423, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.9. Let m = 1.21 - 1.3144. Let c = m + h. What is c rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 13 = -9*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -342?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -30 + -4 - 62?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = s - 546. Let t = s + -64. What is the remainder when 124 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/(3\/(-10)). Let z = -1 - f. Suppose -3*x**2 - 3*x**4 + 0*x**3 + 2*x**3 - 8*x**z + 0*x**4 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416026530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82b92 - 5?\nAnswer: 82b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-8) - (-7)\/(-8). Let n(g) = -3*g**2 + 3*g - 11. Let l(k) = k**2 - k + 1. Let i(f) = t*n(f) - 2*l(f). Determine i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23448.6 kilograms in nanograms?\nAnswer: 23448600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70854 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6998*q. Let p(z) be the third derivative of z**5\/20 + 3*z**2 - 595. Calculate c(p(d)).\nAnswer: -20994*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1141358*b**4 - 123*b**2 - 62059239*b wrt b.\nAnswer: 13696296*b**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 11, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 650*y**5 + 2*y**4 + 1477*y**2 - 2*y.\nAnswer: 39000*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d21 + -16994?\nAnswer: -15c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -112, -114?\n\"Answer: -2*t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/104)\/4)\/((-2)\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-5 - -2 - -2). Suppose 5*l + x = -9, -g = -l - 77. Suppose -5*y = -g + 12. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose 31 = -2*p + 21. Put h, 2, p in decreasing order.\nAnswer: 2, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79820 and 270.\nAnswer: 2155140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -631430 - 2?\nAnswer: -631432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37458 is divided by 7467.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 101012010321030?\nAnswer: -101012010321033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/20*50\/10500?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1156 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:20 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 182, -2\/5 in descending order.\nAnswer: 182, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 5*j + 3. Let z be ((-2)\/2)\/(1\/(-4)). Suppose -3 = 3*i - z*i. List the prime factors of c(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-15))\/(((-4)\/8)\/(4\/(-4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188166006 - -6.\nAnswer: -188166000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*u**4 + 18*q**2*u**3 + 177*q**2 wrt u.\nAnswer: -8*q**2*u**3 + 54*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**2 + 113*p**2 - 671*p**2 + (-1 - 3 + 3)*(-p**2 + 2*p**2 - 2*p**2) + p**2 + 2*p - 2*p.\nAnswer: -528*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1709 divide 201938011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -368 + 167. Let w = 541 + j. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 111.097924317 and 0.0039?\nAnswer: 111.094024317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*d = 17, -147*t - 26 = -149*t + 8*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:13 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*j**5 - 4 + (10*j**5 + 0*j**5 - 3*j**5)*(2 + 3 + 0).\nAnswer: 38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f + 8 - 1\/3*f**3 + f**2. Let c(v) = 6*v**2 - 10*v - 5. Let h(k) = 2*c(k) + 11*i(k). What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118716 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/30 - 3*t**3 - 44*t**2\/5 - 253*t. Factor c(r).\nAnswer: -2*(r + 1)*(r + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, 1, 22, 65, 136, 241?\n\"Answer: l**3 + 2*l**2 - 8*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(((-9)\/6)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(65)\/sqrt(5)*-3 + ((sqrt(13) + 5)*-3)**2).\nAnswer: 522*sqrt(13) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 + (645\/(-90) - -5). Which is the fourth biggest value? (a) 0.5 (b) 0.01 (c) -0.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/72780 and -49\/48560?\nAnswer: 176709840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.143 + 0.443. Let s = 17\/3 + -6. What is the third smallest value in s, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.4155 years in decades?\nAnswer: 9.04155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-15)*36\/(792\/55).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3278 - -5.3278. Sort -15, v, 1\/5 in decreasing order.\nAnswer: v, 1\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 != -302880\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2825 and 9605.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 283*m**4\/12 - 86*m**2 - 2*m + 13. What is the first derivative of r(j) wrt j?\nAnswer: 566*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 331 = -5*v + 5*g, 3*v + g - 993 = 0. Let r = v - 300. Solve 0 = -4*s + l - 12 - 10, -3*l = -5*s - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/220*(-8)\/(-6)*(-525)\/(-70)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybmmdddycbbyby. Give prob of sequence mdd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (2 + -3 - 1). Let a be (4 + w + 8)\/(-4 + 5). Solve 0 = 4*x - c + 14 + 2, 3*x + a*c = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 747204, 747199, 747190, 747177, 747160?\n\"Answer: -2*g**2 + g + 747205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 19 = 3*i - 4*i, 0 = -4*r + 3*i + 13. What is the second derivative of 7*o - r*o**2 + 5*o**2 + 3*o**5 - o**2 wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/10 - (20 + -43 - (-369)\/15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-4*(sqrt(2299) + -1) + -5)*5)**2 + -5.\nAnswer: -46200*sqrt(19) + 8277620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56331?\nAnswer: 3, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157521137 to the power of 1\/2, to the nearest integer?\nAnswer: 12551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.35 - -8.9. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 59 + 56 - 3*s - 178.\nAnswer: -3*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3 - 2 - 404*d**2 + 5*d + 403*d**2. Suppose 0*y - 5 = -y. Let j be c(y). Solve -2*k - j = -3*k - 3*t, 21 = 4*k - 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/10)\/(o\/(o*o\/o**(-8\/7))) assuming o is positive.\nAnswer: o**(171\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72123 or 72119?\nAnswer: 72123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17 (b) -2\/9 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b + 10. Let u(d) = -3*d - 2. Let g(s) = j(s) + 5*u(s). Let q(n) = -4*n - 3. Determine g(q(z)).\nAnswer: -4*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 4. Let t be v(0). Suppose -351 = -5*l + t*x, 37 + 36 = l + 2*x. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7049579 litres to millilitres.\nAnswer: 704.9579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*g + 6*g = -10, 4*f - 5*g = 28. Let t(o) be the third derivative of 1\/6*o**3 + 5\/24*o**4 + 0*o - 7*o**f + 0. What is the derivative of t(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottt. What is prob of picking 1 o and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -5.520957.\nAnswer: 2.2083828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-124)\/(-11))\/(2584\/187 - 14).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.9 (b) 24 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 2036900*c - 116119545.\nAnswer: 5*(c - 57)*(c + 407437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*a. Solve 0 = -5*j - a*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 262\/(-6) + (-3)\/9. Let g = d + 66. Suppose 0 = -4*x + 3*x + 6. Calculate the smallest common multiple of x and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m**3 + 5*m**3 - 42*m**3 + 1 as n*m + c + j*m**3 + x*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384045.\nAnswer: 5, 13, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1133730 and -101\/59280.\nAnswer: 9069840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67987963 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 1800, 4042, 7178, 11208, 16132?\nAnswer: 21950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + h - 2, 2*q - h - 4*h + 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -4090.2527812?\nAnswer: 4090.7527812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.14196 litres in millilitres?\nAnswer: 48141.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10281 or -2?\nAnswer: -10281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -6 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -7, -9, -11, -13, -15?\n\"Answer: -2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -724, 4, -5, -2, 9, 1 in increasing order.\nAnswer: -724, -5, -2, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1344, -4714, -12140, -25650, -47272, -79034, -122964, -181090?\n\"Answer: -338*k**3 - 1004*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(sqrt(13) + sqrt(52)\/sqrt(4)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 160144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 5:42 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-90))\/((-2)\/18)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 - -346. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 40, 107, 230, 427, 716, 1115?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 29, -1 in decreasing order.\nAnswer: 29, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/77, 2\/3, 0.2, 2\/525, 1\/6 in decreasing order.\nAnswer: 2\/3, 0.2, 1\/6, 2\/525, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + 2*sqrt(832) - (-5*(2*sqrt(832) - sqrt(832)) - -4*(sqrt(832)*-2 + sqrt(832))))**2 + -3.\nAnswer: -352*sqrt(13) + 100673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 731*t - 4 + 705*t.\nAnswer: -26*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6631 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9523 is divided by 680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 709008711 or 709008709?\nAnswer: 709008709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1141\/368 + 31469\/9200. Let 8\/5*z + 0 + 2\/25*z**5 + 4\/25*z**4 - 6\/5*z**3 + p*z**2 = 0. Calculate z.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2455 + -311434?\nAnswer: -304535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 13671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 838*m + 10903. Calculate x(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705067359 by 3.\nAnswer: -235022453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 2*q - 6*q. Suppose 3*p - 4*a - 10 = -3*a, 0 = -4*p - 3*a + q. Let w be 2\/(-5) - (-62)\/p. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -107 and -0.047.\nAnswer: -107.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -1125, -4, -1, -0.3, 0.5 in increasing order.\nAnswer: -1125, -4, -1, -5\/8, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-173)\/((-20760)\/144)*((-20)\/(-189))\/(14\/21)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 2.9. What is the biggest value in f, -5, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4 - 2 + 0*c - 4 + 5*c. Does 15 divide s(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 4*h**2 - h**2)*(2 - 3 + 3)*((-12 + 12 - 6*h)*(0 + 1 + 0) + 2*h - 51 + 51).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37912968?\nAnswer: 2, 3, 175523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p + 1. Suppose 0 = -v - 6 + 1. Let m = 4 + v. What is the tens digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380848674 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -22 and -473571051030.\nAnswer: -473571051052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 9) to base 7\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -23, -54, -121, -236, -411, -658?\n\"Answer: -2*l**3 + 7*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*j + 233, 5*l - 2*j = 3*j + 1145. Let d = 103 - l. Let n = 176 + d. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86598? (a) -0.2 (b) 2\/5 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*n - 6, i - 3*n - 9 = n. Suppose -4*x = -3*x - 2*t + i, -5*x + 4*t = 11. Let s(m) = 6*m - 4. Let y(v) = 7*v - 5. What is x*y(o) + 4*s(o)?\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/(495\/25800) - -12.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 6*b - 1. Let l be -1 - (0 + -3) - -2. Let f = 12 + l. Calculate the lowest common multiple of y(-5) and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 154 = -201 + 283 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/30 - -2 - (-6)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 67*n**2 + 15*n + 501. Let s be r(-30). Calculate the highest common factor of s and 657.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m - 53. Let f(r) = 3*r + 1. Give 4*f(o) - k(o).\nAnswer: -7*o + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4 + -6 + -1)) + -15 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 63*b**2 - 28*b - 98. Let p be c(31). Sort 0, 3, 1, p in descending order.\nAnswer: 3, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158567954?\nAnswer: 2, 79283977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 490 + -489. Calculate the smallest common multiple of 22 and j\/(((-5)\/(-1))\/290).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3))**41 assuming g is positive.\nAnswer: g**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 132*o + 1685. Calculate w(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, 1\/55, 94, 0.7, -21\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 2563*l + 44 = -2566*l + 2, 3*u + l = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26787552.\nAnswer: 2, 3, 11, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*l**2 - 30*l + 47*l - 18*l.\nAnswer: -490*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*9*1*4\/(-60).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 14*d - 3. Let a(j) = -18*j. Give a(o(y)).\nAnswer: -90*y**2 - 252*y + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**9\/15120 + c**5\/40 + c**4\/24 + c**2. Let b(m) be the second derivative of g(m). Differentiate b(v) with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225*q**3*u**2*w + q**2*u*w**2 + 2*q*u**2*w**2 - 30*q*u*w + q*w wrt q?\nAnswer: -1350*q*u**2*w + 2*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33326 is divided by 709.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 3*t**2 - 2*t - 2. Let g be a(-3). Suppose 7*f = g*f + 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -107*a - 864. Determine c(0).\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21100210 (base 4) to base 5.\nAnswer: 2203144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -23*y + 65 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 22.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4155 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1652.1711 to zero dps.\nAnswer: -1652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*i + 603 + 1632 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65048 divided by 100.\nAnswer: -16262\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 3696*p**2 - 29495*p + 33192.\nAnswer: -(p - 1)*(p + 9)*(p + 3688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/47 or 1?\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o*z**3 + 654*o*z**2 + 2*o*z + 8206698*o + 56*z**2 wrt z?\nAnswer: 24*o*z + 1308*o + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10825, -21640, -32465, -43312, -54193, -65120?\n\"Answer: -2*l**3 + 7*l**2 - 10822*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 4*k - 2*k)*(-k**3 + 1 - 1) - 4*k**2 + 4*k**2 - 6*k**4 + 67*k**2 - 67*k**2 + 4*k**4 + (-2 + 3 + 0)*(-2*k**4 - 2*k**4 + 3*k**4).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -41*q + 55*q. Suppose 0 = -w - h + 53, -q*w = 2*h - 351 + 95. Calculate the remainder when 117 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + (-8)\/(-3). Let z(y) be the third derivative of -y**5\/60 + y**4\/8 + 5*y**3\/6 + 7*y**2. Let q be z(5). Put -4, q, v in ascending order.\nAnswer: q, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, -59 in ascending order.\nAnswer: -59, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 - 744*s**3 - 16320*s**2 - 126464*s - 331776 = 0. Calculate s.\nAnswer: -162, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184777\/35 - 5279. Find the common denominator of d and 89\/250.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1 + 15\/9). Let o be 2 + n + 8 + -5. Find the third derivative of -4*k**2 + 6*k**2 + k**o + 3*k**2 + 4*k**3 wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*p - 45 - 204*p - 129)*(-p - 3*p + 2*p)*(3 - 1 - 1)*(-4*p**2 + 7*p**2 - p**2).\nAnswer: -12*p**4 + 696*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/13)\/(d\/(d**(-2\/19)\/d)*d)*d**13\/d**(-3\/5) assuming d is positive.\nAnswer: d**(13341\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/((-4)\/(-2440)). Let d = -188 - f. Calculate the remainder when (-1)\/((-4 - -1)\/d) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/14 - 20\/7. Let f = -234 + 234. Let k be (-2)\/(0 - -6)*1. Which is the closest to f? (a) k (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4844*y - 406*y - 45799 = 187334 + 42023 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 77?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83080*z + 41536*z + 41547*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 145176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2181.1 from 937613049.\nAnswer: 937615230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 2. Suppose -5*h + 0 = d. Let r(q) = 6*q**2 + 3*q + 1. Is r(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*228.2356.\nAnswer: 228.2356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 52 = 7*h. Suppose 5*n - 2*x - 1 = -0, h*n - 5*x = -6. Solve 0 = 2*s + 7 + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40911972 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 divided by 178856?\nAnswer: 85\/22357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f - 131*f - 138*f - 140*f - 135*f - 142*f + 826*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + (sqrt(68))**2 + -4).\nAnswer: 4*sqrt(17) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/556206 and -9\/28.\nAnswer: 1112412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96111898.\nAnswer: 2, 47, 1022467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + 0.8. Which is the nearest to 3? (a) 0.3 (b) 1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + (-1 - -4). Suppose z*u + 1080 = 5*v + 348, 0 = -3*v + 4*u + 428. Let b = v + -78. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let f = 3.7 + x. What is the smallest value in -4\/7, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**2\/5 + 13223744*b\/5 - 10929212836096\/5 = 0.\nAnswer: 1652968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*d - 24263, -8*d - 138*l + 48603 = -133*l. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581010?\nAnswer: 2, 5, 37, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 3*z + 4, -z + 4 = 0. Let k(x) = -2 - 3 + 2 - 4*x + 2*x. Let g be k(t). Solve 2*w + w + 5 = -4*h, 0 = h + g*w - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -16 - (-3 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*d + 133*d. Solve d = -20*y + 12*y - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-395)\/(-20). Suppose j + 30 = 3*s, 4*s - 2*j - 22 = v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, 6, -7 in decreasing order.\nAnswer: 6, 5, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7\/3)\/(a**(-1\/2)*a))\/(a*a**(-4\/3)*a**(-2\/11)))\/(((a\/a**(1\/6))\/a*a*a)\/((a**(1\/5)\/a)\/a)*(a**2\/a)\/((a**(1\/3)*a)\/a*a)) assuming a is positive.\nAnswer: a**(-309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 13*c**2 - 30*c - 121. Calculate the remainder when m(-5) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-850)*20\/12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3862470681.\nAnswer: 3, 429163409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 - 7 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 190*w - 184*w. Suppose -5*j + 532000000 = -j. Suppose j = -w*k - 3*r, 0*k - k = 5*r + 26600000. What is k rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/30 - k**4\/3 + 4*k**3\/3 + 8*k**2. Factor i(o).\nAnswer: 2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/((-49)\/(-77)))\/980 and -10\/539.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 68*c - 1101. What is l(41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:03 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.11 (c) -1 (d) -111\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 13755 times -0.2?\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 2\/9, 3, -13\/2, 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 - (4 + -14))) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28091*z**3 - 30*z**2 - 2430*z + 194 wrt z?\nAnswer: 168546*z - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/6 - 2*a**3\/9 - 7. Factor w(p).\nAnswer: 2*p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/10 and 163\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 47b4b1?\nAnswer: 47b4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 - 60*n**3 - 432*n**2 + 592*n + 960 = 0 for n.\nAnswer: -6, -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47.47 times -0.25\nAnswer: -11.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -150 - -1 - ((-3 - -4) + -5). Let d = x + 148. Solve d*w + 3 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 3, -0.04, 0.04 in descending order.\nAnswer: 3, 0.04, -0.04, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-74)\/14. Let b = 6 + 1. Let h = -14 + 16. Put b, r, h in increasing order.\nAnswer: r, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 38 + 61 + 3*v - v**2 - 96. Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x + 2*x**3 - 5*x + 17*x**2 - 10*x**3 wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10391128 by 7.\nAnswer: 10391128\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5961, -3.4, 5?\nAnswer: -5961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-68)\/8)\/((-3)\/(-6)). Let l = 8 + t. What is the remainder when 3 is divided by 1\/(15\/l - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/(-11) + (-13)\/((-286)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -18?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14554*k + 52 = -14567*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, 17, 1 in ascending order.\nAnswer: -5, -3, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:42 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exepppuoepeexeeepeen. Give prob of sequence nep.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3575)\/(-130))\/(-55)*(6\/(-174))\/(2\/12).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120239 and 3026?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3293 - -3311. Sort y, -1\/4, 5, 1 in descending order.\nAnswer: y, 5, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-81)*(0 + 3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/(v*v\/(v**(-5)*v*v)))\/(v*v**(-3)*v**2) assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let z be y - -2*(-1)\/1. Suppose -3*u + 28 = -2*u + 3*s, 0 = -z*u + 3*s + 120. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 27. Let r be h(-13). Let x(g) = 2*g**2 + 4*g + 3. Let q be x(r). Which is the closest to q? (a) -0.2 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 28 = i, 2*i - 38 = -0*i - 4*h. Suppose -3*f - 35 - i = -5*d, -5*d + f = -50. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.063cm to nanometers.\nAnswer: 890630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5654730 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*((-8)\/(-12))\/(4\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/2 + 83*l**3\/4 + 921*l**2\/4 + 310*l + 100 = 0.\nAnswer: -20, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*h)*(-2*h - 2*h - h)*(-90*h - 120*h - 69*h + 92*h).\nAnswer: -3740*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300303230 - -3?\nAnswer: 300303233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 4. Let p be j(4). Let i(r) = 3*r + 0*r + p*r - 6*r. Let c(d) = -d**2. What is i(c(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 3*y - 7\/2*y**2 + 0 + 0*y**3 + 1\/12*y**4. What is the units digit of c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(63\/7)*5. Suppose v*d = 8*d - 392. Put d, 2, 3 in decreasing order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 3340, 7521, 13374, 20899, 30096?\nAnswer: 40965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9171 = 123*i - 64152. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -1)\/((-2)\/(-8)). Let h = 46 + m. Let u = h + -10. Calculate the lowest common multiple of u and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 14. Determine t(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y. Let w(l) = -17589*l**2. Determine v(w(s)).\nAnswer: 105534*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178930407.\nAnswer: 3, 59643469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*p + p - 207366, -5*p = -5*x - 207365. Let d = -1493215\/36 + p. Calculate the common denominator of -25\/54 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -268 and -0.5.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49 + 0*s**3 - 3*s**4 - 415 + 32 - 37*s**3 wrt s.\nAnswer: -12*s**3 - 111*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcmm when four letters picked without replacement from mzcmzcmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 26646132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-96))\/(49\/315)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 987744 and 48?\nAnswer: 987744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 9, x: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.063 (c) -0.4 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-12))\/((-1)\/(-4)) + 2. Suppose -4 = -i + 4*w, v = -3*w + 2*w. Is (-2)\/4 - 9832\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6262 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/5 - 162738*r**3\/5 + 31138479*r**2\/5 - 182437272*r\/5 + 271459188\/5 = 0. Calculate r.\nAnswer: 3, 186, 54054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39026 and 3012070.\nAnswer: 3093395890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104876?\nAnswer: 2, 157, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 12. Calculate the least common multiple of x(12) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (-2 - (-9 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 4*a**5 + 3*a**5 + (-3*a**2 - a**2 + 2*a**2)*(-2*a**3 + 1 - 1) + a**5 + 0*a**5 + a**5 + 31*a**5 - 18*a**5 - 19*a**5.\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -375, -555, -739, -927?\n\"Answer: -2*p**2 - 174*p - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (247 - 507 - -218) + (7 - -1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -3. Let z = -0.4 + 0.6. What is the second biggest value in i, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) 0.028 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -54482150.\nAnswer: -54482151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 times 635?\nAnswer: -173355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 918147683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 17 = 4*r. Suppose 2 = -3*z + r. Let y(a) = -a**2 + 2*a**2 + 8*a**z - 2*a**2. Let f(o) = o**2. Give f(y(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -292460 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/136 and -17\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 882*c**3*g**2 - 268*c**3 + 2*c**2*g**4 + c**2 wrt g?\nAnswer: 1764*c**3*g + 8*c**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 115 = 4*a - 107, 0 = -3*a + 2*o - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2037 - 65*d - 64*d - 65*d + 194*d - d**2 in the form t*d + z + s*d**2 and give z.\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 108*k - 5887. Calculate v(54).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 60806.3463 minutes?\nAnswer: 6.032375625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -23*t**4 + 6*t**2 + 7*t + 7. Let d(y) = 22*y**4 - 7*y**2 - 6*y - 6. Let c(z) = -7*d(z) - 6*p(z). Find the third derivative of c(f) wrt f.\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 - -2033\/7. Let j be (-26)\/(-22) - (-2)\/(-11). Let z be (-102)\/(-90) - (j - 0). Which is the second biggest value? (a) -3 (b) 2 (c) z (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4563*x - 36501. Calculate m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -0.9 (b) -40 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 12)*(-574)\/656.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*3*(-32)\/(-32832).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11863*g. Let o(v) = -3*v - 2. Give u(o(p)).\nAnswer: 35589*p + 23726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -18 + (-16 - -35) + 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83560 and 2560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6339366 kilometers in millimeters?\nAnswer: 633936.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11673*c**2 + 2 + 14273*c**2 as g + z*c + i*c**2 and give i.\nAnswer: 2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - 2*b**2 + 2*b**2 + 2*b**2 - b + b + (2 - 3*b - 2)*(-163*b - 33*b + 13*b).\nAnswer: 549*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-9 - (19\/(-38) - 2164\/200)).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 147 - 49 - 50 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:21 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -68429\/3, -9, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -0.5, -2 in ascending order.\nAnswer: -14, -3, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - 15. Let f(l) = l**2 + 13*l + 3. Let t be f(-9). Let n = t - -35. Solve z*o - n*o - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 127*c + 87\/2*c**2 + 0 - 27\/4*c**4 + 0*c**3. Find the first derivative of r(y) wrt y.\nAnswer: -162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:54 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 + -228. Let m be 0 + 6\/(-42) + b\/2114. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 4) in base 13?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -33\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.2 (c) 2 (d) 516\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 - 2*q. Let n(k) = -k**2 - 7*k - 2. Let g be n(-6). Let b(o) = -o**3 + 3*o**2 + 3*o + 2. Let h be b(g). Is s(h) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxeexnnxneenexnxep. What is prob of picking 1 p and 1 e?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -3288 and 135 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009447037535 to 6 dps.\nAnswer: -0.000945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4002 is divided by 3985.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 865584.7 days?\nAnswer: 74786518080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-26)*a**(-18)*(a**(-14\/9)*a)**(-1\/14) assuming a is positive.\nAnswer: a**(1139\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q = 128*q - 5*c - 148545, -59390 = -2*q - 5*c. What are the prime factors of q?\nAnswer: 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/((-76923)\/(-148)))\/(4\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + 66. Let v be z(5). Let g = 272 - v. What are the prime factors of g?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1306*p**2 + 354.\nAnswer: -2612*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 8. Let v(d) = -d**2 - d - 1. Let u(f) = f**3 - 3*f**2 + 6*f - 1. Let x(a) = o*u(a) - v(a). Factor x(n).\nAnswer: -(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2875191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 19*z + 7. Suppose -4*t + 2*t = -l + 36, 5*t + 90 = 5*l. Calculate the remainder when 98 is divided by g(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - -3) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p + 6. Let s be 18\/5 - 4\/(-10). Let d be a(s). Let x(j) = -d*j + 0*j + 0*j + 3*j. Let c(y) = -2*y**2. Give c(x(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 9*w - w**2 - 414 - 459 + 866 - w**4 to s*w**4 + h*w**2 + l*w + o*w**3 + k and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (75 - -5) + 2\/(-2). Let m = 47 + v. Suppose h = -5*h + m. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1027, 2047, 3067, 4087, 5107?\n\"Answer: 1020*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.64 times 0.5?\nAnswer: 113.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3313 + 0.6687. Let b = 3 - 2.6. What is the nearest to 2\/9 in s, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/154 and -79\/572?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 80 = 11*d. Calculate the remainder when 55 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/8 + 2*q**3\/3 + 3*q**2\/2 + 5*q. Let p(c) be the first derivative of i(c). Differentiate p(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 120029.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-25 + 32)*2\/35).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118848260693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 0*k, 0 = 3*d + 3*k + 15. Let w(j) = -j**2 - 13*j - 25. Calculate the remainder when 41 is divided by w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4667 = 14*t - 12455. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -15. Let q(v) = -v**3 + 4*v**2 - v - 2. Let c be q(3). Suppose 5*t - 38 = -4*h, -h - 46 = -c*t + h. Calculate the remainder when z is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -136?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -4502. What are the prime factors of x\/66 - 2\/(-11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -211*z**3 - 5*z**2 - 4. Let f(n) = 317*n**3 + 8*n**2 + 6. Give -5*f(x) - 8*s(x).\nAnswer: 103*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:32 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10317 - -10541. What is the least common multiple of i and 48?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + q - 3 + (360 + 279 + 189)*(q + 0*q + 7*q))*(2 - 2 + 2) to p*q + v and give p.\nAnswer: 13250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*g**3 + 1043*c**2*g**2 + c**2 + 1468*c wrt g?\nAnswer: 9*c**2*g**2 + 2086*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 7) + (-17 + -10 + 21 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -278.771 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, d: 5, e: 9, j: 1}. Give prob of picking 1 d and 1 b.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1 - 2) + (23 - 3 - 3) + -79.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = 0, 0 = -3*r - 2*a - 0*a + 3. Suppose -1 = m - 5, 0 = -r*t + 3*m. Suppose 104 + 168 = t*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 3*v + 22 - 10, 0 = -v - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1742 + 1745. Let h(s) = -3*s**2 - 1. Let t(p) = -8*p**2 - 3. Let y(q) = -11*h(q) + 4*t(q). Let m(n) = -4*n**2 - n + 5. Determine b*m(k) + 15*y(k).\nAnswer: 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 11*f**2 + 10*f - 8. Give b(9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 43. Let b be r(-10). Let n(f) = 5*f**2 - 48*f - 80. What are the prime factors of n(b)?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2*i**2 + 3 + i**2)*(5*i**3 + 3*i**3 - 5*i**3).\nAnswer: -3*i**5 - 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**2 - 1964*o - 741. Give v(-85).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*h - 252 + 242 = 0, r - 12*h + 37 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 - 3*x - 6. Suppose 15*c = 16*c - 13. Let i(k) = -6*k**2 - c + 1314*k + 20 - 1311*k. Give 6*i(f) + 7*r(f).\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12283 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 521.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64539?\nAnswer: 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 66206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0 (c) 40 (d) -2 (e) -46\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -367 (base 13) to base 8.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1853 and 5006152.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 69. Let f = -9 - g. Suppose 5*y - 5*a - 35 = f, -5*a = -y + 5*y - 19. Solve 3*m = -z + 15 - y, -2*m - z = -7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/24 + 5*s**3 + 2*s**2. Let g be m(0). Solve -3*z - g = 3*i, z - 15 = 2*z + 2*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72853\/30 + 2426. Let c = 9207 - 92127\/10. What is the common denominator of c and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 24*t**2 + 23*t - 29. Calculate z(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 146, 0, -4, 1 in ascending order.\nAnswer: -4, 0, 1, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65791, -261989, -588963, -1046695, -1635167, -2354361?\nAnswer: -3204259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = 3*x, 5*y = -2*x - 0*y + 4. Let c(n) = -4*n**2 + 8*n + 1. Let v(h) = -2*h**2 + 4*h. Let b(s) = -3*c(s) + 7*v(s). What is b(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103538592.9 to the nearest ten thousand.\nAnswer: -103540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -903084*l - 19867838. What is f(-22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.04, -0.1, -4\/3, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**4. Suppose -4*x = s - 1, x = -2*s + 2*x + 2. Let u(w) = 37*w**4 - 30. Let z(i) = s*u(i) + 5*k(i). Differentiate z(g) wrt g.\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 20 + 3515*l + 15 - 1875*l + 18 - 1752*l.\nAnswer: -112*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 356?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -329\/9. Let c = -5.1 - -5. Let q = c - 0.9. What is the nearest to q in -0.2, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 552. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(133)\/(sqrt(84)\/sqrt(588) + sqrt(7)))**2.\nAnswer: 803\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571245, 571390, 571535, 571680, 571825, 571970?\nAnswer: 572115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 625.87 and -7?\nAnswer: 632.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3762090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-16)\/5)*(-60)\/100\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4 = -5*p. Let q(b) = 2 - 9*b**2 + 23*b**p - 2. Let d(n) = -1 - 196*n + 1 + 199*n. What is q(d(f))?\nAnswer: 126*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3911, -8005, -12095, -16181, -20263, -24341, -28415?\nAnswer: -32485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3\/4 + 69*k**2 + 135*k = 0?\nAnswer: -90, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3947*m**4 - m**3 - m**2 + 25168*m?\nAnswer: -47364*m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 106 = -34 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.18953 micrometers?\nAnswer: 0.00000818953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*d - 1734, -4366 = -5*p - 0*p - 3*d. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2787754 is divided by 97?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.186 in 0.3, -0.09, 0.4, -15\/37?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2349995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:28 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73\/5 - -15. Let v = -683\/910 + 7\/65. Let f = v + 8\/7. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g + 3. Let j(s) = -5*s**3 - 17*s + 13. What is -2*j(m) + 9*t(m)?\nAnswer: m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-16))\/11*(-7)\/((-308)\/(-16)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39296 + 150489 - 66734 = -11884*f - 257237 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -419483 less than -419483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 - 410*j**2 - 22736*j - 172872 = 0. Calculate j.\nAnswer: -98, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0 + 0 + (5 - 4 - 3)*(2*x + x - 2*x) + 366 - 366 - 79*x)*(17*x + 10*x - 5*x)*(-x**3 - 4*x**3 - 3*x**3).\nAnswer: 14608*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose 0 = -3*v + j*r + 81, -4*v + 2*r + 28 = -3*v. Let x = v - 15. Calculate the remainder when 21 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*h**3 - 1381*h**3 + 682*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 + 14436*g**3 + 153786*g.\nAnswer: 40*g**3 + 86616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose v - 139 = -4*d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21\/1909 (b) -2 (c) 5\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -256*r + 7003. Calculate o(27).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(1\/8)*m*m\/(m*m**(-1\/2)))\/((m**2\/m)\/m**(-4\/5)))**(8\/5) assuming m is positive.\nAnswer: m**(103\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 22263\nAnswer: 2003.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - (8 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -126*n**2 + 43*n - 89. What is o(2)?\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/4 + 27*l**3\/4 + 63*l**2\/4 + 57*l\/4 + 9\/2 = 0. Calculate l.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86130)\/5220*((-44)\/12 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242549310 to the power of 1\/2, to the nearest integer?\nAnswer: 15574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 15*l + 100 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438.39 + -479.459. Let d = -0.97 - -41.97. Let l = d + z. What is l rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637607178, -1275214353, -1912821528, -2550428703, -3188035878?\nAnswer: -3825643053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 13*o. Let t be p(13). Solve -3*w + l + 6 = -t, 4*w - 16 = 4*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3637 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/120 - p**4\/8 + 2*p**3\/3 - 6*p**2. Let c(w) = 0. Calculate w.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 16*r. Solve r = 5*s - s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 + 288. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - n + 1279*n**4 + 4*n - 1337*n**4 - 2 in the form p*n + m*n**2 + z*n**3 + i*n**4 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -349683 (base 13) to base 5\nAnswer: -304432032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 115 - 502 + 268 - 3*t + 119.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.190990013396 less than -6?\nAnswer: -5.809009986604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 64 + 138169718*r - 138169718*r.\nAnswer: -4*r**3 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-2\/7)\/c)))**(2\/111)*c**(-12)\/(c\/c**(-3\/8)) assuming c is positive.\nAnswer: c**(-83171\/6216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 977*q\/3 + 3884.\nAnswer: (q + 12)*(q + 1942)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 7*l**5 + l**5 + (5*l - 2*l - 2*l)*(-2 - 60 + 34)*(3*l**3 - 4*l**3 + l**4 - 2*l**4).\nAnswer: 23*l**5 + 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 19 = 5*d, 4*v - 88 + 74 = -d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -31, 10, 209, -7, -6 in increasing order.\nAnswer: -31, -7, -6, 2, 3, 10, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7040283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 4. Let l(n) = -n + 2. Let o(m) = -2*j(m) + 5*l(m). Let g be o(0). Solve g*t + 2*t = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 4*z**2 + 2*z**2. Let p(j) = -4 + 8 - 4 + 2*j**2. Give p(f(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/7)*r*r**(1\/3)\/r)\/((((r*r**(2\/3))\/r)\/r)\/(r\/(r*r**(-1\/14)\/r)*r)))\/(r**(-2\/13)*r**10)**6 assuming r is positive.\nAnswer: r**(-30137\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -4 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54210 divided by -11.\nAnswer: 54210\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 7 + (-3 + 1 + 3)*(0 - 1 - 1) - 2 + 7 - 2)*(3*p**3 + 0*p**3 - p**3 + p) to m*p**2 + y*p + o + w*p**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.16, -1, -0.46, 0.4 in increasing order.\nAnswer: -5, -1, -0.46, -0.16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231.631 + 0.369. Let c = -230.77 + z. Round c to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -12 + 6 + (-1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 1\/237, 0.1, -83\/9 in increasing order.\nAnswer: -83\/9, -1, 1\/237, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 3354129.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265.891 - 266. Let h = 0.089 + z. Put h, -2, 0.2 in decreasing order.\nAnswer: 0.2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2075 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2021 (base 3) to base 4\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 318 or 46.91?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -725, -1449, -2173, -2897, -3621, -4345?\n\"Answer: -724*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(3*p - 2*p + p) + (-1 + 2 - 3)*(2 - 2 - 3*p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*p - 4 - 17, 0 = -5*p + 15. Suppose -r = k*r + 800000. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaajtjijwjaata. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 14*o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 244*d**2 + 3662*d + 21. Give g(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - 16*s - 9. Let j be z(-6). Let f(o) = -5*o + 15 + j + 6 - 6*o - 39. Give f(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50238488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6*s = -273. Let a = s + 48. What is the greatest common factor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13511 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-180)*8*2 and ((-80)\/33)\/(-2)*((-208)\/(-3) - 70)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 3*q - 3. Let h(z) = z + 6. Let s be h(-10). Let p be x(s). Let f(n) = -190*n. Let k be f(p). What is k rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2 - 8004680*o + 4004681368900 = 0.\nAnswer: 1000585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-3\/2)*q**(2\/65) assuming q is positive.\nAnswer: q**(-61\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyg when three letters picked without replacement from {y: 1, g: 1, d: 1, k: 1, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y - 1. Let u(w) = -5*w**2 + 3*w - 3. Let t(r) = -3*r**2 + 2*r - 2. Let h(d) = -7*t(d) + 4*u(d). What is 2*g(v) + h(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 12, 2, 4, 0, -320.\nAnswer: -320, -6, 0, 2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -392 + 761. Does 11 divide y\/12 - 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13283.\nAnswer: 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28721309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118 + -23082?\nAnswer: -2319a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32249287*c**5 - 155*c**2 + 9975*c + 6.\nAnswer: 1934957220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 50*c**4 + 635*c**3\/6 + c + 12. Find the second derivative of i(n) wrt n.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - u = 2, -u - 8 = -7*f + 2*f. Suppose -5*s - 5 = -o + 34, -2*o + 38 = -f*s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6111 + -6111. Put -0.1792, v, -0.1 in ascending order.\nAnswer: -0.1792, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*n + 4*n. Suppose 3*b - 225 = n. Suppose b = 4*w + w. Calculate the highest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -52, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699 + 1691 - 7*x - 3390.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 0. Let z = 98 + -103. Let u(v) = -v**3 - 3*v**2 + 4*v + 4. Let n be u(-4). Sort z, d, n in descending order.\nAnswer: n, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722547279.\nAnswer: 3, 3821, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 - 14*a**2\/13 + 28*a\/13 - 16\/13.\nAnswer: 2*(a - 4)*(a - 2)*(a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148759 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 6 (b) -5 (c) -0.06 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3 + 0 - 8*c + 8*c + c. Let v be o(3). Let r(f) = -3*f + f + f**2 + 3 + v*f. Give r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.52 + -0.48. Let p = i - -5. Let n = -23 - p. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let r = -1\/50 - -38\/25. Let f = 32636\/9 - 3626. What is the nearest to f in c, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3192 + -3191.67652. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 342*m**2\/7 - 1284*m + 8792.\nAnswer: -(m - 314)*(m - 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(288) + (1*sqrt(288))**2*1 + -1 + ((sqrt(288) - (sqrt(288) + 1 - sqrt(288)))*-2)**2 + sqrt(288) + 3.\nAnswer: -72*sqrt(2) + 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57168*a**2*o**3 - 7*a*o**2 - 15*a*o + 63*o**3 - 25997*o + 5 with respect to a.\nAnswer: 114336*a*o**3 - 7*o**2 - 15*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(33)\/sqrt(3))**2*-6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)**12*t**(1\/9)*t*t**(-7))**(2\/37) assuming t is positive.\nAnswer: t**(-322\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -165820044 divided by 3?\nAnswer: -55273348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*u + 206. Sort -3, 1, u.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49\/8 - 139\/24. Let 0*w - 2\/3*w**2 + 0 + 1\/3*w**3 + q*w**4 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whfxhwwwahafww. What is prob of picking 1 w and 1 h?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n + 75 = 0. Let i = n - -17. Solve -i*m - 4 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, t: 2, f: 1, n: 9}. What is prob of picking 1 n, 2 t, and 1 f?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -25. Let t = -6 - v. Suppose -3*s - 44 = -t*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89b (base 12) to base 2\nAnswer: 10011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2298, 18279, 61538, 145677, 284298, 491003, 779394?\n\"Answer: 2267*q**3 + 37*q**2 + q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -14 - -2) + 1 - (4 - (-5 - 29)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1647)\/(-7) - 22\/77. Suppose 3*m = 23 + y. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(72\/315)\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03276137 to 4 decimal places.\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(140)\/sqrt(7) - (sqrt(245) + 1)) - (sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(405)*-5) - (sqrt(605) + 2)).\nAnswer: -42*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2. Let m be z(0). Suppose n + 0*a = -2*a - 10, m = 3*a + 12. Let k = 4 + n. Sort 3, k, 5 in ascending order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*r = -65*r - 75*r + 496542. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*r**3 + r**3 - 49*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(902\/(-176))*3\/(12\/(-11)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let p(m) = -3*m**2 - 14*m - 21. Let k be p(-3). Let x be 33\/11 + 2 + k. Let l(i) = -6*i**2 + 3*i. Give x*l(b) + 3*a(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/((-9702)\/44)*-126.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 6423196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6378 divide 543533651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from tuuttuuuuttu.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1872*b + 26205. Give j(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h. Let g = -5 + 3. Let y(o) = 3*o - 2. Let m be y(g). Let w(p) = -296*p + 572*p - 290*p. Give m*x(k) - 5*w(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 250, 391, 552, 739?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/105 - 37*m**6\/120 + 118*m**5\/15 - 4*m**2 - 102. What is the third derivative of d(c) wrt c?\nAnswer: 48*c - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*z + 0*z - 34 = 0, 3*m - 6 = 3*z. What is the greatest common factor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 - h**4 + h**3\/2 - 38*h**2. Let j be g(24). Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 4 = 5*u, -4*u + 39*r - 10 = 37*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17328 and 480?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 > 4963\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 122?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6089619876 take away -41?\nAnswer: -6089619835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 38.2. Let g = s - -0.8. Suppose 2*x + 3 = 5*p, 4*x + 0 - 2 = 2*p. Which is the biggest value? (a) p (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d - 11. Let h be 1*18\/d + 25\/8. Let a = 1283\/7 + -183. What is the nearest to h in a, 5, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 26\/(-35))\/((-1059)\/3530). Put -88, f, -4\/9, 1\/4 in descending order.\nAnswer: f, 1\/4, -4\/9, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1655573, -6621927, -14899183, -26487341, -41386401?\n\"Answer: -1655451*u**2 - u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/380*1388\/28. Let y = 51\/20 - o. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*x = -5, -4*a - 1 = 3*x - 4. What is the closest to a in 0.1, 5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101110101 - 12000?\nAnswer: 1101021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329115.\nAnswer: 3, 5, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307889588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 15) to base 9\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000181771565 to seven dps.\nAnswer: 0.0001818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 15\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109388 and 1292443?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/29)\/o))\/((o*o*o**(-1\/5)\/o*o*o*o*o)\/o)*o**0*o*(o**(-2\/31)\/o)\/o*o assuming o is positive.\nAnswer: o**(-8071\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032 (base 5) to base 4.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 19*u - 21. Calculate h(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 800 divided by -4\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 349982820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737524 to the power of 1\/2, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8538.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 25. Let d be p(-14). Solve -4*c - 5 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 2*j + 4. Let a be f(2). Let k = a + 18. Let d(q) = -q + 2. What is the lowest common multiple of k and d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -109, -242, -377, -514?\n\"Answer: -n**2 - 130*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -95. Let f be (-1)\/(-3) - (k\/(-12) - -4). Let o(j) be the first derivative of -5*j**3 - j**2 + j - 90. Give o(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285339401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**4 - 2*f**3 - 240*f**2 - 2974*f + 7. Let d(y) = -y**4 - 2*y**3 + y**2 + 7. Let n(p) = -c(p) + d(p). Find the second derivative of n(u) wrt u.\nAnswer: -84*u**2 + 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*q = 5086 + 2138 - 673 + 1650 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -2, 4.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, 0, -1 in decreasing order.\nAnswer: 3, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*g**2 - 354*g**2 - 8 + 8 + 162*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6750 + -3943. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131750692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -729036, -729035, -729034?\n\"Answer: i - 729037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73, -128, -183, -238, -293?\n\"Answer: -55*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -21, -62, -115, -180?\n\"Answer: -6*t**2 - 11*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16720 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 + 18\/(-20). Let q = 0 - -0.4. What is the closest to b in 2\/17, -4, q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 8 + 3 + q + (-1 - 2*q + 1)*(-10 + 5 - 1) + q + q - 4*q.\nAnswer: 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71310 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s. Let z(l) = 25748*l + 3. What is o(z(r))?\nAnswer: 257480*r + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**3 - 3*t**2 - 15*t + 69. What are the prime factors of i(6)?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*b - b + 37 = 0, -4*l = -4*b - 32. Let v(q) = 8 - 3 - 3*q - l + 19. What is the tens digit of v(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n = 66*n + 95 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.69 times 0.5?\nAnswer: 9.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 1, -0.013, -0.4?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 183 = -5*u, 4*u + 86 = -4*y - 54. Let a = -28 - u. Calculate the greatest common divisor of a and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27735 times -30056?\nAnswer: -833603160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2233 - -10?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -12. Let o be (-105)\/10*(-3 + 1). What is the units digit of (259\/o)\/(4\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10764 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 - -114. Let o = 5 - c. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -0*w. Let s be (-4*4)\/(-4) - 4. Suppose -c + w + 1 = s. Solve 0 = c*n - 2 + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(1\/3))*w**(1\/5)*(w*w*w\/((w*w**1*w)\/w)*w*w)**(-38))**13 assuming w is positive.\nAnswer: w**(-22126\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -5. Let i(v) = v - 1. Let w(r) = r**3 + 5*r**2 - 2*r + 3. Let f(n) = 2*i(n) + w(n). Is f(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -439*h**2 - 5*h + 5. Let i(k) = -76167*k**2 - 868*k + 868. What is -868*d(p) + 5*i(p)?\nAnswer: 217*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:44 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4783276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 221021011033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(304)\/sqrt(8))\/((sqrt(980) + sqrt(20))\/sqrt(10)*5).\nAnswer: -3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 47*o + 171. Let k(d) = -2*d**2 + 2*d - 6. What is -4*k(b) - n(b)?\nAnswer: -2*b**2 + 39*b - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13225 is divided by 4076.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 360, 36, -504, -1260, -2232, -3420, -4824?\n\"Answer: -108*p**2 + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x**2 + 3 + 3 - 9*x**2 - 3 to the form t*x + m*x**2 + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -716 - -1148. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*a**2 + 2384\/11 - 1196\/11*a = 0. What is a?\nAnswer: 2, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 7) to base 15.\nAnswer: -e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 7*o. Let g be j(3). Let h = g - 527\/7. What is the common denominator of h and -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185331*d + 84*n = 185328*d + 9, 0 = -4*d + 4*n + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 50*r - 54*r. Let h be r\/(-15)*9\/6. Let w = 5 - -8. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k + 1. Let n be d(0). Suppose 269 = -4*r - 2*x - 89, -173 = 2*r - x. Let w be 16\/r + 112\/374. Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 5, -21, 0.12, 13 in ascending order.\nAnswer: -21, 0.12, 5, 13, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -8. Let h be -3*(4\/d - 0). Let x = 2 + h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22\/833 - 54302\/37485. Find the common denominator of -29\/90 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 6. Let c(p) = 7*p**2 - 15*p + 304. Let y(m) = -c(m) - 6*s(m). What is the first derivative of y(h) wrt h?\nAnswer: -14*h + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191941 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 76*w - 739. What is a(-36)?\nAnswer: 1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 97*i**2 + 48*i - 26. What is d(48)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5 - 25, 9*z + 2*a = 19. Solve -384*s = -387*s + 5*d + 8, -4*d = z*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 minutes before 9:38 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -13*c**5\/60 + 2*c**2. Let t(r) = r. Determine t(j(g)).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3591 = -4*h - 837, 0 = -4*h + 20. Suppose -m = -2*o + 222. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578159 is divided by 438?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 179160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let p be (5\/15)\/((-1)\/6). Sort 3, x, p in increasing order.\nAnswer: p, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6514*h**3 + 450*h**3 - 12809*h**3 + 1626*h**3.\nAnswer: -17247*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2180 and 27\/109.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q + 8. Let m(k) = 13*k + 9. Let a(f) = 5*m(f) - 6*o(f). Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -153. What is the highest common factor of w and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 2*p**5 + 3*p**5 + 31*p**5 + 60*p**5 - 60*p**5 + (-3*p + 3*p + p**4)*(0*p + p + 0*p).\nAnswer: 33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4182.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215814 to the power of 1\/2, to the nearest integer?\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let o(k) be the third derivative of 7*k**5\/12 + k**4\/12 - k**3\/6 + 2*k**2. Let n be o(1). Let l(q) = -q - n + 36. What is y(l(x))?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3518 + 3544. Calculate the remainder when 1270 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252.43 + -254. What is s rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -20. Suppose -a = b - 84. Let n = b - 58. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.919 + -0.081. Let x = 3\/136 - 377\/4760. Sort x, -3\/2, i, 0 in increasing order.\nAnswer: i, -3\/2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-3)\/9 - (-10)\/6. Suppose -j*g = 2*z - 1242 - 250, -3*z - 5*g = -2239. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 117. Let z be y(11). Suppose 6848 = z*o - 6060. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1352*t**6 - 26567*t**4 + 438*t**2 + 26567*t**4 wrt t?\nAnswer: -162240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - 3 - 3\/(-1). Let p be (i\/(-2))\/(3\/8). Solve -t = 4*r + 4, 4*t - 3*r = -p - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 10*x + 2. What is the third derivative of 14*a**4 - 3*a**2 - 20*a**2 + 3*a**x + 8*a**4 wrt a?\nAnswer: 528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 - 7 = 0. Suppose 0 = -i - 5*m, d*i + 16 = 5*m - 14. Let t(b) = -b - 6. Let x be t(i). Sort 2\/15, x, -0.1 in increasing order.\nAnswer: -0.1, 2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 139\/2, 0.3, -18, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -37, 38 in increasing order.\nAnswer: -37, -2, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3770 - 3769.999940656. Round s to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x - 4*f + 39, 5*f = -5*x + 30. Solve -3*a - 26 = -w, -x*a = -10*a - 3*w + 50 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t + 27*t - 8624. Suppose 7*q - 825 = t. Which is smaller: q or 144?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8348857 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*z = -181*z - 96. Let q(h) = -h**3 - 3*h**2 - 7*h + 1. Calculate the smallest common multiple of q(-5) and z.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/1*26\/156\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from {a: 2, d: 4, z: 2, s: 3, t: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 74 + 62 = 0. Suppose 65 = 8*z + t. Suppose -w - 39 = -4*l, -3*l + 2*w = w - 29. What is the remainder when l is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 + g - 3. Let h(d) = 593*d**2 + 5*d - 3354. Let n(j) = -h(j) + 7*p(j). Find the first derivative of n(x) wrt x.\nAnswer: -1284*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546 + 579 - 866 = -80*m + 93*m for m.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 7*r + 2. Let s be w(-6). Does 15 divide s\/(-12) + 728\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x + 3. Let p(c) = -13*c + 4. Calculate -7*j(f) + 5*p(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -35a5b?\nAnswer: -35a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = -7*i + 3*i, 3*i - 13 = -5*n. Let k be (6\/i)\/((-2)\/((-40)\/(-15))). Which is the closest to 3\/5? (a) k (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (14 - (32 - 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 28 = -3*p. Suppose -5*l + 11331 = p*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/(-432) + 1\/(8\/1935)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391359564 to the power of 1\/3, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ahaxqbwxhxxxxawbhxax?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122230 (base 4) in base 14?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*d = 3, 5*d = 4*y + 3 - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/14540575 and -23\/664712?\nAnswer: 116324600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*h = -376, -4*b + h - 2*h - 376 = 0. Let x = 305 - 173. Let c = x + b. Solve -2*s - 3 + c = 5*u, u = -5*s + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000619 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8579.788 to the nearest 10.\nAnswer: -8580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4833334*b - 5*k = -4833339*b + 150, 2*k = -13*b - 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*w + w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1414 + -232. Let h = 2125 - f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16774908 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -4 + -10 + 7 - -16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.0546 times 4?\nAnswer: 484.2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -29*c + 480. What is h(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-5\/4)\/i)))\/i**(1\/4))**(3\/17)\/(((i**1*i)\/i)**(-16\/3)*(i*(i**1\/i)\/i)**(-26)) assuming i is positive.\nAnswer: i**(499\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -j - 109, 0 = -2*s - 22*j + 19*j + 30. Solve 4*g + 4*b = 5*b - s, 5*g + 4*b = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/1260 - 13*h**6\/720 - 14*h**5\/15 - 158*h**2. Let b(r) be the third derivative of t(r). Determine b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2335 + 11733\/5. Let b be (-2)\/2 - (-228)\/20. Let i = b - u. Is -2 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 15*i**2 - i - 12. Let x be a(-15). Solve 2*b - 16 = 3*w - x*b, -16 = 4*w - 4*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncoocur. Give prob of sequence cr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 1. Let a(y) = -80*y**2 - 3*y + 9. Let o(c) = a(c) - 5*n(c). Find the second derivative of o(m) wrt m.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01411 + -0.08589. Let q be 4*(1 + 62\/(-60)). Which is the closest to j? (a) 4 (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30*p**2 - 5*p + 9. Let b be g(2). Let o = b + 88. Which is bigger: o or -34?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/12 + c**3\/6 + c**2\/2 + 10*c. Let m = -3 + 0. What is y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 8*b**2 + b + 11. What is w(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 981\/4 + -244. Let t(c) = c**2 + 3*c - 54. Let y be t(-9). Are h and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8110*a**5 - 44*a**3*p + 172*a*p + 2851*p wrt a?\nAnswer: -162200*a**3 - 264*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.576 - 61.2. Let d = u - 0.076. Let l = -1 + 1.1. Which is the nearest to l? (a) d (b) 1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 3\/8, 64380 in descending order.\nAnswer: 64380, 3\/8, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 - h + 27. Let m(c) = c**2 + c - 3. Let g be m(-3). Suppose -4*p = -g*p. Does 9 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249515404097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 14*b**2 - 3*b + 8. Let t(o) = -o**3 + 15*o**2 - 4*o + 8. Let z(c) = 4*m(c) - 3*t(c). Calculate the remainder when z(11) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 9, 28, 53, 84, 121, 164?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 17*w = 4*i + 3060, 5*w - i - 3045 = 0. What is the remainder when w is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**2\/2 + 311. Let b(j) = 26*j**2 - 2*j + 2. Let y(a) = 130*a**2 - 11*a + 11. Let p(i) = -11*b(i) + 2*y(i). Give s(p(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 247 + (-12 - 111) - 224\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/13))**(-19) assuming f is positive.\nAnswer: f**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Suppose -4*b + x*b = -27. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7302086503 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a minute in seconds?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 18. Calculate u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17. Which is the closest to g? (a) 0.3 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + 2. What is the tens digit of ((-44)\/8)\/(1\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/161 or 1?\nAnswer: 4\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122733.38 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 63*l = -4578. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 - -347 - ((-1 - -3) + -23)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d**3 + 13*d**2 - 17*d - 15. Let h(l) = 8*l**3 + 6*l**2 - 8*l - 7. Suppose 2*v - 3*b + 24 = 0, 2*v + 1 + 7 = -b. Determine v*q(y) + 13*h(y).\nAnswer: 2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**3 - 34*l**3 - 30*l**3)*(-2 - 1 + 0)*(4*l**2 + l**2 - 4*l**2) + (2*l**2 - 2*l**2 - 2*l**2)*(0 + l**3 + 0).\nAnswer: 157*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9528\/473 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34003490, -34003488, -34003486?\n\"Answer: 2*l - 34003492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + -3 - (-1121 - -1133).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13523 is divided by 13120.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455 - 312. Suppose -2*l + 92 = -t, 0 = -5*t - l - n - 339. Let k be ((-34)\/(-8))\/((-6)\/t). What is the highest common divisor of 51 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 + -3. Is -167 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 723 by -17.\nAnswer: -723\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-460)\/(-90) + -5). What is the greatest common divisor of g and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1027 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -0*u - 5*u. Which is the second biggest value? (a) u (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 869 = 5981. Let g be z*25*(-40)\/6*-25. Round g to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - i - 79 = -0*v, 0 = -3*i - 15. Suppose -395 = -71*z + 102. What is the derivative of -9 - 43*s**4 + z - v wrt s?\nAnswer: -172*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -77. Let p(d) = -6*d + 10*d + h*d. Let o(c) = -4*c**2. Determine o(p(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 339. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34455 or -3751?\nAnswer: -3751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -118.7, -2\/13, -2, -1\/8, 9 in ascending order.\nAnswer: -118.7, -5, -2, -2\/13, -1\/8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 divided by 5?\nAnswer: 1748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - (2 - 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**31)**27)**20)**(-20) assuming b is positive.\nAnswer: b**(-334800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3559 - 3344. Calculate the highest common divisor of 43 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15173 + -55930.\nAnswer: -55929.84827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4655*m**5\/8 - 24591*m**4\/8 + 5477*m**3 - 3641*m**2 + 654*m + 2 = 0. Calculate m.\nAnswer: -2\/665, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 1 - 6. Suppose -r = z - 5. Let h = 8 - 3. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 166*v**2 + 649*v + 159. Give a(-162).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 774 = o - 785, -2*o - t = 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(170\/20 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/84651 and -58\/417.\nAnswer: 84651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-178)\/2047 + 2\/23. Solve -f = p + 4, 2*f = -s*p - 3*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 98 = -4*i + 62, 3*p + 2*i + 110 = 0. Let d be (-3 + 1)\/((-8)\/(-148)). Is d at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/11 - 3069794*n - 16883868\/11 = 0.\nAnswer: -1\/2, 8441934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -16. Let d(l) = -2*l**2 - 6*l - 3. Give d(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 20, 55, 116, 209?\n\"Answer: m**3 + 4*m**2 - 4*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -4, -0.3, -1\/2, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/3 + 14. Let n = 7 - v. Which is the nearest to -2\/5? (a) n (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5554*l**3 - 6*l + 169512 wrt l.\nAnswer: -16662*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 9027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -34. Let s = -1 - -3. Suppose -s*p + q = 3*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*p - 0 - 1, 4*d - 4*p = 16. Suppose -10 = -d*t - 1. What is the remainder when 4 is divided by (-16)\/(-12) + 2\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-1)\/p*p))*p*p*p**(-14)*p*p*p)**(-1\/64)*(p**(-1))**(-43)*(((p\/p**1)\/p)\/p)\/p**4 assuming p is positive.\nAnswer: p**(1189\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4575 - -170282163?\nAnswer: 170282162.5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638919190?\nAnswer: 2, 5, 163891919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -10332?\nAnswer: 10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055.63 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2377 divided by -11.\nAnswer: 2377\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7738146 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30525\/22*(-14)\/(-21) and 1.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1*(3104\/(-384) + 10\/(-8))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 30. Let t be (-60)\/(-16) + q\/8. Suppose k = 4*r - 6926, t*r - 3*k = r + 5199. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.015 - 0.385. Let w = -11724.100088 + 11723.7. Let n = i - w. What is n rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18469\/(-110))\/23 + -1 and (-3)\/30*(-365)\/(-26).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:06 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12.7*2.12\nAnswer: -26.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*u - u - 8, -3*t - 8 = -u. Let v = -2 - 2. Which is the third biggest value? (a) v (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278427?\nAnswer: 3, 92809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5753.235578 rounded to the nearest ten?\nAnswer: -5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/5)*h)\/h*h\/(h**(-1\/10)\/h))**(-14))**44 assuming h is positive.\nAnswer: h**(-7084\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 84, 53, -12, -123, -292, -531?\n\"Answer: -2*x**3 + x**2 + 2*x + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4800) - (3 + sqrt(4800) + sqrt(4800)))*-2 + sqrt(4800)*4 + 3.\nAnswer: 9 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 10*j**2 - 20)*(16*j**2 - 102*j + 102*j) - j**4 + 0*j**4 - j**4.\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 50774 in decreasing order.\nAnswer: 50774, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12539 + -63192\/5. Let p = 99 + a. Is 0 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*y**4 - 121134*y**2 - 359690968*y wrt y.\nAnswer: -648*y**2 - 242268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10*l**5\/13 + 164*l**4\/13 + 206*l**3\/13 - 10888*l**2\/13 + 23672*l\/13 - 7744\/13 = 0.\nAnswer: -8, 2\/5, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 divided by 19?\nAnswer: 389\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 41 + 3*w**3 - 19.\nAnswer: 3*w**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4 - 1) + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*p - 33966, 4*p + 57169 = 3*m + 23176. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:19 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + 13*m**5\/60 - m**4\/2 + 17*m**3\/6 + 16*m**2. Calculate the remainder when o(12) is divided by 28\/5 + (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 - (-96)\/168. Suppose 2*k = 5*t + 24, 2*k + 3*t - 7*t - 20 = 0. Suppose k*o - 4*o = -6. Put n, o, 3\/5 in decreasing order.\nAnswer: o, 3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2 - 5*q - 5. Let m(s) = 77*s**2 - 66*s - 66. What is 5*m(p) - 66*y(p)?\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179.644 + -180. Let o = -7670.3743 - -7670. Let m = v - o. Round m to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - 67\/(-5). Suppose s = 5*q - 2. Let z(b) = b**2 - b - 2. What is z(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244556.17 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:43 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 11259489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*(-139)\/(973\/(-142)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (218\/(-545))\/(2*(-2)\/3240). Let r = j + -316. Solve -4*i = r - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942*z = -939*z + 6. Let v be (-36 - -37)\/(z\/(-1876)). Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74079977.\nAnswer: 74079977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 73 = -57. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -16) + (2 - 1). Suppose -9*r + 6*r = -p. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105780 divided by 2460.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from aagaxlzgaajajazzggz?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**3 + 17*d**2 + 811*d - 63. Let i(g) = -6*g**3 - 10*g**2 - 406*g + 35. Give 9*i(a) + 5*r(a).\nAnswer: a**3 - 5*a**2 + 401*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1.35 (b) -0.5 (c) -921\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1001010 (base 2) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -662*g + 6728. Let c be q(10). What is the highest common factor of 1602 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53510310409 minus -1950.3?\nAnswer: -53510308458.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*h - 73, -157 = -6*h + 2*h - 5*k. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myywmymywmwymmmmmt. What is prob of picking 2 y, 1 t, and 1 w?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -21 + 12 + -9 + (-1 - 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awz when three letters picked without replacement from awwzw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -32. Let u = -15 - r. Let h = 4 + u. Which is the third biggest value? (a) -0.5 (b) 2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369 - -347) + (0 - 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41157880*w**4 + 160787125?\nAnswer: -164631520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 164736378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-22)\/4 + (-441)\/378. Factor -g*s**2 - 484\/3 - 88\/3*s.\nAnswer: -4*(s + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 164. Let j = u - -67. Which is the smallest value? (a) -2 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b69 (base 12) to base 6.\nAnswer: 211413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:23 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**2 - 7*i - 16. Let n be t(-2). Which is greater: n or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 11*v + 51. Let n(k) = -2*k**3 - 6*k - 26. Give 11*n(r) + 6*y(r).\nAnswer: 2*r**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2212998 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 46980 = -a, a - 6*q - 46998 = -11*q. What is the highest common divisor of 68 and a?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-3)\/(-24)). Let q be (-214)\/a*8\/(-12). Let r = 36 + q. Put r, -0.1, 0.1 in increasing order.\nAnswer: -0.1, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 12*g - 168 = 0, 4*c + 0*c + 33*g - 37*g = -36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11899342 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 - 69*l**3 - 123*l**2 + 69*l + 126 = 0.\nAnswer: -21, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000062109 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.9 (b) 0 (c) 0.08 (d) -44 (e) 1\/5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 14*v**2 + 17*v - 2. Suppose -2*l + 33 = -0*l + q, 2*l + 5*q - 29 = 0. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 169, 280, 413, 574, 769?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, v: 3}. Give prob of picking 1 v and 3 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -52. Let u(j) = j**3 + 13*j**2 + 12*j + 3. Let q be u(-12). Suppose k = q*m - 0*m - 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + d + 2*d - 5*d + 2*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116195*r**4 - 39041.\nAnswer: -464780*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -92, 7, 5, -2\/3, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67450 and 1147715?\nAnswer: 218065850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*r + 72 - 12, -3*r = 5*i - 36. Suppose 4*p = -0*p + 16. Solve 0 = z + p*a - a - r, -a + 4 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 21. Suppose 0 = -j - m + 52. Suppose j*k - 869 + 77 = 0. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 18}. What is prob of sequence om?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1026 + 2368. Let i = c + -2360. Let q = -435 - i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:13 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-189)\/15)\/((-1)\/5). Let f = d - 20. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18438\/11 - (-4)\/(-22). What are the prime factors of i - (-11 - (-8 - 0))?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1488442301 and -0.7.\nAnswer: 1488442300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*-2*-15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3201*x + 182462. Calculate v(57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 187 + 22*n**2 + 17*n**2 - 2*n.\nAnswer: 39*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 125892559 a multiple of 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:24 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -10*r**5 - 65*r**4 - 145*r**3 - 110*r**2 + 20*r + 40 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 383\/300 + -2\/75. Which is the closest to 0.1? (a) m (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431647 is divided by 2803.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*m**4 - 158*m**3 - 248*m**2 - 40*m = 0. What is m?\nAnswer: -5, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 27 - (1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*((0 + sqrt(2450))*1 + -2)**2*4.\nAnswer: -11200*sqrt(2) + 196320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80113, -3, -2, 1, -91 in descending order.\nAnswer: 80113, 1, -2, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 4. Let o be d(5). Suppose 5*b = -o + 66. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 493 and 145.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-75)*-114)\/(1\/(-5)). Let k = 181 + v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 2573, 3371, 4175, 4985?\nAnswer: 5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(245)*-1.\nAnswer: -7*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3801297mg to kilograms.\nAnswer: 0.0000003801297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 15*g**3\/7 + 89421*g**2\/7 + 133241757*g\/7 - 79977249\/7 = 0.\nAnswer: -2981, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3) - (-620)\/30. Solve 0 = -5*q - x + 7, o*q - 6 = 20*q - 2*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 4) + 126 + -72.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560\/7289 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 1022608*l - 261431780416.\nAnswer: -(l - 511304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let s(h) = 5*h**2 - 5*h - 2. What is 5*m(x) - s(x)?\nAnswer: -5*x**2 + 10*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0, -11, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -3*(-2)\/6. Let p = x - -8. Calculate the remainder when 17 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -17 + 2 + -15 + -15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = w + 13. Let o be (-28)\/(-6) + (-7)\/w. Let m(t) = t. What is m(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + 4*(-1 + ((sqrt(2) + (sqrt(60)\/sqrt(3))\/sqrt(10))**2 - ((sqrt(2) + 1)*4)**2))*-6.\nAnswer: 988 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1201853 and -3?\nAnswer: 1201850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 4*m. Let r(x) = -x**3 + 96*x**2 - 40*x - 5. Calculate -r(u) + 10*z(u).\nAnswer: u**3 - 76*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295876 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*j + 2*j + 9421 - 9439, -5*j = -3*u - 14 - 36 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -608, -1071, -1536, -2003?\n\"Answer: -j**2 - 460*j - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1311 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 140 = -0*f. What is the highest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 divided by 5?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.0164257?\nAnswer: 0.0821285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-315))\/((-2)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637 divided by 1?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 4*q**2 - 2*q - 7. Let c(d) = 2*d**3 + 11*d**2 - 5*d - 53. Let g be c(-5). Calculate a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1496 and 16\/935?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/5 - 38\/15. Sort p, 5, 2 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 + 14934812*z + 14934810 = 0.\nAnswer: -7467405, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, a: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 367*c + 2527. Give u(-7).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/12 - 11*b + 5. Let v(w) = -714*w**2. What is g(v(k))?\nAnswer: 509796*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 divided by 530?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 5. Let d = q + 20. Let t = -0.134 + 0.234. Which is the biggest value? (a) d (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1349605341 rounded to 4 decimal places?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.2 (c) 2\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -680794.93231.\nAnswer: -680794.53231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-3) - (-9)\/27. Let p(a) = -4*a + 16. Calculate the remainder when p(c) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 813009 and 6?\nAnswer: 1626018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from xvlvjmlnlmvjxlmjvvvj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109441945?\nAnswer: 5, 7, 47, 89, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -4079 - 6127. Let p = 3444 + q. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = 3*p - 3*y, 0 = 4*p + 5*y + 10. Suppose 4*a = 4*z + 68, -2*z - 70 = -4*a - p*z. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let y = a - 1. Suppose h - 2*h + 15 = y. What is the remainder when 43 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 20 = 4*v - 2*h, 4*v = -4*h - 24. Let d = 21 + -15. Let u be (-2)\/v - (-69)\/d. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4)*408\/(-1071))\/(2*15\/10)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -3*h. Suppose 0 = -h*z + z + 7. Let t = z - 4. Solve t*w - 3 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6502.912kg in nanograms?\nAnswer: 6502912000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -322*s + 19. Give n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 18, 37, 62?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7158293ml in litres?\nAnswer: 0.0007158293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let n be (-1)\/k + 51\/12. Let l be (-54)\/(-8) - (-3)\/(-4). Solve 5*v + h = l, 0 = 2*v - 0*v + 2*h + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -18. Let u = n + 0. Suppose 2*l - 3*h = 0, -5*h = -u*l - 5*l. Which is smaller: l or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) + (-4 - -18). Solve 3*o = -2*o - j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722282537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309543 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -780364*f*r**2 - 6*r**2 + 13122*r wrt f?\nAnswer: -780364*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 140*z + 77. What is x(-69)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16126 and -53\/7?\nAnswer: 112882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*z = 113*z + 245. What is the remainder when z is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let f(p) = 8*p + 6. Let s(q) = -f(q) - 4*r(q). Let v be s(-1). Suppose -3*m = -5*k + 12, -3*k + v*k = -5*m + 2. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**2\/2 - 4. Let z(k) = 6*k**2. Give z(c(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -93. Let l(q) = -q**2 + 5*q + 1. Let p be l(5). Let i(n) = 0 + p - n**3 - 4*n - 6*n**2 + 0. Determine i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhpttfphfhfhhf. Give prob of picking 1 t, 1 r, and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 + 17496*t**2 + 6562632*t + 629273920 = 0 for t.\nAnswer: -8360, -194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -409*v. Let z(s) be the third derivative of s**5\/60 + 30*s**2 - 1. Give f(z(l)).\nAnswer: -409*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227\/42 + -110\/21. Sort q, 0.5, -3\/7, -5 in decreasing order.\nAnswer: 0.5, q, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2028432 divided by 6\nAnswer: -338072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(143)*-2*4)\/(sqrt(110)\/(sqrt(10) + sqrt(90))*3).\nAnswer: 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)*f**4)**(-3\/19)*(f**(2\/3))**(2\/85)\/(f*f*f*(f*f**(-1)\/f)\/f*f\/(f\/((f*f**2)\/f))) assuming f is positive.\nAnswer: f**(-123398\/33915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35289826 divided by 2.\nAnswer: 17644913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 37 + 13 = 0. Let y = x - 8. Solve 25 = -k - 4*q, -5*k = y*q + q + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 25.1. Let m = s + -0.6. Let k = -1.5 - m. What is the third smallest value in -1\/4, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*z = 193*z - 13756 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 3*o**3 - 3 + 1 as v*o + l*o**3 + c + u*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:08 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*o - 251, -3*o - 5*k = -411 + 27. Suppose 3*i = 2 + o. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348540 is divided by 31685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9492 = -175*y + 801*y + 6784 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120525652 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v. Let z(l) = -3757*l**2. Give z(t(f)).\nAnswer: -60112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.125 + -1.125. Which is the third smallest value? (a) j (b) 0 (c) 120.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*u + 36, 113*u - 109*u - 24 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308*n**2 + 21*n**2 - 168*n**2 + 110*n**2)*((0 + n + 0)*(-n - n + n) - n**2 + n**2 - 2*n**2 + n**2 - 3*n + 3*n).\nAnswer: -542*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2 - 2 - y. Let q(m) = -37 - 23432*m + 37 + 23258*m. Calculate l(q(c)).\nAnswer: 174*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1048666*o**4 + 1203829*o?\nAnswer: -12583992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016577 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12116253 (base 7) in base 16?\nAnswer: -107bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*(28\/(-12))\/7*(-6)\/(-10)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(32\/(-76)))\/(9\/(-612)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28316, -78211, -128106, -178001?\nAnswer: -227896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(320)\/sqrt(72))\/(-1*sqrt(8)))\/(((sqrt(144) + sqrt(144)*-1)*-1 + sqrt(144))*-4).\nAnswer: -3 + sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5436540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (0 - (-40)\/25). What is the third derivative of 91 - 33*k**t + 16*k**3 - 91 + 102*k**3 wrt k?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 225\/10*(-5 - -1). Let x = 78 + g. Let d be 6\/(-2) - (x\/4)\/3. Which is the closest to d? (a) -1\/6 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 2*h - 2. Let w be m(1). Let z be 11 - (2 - 1)*2. Solve w*i = 3*i - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 2669607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f = -709*f - 400*f + 10380 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 27, -5, -91, -249?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m - 70 = 75*m. Solve 0 = 3*w - 12, -m - 16 = -2*p - 4*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.167*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 5*i**4\/24 + 995*i**3\/12 + 975*i**2 - 1905*i. Determine c, given that l(c) = 0.\nAnswer: -195, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798*t = 809*t - 7403. What is the remainder when t is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/81? (a) -2\/3 (b) -2\/15 (c) 712 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4.07\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17985168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112183 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let n be ((-1)\/h)\/((-1)\/2). Solve -1 = -2*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 779578468 and 5?\nAnswer: 3897892340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**2 + 2\/3*m**3 + 2*m + 0. Differentiate p(s) with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o**3 - o**2 - 4*o + 1. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315, 630, 943, 1254, 1563, 1870?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by -2\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -1000001011101101001?\nAnswer: -1000001011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298686829.9999981 - 298686808. Let l = 22 - v. Round l to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16969733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1 - (-6)\/2. Let b be -6*x\/(-8)*-6. What is the units digit of b*(-2 + (-3)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*l + 33 = 0, 3*l - 32 + 15 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q - 36*q - 41*q + 138*q + 1 - 33*q. Let j(t) = -3*t**3 + 1. Let k be j(-1). Let h(b) = 3*b + 7. What is k*s(l) - h(l)?\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -209679.1 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let m(i) be the first derivative of i**4\/12 + 7*i**3\/6 + 9*i**2\/2 + 3*i - 36. Let o(u) be the first derivative of m(u). Determine o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -82*k + 277. Let y be z(3). What is the highest common factor of y and 3503?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*k + 5 + 47, -3*k + 26 = 2*y. Suppose -5 = -u + y. Calculate the lowest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 219061356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:29 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-231)\/(-15) + (-6)\/15 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*t = 2*m + 668*t + 48, -5*m - 222 = -38*t for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 17*s**2 - 4*s - 2. What is the remainder when w(8) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*f + 70, -502*f + 19 = -498*f + 5*d. Suppose -2*m - w = -8, 2*m + 5*w = 15 + 1. Solve -40 = m*q - f*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 11) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + 2. Let f(x) = -x**3 + 2*x**2 + x + 1. Let s be f(v). Suppose -3*o + 3 = -a, 2 + 7 = 4*o - s*a. Solve o*b + b = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136310 by 13631.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12951491 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: Is 212165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-12)*(-376)\/329.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 1. Let o be v(1). Suppose o*l + l = 56. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 22*q**2 - 23*q - 223. What is l(24)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 568, 2\/7, -0.5, -1\/13, 3.\nAnswer: -72, -0.5, -1\/13, 2\/7, 3, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 6*y + 10*y. What is the highest common factor of y and 448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51215*p + 16 - 51218*p - 25.\nAnswer: -3*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d**2 - 17*d + 39. What is m(3)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106104653 + 5?\nAnswer: 106104661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 3, r: 3, y: 9, s: 1, a: 1}. What is prob of picking 1 e, 1 y, and 1 r?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2306*l + 43797. Let g(a) = -461*a + 8767. Let i(r) = 3*b(r) - 14*g(r). Differentiate i(c) with respect to c.\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593.0733 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-64)*4)\/((-10)\/((-2880)\/(-189))).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*b - 63 - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 14. Let x = -13.4 - g. What is the nearest to 2 in 2\/5, -3\/4, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {r: 3, x: 3, d: 3, g: 5, a: 2, i: 3}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -990979?\nAnswer: -990972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427112371.\nAnswer: 7, 8716579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020111210 + -11?\nAnswer: -11020111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*d - 4*t - 484, -2*t + 33 + 10 = 39 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:32 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 12123231001?\nAnswer: 12123231003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26777\/36 + -1489\/2. Calculate the common denominator of j and 125\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 16\/24 + (16 - 11))*6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 17*y + 15*y - 24, -5*h - 4*y = -12. Solve 20 = h*i - z, 2*z = i - 0*z - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.991 + 0.009. Which is smaller: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 7*z**2 + 4. Let a = -8 + 9. Let v(d) = 5*d**2 + 0 - a + 6 + d**3 - 2. Give 5*p(i) - 7*v(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 384875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/9)\/(l*l**(4\/9)) assuming l is positive.\nAnswer: l**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -3 (c) -2 (d) 0.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by 1.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 + 409. Sort m, -3.1, -2 in decreasing order.\nAnswer: m, -2, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = -3. Suppose -5*b = v, -5*b + 4*b + 22 = q. Calculate the greatest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -471426, -942783, -1414142, -1885503, -2356866?\n\"Answer: -p**2 - 471354*p - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2. Suppose 0 = 2*r - 6*t + 5*t - 9, -2*r = t - 3. Give p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14904828 divided by -26427?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + -7)*(2 + -1). Let g(r) = -r**3 - 40*r**2 + 177*r + 60. Let c be g(-44). What is the greatest common divisor of s and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6684.99996471 - 6685. What is d rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j + 9. Let g be x(7). Suppose 0 = 4*w - g*w - 4. What is the third derivative of 2*c**3 - 9*c**w - 2*c**3 - 3*c**3 - 5*c**3 wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 14355488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88308576 + -56870702867\/644. Let q = o + -708\/23. Calculate the common denominator of q and -103\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 11 - (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*1*(-4)\/12. Suppose -4*m + p + 22 = m, t*p = -m + 20. Suppose -74 = -5*j + 4*i, j = -i - m + 18. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 27 + 35. Suppose 405 = 4*p + 2*w - 1433, -4*w = -s*p + 1808. List the prime factors of p.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:30 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 26256550?\nAnswer: -26256555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 5311\/37?\nAnswer: 5311\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, 1 q, and 1 d when four letters picked without replacement from {a: 1, h: 1, q: 4, r: 6, d: 1}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -66*y. Let j(i) = 13*i. Let a(u) = 24*j(u) + 5*v(u). What is the least common multiple of 6 and a(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805.5132 litres to millilitres.\nAnswer: 805513.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8159231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1312 + 1337. Solve -8 = 29*y - i*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4018 and 1577702?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3921, 3917, 3911, 3903, 3893, 3881, 3867?\nAnswer: 3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15290 divided by -3058?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504020 and 176407?\nAnswer: 3528140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 + 9*p**4 - 5*p**4)*(p + 1 - 1) + p**5 - p**5 - 2*p**5.\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170 - -162) + -7 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 648385, 648381, 648375, 648367, 648357, 648345?\n\"Answer: -s**2 - s + 648387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 7. Let j = -12 - l. Suppose 2*a - 4*a = -j. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (13 - 4 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 + -147)\/(-2*1) - 2. What is the highest common divisor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354574 to the power of 1\/2, to the nearest integer?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) 3 (c) 4 (d) -4.6 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*b*k**3 + 2*b*k**2 + 4*k**3 - 203*k**2 wrt k.\nAnswer: -162*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 29*b - 10. Let d be x(-15). Suppose -4*y - 2*l + 3*l + 1156 = 0, -d*y - 4*l + 1445 = 0. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3791, -4966, -6881, -9524, -12883, -16946?\nAnswer: -21701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22651734 a multiple of 3013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 7}. Give prob of sequence xa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*51\/((-1428)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -101.1. Sort -27, 4, d in decreasing order.\nAnswer: 4, d, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2626733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/670 and 1\/1072?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 804860 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/7 - 73\/70. Let w(f) be the first derivative of 0*f + 2 + 1\/2*f**2 + 0*f**4 + 1\/2*f**3 - z*f**5. Factor w(n).\nAnswer: -n*(n - 2)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (-17)\/(-3))*(-60)\/(-8). Suppose 1910 = -5*j - h*c, 7*j = 12*j - 5*c + 1880. What is j rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1801133341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*f = 120*f + 4*r - 29, 2*f + 3*r - 43 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -88. Let g = -51 - q. Which is the second biggest value? (a) 3 (b) -0.1 (c) -4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047985158?\nAnswer: 2, 1023992579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7317 - -7317. Let m(g) be the first derivative of 29\/3*g**3 + c*g + 9 - 10*g**2. What is the second derivative of m(k) wrt k?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 0.4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - -4377.80972609\nAnswer: 4378.70972609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.068 + -5.368. Let q = -0.3 - h. Let j = 9 - q. Which is the second biggest value? (a) -0.3 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*c - 335 + 335 in the form r*c + g and give r.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwws when four letters picked without replacement from lwwwqftlswswwfqwwww?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152112843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -v, -4*v + 2*c - 38 = -8*v. Solve 0 = -5*u + 5*j + 20, -2*u + 1 = 2*j + v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38468, 76957, 115450, 153947, 192448, 230953, 269462?\nAnswer: 307975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314554 - 1776871 + 367*h**2 - 366*h**2.\nAnswer: h**2 - 2091425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205860031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/(f**7\/f))**(-2\/13)*(f\/f**0*f)**(-19\/2)\/(f\/(f*f**(-3\/10))*f**(2\/15)) assuming f is positive.\nAnswer: f**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 137 - r - 5*r - 131. What is k(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -4) + 0 + 2. Suppose -5*u + 5 + 5 = 0. Solve n = u*c - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64539 divided by 6\nAnswer: 21513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 - 0.34039. What is d rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1044 and -113\/106896?\nAnswer: 9299952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -47.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k)**(-1\/2)*k**(-8)\/k*(k**(-4)\/k)\/k*(((k*k**(2\/19)\/k)\/k)**(-43))**(7\/2) assuming k is positive.\nAnswer: k**(4547\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4950 and 1433520?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -756 - -2737. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 5, u: 2, k: 5, q: 2, a: 1}. What is prob of picking 2 k?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96742, 96739, 96736, 96733, 96730, 96727?\nAnswer: 96724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/7 + 3996*b**3\/7 - 96672*b**2\/7 + 775424*b\/7 - 2070528\/7 = 0.\nAnswer: -2022, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -471*w**3 - w**2 - 2*w - 2. Give d(-1).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 718880 and -0.2.\nAnswer: -143776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10522*j + 42104. Determine r(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000226081433 to six dps.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 9 - 15 + 37 + 2*g**2.\nAnswer: 2*g**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3154095 days to nanoseconds.\nAnswer: 27251380800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7593 divided by 5\nAnswer: -7593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838070 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*n = -1607 + 5684 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hya when three letters picked without replacement from ahyyyyhaahhyh.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oookykookookkoooo. What is prob of sequence ok?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1511 and 467036501?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 12 - 3)*(-7*a**2 + 10*a - a - 5*a**2) + (-4*a + 4*a - a)*(5 - 4 - 3)*(2 - 2 + 2*a) as w + r*a + c*a**2 and give r.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 0, -1.37, -704?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3960*j**4 + 172062*j**2 wrt j?\nAnswer: 95040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 309, 466, 623, 780?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - n - 8. Let x(s) = 2*s - 2. Let y be x(2). Let p(o) = 2*o + 2. Let v be p(y). Let m(z) = 0 - 1 + 0. Calculate v*m(w) - g(w).\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121.5 - 106. Let p = -31 + 16. Let x = d + p. Put 3, x, 0.3 in ascending order.\nAnswer: 0.3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/25 - 17\/25. Suppose -16*l = -6*l - 2080. Let o be 2\/(-4) + l\/288. What is the second biggest value in 0.4, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(171) - (sqrt(171) + (1 + sqrt(171))**2)*4) + -1*(sqrt(171) - (-2 + sqrt(171))).\nAnswer: -699 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*b - 3403611 + 3405911 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 151 (b) -0.4 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 76018.\nAnswer: -3116738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -4*y, 2*y + 12 = x + 3*x. Suppose 17*k - 14*k = 0. Solve k = 3*n + n - y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 17\/30*d**5 + d**2 + 0*d**4 + 113\/3*d**3 + 0*d + 62. What is the derivative of b(a) wrt a?\nAnswer: 68*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 5.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 2*h. Let d = -26952 - -269831\/10. Let w = 63\/2 - d. Which is the nearest to w? (a) 0.4 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3729 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 9*j**2 - 18*j + 5. Let l be n(-5). Suppose 3*r - l = 3*a, 60 = -a + 65. Calculate the remainder when 104 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**2 - 31*t + 31*t - 5*t**2 + 4*t**2 - t**2 + (-1 + 1 - 2)*(0*t**2 + 3*t**2 - t**2) + 4 - t**2 - 4 to the form s*t**2 + m + k*t and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/30 and -107\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - b = 185, -4*b + 485 = 5*n - 2*b. Suppose n - 752 = -9*f. What is the remainder when f is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 12*l**2 + 3*l + 28. Let m be b(-12). What is the remainder when 87 is divided by (m - -4 - -9)\/((-2)\/(-18))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)*(-11 + 16). Let x be (-4)\/(-6) + 0 - 0. Which is the second biggest value? (a) g (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d - 52*d - 54*d - 45*d + 16*d.\nAnswer: -116*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(1\/16)\/(r**0\/r)**(-10) assuming r is positive.\nAnswer: r**(-239\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {m: 5, e: 7, n: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*u*v**2 + 10*u - 64*v**3 - 37 wrt v.\nAnswer: 10*u*v - 192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*i**3 - 4692*i**3 - 2296*i**3 + 754*i**3 + 178 - 178.\nAnswer: -5792*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1.6, -0.5, -2.89?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 158*o**4 - 175*o**4 - o + (0*o - o - o)*(-2*o**3 + o**3 + 0*o**3) - 3 + 4*o**4 + 3.\nAnswer: -11*o**4 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -452, -455, -460, -467?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366 - -365. Which is greater: o or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 29) + 24 + (0 + 0 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 257 + 3 = 21*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -146, -164, -194, -242, -314, -416, -554?\n\"Answer: -g**3 - 11*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 7. Let r be u(-1). Suppose 5*g + k = 539, r = 7*g - 10*g - 4*k + 320. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-3645*z**2 - 8126 + 8126) + (-3*z - 3*z + 0*z)*(-2*z - 3*z + 4*z) to the form w*z**2 + r*z + n and give w.\nAnswer: 3651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 495376 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14*3\/10*230*202\/(-9292)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(3\/7 + -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 3*x - 14, -3*x = -6. Suppose 4*m - 3*i + 19 = o*m, -i = -1. Solve -2*w - 4*h - 2 = -0*w, 3 = -3*w - m*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -4, 22182, -3, -2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.52067ng to milligrams.\nAnswer: 0.00000052067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -29. Let g be 5 + (-5 - 6\/(-3)). Let c(r) = -r**3 + 2*r**2 + 3*r - 2. Let d be c(g). Solve 0 = 6*u - m*u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2708\nAnswer: 1\/2708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 25*l**4\/8 + 11*l**3 - l**2\/2 + 3*l - 48. Let c(o) be the second derivative of w(o). Differentiate c(n) with respect to n.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecemy. Give prob of sequence cyem.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210 or 26455\/126?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 23877*a + 23920*a - 2 + 0.\nAnswer: 43*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/31 or 27927?\nAnswer: 27927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Which is the third biggest value? (a) 0.5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4225*v**3 + 176670*v**2 - 32724*v + 1512 = 0. What is v?\nAnswer: -42, 6\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 2, -4, -1.2, 0.04, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -146, -143, -140?\n\"Answer: 3*r - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -45. Let r = -17 + 12. Let l be 22\/66*-2 + (-1)\/3. Put q, l, 2, r in descending order.\nAnswer: q, 2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18111968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1324371 * 47\nAnswer: 62245437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -936, -32 in increasing order.\nAnswer: -936, -32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10212 and -91\/5570646.\nAnswer: 11141292","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7800*w + 1826*w - 16 - 8044*w + 16 to n*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/(-225)*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/840 + w**5\/10 - 11*w**3\/3 + 10*w. Let c(m) be the second derivative of k(m). Find the second derivative of c(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 4*p - 1. Let n be q(-3). Let i = n - 24. Let k be (4\/i)\/((-6)\/10). Do 2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 - (-1305777)\/79200 - (-14)\/(-4) and 49\/975?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88841407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/15)\/t)\/t*t)\/(t\/(t*t*t**(4\/7)*t*t)))**4)**20 assuming t is positive.\nAnswer: t**(4096\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1984322828 to the nearest integer?\nAnswer: 44546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 274*s - 2. Let f(a) = -365209*a. What is t(f(u))?\nAnswer: -100067266*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**11*t)\/t**(-9\/5))\/(t**12*t**(-1\/17)) assuming t is positive.\nAnswer: t**(158\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 67*s + 2. Let u(a) be the first derivative of -5*a**2 + 4892. Determine k(u(v)).\nAnswer: -670*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46.846 - -84\nAnswer: 37.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 3*h**2 - 32*h - 14. Give i(6).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5)*(-6)\/2. Suppose -2*w + 0*w = 0. Is w greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26078?\nAnswer: 2, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987722499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f + 2*d, 38*f = 36*f - d + 1. Solve 10*v - 6*v = -a + 21, -11 = -a - f*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 0*h**2 + 5*h**2 + 0*h**2 - 2*h**2 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 114, 5, -12, -1\/10, 16?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51481939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1640002 (base 8) to base 10\nAnswer: -475138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 8*c**2 + 2*c - 17. Let a be h(-11). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:58 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 3*q**2 + 3*q + 6*q**2 + 1 + 3*q. Does 9 divide p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 3.31 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 614*d**2\/15 + 5253374*d\/15 - 5704.\nAnswer: 2*(d + 8556)*(307*d - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*o + 2*o. Let l be (3 + 0)*(o + -18). Let y = l + 7. What is the remainder when 13 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729153353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67534 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -4*z + 42. Let s = -5 + -5. Let h = z - s. What is the lowest common multiple of h and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13974, -14259, -14578, -14949, -15390?\nAnswer: -15919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 1190*g + 50470. Calculate w(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -51.3. Which is the nearest to 0.1? (a) 1 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 164\/9. Let d = -0.1 + -2.9. Let a = d + 3.3. Put -1, r, a in descending order.\nAnswer: a, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12350)\/(-910) + (-3 - 96\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 32*a**2 + 540*a - 6715. Calculate y(14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.690811 decades to months.\nAnswer: 802.89732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 188759, 377348, 565937, 754526, 943115?\n\"Answer: 188589*t + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6522 - -6521.9549. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*z + 20 = 5, 19 = 4*s - z. Let y(q) = q**2 - 5*q + 1. Let n be y(0). Put -3, n, -1, s in descending order.\nAnswer: s, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 5*s = -11296. Suppose 23*d + s - 62 = 0. Does d = -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1864 - 0?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 450*a - 48*a + 643*a + 400*a - 241*a. Let m(k) = -2*k. Determine m(n(q)).\nAnswer: -2408*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -208*t**2 + 446*t + 2166. Determine g(-5).\nAnswer: -5264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 - 0.2. Let f = 4 - j. Let p = 7 + -7.3. Which is the closest to -1? (a) 5 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.999948 + -26. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.5414 to 1 decimal place.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 31. Let f = -5338879 + 5338854.99983. Let m = x - f. Round m to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -24160518.\nAnswer: -72481554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*g**3 + 17*a**2 + 133*g**5 + g**2 + 42*g wrt g.\nAnswer: -6*a**2*g + 2660*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 - m + 8. Let l be p(8). Let k be (l\/(-3))\/((-3)\/(-36)). Suppose 0 = -2*r - 4*c + 646, -4*r + 0*r - 2*c = -k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/259*(630\/(-60) + 14).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znzc when four letters picked without replacement from {c: 8, h: 3, n: 1, d: 1, z: 4}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.10689 rounded to one decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 11*y - 2. Let f(q) = -q**2 + 1. Let x(t) = -b(t) + 3*f(t). Let z be x(11). Solve -4*m = 8, -z*r - 2 = -2*m + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c + 56. Let i be k(2). What is the highest common divisor of 1053 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3*(-2)\/(-6))\/(-3)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 467810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1362680009 rounded to 3 dps?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27\/3 - (3212\/231 + 4 - 9)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.024 or 14\/9?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:23 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2 - 720*g - 1513 wrt g.\nAnswer: -4*g - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + n - n)*(-3*n**3 + 0*n**2 - 2*n**3 + 2*n**2) to the form r*n**3 + q + j*n**2 + g*n + z*n**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029426 to 5 decimal places.\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -2*z + 3*f, 5*z = -4*f - 61 - 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -30*j**2 + 14 - 79*j + 99*j - 10 + 13 + 0*j**3 + 2*j**3. What is the units digit of h(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8080 - 8079.983245. Round n to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 176\/(-32))\/((-3)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 254 + 31. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1554*n - 4661. Let u be a(-3). What is j in -u + 1\/4*j**2 + 3\/4*j = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 4*a, 1 = m - 2*a - 0. Suppose 0 = -m*c - 265 + 1666. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16536.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-18)\/(-720)*25*2\/(-5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178177669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -31 - 13 - 258\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100 - -10100000100011?\nAnswer: 10100101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 12*d - 5. Let f be s(-11). Let h = f - -22. Let v = 15 - h. Solve 3*i = v - 0, 4*a + 2*i = 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*11.05\nAnswer: 254.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 22011320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(28) + -1*sqrt(28) + 1 + (sqrt(28)*2)**2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 14. Calculate p(11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = 3*y, -y + 3*t - 2 + 14 = 0. Suppose -p = p + y. Let o(n) = n**3 + 2*n**2 - n. Determine o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/3)\/y*y**(-10) assuming y is positive.\nAnswer: y**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/155349 and -7\/2788.\nAnswer: 10563732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((-10)\/6 - -1). Suppose 7*f = 2*f - 4*o + 36, 2*o - 4 = f. What is the greatest common divisor of f and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = -3*g - z + 1, 7*z = -3*g + 67*z + 2*z - 130 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 80128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 17*n. Let z(s) = -50*s + 136. Give q(z(c)).\nAnswer: -850*c + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 5. Let o(h) = -h**3 - 7*h**2 + h + 9. Let p be o(m). Which is the third biggest value? (a) p (b) -0.02 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/32)\/((-3)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/10*(-2)\/(-13). Suppose -4*t + 7*t - 111 = 0. Let z = -37 + t. Is w less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132313 is divided by 18870.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2945824.\nAnswer: 2, 7, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*x + 38, 18 = a - 2*x + 2. Suppose -10*q + 7*q = -a. Let r be 1 + 4\/(q - 1). Solve -r*m + 13 = -12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 9*v - 22. Let y be a(11). Suppose -4*d = o - 7 - 0, y = 5*d + 5*o - 5. Solve -2*i = d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484381.\nAnswer: 17, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k**2 - 7*k - 7. Let c(i) = 9*i**2 - 5*i - 5. Let s(g) = -7*c(g) + 5*u(g). Let h(r) = r. Determine h(s(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 + 260*o**4 + 30684*o**3 - 718574437*o**2.\nAnswer: 60*o**2 + 6240*o + 184104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-3) + (-2)\/(-6). Suppose -k - 4 = -5*s, 4*k - 7 = l*s + 7. Let u(t) = t**3 - 3*t**2 + 7. Is u(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 - 52*r**2 + 920*r - 8992. Give s(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from hhqfhhhhhhhfhfffff.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 605547792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 divided by -9?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022375535 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.119 - 152. Let x = r - -1.881. Which is the second smallest value? (a) x (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l - 3. Let w(o) = -2*o**2 - 12*o - 6. Let g(j) = -7*p(j) + 4*w(j). Let y be g(-4). Are 5 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*-3)\/(sqrt(490) - (sqrt(490) - (sqrt(490) - (sqrt(490) - (sqrt(490) + (sqrt(490) - (sqrt(490) + sqrt(490)*2))))))).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 47*r**2 + 6 - 5 to s*r**2 + o + k*r and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1084 + 1088. Solve -s*b + 2*o = 0, -4*b - 2*o = -5*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*q + 284 = 0, q - 198 - 349 = 4*h. Suppose -f + 6 = -16. Is 6 a factor of (-2)\/11 - h\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 14) to base 15.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.1418 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 37 = -101. Calculate the highest common factor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.02 + -0.08. Let s = g - -14.9. Are s and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19)*o)**8*(o\/((o\/(o\/(o*o*o**(11\/2))))\/o))**(-2\/13) assuming o is positive.\nAnswer: o**(-1861\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*z - 5, -2*z + o + 3 = -3*z. Find the first derivative of -6*w**2 + 6*w**z + 2 + w**2 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + (-136)\/32)*4. Calculate the remainder when ((-23544)\/144)\/(z\/(-8)) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.014 - -47.586. Let h = 50 - v. What is the smallest value in 2\/9, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3691, -3709, -3765, -3877, -4063, -4341, -4729?\nAnswer: -5245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 + 102. Let d = v + 71. Suppose 5*h - 12 = d*h. Solve -2*m - h*o - 12 = 0, -3*m - 2*o = -0 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 1 + (sqrt(7) + sqrt(252)*-1 - (sqrt(7) + 2 - sqrt(7))*4))**2.\nAnswer: 70*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 66*a**2 - 57*a + 126 = 0. Calculate a.\nAnswer: -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*y + 3*y - 15, 2*y - 10 = 0. Suppose 2*a + 1 + 7 = 4*s, 5*a - 13 = -s. What is the remainder when s is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 3 - 3)*(1 + 16 - 7) + 6*s - 2*s + 6*s as j*s + t and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0266 and -705.548.\nAnswer: 18.7675768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let y(h) = -80*h**2. Calculate v(y(a)).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 906*f**3 - 25608*f**2 - 153622*f - 128919 = 0. Calculate f.\nAnswer: -877, -21, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 + -5. Let y = -42174 - -84347\/2. Which is the nearest to y? (a) -3 (b) 5 (c) 5\/6 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -8758 - 1862. Calculate the least common multiple of 11 and h.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 0 = 3*o - r, 6 = 4*o + 3*r. Suppose p = -o*l + 20, 4*l + 2*p - 45 = -3*p. Differentiate 6 - 6*h**2 + 3 - l with respect to h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*f - 11. Let q be 28\/f - (-2)\/(-13). Let k = -0.9 - -1.2. Which is the second smallest value? (a) q (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/(-2)*406\/58?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*y + 387 + 135 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131030 = 2*g - 513036. Let z be g - 5 - (-3 - -1). Round z to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/21)\/(5\/86) + 6)\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6908 and -77\/99944.\nAnswer: 172603288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -1632, -2439, -3248, -4059?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74098*p = -73603*p - 10395 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 0.5 (c) -48\/7 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(30)\/(sqrt(30)\/sqrt(3)))*-2)**2 + -4 + -1 + -1*sqrt(432)*-5.\nAnswer: -5 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2 and -59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-455)\/(-28))\/(-5) + 4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -848159 + 1344282. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 1)*(-b**2 - b**2 + b**2) + b**3 - 6*b**2 + 6*b**2 + (-b**2 + b - b)*(-b + 3*b - 4*b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 - 6*x**2 + 508*x. Let h(s) = -11*s**3 - 14*s**2 + 1017*s. Give 4*h(o) - 9*p(o).\nAnswer: o**3 - 2*o**2 - 504*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2\/11, -0.679, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s**(-10)\/s*s)\/s))**(-29)\/(s**(2\/37))**9 assuming s is positive.\nAnswer: s**(-11821\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 3, b: 4, q: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13323.39m in centimeters?\nAnswer: 1332339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((22 - 21) + (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 16532862.\nAnswer: 5\/16532862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*x + 40*x - 14312 + 2276 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3911, -3908, -3903, -3896, -3887, -3876, -3863?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -6 + -7 + 9 - 17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38322\/(-42) + ((-100)\/(-35))\/(-5). Let z = d - -925. Calculate the highest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u + 5*f, 2*f + 10 = -3*u + 6*u. Put 10, -3, u, -5\/4 in descending order.\nAnswer: 10, u, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/5 - 548166*u**2\/5 + 3289024*u\/5 - 4385376\/5 = 0 for u.\nAnswer: -548172, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/9 + 2426*q**2 + 451400*q = 0.\nAnswer: -183, 0, 11100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.26 to one dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0.08, -30613?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -177, 235, 1071?\nAnswer: 2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/19, -2\/11, 716?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3552 and 322970928.\nAnswer: 645941856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2\/5 - 1184*y\/5 - 394\/5.\nAnswer: -2*(y + 197)*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 4:35 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 151 - 164 = 0. What is the nearest to -5 in -4, 28, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.2. Let x(p) = -p**3 - 11*p**2 + 22*p - 41. Let f be x(-13). What is the second smallest value in f, -2, 3\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3414427, -3414431, -3414435, -3414439?\n\"Answer: -4*y - 3414423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2220 - -625. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1350 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31248 is divided by 70?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(28 + 29952\/(-1080))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*x + 64 = 0, -1260617*f - 3*x + 44 = -1260607*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1075*p - 1069*p - 36 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(((-180)\/(-64))\/(-9)))\/((-76)\/190)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43257 + 43769 = -43*z - 4*c, z + 9 = -3*c for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -i + 5*y, -3*i - 4 = -i + 2*y. Suppose 0 = -5*a - 15, 3*u + i*a + a = -657. Let f = -449\/2 - u. Find the common denominator of f and 91\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3668)\/3537)\/((-2)\/9) - 5\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -10. Let l(b) be the second derivative of 1\/2*b**3 - 2 - 4*b - 2*b**2. Determine l(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 0. Suppose 0 = -2*i - 4*s - 2 - 2, -i - 4 = 4*s. Let p be (i + 0)\/(1 - -1). Is t != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -v + 3, 0 = -3*i - 2*v + 7 + 1. Let p = -93 - -135. Suppose 0 = m - 4*l - p, i*m - 2*l + 52 = 136. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7461.9 from -7.\nAnswer: 7454.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*-3 + sqrt(539) + -5 + sqrt(539) + sqrt(539) - ((1 + sqrt(539))*-6)**2.\nAnswer: -19445 - 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2085 - -2085.5. What is the nearest to -0.3 in -24, 2\/13, g, 1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5\/5 - 8*z**4 + 116*z**3\/5 - 128*z**2\/5 + 48*z\/5 = 0. What is z?\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (10 - (10 + -2 + (8 - 8)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 3858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -40, -5 in ascending order.\nAnswer: -40, -5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 - 3*g**4 + 2*g**4)*(-3 + 1 + 0) + 2*g - 2*g + g**4 + (-g**3 + g**3 + 2*g**3)*(5*g - 4*g - 3*g).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*q = -59, 3*q + 28 = -36*f + 35*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:28 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 45 + -80 + 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - 85. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 2, f: 4, m: 6, z: 3}. What is prob of picking 1 f and 1 m?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 878427744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 94 = 2*m, -10 = -4*m + 2*y + 182. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2850 is divided by 489.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3370\/3 + 1124. Determine h so that -b - 2\/3*h**2 - 4\/3*h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 18*h + 110 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 9:41 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 13*m + 21. Let h(v) = 2*v**2 - 6*v + 10. Let k(a) = 13*h(a) - 6*z(a). Let w(t) be the first derivative of t**3\/3 - 86370. What is k(w(q))?\nAnswer: 8*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.57 in 105, 0, -2, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -212*b**2 - 1286*b - 1721. Calculate t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/222 - 84444\/(-2174712).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2068 and 741284.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 2:04 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260995801 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -3)*(18 - 2). What is the greatest common factor of 80 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 113*y - 797. Determine h(6).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8, -3*r + r + 8 = 3*l. What is the second derivative of -r - f**3 - 1 + 3*f + 2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3590\/(-45) + (-6)\/27. Let z = j - -135. Is (4 - (-18)\/(-5))*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115744933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (0 - (-3)\/2)*(-24500)\/375. Which is smaller: i or 109?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20550892 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 139.92 and 6299?\nAnswer: 6159.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14499 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 39*p - 5. Let a(y) = 19*y - 2. Let v(k) = -10*a(k) + 4*l(k). Let r(g) = -11*g - 15. Let h(d) = -20*d - 27. Let s(j) = 5*h(j) - 9*r(j). Give s(v(f)).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l - 317 - 24*l + 317 + 31*l**3.\nAnswer: 31*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -224, -372, -556, -788, -1080?\n\"Answer: -2*d**3 - 110*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117125781?\nAnswer: 3, 31, 379, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/24))**(-33)\/(r**(-2\/63)*r\/(r\/(r*r\/r**12))) assuming r is positive.\nAnswer: r**(4363\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12839 greater than -12839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 427.3376 - 427. Let y = i - 0.0106. Let b = y + 0.018. Round b to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 0.08, -1\/3, 56 in ascending order.\nAnswer: -42, -1\/3, 0.08, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y**6 - 9*y**5 + 9*y**2 + 283?\nAnswer: 1200*y**3 - 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Let b be (-1 - -189) + 1 + 1. Let f be ((-4)\/b)\/((-7)\/(-35)). What is the nearest to 1 in j, f, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.0117 months to decades.\nAnswer: 1.9000975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1ad?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c**2 - 13*c**2 - 31*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -292.5, -2\/11, 0.3, 76\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*t + 480*t = -553 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -4.8. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -20*d**2 - 14*d - 53. Let k be w(-4). Let g = 458 + k. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 40 = -z, -x + z - 5*z + 1971 = 1984 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 165*h - 8757. Calculate the least common multiple of p(57) and 1512.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8459729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47012.26um to nanometers.\nAnswer: 47012260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -571 and -514905.\nAnswer: -515476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12776 + -5?\nAnswer: 12771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 36 + 2*i + 85*i - 86*i + 95.\nAnswer: 11*i + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + -0.34. Let p = i + 0.1999984. Round p to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*c**2 - 109*c**2 + 341*c**2 + 107*c**2.\nAnswer: 1152*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/17, -1, -2\/11, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 + 70*m**2 + 284*m - 974. Factor l(a).\nAnswer: -(a - 142)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 144592?\nAnswer: -86755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*z - 15, 5*z + 9 = -d + 34. Suppose d = 3*x - 5*x + 220. Suppose b = -b + x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*m = -329, -5*d + 5*m = 4*m - 556. Suppose -1156 = -7*t + d. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*i + 16, 2*s = i + 43. Suppose -142*k + 140*k = -s. Let n be ((-3)\/60*6)\/(4\/k). What is the nearest to 10 in 3, n, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89784846 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 - 1. Let a be r(1). Suppose -495*w + 169 = -482*w. Sort a, w, 4, -3 in decreasing order.\nAnswer: w, 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5)*o\/o**0*o**(2\/9)\/((o\/o**(2\/3))\/o))\/((o**(-1\/3))**(-1)\/(o**(-3\/2)\/(o*o**(-1\/2)\/o*o))) assuming o is positive.\nAnswer: o**(-47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76) + 4)**2.\nAnswer: 32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/27457?\nAnswer: -5\/27457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -51, -48, -43, -36, -27, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b - 37. Let k be q(-6). What is the second derivative of 39*g**5 + 69*g + 34*g**4 - 34*g**4 - 2 + 3*g**k wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**7\/42 - 2*z**3\/3 + 6*z + 5. Let v(q) be the first derivative of b(q). Find the second derivative of v(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - v - 11. Let n be p(-9). Let h be 0\/(-2 - n\/2). Solve -5*w + 14 - 4 = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:38 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 + (-6 - (6 + -5 + -10)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 1804071642331.\nAnswer: 1804071642326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 72\/27*-2*(-72)\/32\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -19.5. What is the biggest value in x, -1\/10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.4. Suppose 21*h - 22*h + 14 = -3*r, -2*r - 10 = -h. Which is the third biggest value? (a) y (b) -0.1 (c) h (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079834831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 355?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341000 rounded to the nearest ten thousand?\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1246 divide 1368108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*j**3 + 202*j**3 + 54*j**3 + 258*j**3.\nAnswer: 246*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1557122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - y. Let d(z) = -3*z**2 - 20*z + 9. Let w be d(-7). Determine u(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouu when three letters picked without replacement from tooouoouoooou?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose -t*v = -3*v - 8. Let i = 19 + v. Solve -2*d + i = 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - 6*b**2 - 2*b + 3. Let y be f(-4). Suppose y = 4*n + p, 0 = 4*n - 3*p - 2*p - 89. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336 by -24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 + 3*t**5\/10 - 23*t**4\/24 + 13*t**3\/2 + 3*t**2. Suppose 5 - 18 = c - y, 43 = -3*c + 2*y. Is n(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 0, w + 1 = 5*w + q. What is the biggest value in -0.5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvvvvvovovovv. What is prob of picking 3 o and 1 v?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127013?\nAnswer: 157, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -53. Solve c*k = -n - 14, -1 = -3*k - 3*n + 7*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/m)**23\/(m**0)**(1\/53) assuming m is positive.\nAnswer: m**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29911539.\nAnswer: 3, 7, 1424359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 71*q**2 + 56*q - 193. What is c(23)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.450647mm to micrometers.\nAnswer: 4450.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*f - 45 = 0, 5*b - 2*f + 124 = b. Let c = b - -31. Solve -c*z = -3*y - 16, 0*y - z + 6 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -357, -517, -661, -783, -877?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -525?\nAnswer: -524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -541 or -642?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 537379531 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: Let f(p) = -15*p**2. Let n(d) = 510*d**2. What is -135*f(y) - 4*n(y)?\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -259533 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**9\/126 + u**5\/15 - u**2 - 2. Let y(w) be the second derivative of d(w). Find the third derivative of y(o) wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 37 - 27 + 99)*(4*v + 5 - 5) as g + c*v and give c.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4355*b + 8972 - 46844 = 2777*b for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 158*s - 315*s + 160*s + 15. Let o be g(0). List the prime factors of (o - 5)*(-1)\/(-4)*86.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 19. Determine s(-12).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:44 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28 + 87*x**4 - 123*x**4 + 22 wrt x.\nAnswer: -144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 2*h, -5*p = -4*h + 33. Let a = p + 3. Let b(z) = z**2 + 2*z - 1. Let x be b(a). Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**(-2\/5))\/t)*t)\/t**2*(t**(-4))**(-37) assuming t is positive.\nAnswer: t**(737\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 47067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -111110001?\nAnswer: -111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 - h + 2. Let x be n(5). Let u(w) = 18*w - 55. Let c be u(3). Put x, -7, c in ascending order.\nAnswer: -7, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*c**4 - 1367*c**3 + 36524?\nAnswer: -80*c**3 - 4101*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 5856.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.965 + -62. Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/n)**(-34)\/(n**(-2)*n*n**(-1\/10)) assuming n is positive.\nAnswer: n**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 14. Let u be z(-6). Is u not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5) + 1 - (sqrt(432) - sqrt(3))) + -4*(sqrt(21)\/sqrt(7) + -1) + 5.\nAnswer: -14*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 181.\nAnswer: -90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 4\/33?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 328*n + 3574. Let g be r(11). Solve 24*v + g = -23*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2107, -6205, -12995, -22447, -34531, -49217?\n\"Answer: 5*s**3 - 1376*s**2 - 5*s - 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 + 5*h - 2. Calculate v(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13763608?\nAnswer: 2, 17, 101203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10866.98cm in meters?\nAnswer: 108.6698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let t(v) = -19*v. Give w(t(o)).\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 1\/3*o**4 + 0 - 2*o - 1\/6*o**3 + 0*o**2. What are the prime factors of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 15*w. Let k(h) = -h**2 + 6*h + 5. Let g be k(w). Let a(s) = -s - 33 + 38 - 2*s. Determine a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15*i**2 + 2*i**2 + i**2)*(-8*i + 12*i + 7*i) to f*i + l*i**3 + v*i**2 + u and give l.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -11*z**2\/2 - 20*z - 14. Let k be r(-4). Solve -4*f + 4 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1b2 + d?\nAnswer: a1bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j**3 + 2*j**2 - 11*j - 10. Let z be y(-7). Let s = 2255 + z. Let m = s + 4024\/3. Find the common denominator of m and -73\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.7 - -2.585113\nAnswer: -32.114887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.6243 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 4. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -47. Suppose -y = -8*i - 12. Is (i - (-4)\/(-2))*212\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -134094, 4, -5, -4, 5, 2 in increasing order.\nAnswer: -134094, -5, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1148 and 20.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -167?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*u + 4*g, -3*u + 5*g = -6 + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 - 29\/(232\/14). Let h(m) be the third derivative of -m**6\/15 + m**5\/60 - m**3\/3 + m**2 + 15. Give h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23008945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 46 = 4*a. Let q(l) = -l + 47. Let h be q(13). Let j = h + a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.403 - 0.597. What is the nearest to q in -0.08, -0.8, -1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55\/10 + (-1)\/2. Suppose 4*z + 5 = 1. Put z, u, -3 in increasing order.\nAnswer: -3, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387 + 1316. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 51*m - 494. Let k be b(14). Let c = -106 - -178. What is the highest common factor of k and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/120 + t**5\/6 - 3*t**4\/8 + 3*t**2. Let p be n(9). Are 4 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1350656412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 3 = 16*h - 18*h - 23 - 2, 1 = 3*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 23\/5, -642, -0.7?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132\/30 - (-4)\/(-10). Suppose 0 = -0*v + y*v - 20. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135201115 (base 6) to base 12.\nAnswer: b1619b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.3954 days to hours.\nAnswer: 21609.4896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6156 and 1710152?\nAnswer: 138522312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7061.\nAnswer: 5\/7061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**30\/i)\/(i\/i**(-4\/11)) assuming i is positive.\nAnswer: i**(304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -9*w**4\/2 - 44403*w**3\/2 + 1129881*w**2\/2 - 3824397*w\/2 - 2499336 = 0.\nAnswer: -4959, -1, 16\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 10:10 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-105)*(-24)\/144*63\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -104 in decreasing order.\nAnswer: 3, 0, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325 * 3.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h)*(7503*h - 3835*h - 3852*h - 4)*(0 + 0 + 2*h).\nAnswer: -736*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -18\/113, 2, 1, -2\/9, 2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = -11*l + 134. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 140. Let x = d + 52. Solve 0 = -2*p + x*k - 20, -6 = p + 2*k - 3*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-4\/17)\/b*b)*b*b)**(9\/7)\/((b*(b\/(b\/b**(-9\/4)))\/b)\/(b**(3\/14)*b*b)))**(-10\/11) assuming b is positive.\nAnswer: b**(-2495\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5428*y**2 + 5*y - 1. Let f be k(-1). Suppose 5*d + 4*b = f, 5*b + 4352 = 4*d + b. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 8*k - 8. Let i be x(6). Let b = 7 - i. Let h(n) = 9*n + 2. Let l(s) = 13*s + 2. Let g(f) = 6*h(f) - 4*l(f). Give g(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403670 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1689 + -1047. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -12119748.\nAnswer: 19\/4039916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -258, -133, -38, 27?\n\"Answer: -15*j**2 + 170*j - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 800+6\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147 + (-41 + 70 - 62) - 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.024716 + 22.980484. Let t = q + -23. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/2)\/(-3) - 89\/(-178). Suppose 0 = -z*g - w + 373, -2*g - 200 = -4*g + 4*w. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 14*b - 32. Suppose -41 - 57 = -5*t - b*s, -4*s = t - 16. What is the remainder when 97 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, -30, -78, -126, -168, -198, -210?\n\"Answer: q**3 - 9*q**2 - 22*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -532, 0.3, 0.4 in ascending order.\nAnswer: -532, 0.3, 0.4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*r**5 - 2*r**3 + 2*r - 77?\nAnswer: -3920*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 27. Determine y(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 - -0.37. Let d = 0.2 + -1.2. Sort d, t, -0.5 in descending order.\nAnswer: t, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1203.3 + -1144. Let j = 59 - f. Which is the fourth biggest value? (a) 4 (b) -1\/7 (c) 28 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426 + 6140 = 118*q - 2054 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 2*s**2 + 2*s - 2. Let d be f(-2). What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f - 1. Let w(v) be the second derivative of -v**3\/2 + 6*v. Let g(i) = 6*o(i) - 4*w(i). Differentiate g(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -68*v + 150. Solve 5*w - v*h + 14 = 4*w, 5*h - 35 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, b: 2, f: 2, q: 1, h: 1}. What is prob of picking 1 b, 1 f, and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 9*d**2 + 4*d + 6. Let k(b) = b**3 + b**2 + 2*b + 4. Let j(o) = -4*k(o) + 2*s(o). Let r be ((-3)\/6)\/(1\/(-12)). Is 11 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -26*t + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 34 = -2. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-191235.\nAnswer: 22948.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = p - 2*p + 13709, 22854 = 5*w - 4*p. Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4*y\/y**(-2\/9))\/(y**(-1\/7)*y*y**(-3\/2)) assuming y is positive.\nAnswer: y**(865\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/29 - -39\/290. Suppose -2*t + 9 = -5*o, 2*o = 3*t + 3*o - 5. Which is the nearest to 3? (a) t (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28247070 = -2541*t + 2571*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**3 - 16\/3*j**2 + 22\/3*j + 40\/3.\nAnswer: 2*(j - 5)*(j - 4)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000515210457 rounded to seven decimal places?\nAnswer: 0.0005152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(4\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -9) + 20 + -3 + (5 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**3 + 721*b**2 + 4723*b - 202. Give q(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 946318 divided by -2?\nAnswer: -473159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -4\/3 (c) 56 (d) 1 (e) 35\/3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(57)\/sqrt(3))**2 + (1*sqrt(38)\/sqrt(2) - sqrt(2299)*-2).\nAnswer: 28 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8618320 and 2720?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379 + -311. Let i be 102\/k - (-1 - (-159)\/6). Is i at most as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -52*a**3 + 2*a**2 + a. Suppose 24 = -i - 3*n, -5*i - 5*n - 80 = -0*n. Let m be i\/3 + 3\/1. What is the tens digit of q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 3*f + 0*f + (-3 + 3 + 2)*(3*f - f - 4*f) + 3 + f - 3 - 1 + 2*f + 1 - 3*f + f + 3*f + 3*f - f + f + (4 - 13 - 9)*(4*f - 4*f + 2*f).\nAnswer: -31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfylyhyyff. What is prob of sequence ffl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 87. Let n be -1 + 1 + -2 + z. Solve 4*h - n = m, 4*h - 12 = -3*m + 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -3*x**3 + 0 - 12*x + 0*x**2 + 7\/3*x**4. Find the second derivative of j(s) wrt s.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -2\/9, 2\/15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -69*t - 23 - 21. Let z(l) = 54*l**3 + 2*l**2 + 4*l + 3. Give z(t).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -686 - -688. Sort c, 20, 1, 5 in increasing order.\nAnswer: 1, c, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*x*y**2 - 2*y**2 + 39*y with respect to x.\nAnswer: 188*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -5*i - 3*l, -2*i - 2*l = -220 + 56. Solve 11*r - i = 48*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-10) + 4\/(40\/6). Solve 154 - 154 + 2*v**3 - 2*v**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -o + 22*m - 3, -6*o = 2*m + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 30.66. Let j = v + -0.04. Which is the closest to -2\/9? (a) 3 (b) 2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 11*u - 11. What are the prime factors of m(9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*u + 5*i, -i + 5 = 5*u + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 + -260. Let i(s) be the second derivative of 0*s**2 + g*s + 1\/6*s**4 + 0*s**3 + 0. Let k(f) = 3*f. Give i(k(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 119477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/85 and 23\/896988.\nAnswer: 4484940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10 + 5 - 6*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -14. Sort -23, u, 2 in ascending order.\nAnswer: -23, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 14) to base 16.\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 - f**2 + 0*f - 3\/8*f**4 + 0*f**3. Let d(n) be the third derivative of n**5\/30 - 2*n**2. Calculate d(o(s)).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -265. Let s = 22 + a. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/30 and 46\/201.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -40*o**3 - 14*o**2 + 46*o + 365. Is j(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (3 + 2 + 40 + -27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102796?\nAnswer: 2, 31, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1070279301*b**3 + 806267354?\nAnswer: 3210837903*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10 and 59\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 + 2*g**3 - 3 - g**2 + 3 - g. Let u(a) = 4*a**2 - 7*a + 0*a - 2*a**3 + 2*a. Let r(f) = -h(f) + u(f). Calculate r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3226 - 0?\nAnswer: 3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000096637 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1251393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -2\/8047, 2, 0.1, 1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/276150 and 127\/184100.\nAnswer: 552300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -1367 (c) 13 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-105)\/(-49) - 3)\/(4\/(-28)). Let i be 10\/(4\/4*2). Suppose -i*o = -a*o + 176. What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 9*q**4\/4 - q**3 - 6*q - 27. Let c(f) = 8*f**3 - 2*f**2 - f - 5. Let i(l) = 6*c(l) - 5*r(l). Suppose i(d) = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 28*z**3. Let x = -4 - -3. Let f be c(x). Let m = 40 + f. 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 f**5 + 1936*f**4 + 13515*f**3 + 23148*f**2 = 0. Calculate f.\nAnswer: -1929, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -121*f + 3. Let w(h) = -124*h**2. What is w(p(l))?\nAnswer: -1815484*l**2 + 90024*l - 1116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/(s*s\/(s**34*s)))**31 assuming s is positive.\nAnswer: s**1147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 605, -1 in decreasing order.\nAnswer: 605, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*v**3 - 5*v - 2*v + 0*v + 9*v + 3*v**2 as i + l*v + y*v**2 + x*v**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 551, 549, 547, 545, 543?\n\"Answer: -2*y + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108401 + 108406. Let p be (-20)\/(-15) - (1 + 0). Which is the third smallest value? (a) p (b) -12 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 50, 86, 126, 170?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -4 (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/30*140\/(-49) - (-3 + -48 + -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21309628 is divided by 2421?\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 172. Let r be s(-38). Let h be (r + (-12)\/(-6))*(-8220)\/(-3). Round h to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:57 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:43 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -526.9175 - 0.0825. Let r = u - -527.00685. What is r rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 28024*g. Let a(h) = 10*h**2. Calculate a(f(p)).\nAnswer: 7853445760*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539709 or -539705?\nAnswer: -539709","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -2242 - -2245. Which is the smallest value? (a) 4 (b) s (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1880?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22895 and -2?\nAnswer: -45790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - (2 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/10)\/((-6336)\/960). What is the third smallest value in -1\/35, 1\/3, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6806, -6766, -6726, -6686, -6646, -6606?\n\"Answer: 40*b - 6846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 8*q + 3. Let k be r(-4). Solve -y + 2*z = -3, 0 = -k*y + 2*z - 7*z + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*o - 5*v, -2*o - v + 10 + 10 = 0. Let b(z) = -8*z**3 - o*z**3 - 1 + 9*z**3 - 2*z. Give b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2380 and 284393?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2070168*a. Let y(r) = -2*r**2. Calculate y(q(m)).\nAnswer: -8571191096448*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 51. Let n(q) = -q**3 - 5*q**2 + 8*q + 21. Let x be n(-5). Let m be v(x). Solve -5*l - 7 = m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184\/46*(-6)\/8*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 5*m - 1, -5*y - 5*m + 5 = 0. Suppose 3*w = d - 16, -3*w - 4 = -2*w. Solve 6*b - 9 = d*u + b, -y = -5*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 6*d - 5*d)*(5 - 5 + 6 + (-5 + 3 + 0)*(3 + 2 - 4) - 6 + 3 + 1).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 575.9135 nanograms?\nAnswer: 0.0000000005759135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/5)*j*j**(2\/15)*j*j)\/(j*j**(3\/5))**(-2\/37) assuming j is positive.\nAnswer: j**(2453\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -10362?\nAnswer: 40\/1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -732746 divided by -67\nAnswer: 732746\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 7:37 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111803.325 rounded to the nearest 10?\nAnswer: 111800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*m - 38. Let q be 2\/7 - m\/(-14). What is the third derivative of 2*w**q + w**2 - w**2 - 2*w**2 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 69\/2. Let w = 26.32 + -26. Let r = -0.22 + w. What is the closest to h in r, 5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/2835 and 149\/202986.\nAnswer: 1014930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7448332 is divided by 16192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/98*(-21)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2. Let y be z(6). What is the derivative of y*c + 3*c - 2 - 2*c + 3*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1966 and 73242.\nAnswer: 71996886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a546 - -163?\nAnswer: -8a393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/15719984 and 63\/20.\nAnswer: 78599920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7464 and 27679.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 247 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, j: 7, m: 6}. What is prob of picking 2 e, 1 j, and 1 m?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 80 = -5*a. Let z = a + -8. Suppose -z*y - 35 = -371. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 51 - 7 = -18 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - 128. Let c = 172.4 + g. Is c at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46059 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:38 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73912708?\nAnswer: 2, 23, 803399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 523000 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l, -3*h - 2*l = -l - 13. Suppose j + 2*j = -3*u - h, -6 = -4*u + j. Let g(m) = 5*m**2 - m. What are the prime factors of g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*a - 9 - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/4 + 409*m\/4 + 1263 = 0.\nAnswer: -12, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10700 + -5183. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944707110 to the power of 1\/2, to the nearest integer?\nAnswer: 44099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40232.3805 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 180*z + 6355. Let p be f(-50). Round p to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnwhwwnwnwnw. Give prob of picking 1 w and 1 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21*b**3 - 554*b**2 - 57*b - 51. What is the units digit of x(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1114 + 1469. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241 - 132. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = 2*r - 9, -3*x - 4 = -4*r. What is the third biggest value in 2\/13, r, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178528, 178529, 178530, 178531, 178532?\nAnswer: 178533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 5.1394?\nAnswer: 159.3214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 3. Suppose 0 = l - 5*g - 61 - 29, l + 5*g - 90 = 0. Suppose -6*s - l = -9*s. Let m = 24 - s. Calculate u(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -93. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + u = 36, 5*n - 37 = -3*u + 15. Let s = -15\/2 + n. Let x = -2.18 - -2.08. Which is the nearest to 0.1? (a) 0 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*x = 102*x + 42. Let t be (-9)\/x*20\/(-18). What is the biggest value in 5, -1\/2, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446238 a multiple of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.6 (c) 3\/4 (d) 4.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:19 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.127 and 224013.\nAnswer: 28449.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15556572 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.89 - -0.11. Let g = 14 - q. Let n = -7 + 4. Which is the closest to g? (a) -4\/5 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19019 + 22889. Is x a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -4, 3*i + 5*j - 10 = 0. Suppose 0 = 5*g - i*g - 160. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a - 0*a + 3*f, 0 = 5*a - 2*f - 25. Suppose 13*m - 15*m = -2*r + 4, -14 = -4*r + m. Solve r*s = a*j - 20, 3*j = -4*s + 3 - 23 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n**2 - n**2)*(1 + 0 - 3) - 23*n**2 + 0*n + 0*n - 3*n**2 + 3*n**2 - 2*n**2 + (-1 + 3 - 1)*(0 - 2*n**2 + 0) + (5*n + 2*n**2 - 5*n)*(3 + 2 - 3).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26c - 94?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8, -h + 112 + 153 = p. What are the prime factors of h?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, -3, -1, 4, 26 in ascending order.\nAnswer: -3, -1, 2, 4, 26, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5497.7998808 and 0.8?\nAnswer: 5496.9998808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 215 = 15*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 708, 1680, 3070, 5088, 7944?\n\"Answer: 35*v**3 - v**2 + 730*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q - 1. Let z(c) = -c**2 - 6*c + 7. Let i be z(-7). Suppose i = -4*o - 8 - 0. Let u be (o - 0)*(-5)\/(-2). Calculate a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 1416. Let q(n) be the second derivative of -n**4\/12 - 1554*n - 2. Determine s(q(j)).\nAnswer: -j**4 + 1416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44704 and 935396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -4 - 3) + -50 + 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15935, 11291, 6683, 2129, -2353, -6745, -11029, -15187?\nAnswer: -19201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(96) + -5 + (sqrt(117))**2 + (sqrt(117) + 1 - (-1 + sqrt(39)\/sqrt(3))**2) + (sqrt(78) - -4*sqrt(78)*-6)\/(sqrt(66)\/(sqrt(77)\/sqrt(7))).\nAnswer: -71*sqrt(13)\/4 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1 - 504\/(-54))*-3. Is 30\/16*8038 + t\/100 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157506*o + 171962 wrt o.\nAnswer: 157506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -15 - (-7 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 396 - 10 - (1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -28*i + 106 + 29 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36630781*g**2*j**3 - 172*g**2*j**2 - 18*g**2 + g*j**3 - 346*g*j wrt j?\nAnswer: -219784686*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*p = -4, 2*a = -3*p - 0*p - 3. Suppose 61*t + 29*t + a*t**2 - 377 - 28 - 5*t**2 = 0. Calculate t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -737 - -1056. Suppose 4*d = 1611 - f. Is d + 3 + (-3 - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.559 and 0.1.\nAnswer: -0.0559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57472315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 - 7*s. Let h be n(6). Let o(k) = -37*k + 18*k + 21*k + 5. Let d(y) = -3*y - 6. What is h*o(i) - 5*d(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 11. Calculate q(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-84))\/(3\/(-9))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3419734.3 - 28997469.3. Let u = m - -25577680.000135. Let n = 55 + u. What is n rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298103.7 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 + -5 + 6. Suppose -5*z + s*z = 2*c - 12, c - 15 = -5*z. Solve -2*u + 8 = -z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 17*d**2 + 31*d - 8. Calculate u(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -a + 6*a. Let b = a - 57. Let c = b + 27. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 361201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -16*s - 9*s - 189. Let n(d) = -d**3 - 9*d**2 + 11. Give n(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56664838 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*s**2*z - 853823573*s**2 - 25169*s*z + 142*z wrt z?\nAnswer: -22*s**2 - 25169*s + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) 1\/5 (c) 3 (d) 4\/5 (e) -0.97 (f) -88\/3 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*r*x - 7*f*r - f*x + 4*r*x - 33*x wrt r.\nAnswer: 2*f*x - 7*f + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t = a - 28, 3*a - 2*t = 149. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1626 - 1622. Which is the second biggest value? (a) g (b) -818 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-5*k + 3*k + k) + 5*k - 3*k + 0*k + (3*k - 6*k - 3*k)*(2 + 2 - 5) + 2*k + 1 - 1 + 0*k + 2*k + k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2\/2249?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 4*j + 5. Let a(c) = -2*c**2 - 2*c + 3. Let q be 6\/(-4)*(3 + 1). Let p be -10*(3 + 0)\/q. What is p*a(s) - 3*w(s)?\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250078 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -56. Suppose j - 8 = -1. Solve 5*a = 2*c - 9, -c + 4*a - r + j = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*(-64)\/(-2112)*(-1)\/(-13)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.08317 kilometers to nanometers.\nAnswer: 1083170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152962, -305932, -458902, -611872?\nAnswer: -764842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Let o(f) = 3*f + 16 - x*f - 16. Let z(g) = -g**2. Determine z(o(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230073 is divided by 28673.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18898.903 + -18907. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 728550 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.3019ml in litres?\nAnswer: 0.7243019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pss when three letters picked without replacement from {p: 4, s: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15818431259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 71 - 85. Let d = 80 + m. Calculate the smallest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (3 - 0))\/1. Let b be (s\/4)\/((-2)\/(-8)). Suppose -b*r + 1 = 7, 0 = f - 4*r - 31. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121540 + 8230. Is y\/(-24) + ((-15)\/(-12))\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20737682 is divided by 73020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 4*m - 26*m - 14*m - 38*m.\nAnswer: -89*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1456 - -4?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 3, w: 3, f: 1, o: 6, l: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 30*u - 177 = -56*u. Let y(l) be the third derivative of 0*l**u + 1\/42*l**7 + 0*l - 27*l**2 + 1\/24*l**6 + 5\/8*l**4 + 0 - 5\/12*l**5. Factor y(q).\nAnswer: 5*q*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(363))**2 + 5 + sqrt(363).\nAnswer: 11*sqrt(3) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*a + 37 = 0, -22*s - 9*a + 98 = -7*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 55\/2. Let y = -164\/237 - -2\/79. What is the nearest to y in g, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20239\/6 - 3386. Let r = 193\/12 + s. Calculate the common denominator of r and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11451 divided by 17.\nAnswer: -11451\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967550173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**3\/2 + g + 3. Let o(j) = 2*j**2. Determine v(o(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b - 39. Give i(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 + b - 1. Let h be l(-2). Suppose -h = 2*w - 5*w. Calculate the smallest common multiple of w and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 9538, -289, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147987 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*l + 10, -h + 284 = -3*l + 279 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*d - 3*u - 300, d - 5*u - 75 = 0. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60290 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6553.569 - 103.5.\nAnswer: -6657.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/10, -2, -5, 93?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*i - 58 + 58)*(4 + 0 - 1).\nAnswer: 189*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*o**2 - 210*o**2 + 422*o**2 - 3 - 49*o)*(-28*o - 25*o**2 + 28*o).\nAnswer: -25*o**4 + 1225*o**3 + 75*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = 4*c + 5, 5*c + l = -18. Let n = 273 + -278. Put 1, c, 3, n in ascending order.\nAnswer: n, c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Suppose -3*m + 36 = 3*l, 5*m + 0 = -l - u. Solve -4 = -5*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 5*t - 5. Let l(h) = 8*h**2 + 14*h + 14. Let x be (6 + (-54)\/12)\/((-3)\/(-28)). Give x*c(v) + 5*l(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 0.08, 24\/23, 16.4?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11247.\nAnswer: 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4 + 1 + 1331*m - 4 - 1332*m + 4. Let u(y) = 2*y - 7. Determine -7*l(a) - 5*u(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w + 14*w + 14*w)*(2*w**2 - 2*w**2 + w**2).\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(108) + 2.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.435756 millilitres?\nAnswer: 0.002435756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 2:46 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -1385\nAnswer: 22\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 500590976 to the power of 1\/2, to the nearest integer?\nAnswer: 22374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {z: 2, x: 2, t: 1, d: 1, p: 1, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081\/(-47) + 26 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r. Let z be s(-2). Suppose k + 8 = z*p, p - 3*k + 0*k - 4 = 0. Solve -3 - 1 + 6*u**2 + 0*u**2 + p*u - 3*u**3 - u**2 = 0 for u.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1105\/156)\/(-17)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-184 - -186 - (-8 + 3)) + 92\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 13 = 0. Suppose -4*i = -102 + 26. Suppose -3*j + u = 3 - 25, 0 = -3*j - 2*u + i. What is the remainder when s is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -bbc6?\nAnswer: bbc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 23. Let l be o(7). Let y(a) = -12 + 9 + 2*a**2 + 8 + 6 - l*a. Is y(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 + 4*q. Let z be n(-3). Let g = -6 + 9. Suppose -g*x + z*x = 27. Solve -h - j + x = 0, h + 3*j + 2*j - 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r**2 + 6584494*r + 759750 = 0. What is r?\nAnswer: -3\/26, 126625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*b**2 - 13*b**2 - 2*b**2)*(4*b**2 - 2*b**2 + 0*b**2) - 25*b + 25*b - 10*b**4.\nAnswer: -98*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7489220, -7489219, -7489218?\nAnswer: -7489217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {e: 1, d: 1, m: 1, a: 1, w: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 923 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8950354 * 0.2\nAnswer: -1790070.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Suppose 0 = 7*t + 8 + 20. Sort n, -1, t in decreasing order.\nAnswer: n, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71399.\nAnswer: 71399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -73622.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -5 + 4\/2. Suppose -16 = y*g - 5*d, d - 4 = 2*g - 5. Solve 5*f + 17 = g*m, -8 = f - 3*m + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a + 4*a + (2 + 1 - 2)*(3*a - 4*a + 2*a))*(6023 - 3015 + 48*a - 3015).\nAnswer: -48*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/720 + a**5\/60 - a**4\/4 + 3*a. Let x(r) be the third derivative of s(r). What is the first derivative of x(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = -6*v. Let u = v - -9. Let r(o) = o + 8. What is the remainder when r(11) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-1)\/3 + (-4 - -7). Which is the second biggest value? (a) 162 (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 97\/422.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*i + 45. Let c = 246 + i. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let q = 3551 - 3551. Let w(p) be the first derivative of q*p**2 + 1\/3*p**3 + 0*p + 19. Give w(f(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + w**2 + w**2 + (4 - 4 - w)*(-2*w + w + 2*w) - w + w - 2*w**2 + 12 - 2*w**2 - 11 + 18.\nAnswer: -3*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2 + 4. Suppose 89*o + 73*o + 17010 = 0. Let j(f) = -285*f**2 + 105. Calculate o*z(g) + 4*j(g).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -42*m**5\/5 + 89*m**4\/12 - m**3\/6 - 26*m. What is the third derivative of h(c) wrt c?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 * -14\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -850*k**5 - 28027*k**4 + 28027*k**4 - 263*k wrt k?\nAnswer: -17000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:42 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157349274 a multiple of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375016491*g**3 + 168000056*g?\nAnswer: -2250098946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -894000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 52312, 12 in decreasing order.\nAnswer: 52312, 12, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 39399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622308 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbvbvbbb. What is prob of picking 2 b and 1 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -193a?\nAnswer: -192e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, -4, 5, 38 in ascending order.\nAnswer: -47, -4, -2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -103 and -7.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -59651 * -3\nAnswer: 178953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o**4 + 31*o**3 - 54*o**2 + 5*o. Let m(a) = -8*a**4 + 16*a**3 - 28*a**2 + 2*a. Let b(n) = -11*m(n) + 6*u(n). Factor b(d).\nAnswer: -2*d*(d - 2)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 (base 7) in base 4?\nAnswer: 23321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 25 - 5 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -4.59, -9, -6, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 4*o - 4*o + (0*o - 7*o + 0*o)*(-1 + 1 + o + (2 - 1 + 1)*(-1 - 2*o + 1)).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56424 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/22140 and -88\/760755.\nAnswer: 27387180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2.2 (c) -3612 (d) -211 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {y: 2, f: 2, a: 1, t: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + 0.01. Let l = -0.419 + 0.019. Let h = l - o. Sort 5, -6\/11, h.\nAnswer: -6\/11, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/209? (a) 0.3 (b) 4 (c) -20 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/9 + (-3 - (-58)\/18). What is r in -v*r**2 + 32 - 23 + 4*r**3 + 2*r**3 - 6*r + 5*r**4 - 6*r**4 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 4*d**2 - 3*d**2)*(137*d**3 + 2437*d - 2437*d).\nAnswer: 274*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*h**3 + 16*h + 6344.\nAnswer: -96*h**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 29683363.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77547939247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 - 312*f**2 + 35*f**4 + 172*f**4 - 2*f**5 wrt f.\nAnswer: -120*f**2 + 4944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d - 19. Let j(l) = -2*l - 22. Let f be j(-6). Is x(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-3)\/18*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 1\/3*r**3 + 7\/2*r**2 + 5 + 13*r. Give g(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -161.\nAnswer: -5\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (225\/(-120))\/(-66*40\/(-35200))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36069 - 4364375\/121. Calculate the common denominator of u and -155\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:07 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-17)\/(-1989))\/(1 + (-5)\/10) and 20\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293661838 divided by 4?\nAnswer: -146830919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/(-1)*(-11 + -10). Find the third derivative of -10*z**3 + 23*z**2 + k*z**3 + 9*z**3 wrt z.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - (-2 + (5 - 6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.2 + -25.8. Let l = -29.99999988 - t. Round l to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:33 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 1021?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8276831\/11737830 - 2\/150485. Find the common denominator of g and -37\/34.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -12a5b46?\nAnswer: 12a5b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(2703\/34)*9*134\/(-6).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 - ((-8 - 1) + 34).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2972745 and -133\/30?\nAnswer: 5945490","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -43, -45?\n\"Answer: -2*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 4. Let a(g) = -g**2 + 29*g - 17. Give 2*a(i) + 9*w(i).\nAnswer: -2*i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13333, -4, -3.\nAnswer: -13333, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 61*m + 1 = -66*m, m + 11 = -a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 3*l**3 + 0*l**3 + (2*l**2 - l**2 - 3*l**2)*(-l - l + l) + 17*l**3 - l**3 + 4*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2*(-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 11*l**2 - 13*l - 29. Let a be m(-10). Let n(x) be the first derivative of -2\/33*x**3 - 2\/11*x - 2\/11*x**2 + a. Solve n(y) = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-8)\/2 - -10. Calculate the common denominator of (-7)\/4 + (7 - w) and 79\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let k(b) = -8248*b - 2. What is k(s(r))?\nAnswer: -16496*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/25 and 51\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/136 or 0.2?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -69, -71, -93, -141?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/((-11125)\/(-1157))*(-1 + 1 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (-27 + 20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let l(x) = 7 - 4 - u. Let y(z) = -2*z + 7. What is -6*l(q) + y(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 132512?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)*s)**9\/(s**2)**(-6))**(-1\/17) assuming s is positive.\nAnswer: s**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**4))\/v)\/(v**(-9)\/v)*(v**(-21)*v)**(-39))**(-31) assuming v is positive.\nAnswer: v**(-24335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2304, -10845, -25278, -45597, -71796, -103869?\nAnswer: -141810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/2 - 11\/4. Let s be 2 - 1 - (0 + -1). Suppose 3*p + 4*o = 5*o + 13, 4*p - 24 = -s*o. What is the third smallest value in p, g, -5\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 4 - 7)*(-3 - 2 + 4)*(8*z - 10*z + 3*z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -74.7 times 0.231\nAnswer: -17.2557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8297206, -8297223, -8297238, -8297251?\n\"Answer: l**2 - 20*l - 8297187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/140)\/(6\/(-8) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9949027 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2773, -2775, -2777, -2779, -2781, -2783?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 37926336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 - 2*d + 19. Give l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46923, 46924, 46925, 46926, 46927, 46928?\nAnswer: 46929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = v. Solve -v*u + 10 = -10*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 - 999428*m = 0. What is m?\nAnswer: 0, 499714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccceecc. Give prob of picking 2 e and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 261 and 2?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2 = 2*m - 3, 4*m + 5 = 5*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(17))*4 - (-5 + sqrt(34)\/sqrt(2)) - (-5 + sqrt(1700)*3)**2)*-6*2.\nAnswer: -918720 + 18180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 7}. What is prob of sequence iii?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = -x, -6*c = -3*c. Suppose u - 4 = -u. Solve -5*m - 35 = -x*q, u*q = -q + 2*m + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 947 + (-5)\/(-1) + 0. Suppose -2*w = -2, -3*d + 3*w + p = w. Let a = d + -2230\/7. Sort a, -1\/7, -1\/4 in descending order.\nAnswer: -1\/7, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7643 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 202*t**2 - 12956*t - 255512.\nAnswer: -(t + 38)*(t + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s - 7*s)*(11 + 0 - 2)*(5 - 5 + 5*s) in the form n + o*s**2 + g*s and give o.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -430.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10373, -14\/227, -0.3?\nAnswer: -14\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/((-2)\/8 + (-30)\/72). Is 3 a factor of (57\/l)\/((-6)\/(-15))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.069 - -4.069. Put s, 0, -1.2 in ascending order.\nAnswer: -1.2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h + 164 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from wajvwwwa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 3*d + 9*d - 44*d + 109 - 109 + (0 + 0 + 2)*(4*d - 6*d + d))*(0*d**2 - 2*d**2 - d**2) to the form i*d**2 + b*d + y*d**3 + v and give y.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -172*i**2 - 2. Let o(v) = -3*v + 10. Let m(n) = 10*n - 35. Let w(q) = -2*m(q) - 7*o(q). Calculate h(w(u)).\nAnswer: -172*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*t - 2285, 6*f - 488 = -9*t + 8*t. Solve 452*g + 18 = t*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 - 63.10585.\nAnswer: -176.10585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -36. What is the greatest common divisor of 28 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7330826 divided by -9.\nAnswer: -7330826\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148002938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-44)\/(-25))\/((-16)\/40).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11, 0, -95, -2, 0.5.\nAnswer: -95, -11, -2, -0.4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20339542 to the power of 1\/2, to the nearest integer?\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069 - 412 = w + 72*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 42 = 3*x, 0*x + 9*x = 2*x - 2*z - 10*z + 5*z + 14 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m - 1. Let i(n) = -6*n**2 + 2*n + 7. Let a(w) = i(w) + 4*z(w). What is the second derivative of a(k) wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107\/6 - 18. Let i = -7453 + 7420. Put 1\/6, v, i in ascending order.\nAnswer: i, v, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - (-64)\/10. Let h(t) = -t**3 - 5*t + 3. Let j(a) = -3*a**3 + 6*a**2 - 9*a - 6. Let g(w) = -2*h(w) + j(w). What is g(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-7*d + 2*d - 3 + 3*d).\nAnswer: 4*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620\/2790*45\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -4*w + 45, 0 = -3*w - 4*u + 57. Calculate the remainder when -1*2 - 46\/(-1) is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.4398 millennia to years.\nAnswer: 883439.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/21 + (294\/(-144) - (18 - 441\/24)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + h**3 - 3*h - 4*h**3 - 2*h**3 + 4*h**3 + (h - h - 2*h)*(-h + h**2 + h) - 2*h**3 - 4*h**3 + 4*h**3 - 50*h**3 + 13*h**2 - 5*h**3 - 11*h**2.\nAnswer: -60*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let y(w) = -4*w + 2. Let g(h) = -13*h + 7. Let t(c) = 2*g(c) - 7*y(c). Calculate t(m(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134411 a multiple of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10.93434 - -1919765\nAnswer: 1919754.06566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*j - 0*j - 31, 0 = -4*j + 8. Suppose 0 = -g*y + 20*y + 18. What is the least common multiple of y and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*w + 19 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22742 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -14. Let z = j + 9. Suppose -o - 18 = -3*p, -2*o + z = -7*o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggllgggglggg. What is prob of picking 4 g?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -97. Let s be (6\/4)\/(2\/w). Does 14 divide (2*1\/s)\/((-43)\/1806)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44175 (base 12) to base 11\nAnswer: -6175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16227.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 273536238*j - 547072464.\nAnswer: -3*(j + 2)*(j + 91178744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y - g = 1, -16 = -4*y + g. Let q be y\/12*(20 + 0). Solve 19 = -2*f + q*d - 12, 3*d = -4*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 + 6*u**2 - 3*u + 7. Let q(v) = 7*v**3 + 11*v**2 - 6*v + 13. Determine 6*q(d) - 11*w(d).\nAnswer: -2*d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10277517 to the nearest integer?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*a + 0 = -5, d + 2*a + 3 = 0. Let n = -479\/3 - -159. What is the closest to n in 21, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*15\/200)\/(-1)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -67*(-4)\/(-6)*75\/(-50). Find the third derivative of g*n**2 + 74*n**2 - 155*n**2 + 14*n**6 wrt n.\nAnswer: 1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433322 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let u(d) = -16*d. What is -24*g(o) - u(o)?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17126094 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1920 - -1920.03. Which is the nearest to s? (a) -1 (b) 0.2 (c) -1\/2 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 + 2*r. Let a be j(5). Let c be a\/4 - 1\/(-2). Let o = -24 - c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812 divided by 203.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -291, -327, -427, -609, -891, -1291, -1827?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 105*j**2 - 454*j + 716. Is q(-85) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99, 206, 341, 510, 719?\n\"Answer: y**3 + 8*y**2 + 76*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 9469?\nAnswer: -16\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 3, b: 3, l: 13}. What is prob of sequence hhll?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2497*d**2 - 6*d + 43. Let q(v) = -2498*v**2 + 5*v - 36. What is 5*b(s) + 6*q(s)?\nAnswer: -2503*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anaf when four letters picked without replacement from {h: 1, n: 1, a: 3, f: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.441897um to centimeters.\nAnswer: 0.0004441897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.28036299 and 1783?\nAnswer: 1782.71963701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 7. Let d(t) = t + 3. Suppose 3*w = -5*n - 38, 3*n + 3*w + 20 = -4. Let p(x) = n*d(x) - 3*r(x). Let f(g) = -111*g. Give p(f(k)).\nAnswer: 111*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 22*t**2 - 360*t - 372. Let r(d) = -7*d**2 + 120*d + 124. Let b(g) = -10*r(g) - 3*v(g). Factor b(q).\nAnswer: 4*(q - 31)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 - 130.14. Do -2 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(-4 + sqrt(300)*2) + -3.\nAnswer: -80*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 0.05607.\nAnswer: 0.55607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2 + 1952*z - 158695 = 0.\nAnswer: 85, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqqqooooqqooqoo. Give prob of sequence oq.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 82 = 57*q + 87*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -19. Suppose f*l = 8 + 4. What is the smallest common multiple of l and (1\/2)\/((-3)\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 1)*(-3 + 0 + 2)*(-1 - 4 + 4)*(13 - 8*b - 13) + b - 3*b - b to the form w + r*b and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 - 36*y**4 + 200*y**3 - 252*y**2 - 490*y.\nAnswer: 2*y*(y - 7)**2*(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2644*k**6 + 130*k**2 + 9*k wrt k.\nAnswer: 317280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let d be -3 - 19\/(-4) - 3\/(-12). Let p(j) = 7*j**d - 329 - 6*j**2 + 325. Calculate 2*b(a) - p(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**(-4)*k))**(-1\/24))**31)**(-1\/13) assuming k is positive.\nAnswer: k**(31\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 156 - 156.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45432 (base 7) to base 4\nAnswer: 2310102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 39. Suppose c = -2*s + 85. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 53, -1, -3 in decreasing order.\nAnswer: 53, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 - 12*a + 19. Let z be j(9). Let q = -168 + z. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229257238 is divided by 820.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 4*v + 3*v + 8473 = 9265 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26010245 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 6, -90 = -4*m - 2*o. Let t = 20 - m. Suppose t = -6*x + 29 + 13. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2741b9?\nAnswer: -274201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3) + (-3 - 2). Let a be j + 24\/3 - 0. Suppose 0*b + a*b - 20 = 0. Solve 0 = -3*r - 0*r - v + 7, 0 = b*r + 4*v + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*p - 20, 5*p - 21 = 4*u - 17. Solve 0 = -u*h - 0 - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 289*n**2 + 1843*n - 1860. What is f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7498 and 12877.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1654*2\nAnswer: 3308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*p**2 - 3*p + 2 - 3 + 122*p**2 - 44*p**2 - 15*p**3 - 37*p**2 as v*p**3 + j + b*p**2 + y*p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110343 - -212?\nAnswer: -110131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45169280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - c**3 + 10*c - 4*c**3 + 15 - 8 + 7*c**3 + 7 to v*c**2 + h*c**4 + q*c**3 + p + x*c and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 38 = 4*c + 2*a, 3*c + 5*a = 32. What is the remainder when 6 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -446714?\nAnswer: -446718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 407*v = 408*v + 90, v = 3. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 10) to base 5.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - -36) + (376 - 436).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v**2 - 10*v + 10. What is the lowest common multiple of t(1) and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 11*w**2 + w + 12. Let r = 59 - 70. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 0, 5*c - 2*j + 23 = 6*c. What is the remainder when 74 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*j - 344, -3*r - 2*r = -3*j - 852. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22102941 + -3285.39172941. Let f = 3285 + h. Round f to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16095574?\nAnswer: 2, 11, 173, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*j, -v = 4*j - 2 - 24. Let b = 131 + -135. Let p = v + b. Solve -5*d + 5 = q - p, 7 = -4*q - 3*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 91203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 2*p)*(5*p**2 - 5*p**2 + 2*p**2) + 4*p**2 - 4*p**2 - p**3 + (4*p - 4*p - p)*(-2206*p - 2 - p**2 - 1018*p - 1164*p).\nAnswer: 2*p**3 + 4388*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*39645\nAnswer: 19822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c\/c**(-3\/4))\/((c*c**(-9)\/c)\/(c**(1\/8)\/c)) assuming c is positive.\nAnswer: c**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 554*r**5 + 2*r**4 + 2*r**3 + 72281*r?\nAnswer: 11080*r**3 + 24*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26 from 518141486.4.\nAnswer: 518141460.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + 0 + (-15 - -22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 - 1030*y**3 + 147300*y**2 - 3312000*y - 86400000 = 0.\nAnswer: -15, 50, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - n - n - 3, -3*n - 11 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4\/7 - 5456*t**3\/7 + 1236316*t**2\/7 - 1230856*t\/7 = 0. Calculate t.\nAnswer: -1562, 0, 1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - (-14)\/8. Let n(z) = z**3 + 13*z**2 - 2. Let g be n(-13). Let m be 2\/7 + (-40)\/42. Which is the smallest value? (a) q (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1109.000523 - -1109. What is h rounded to 5 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u - 7 = 2*q, -2*u = 10*q + 32. Sort -1, 11, q, -6.\nAnswer: -6, q, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54+-1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + j**4 + (2 - 4 + 4)*(-j**4 - 3*j**4 + 2*j**4) - 50 + 16*j**4 + 50.\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - -0.15.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141979 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1681\/5 - 336. What is the closest to n in 17, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 - -1.4. Let g = f + -4.00136. What is g rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3065 times -18169\nAnswer: 55687985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 2\/13, -3, -0.164, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 10, -0.5, -27\/61, 2\/7?\nAnswer: -27\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 12b?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1415*s**4 + 11500*s**3 - 24080*s**2 + 2880*s = 0.\nAnswer: 0, 36\/283, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 24 - (13 + -24 + -12) - 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 10*k - 4. Let a be y(9). Let f(q) = -4*q + 10. Let h(r) = r - 1. Let t(l) = f(l) + 2*h(l). Let w be t(a). Sort -3, w, 2 in decreasing order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 810883 by 47699.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.27 (b) 4 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(9) - (sqrt(9) - (sqrt(189)\/sqrt(3))\/sqrt(7)))*1)\/(-2*sqrt(720)*-6 + -1*sqrt(720)*-2).\nAnswer: sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498730 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65538 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 13 + 3 + 28 + -14 - (12 - 1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28484989*a**4 - 231*a**2 + 93*a + 44.\nAnswer: -683639736*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1.7 (c) 0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59004202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6413 (base 9) in base 15?\nAnswer: 15e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22739 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 2*l**2 - l + 1. Let b be c(3). Let w = 246 - 231. Let v be (-9)\/w + 5\/((-25)\/b). Solve 4*m + v = 5*i + m, -2*m = -i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 3, u: 7}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.744 tonnes to milligrams.\nAnswer: 348744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -4. Let y = -12 + l. What is the units digit of 18\/4*y\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 46104 = 5*d, -21*w + 17*w = 3*d - 27669. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*j - 493 = -6*o, -j = -2*o + 195. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/7)*o*o)\/(o*(o*(o\/(o**(1\/2)*o))\/o)\/o)*o**(-13)*o**(-3\/10)*o)**(-7\/9) assuming o is positive.\nAnswer: o**(283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 + 2 = 42*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 209\/33)*(-9)\/66\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwym when four letters picked without replacement from {y: 5, w: 5, m: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4 - 59*d**3 - 149*d**2.\nAnswer: 48*d - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*u + 10*u + 9*u**4 + 17*u**4 + 13*u**4 + 22*u**4 + (-3*u**2 + 4*u**2 + 0*u**2)*(u**2 + 0*u**2 + 0*u**2) + 3*u**4 - 2*u**4 + 2 - 1.\nAnswer: 63*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455183.051 rounded to the nearest 100?\nAnswer: -1455200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1485.8 + -1483.8. Which is bigger: x or 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r - 39 + 39 in the form n*r + z and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53523, 107050, 160575, 214098?\n\"Answer: -o**2 + 53530*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 4 + s - 3*s**4 + 3*s to the form t + r*s + a*s**2 + d*s**3 + u*s**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/15 and (-32)\/15 + 14\/(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o - 62*o + 121*o - 31*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110786449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/9, 31.8, -5, 1\/5, 4 in ascending order.\nAnswer: -5, -1\/9, 1\/5, 3, 4, 31.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5331, -5965, -7199, -9333, -12667, -17501?\n\"Answer: -50*h**3 - 284*h - 4997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:10 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 - 230 + 431 + 3*t.\nAnswer: 3*t - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.29 (c) 0.063 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 39*v - 15 = 38*v, -4*g = 5*v + 9. Let a(b) = 10*b**3 + 4*b**2 + 7*b + 6. Let n(d) = -9*d**3 - 3*d**2 - 6*d - 5. What is g*n(c) - 5*a(c)?\nAnswer: 4*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 16*w + 8 = -5*m, -16 = 3*m - w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - 4 - (-126 + 122).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v - 20. Suppose 0*t = -3*r + 5*t + 66, -v*r + 102 = -2*t. Let q = -12 + r. Solve 2*c + 2*g = -c - 18, -5*g - q = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/572 and -61\/50232?\nAnswer: 552552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -94, -241, -480, -829?\n\"Answer: -3*o**3 - 19*o**2 + 5*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + p**3 - 1 + 2*p + 3*p**3 + 0*p**2 - p**4 - p**2 to the form l*p + h*p**2 + w + t*p**4 + s*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:43 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -10. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 2. Let s be y(0). Suppose s*z + 62 = 4*z. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let x(b) = -2*b + 10. Calculate 10*f(v) + x(v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, u: 3, c: 1}. What is prob of picking 3 t and 1 u?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/432 and -109\/121680.\nAnswer: 365040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*((sqrt(931)*1)**2 - sqrt(931)) - (sqrt(931) - (-4*sqrt(931)*-2)**2) - (sqrt(931)*2*6 - sqrt(931)*-2*5)).\nAnswer: -175*sqrt(19) + 61443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + q = 1, -5*g - 1 = q - 2*q. Let k be 1 + 1 - (g - 1). Sort 1, k, -2.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/27)\/((-2)\/102). Let l = -11 - r. Let q = 8 - l. Is 2 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 2*k**2 + 4*k + 4. Let f be y(-3). Let n = -0.3 + 0.9. Let g = 0.4 - n. Which is the closest to f? (a) 3 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u + 3*u - 4*u - 5. Let k be h(-6). Suppose 5*b = 2*r + k, -5*b + r = -4 + 1. Let s(c) = -3*c**3 - c**2 - c + 1. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -779 - -820. Let z be (-1)\/2*-2*2. Suppose z*x = o + 1. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 78, 3.393, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-4)*(-2)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 582*x\/7 + 4320\/7.\nAnswer: -2*(x - 48)*(7*x + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 25653*v - 6032334.\nAnswer: -3*(v + 242)*(v + 8309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.1. Let b = -0.1 - -0.1. What is the closest to b in -1\/4, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 255*r**2 - 11*r - 9. Let w(n) = 257*n**2 - 9*n - 8. What is 4*q(x) - 5*w(x)?\nAnswer: -265*x**2 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 101 - 219 = 0. Let n = y - -168. Solve -20 = -12*r + n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:26 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.86 - 17.39. Let p = 12 + o. Let v = -6 - p. What is v rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z**2)*(451 - 129 - 206)*(-2*z + 1 - 1).\nAnswer: 464*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (0 + sqrt(180)))**2 + sqrt(500) + -1 - (-2*(sqrt(5) + 0)*5)**2.\nAnswer: -501 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:42 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5717003, 11433996, 17150989, 22867982?\nAnswer: 28584975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1665\/495 - 3 - 130\/297.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4568814.\nAnswer: 2, 3, 253823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a**3*x**2 + 2*a**2*x**2 - a**2*x + 2*x**2 wrt a?\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7110614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobbboobooooo. Give prob of sequence bb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38517, 38512, 38507, 38502, 38497?\n\"Answer: -5*n + 38522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662.8573023 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - 3*q**2\/2 - 7*q - 7. Let g be f(5). Factor 5*o**3 + 8*o - 3*o**g - 12*o**2 + 2*o**2.\nAnswer: 2*o*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (5 + 0) - -4. Let x be (12\/(-36))\/(i\/(-6)). What is the units digit of (3 - x) + -1 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88\/23? (a) 5.7 (b) -4 (c) 2\/33 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n + 4. Suppose -12 = 4*j - 56. Let b(y) = -20*y + 11. Calculate j*s(f) - 4*b(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5765?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 4 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by 11256?\nAnswer: 107\/5628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*m - 308*m - 146*m + 81*m**2 + 44*m**2.\nAnswer: 125*m**2 - 598*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:50 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 1248.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212043385.\nAnswer: 5, 42408677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/3 - 354*j - 489584\/3 = 0. Calculate j.\nAnswer: -296, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*-2*-4)\/(sqrt(33)\/sqrt(3)*2).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 66, 177, 380, 705, 1182?\n\"Answer: 5*j**3 + j**2 + 11*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from kkkkrkkkrrkk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2298.36636 milliseconds to days.\nAnswer: 0.0000266014625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 0 - -8) + -1 is divided by 4\/26 + (-74)\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let c(p) be the third derivative of -p**2 + 3\/20*p**5 + 0*p + 11\/12*p**4 - 117 + 0*p**3. Calculate c(o(x)).\nAnswer: 36*x**2 + 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (29 + -33 - 6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, s: 7}. What is prob of picking 2 o and 2 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 26. Let x = a + 62. Suppose -x*l = 17 - 17. Is l not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:21 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*j + 50, -66282*y + 13 = -66278*y + 5*j for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 - 2*t**2 + 0*t - 1 + 15*t**2 - 4*t. What is the units digit of h(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*b + 194, 4*b - 3*b + 5*g = 38. Calculate the remainder when b is divided by 3 - (2 + -41)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04347867546 rounded to 4 dps?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 21546616\nAnswer: -21546612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 39 - (-1240 + 1221)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c + 5*w = -33, 0 = -2*c - 4*w - 24. Let u be c\/((-4)\/18) + (-3 - 1). Suppose -u*a + 63 = 4*x, 3*x - a - 3*a - 24 = 0. Solve 3*g + x = 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/((-1)\/(-52)). Suppose 0 = -6*t + 2*t - 36. Let z(a) = -a**3 - 9*a**2 - 4*a + 3. Let s be z(t). Calculate the highest common divisor of j and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 149*a - 5. Let o(u) = -5214*u + 176. Determine 5*o(m) + 176*r(m).\nAnswer: 154*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 425*l**2 + 8390*l + 15120.\nAnswer: 5*(l + 2)*(l + 27)*(l + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108696 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmfmffm. Give prob of picking 2 m.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.855 to 1 dp.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235853646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + d + 20, 0*n = 5*n - 3*d - 49. Factor -2*i**4 + 11*i + 2*i**2 - n*i.\nAnswer: -2*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 - -6)) + 4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 7*k**6\/6 + 373*k**5\/4 - 340*k**4\/3 - 90*k**3 + 23*k - 2. Find i such that y(i) = 0.\nAnswer: -54, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1011321?\nAnswer: 1011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 2. Let s(q) = -13*q - 6. Let o(r) = 7*j(r) + 2*s(r). Let a be 15\/3 - 1 - (-4 + 9). Let f(l) = -l**2 + 1. What is a*o(z) + 2*f(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22567, 45123, 67673, 90217, 112755?\nAnswer: 135287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239892?\nAnswer: 2, 3, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 952 + -833. Calculate the greatest common factor of w and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 6.\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/12 + 67*g**3\/9 - 385*g**2\/2 + 363*g + 588. Determine x so that k(x) = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 16. Suppose -3*s + 1 = -4*v, -4*s = -2*v + 6*v + 8. Let l be (s + 0)\/(2\/10). Let c be b(l). Let x(u) = -2*u + 1. Determine x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/24*912\/38.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*o - 34916 = 46*o. Calculate the remainder when o is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 659927985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llruluruull. Give prob of sequence lull.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3368411070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aylaaylygltttlaolttl?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q. Let j(h) = -73*h. Give -2*j(t) - 9*x(t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 3*s - 2*y, 0 = 2*s - 6*y + 3*y - 104. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 29, -28, -153, -370?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -7, -1\/5, -677, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6899 + 6894 + 43*i - 13794 to the form r + u*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in -15, 0.1, -6\/7, 0.11, -3\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(6\/(-32))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -17.2. Let d = -1.7 + j. Let b = d - -0.4. What is the nearest to b in -0.4, -2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70081, 69533, 68985, 68437, 67889, 67341?\n\"Answer: -548*s + 70629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284.1 + -287. Let j = -33.8 + r. Round j to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1159*i + 34. Let n(u) = -u**3 - 43*u**2 - 42*u - 7. Let l be n(-42). Is o(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/16 and 83\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k - 6. Let r be o(-10). Suppose -r*p - 5 = 2*d - 145, -28 = -p + 3*d. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -j + 13, 4*j = -798*u + 793*u + 64 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2*y**2 + 521*c**2*y + 6*c*y**2 - 21*c*y + 13240*y**2 - 31*y wrt y.\nAnswer: -10*c**2 + 12*c + 26480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 - 20.3. Let x = v + 13. What is the closest to -2 in x, 2\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8619?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4.7 (b) -1\/22 (c) -2 (d) -276 (e) -0.1 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 831 divide 4063273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 - 7*j. Let t(r) be the second derivative of 2*r - 1\/2*r**3 + 0*r**2 - 14. What is i(t(k))?\nAnswer: -45*k**2 + 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/4)\/(((-60)\/8)\/(25\/60))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2180895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2\/9, -3, -2\/3 in decreasing order.\nAnswer: -2\/9, -2\/3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a. Let s(q) = 105*q**2. What is s(r(o))?\nAnswer: 3780*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21276342*o**2 + 1836797*o?\nAnswer: -42552684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 5*b - 5. Let h(g) = g**3 + 10*g**2 + 8*g - 6. Let p be h(-9). Suppose p = -v - 2*v - q, -10 = -v - 4*q. Determine z(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.737181 + -20.722. Round i to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q)**24 assuming q is positive.\nAnswer: q**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (555\/296)\/((-5)\/4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d + 165 = 579 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmim. Give prob of sequence imj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/1*-4. Suppose 0*x - r = -3*x. Let t be (x\/8)\/(3\/(-4)). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5527\/2436 - -70\/87. Calculate the common denominator of -54\/5 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -740? (a) -3328 (b) 1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 5 + (-145 - -147)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325970179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17) + 9*(-206)\/153?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)*l*((l\/(l*l**(-4\/19)))\/l)\/l)\/(l**(2\/25)*l\/(l\/(l**3*l))) assuming l is positive.\nAnswer: l**(-13238\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 48. Is k greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 107. Let i = 23 + f. Let a = i + 17.9. What is the closest to 1 in -1\/4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -9. Suppose 436 = -k*h + 121. Let m be (-30)\/h + 38\/14. Solve 2*j + 1 = m*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigiggi. What is prob of picking 2 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -178*y**2. Let a(d) = 14*d + 3. Determine t(a(b)).\nAnswer: -34888*b**2 - 14952*b - 1602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/230)\/((-634)\/65619).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 769632 < 769674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 4. Suppose x = -3*x. Is 2 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from cgcgccgggg?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 28550*v + 3241704 = 0. What is v?\nAnswer: -28436, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 2*w - 32, -4*h + 138 = -3*w. Suppose 5*u = 2*u - h. What is the tens digit of ((-9)\/u)\/(2\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*a + 32*a = 20*a + 1224223. Is 25 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 -16*s**3*v**4 + 10646770*s**3*v**3 + s**3*v + s**3 - s**2*v**2 - 5*s*v + 416934*v wrt v.\nAnswer: -384*s**3*v + 63880620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {f: 6, q: 3, h: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -36.2 * 4.2\nAnswer: -152.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1)))\/f)\/(f*f\/f**(-9)*f)*(f\/(f\/f**(-7)))\/f*f*(f**(-3\/5)*f)\/f assuming f is positive.\nAnswer: f**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-12))\/(3\/4). What is the second derivative of 3*s + 11*s**2 - 7*s**r + 5*s wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 = -2*r + 2*u, 4*r - 15*u + 1 - 80 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + 31. Calculate the remainder when c is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 58, 103, 156, 211, 262, 303, 328?\n\"Answer: -l**3 + 13*l**2 - l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/40 + 13*b**5\/20 - b**4\/8 - 13*b**3\/2 + b**2 - 25. Solve t(w) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2926966 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4 - 1 - 5*f - 5*f + 5*f + f + (-5 + 3 + 1)*(-2 + 2 + 2*f).\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r - 1. Suppose b + 4 = -3*b. Let q(p) = -11*p**2 + p. Let g(y) = b*v(y) + q(y). What is the first derivative of g(u) wrt u?\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.28 + -13.28. Let l(o) = -o**3 + o**2. Let w be l(2). What is the second biggest value in -0.5, -1, z, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -69*q - 3. Let y be k(-7). Let v = y + -1017\/2. Find the common denominator of v and (15\/(-8))\/5 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 12:15 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (484\/(-352))\/(6\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 1)*(-p + 4 - 4)*(36*p**2 + 81 - 81).\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + a - a)*(-a**3 + 3*a - 3*a) - a**4 - a**4 - a**4 - a**4 + 6*a**4 - 3*a**4 to the form r + j*a**4 + c*a + p*a**2 + u*a**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/4 + 18*m**2 + 255*m\/4 - 81 = 0.\nAnswer: -4, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6983 = 27*p + 6767 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29383615*s**4 + 75*s + 45081.\nAnswer: 352603380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1123678 divided by -1259.\nAnswer: 1123678\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/25)\/(30\/(-75))*(-30)\/72.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 5. Let t be s(-4). Let r be -2 - 320\/(-150) - 28\/185. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*m - 0*m. Suppose 0 = 5*o - 8*o + m. Suppose 6*t = 5*t + o. What is the smallest common multiple of t and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 + 15*d + 19. Determine y(-6).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 4*a + 3*a - 6*a + 4*a.\nAnswer: -3*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6579, -12812, -19045?\nAnswer: -25278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 961 - 661. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 18. Let x be -1 - (-2 - p) - 3. Let s = x - -13. Solve y = -3*y - s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*j + 12 = 0, 5*j - 26 = -2*f + 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349211, -349178, -349111, -348992, -348803, -348526, -348143, -347636?\nAnswer: -346987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 176776.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -215141956 and 31951.\nAnswer: -215110005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (235\/188)\/((-45)\/324).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108*s**2 - 1168*s + 2666622 wrt s?\nAnswer: 216*s - 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**(-4\/17)\/(t**(1\/10)*t**(3\/7)) assuming t is positive.\nAnswer: t**(-589\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 500\/130 + (-2)\/(-13). Let c be 19\/p + 2\/8. Solve -5*r = 5*b + 15, c*r = -0*b + b + 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(5)) + -4 + sqrt(5) + (-4*sqrt(10)\/sqrt(2) - sqrt(5)))**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 517 in descending order.\nAnswer: 517, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*x - 1 = 0, -17*g + 21*g + 2*x = 20. Suppose -4*f + 5*f + d = 3, g*f - 4*d = 2. Factor -f*q + 0 - 3\/2*q**3 - 13\/2*q**2.\nAnswer: -q*(q + 4)*(3*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**2 - 10*v**2 + 0*v**2 - 2 + 23*v**2 + 8*v + 4*v**2 to the form r*v + n*v**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*t + 248*t = 6, -t = 3*z - 2*t - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let h be p(1). Suppose -2*v - 112 = h*n, -56 = 2*n - n + 4*v. Let o be 15\/(-20) + (-58)\/n. Which is the nearest to 2? (a) 5 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.205 - -128.795. Let z = d + -122.7. Let k = z + -6. What is the nearest to -0.1 in k, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 - 986164*h**2 + 986136*h + 5916960 = 0.\nAnswer: -2, 3, 246540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhhccchhhcchc. Give prob of picking 1 c and 2 h.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 151 = 4*o - o, -4*o = 4*t - 208. Suppose 3*b + 32 - o = 0. Suppose -8 = b*w + 2. Let n(g) = g**3 + 2*g**2 + 2*g + 1. What is n(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Let p(h) = -4 - 5*h + 4*h + 7 + n*h**2 + 0*h. Let f(t) = -1. Give 3*f(w) + p(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205997 + -89824. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2, 1\/1924, -2\/9, -2\/17, -0.7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-6\/13)\/x)\/(x*x\/(x*x*x*x\/(x\/x**11)*x)*x))\/(x**(10\/7)\/((x\/(x**(1\/6)*x))\/x)))**(-17) assuming x is positive.\nAnswer: x**(-83011\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 904 and 13108.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 611478113 and 10.\nAnswer: 6114781130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 30. Let k be ((-102)\/1)\/3*-1. Let o = k + d. Solve -o = -3*n, -2*n + n = 5*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = -4*i - 3*z - 167, 980 = -5*i - 5*z. Let q = 273 + i. Calculate the remainder when q is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/15))**16)**(-5))**(-6\/5) assuming d is positive.\nAnswer: d**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/369 and -12\/483103.\nAnswer: 4347927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 11*t - 69 = -5*l, 5*l + 8 = 6*l - 5*l + 11*t - 39 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfffhhfffffhfqf. What is prob of sequence ql?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 80*h + 10. Determine w(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -6)\/((-4)\/2 + -1). Solve 4*q + 12 = 0, 27 = 4*w - 7*q + z*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832)*-4 + 0)**2*-4 + -5.\nAnswer: -53289 + 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -19.1\nAnswer: -3.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w - 0. Suppose -w*s + 4 = -s. Suppose -2*a + 380 = 2*f, -4*a - 185 = s*f - 947. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7*v**2 - 1)*(1 - 2*v**2 - 1) + 2*v**4 + 3*v**4 - 3*v**4 - 70*v**4 - 1787 + 1787 as o*v**3 + s + a*v**4 + g*v**2 + m*v and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 156*l**2 + 1131*l + 1290.\nAnswer: 3*(l - 43)*(l - 10)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 1:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*l - 5377 = 5237, 3*l = 2*i - 10613. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-20)*o**(3\/7))\/(o**(-7\/3))**(-6\/7) assuming o is positive.\nAnswer: o**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 4) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 + 5*u**2\/2 - 7*u + 158. Calculate a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1544*o**3*z**4 - 3358*o**3*z - o**3 + 2*z**5 wrt z?\nAnswer: -18528*o**3*z**2 + 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**10)\/i**(-11)*(i**16\/i)\/i**(-1\/6) assuming i is positive.\nAnswer: i**(223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517828, 517829, 517830, 517831, 517832, 517833?\nAnswer: 517834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from pptpcpppqipppcpttpp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:04 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (4 + -14 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-8)*432\/(-90). Let n(o) = o**3 - 7*o**2 + 8*o - 16. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/11 - 9498*c\/11 + 132580\/11 = 0.\nAnswer: 14, 4735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 - 36*x + 2. Let a(y) = 7*y**2 + 54*y - 3. Let k(s) = -2*a(s) - 3*l(s). Let j(g) = -g**2 - 254. Give k(j(o)).\nAnswer: 7*o**4 + 3556*o**2 + 451612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 3*a**2 - 3*a + 1. Let j be f(3). Let m = j + -14. Suppose -m*n = 9 - 19. Solve 3 = n*g - 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w**(-3)*w)))\/w**3)\/(w**(-1))**(-4\/7))\/((w**(2\/3))**(-36))**11 assuming w is positive.\nAnswer: w**(1816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (832\/143 - 2\/(-11)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -641a962?\nAnswer: -641a95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 159*p + 145.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.5, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4098 < -114735\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9010978 is divided by 2252741?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 12*z = 0. Suppose g + 0 - 8 = z. Solve 3*m - g = 4*k, -m + 7 = -2*k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38602, -77053, -115504?\n\"Answer: -38451*s - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6624)\/690)\/(54\/90).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(10\/(-75)*5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4302)\/(-36))\/(((-2)\/4)\/1). Let v = 259 + q. Calculate the highest common factor of v and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311412 is divided by 792?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h + 5 - 77. Let y = 1 - -19. Calculate the greatest common divisor of h and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Let p be (n\/(-1))\/(2\/(-44)). Calculate the common denominator of 57\/22 and 67\/p - (14 - 12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4064 or 4063?\nAnswer: 4063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/28)\/(39\/(-12)). What is the closest to -1\/2 in 0.3, 0, k, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/458 and 37\/497?\nAnswer: 227626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-2))\/r)\/r*r**(2\/3)*r**(-2\/5)*r*r**(-6\/11))**45)**(-31) assuming r is positive.\nAnswer: r**(34968\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(117) + (sqrt(117) - 6*(sqrt(117) + (sqrt(117)*-2 - sqrt(117)))))\/(-2*sqrt(54)\/sqrt(6))*4)**2 + 4 + 1.\nAnswer: 56*sqrt(13) + 10198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {p: 2, z: 2, d: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24961 divided by -10?\nAnswer: 24961\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*o + 124, 76 = -3*k - 52*o + 48*o for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z - 15. Suppose -2*w - 8 = 0, -4 + 24 = -j - 3*w. Let g be 9\/z - j\/(-20). Put 3, g, -3 in increasing order.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**2 - 12. Let a = -12 - -24. Let x(m) be the first derivative of -m**3\/3 - m + 12. Give a*x(u) - h(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159545*h + 243582 wrt h.\nAnswer: 159545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 - 7*h**3\/6 + h**2\/2 - 3*h. Let s be g(7). Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15596113 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let r = -4.4 - -4.3. Which is the nearest to r? (a) 0.1 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 + 11*q**2 + 65*q + 11. Let u(l) = l**3 + 2*l**2 + 13*l + 2. Calculate 11*u(v) - 2*z(v).\nAnswer: -v**3 + 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.42504 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 24 + 10 = 4*a - 9*d, 35 = -3*a - 4*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/10 and -49\/7487?\nAnswer: 74870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prprpspsss. What is prob of picking 1 r and 3 s?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-10)*(-2)\/3*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from {f: 1, r: 5, s: 1, y: 10, v: 1, j: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/5040 + u**6\/80 + 11*u**5\/30 + 16*u**2. Let n(b) be the third derivative of w(b). Suppose -a = -0*a. Determine n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.7448 - -36.7. Let q = x + 0.0448. Sort 3\/7, -0.1, q in ascending order.\nAnswer: -0.1, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. Find the second derivative of -r**2 + 4*r + 0*r**2 - i*r**2 wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let x(b) = -190*b + 97*b + 93*b - 566*b**2. Calculate x(w(y)).\nAnswer: -2264*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 2 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 20230?\nAnswer: -20240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 2149, 4930, 8947, 14272, 20977, 29134, 38815?\nAnswer: 50092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35445562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 79*g\/4 + 7095\/2.\nAnswer: -(g - 165)*(g + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30937035 - 30937038.34846702. Let i = 0.05146598 - h. Let g = -3.4 + i. What is g rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 30. Let i(g) = 9*g - 59. Let o(x) = -2*i(x) + 5*t(x). Let k = -25 - -14. Let p be o(k). Solve 4 = 3*m + 2*z - p, 3*m = 3*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = -3*y. Solve 0 = -y*q + 2*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u + 14. Let v be (-4)\/(-12)*-3*-7. Let j be z(v). Is (-1 - -1) + 6*j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14440 + 55301 = -1439*c - 13821 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l - 4. Let m(z) = -7*z - 3. Let r be 3 + -1 - (-2 + -1). Calculate r*o(k) - 7*m(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**3*o**3 - 17*n**3*o**2 - 20*n**3*o*x - 3*n**3*o - 449693*n**3*x**2 - n**2*o*x + 9*o**3*x**2 + 5*o**2*x wrt x.\nAnswer: -899386*n**3 + 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822 divided by -78?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2724 and 11419916?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 833946462 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = 2*o. Let m be (50560\/(-12))\/(o\/750). Suppose m = 5*l - 4*l. Round l to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136000 and 12480?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -58, -100, -180, -310, -502, -768, -1120?\n\"Answer: -2*u**3 - u**2 + u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 12*t**2 - 5*t + 8. Suppose -3*k - 5*n + 18 = 0, -5*k + n = -4*n - 70. What is the remainder when z(k) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -15. Let g(n) = n**2 - 41*n + 378. Let z be g(30). Calculate the highest common factor of z and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151785748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967609 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: Suppose 5*s + u - 33 - 6 = 0, -31 = -5*s + u. Sort 5, -5, 2, s in descending order.\nAnswer: s, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:36 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 248*t**3 + 15864*t**2 + 60512*t + 59536.\nAnswer: (t + 2)**2*(t + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -18, -1, 50, 147, 302, 527?\n\"Answer: 2*l**3 - l**2 - 16*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 723 + -722.381. Let i = z + -27.619. Let o be (-2)\/3*(-6)\/(-4). Which is the second biggest value? (a) 0.1 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-6)\/(-2) - 2. Suppose -6 = -5*n + 9. Let r(p) = 2 - 3*p**3 + 3*p**3 - 1 - 7*p**2 + p**n. Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448\/(-84) - (-1 + 15\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 - 3 - -2). Sort -4, 4, l in ascending order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -726.2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -5, -12.\nAnswer: -12, -5, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -658*n + 720 + 1223 + 689 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 111, 45, -57, -201, -393?\n\"Answer: -z**3 - 9*z**2 - 2*z + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746144211 to the power of 1\/2, to the nearest integer?\nAnswer: 41787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -194, -315, -436, -557?\n\"Answer: -121*c - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 5\/(5\/(-166)). Suppose -28*b + w = -27*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-54)*(-18)\/3*(-8)\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/225)\/(4\/10). Let q = 0.2 + 2.8. Sort -5, s, q in descending order.\nAnswer: q, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4512?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 76\/41, -2, 1\/5 in descending order.\nAnswer: 76\/41, 1\/3, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - -3.7. Let y = 5.4 + -0.7. Let g = f - y. What is the third smallest value in g, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1\/11 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 324*d - 955 wrt d.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 3*2*sqrt(128) - (-2*(sqrt(128)*1 + sqrt(128)) - sqrt(128))) + -3*(sqrt(8) + -1 + sqrt(72)))**2.\nAnswer: 432*sqrt(2) + 10377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153\/2 + 2631\/34. What is the common denominator of (1 - 2) + -6 - (14 - (-247)\/(-19)) and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - d = -4*d + 25, -d = 2*a - 50. Let r = a + -22. Suppose -j - 5*b = -34, j - r*j + 29 = -3*b. Solve 16 = -4*s, -s + j = -3*k - 2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616*p - 78*p**4 - 1334*p - 2 + 895*p wrt p.\nAnswer: -936*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78450 or -78449?\nAnswer: -78449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -435.92, -2 in ascending order.\nAnswer: -435.92, -2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*n*o**2 - 163*n*o - 5*o**2 + o + 1 wrt o.\nAnswer: 172*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) 4 (b) -17 (c) 2\/19 (d) 2 (e) 85\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 0\/10 + (-24)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 times -246\nAnswer: 10.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -5*s + 34, 0 = -s - 2*w - 6. Suppose 353 = 3*y - 0*y - v, s*v = -y + 122. Suppose -318 = -2*i - y. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8467704 divided by 8904?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2301 and 257283?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/24 - 13*j**2. Let w(z) = -6*z. Calculate r(w(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**3 - 7*o**2 + 51*o + 2. Let j(n) = 2*n**3 - n**2 + n. Let u(y) = -b(y) + 5*j(y). Calculate u(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**(-1)\/m*((m**(-2\/5)\/m)\/m)**(-6\/5) assuming m is positive.\nAnswer: m**(47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 2*k + 212. Is o(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2258 - 9077\/4. Find the common denominator of r and ((-158)\/6)\/((-100)\/30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + -8.5. Let s = 8.6 + i. Put 3, s, -10 in descending order.\nAnswer: 3, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 5*l - 3. Let k(d) = -2*d**2 + 3*d - 2. Suppose 4*p + 2*q + 6 = 2*p, -4*p = -2*q + 12. Let n = 1 + 4. Determine n*k(j) + p*a(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*o**3 + 445*o**3 - 1 - 3*o**2 - 220*o**3 in the form g + q*o**2 + m*o**3 + t*o and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:22 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134356 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 25.023, 2\/23?\nAnswer: 25.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533548 is divided by 1478.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:09 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 0 + (-7 - 15) - (-12 - -9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5151)\/(-5010) + (-86 - -85) and -25\/22.\nAnswer: 18370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12414, 12413, 12412, 12411, 12410?\n\"Answer: -i + 12415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 29*d. Let j be m(-14). What is j rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 9972 - 8124 = 0. What are the prime factors of c?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76153301 divided by -2303.\nAnswer: 33067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -350, -2969, -10104, -24011, -46946, -81165?\n\"Answer: -376*a**3 - 2*a**2 + 19*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/3 + 2138*x**3 + 99984*x**2 + 4479250*x\/3 + 6895461 = 0?\nAnswer: -6367, -19, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47808294 by -838742.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:13 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1029, -7 in decreasing order.\nAnswer: 1029, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*s - 2*s = 7, -3*j - 4*s + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147216 and 41232.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.3004 to 1 dp.\nAnswer: -55.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 202 (c) -1 (d) -2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-401)\/2406)\/((6392\/(-48))\/(-17))\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.4 + 34. Suppose -64 + 69 = 5*s. What is the third smallest value in y, -9, 1\/9, s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.081 + -15.081. What is the nearest to -2\/9 in u, -5, 2\/1039?\nAnswer: 2\/1039","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.9. Let p be (25\/2 - 12)*-1. Let h = 2.8 - -0.2. Sort h, p, f, 2 in descending order.\nAnswer: h, 2, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/24)\/(2\/(-9)). Let v be b\/((-1)\/(16\/6)). Let x be 13 - (3 + v + 4). What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 7248297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/10)\/((-2)\/(-752)). Is s equal to 189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 7:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3852.648745 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -0.9. Let i = 0.02 + 13.98. Let a = i - 12. What is the second smallest value in 0.4, a, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1091574 and -17\/68376?\nAnswer: 30564072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 181*g**2 + 1120*g - 14. Determine h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83905 and 18721?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -260*d**2 - 146*d**2 - 242*d**2 + 21*d**2 - 54*d**2 in the form p + r*d**2 + w*d and give r.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 - 15*l**3 - 4883*l + 4883*l + (1 - 1 - 2*l)*(2*l**4 + 5*l**2 - 5*l**2).\nAnswer: -9*l**5 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23\/((-23)\/(-190)) - (-2 - 1). Suppose 3*r + 37 = g. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**9\/18 + 4*r**5\/15 + r**2. What is the third derivative of x(q) wrt q?\nAnswer: 3360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x. Let v = -8 - -5. Let d be 12\/7 - 2\/(-7). Sort d, v, x in decreasing order.\nAnswer: d, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -101*h**2 + 11. Let d(f) = -34*f**2 + 4. Let s(t) = -11*d(t) + 4*o(t). Suppose -275*q = -233*q - 2646. Let m(u) = 3*u**2. What is q*m(z) + 6*s(z)?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 not equal to -19485\/386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1316, -1268, -1220, -1172, -1124, -1076?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6 + 2)\/((-3)\/((-27)\/(-3)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, d: 5, t: 2}. What is prob of picking 2 d and 2 t?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/(4 + (-43)\/10). Find the common denominator of -41\/14 and 425\/374 + h\/(-22).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -6. Is -2\/5 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 3, u: 2, k: 4}. Give prob of sequence zuoo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 0.03. Let o = 0.02 + v. Which is the second biggest value? (a) o (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2177 - -50073\/23. Which is the second biggest value? (a) -3 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*i + 291*i - 8 + 597*i - 226*i.\nAnswer: 1303*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/3 + 2*d**2 + 2*d. Let y be g(6). Let k be ((-11)\/(-4))\/(4\/y). Solve k = -5*a + 31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 56. Suppose l*g - 16 = 2*p - 2*g, 3*p + 4*g - 22 = 0. What is o in -1\/8*o + 0*o**p + 0 + 1\/8*o**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c + 6. Let h(t) = -19*t + 12. Let u(p) = -11*b(p) + 6*h(p). What is u(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 89 + 35 = 0. Calculate the remainder when z is divided by -10 + 22 - 9 - (0 - 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 143150\/26817 - (-2)\/3. Let w = 75361\/3831 - a. Calculate the common denominator of w and 12\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b - 2*c, -2*b + 0*c + 5*c = 21. Let p(x) = -5*x**b + 6*x**2 + x - 4 - 2*x - 4*x. Determine p(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**10\/1080 - o**6\/240 + o**4 - 4*o. Let j(k) be the third derivative of d(k). Find the second derivative of j(u) wrt u.\nAnswer: 560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1426, -1442, -1468, -1504, -1550, -1606, -1672?\n\"Answer: -5*p**2 - p - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/10 + 9 + 144\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/43)*q\/q**(-6\/11) assuming q is positive.\nAnswer: q**(1182\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437716*d - 52432.\nAnswer: 437716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fkwwfwkfwfwkfwwwkfww.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Suppose g + g + w - 6 = 0, g - 21 = -5*w. Which is the nearest to x? (a) 3\/7 (b) g (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -4 + -6 + 4 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27610 and 12?\nAnswer: 165660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12367*w**2. Let t(k) = -164*k. What is t(j(d))?\nAnswer: 2028188*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -91\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 143 = 3 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1824)\/(-19152) + 796\/21.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 8, -2*n - 943996 = 4*r. What is r rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 1844*t + 1188726.\nAnswer: 2*(t + 1023)*(t + 1743)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*h - 98 - 124. Sort 4, -93, h, 0 in increasing order.\nAnswer: -93, 0, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from {g: 12, y: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -893.4208 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 822 + -818. Solve 2*c - c - 4 = y*d, -5*c + 20 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.56 + -0.56. Which is the second biggest value? (a) 5 (b) -1\/2 (c) -0.02 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 1015\/(-21) - ((-100)\/(-30) - 7).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10613640 by 8.\nAnswer: -1326705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*h - 7096, 0 = -5*x + 4*h + 5627 + 3243. Suppose 5*n + 5*a - x = 2*n, 4*n - 2400 = 2*a. List the prime factors of n.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*8\/(8 + 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:06 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**2 + 5 + z + 76*z**2 - 21*z**2 + 6 - 20*z**2 as y*z + r + w*z**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(4\/15))**(3\/8)\/((l*l*l*l*l\/(l\/l**(-2\/3)*l)*l*l)\/(l\/((l*l**(-38)\/l)\/l*l*l))) assuming l is positive.\nAnswer: l**(4073\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003378 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -4)*(-38)\/(-171). Which is the second biggest value? (a) 3 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 31 = -5*v, -v = -2*v - 4*q + 10. Let a be (-116)\/12 - (-4)\/v. Let u(i) = -2*i - 9. List the prime factors of u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (627\/33)\/38*-1*(-2)\/14\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + 3.02. Let j be 6\/9*(-3)\/(-2). Let h = -39.12 - -38.62. Sort j, h, f, -2\/11 in increasing order.\nAnswer: h, -2\/11, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*1 + (35 - 37). Suppose -4*o = -10*p + 5*p + 4488, 3*p = -j*o + 2682. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + a = -396, 0 = -m - 3*a - 2*a + 148. Let p = m + -131. Solve -p*b - 2 = -j, 0 = -7*j + 6*j - 3*b + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92487308 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-623)\/14 - (-95 - -50).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*h**3*k**2*r**2 - 2*h**3*k*r**2 - 14*h**3*k - 2*h*r**2 + 4*k**2 wrt k.\nAnswer: -194*h**3*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 12*j**4 - 7*j**4 - 4*j - 2*j**5 + (-5*j**2 + 889*j - 889*j)*(j**3 - j**3 - j**3).\nAnswer: 3*j**5 + 5*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 263316149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 20 = -f. Let a be (-2 - f)\/((-2)\/(-3)). Let i = -8 + a. Sort 2, 5, i.\nAnswer: 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -19*k + 6*k + 29*k + 31 - 17*k. Give s(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1 (c) -2.58 (d) -1\/134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1289 = 3*y - 436, 2*y = -2*a - 338. Let p = -107 - a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -48 - 18 + 5*m**3 - 4*m**3 - 37*m - 14 + 2*m**2 + 8. Let u be v(-2). Factor -10\/11*o**u + 2\/11*o**3 - 16\/11*o + 24\/11.\nAnswer: 2*(o - 6)*(o - 1)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 449*l\/3 - 2270\/3.\nAnswer: (l - 5)*(l + 454)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 20*d**2.\nAnswer: 5*d**2*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.141 - -2.141. Put -0.5, s, -0.2, 2, -45 in increasing order.\nAnswer: -45, s, -0.5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.8 + -64.8. Which is the third smallest value? (a) -8 (b) i (c) -2\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53168406 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 122*j + 125. Let z be s(60). Which is the fourth biggest value? (a) 2 (b) 16.5 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f + 3*f)*(-8*f + 8*f - 5*f**3) in the form t*f + b*f**2 + d*f**3 + s + x*f**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*o + 9648 = 280*o + 308*o - 837*o for o.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633, 1283, 1959, 2673, 3437, 4263, 5163, 6149?\nAnswer: 7233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(133)*-3 + (3*(sqrt(133)*-5 + sqrt(133) + sqrt(133) - sqrt(133)) - sqrt(133)))\/(-6*(sqrt(7) + sqrt(700)*-1 - sqrt(252))).\nAnswer: -14*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 + 11*y**2 - 4)*(-315 + 315 + 86*y)*(-y - y - y) in the form w*y + o*y**2 + s*y**4 + q*y**3 + c and give o.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.035, 0, -2\/5, -27297, 4?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 113685.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4*d - d + 6)*(1 + 1 - 4).\nAnswer: -6*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 16*g**2 + 30*g - 39. Let z be p(14). Let i(r) = 2*r**2 - 4*r - 6. Is i(z) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29169564.\nAnswer: 2, 3, 683, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*i + 3208 + 972, 3*i - 4*k - 2510 = 0. Suppose 3*y + 238 = -5*f + i, 2*f - 242 = -3*y. What is the remainder when f is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a - 19 = -3*g, -2*a = -3*g + 38. Let t = 19 + a. Let n = -121 + 967\/8. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1 + 3) - -1. Suppose -3*c + 0 + 7 = 4*r, h = 5*r - 3*c + 25. Is -2 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200840930 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*v + 50, -v + 5*x + 9 + 1 = 0. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 17 - 82 - 30)*(-4 - q + 4) + 2*q - q + 0*q.\nAnswer: 137*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 14*p - 10 - 14 + 13. Let j be v(-8). Solve 0 = 5*m - 3*g + 32 - 2, g = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2. Let m(u) be the third derivative of u**5\/10 + u**3\/6 + 17*u**2. Give 3*i(o) - 2*m(o).\nAnswer: 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 39. Let j(y) = 28*y + 272. Let o(x) = -20*g(x) + 3*j(x). Differentiate o(w) with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -374844 - -374838.29262. Let y = n + 5.72. What is y rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 + 2 = d, -5*s + 12 = 3*d. Let y be 0 + (-1)\/17*(-1 + d). What is the closest to 0.3 in -1\/3, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(396) - sqrt(396) - sqrt(396)) - (sqrt(396) - ((sqrt(396) + 0)**2*2 - sqrt(396))).\nAnswer: -42*sqrt(11) + 787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + 3*y**2)*(-186 - 192 + 367)*(-6 - 14 - 60).\nAnswer: 2640*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/3460 - -66587\/20760. Calculate the common denominator of -13\/22 and h.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/9)))**(-2\/3)*k**(-2\/5)\/((k*k\/(k*k*k\/k**5*k)*k*k*k*k)\/k) assuming k is positive.\nAnswer: k**(-844\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6458 is divided by 813.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872 a factor of 73484666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2772, 2791, 2822, 2865, 2920, 2987?\n\"Answer: 6*x**2 + x + 2765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2\/4 - 7527*g - 30105\/4 = 0. What is g?\nAnswer: -10035, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by 3.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 87614100 to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**6\/6 - 7*w**5 + 11*w**2\/2 + 115. What is the second derivative of t(k) wrt k?\nAnswer: 20*k**3 - 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 51. Suppose -16*b + i*b = -10. Solve -b*c - 5 + 25 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19700126 or -19700127?\nAnswer: -19700126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-11550)\/(-60))\/(-77))\/((-15)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 22 (b) 0 (c) -2 (d) 2 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51980 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1688823 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 + 101*w**2 + 31*w - 154. Let m be k(-33). Calculate the greatest common factor of m and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, t: 1, x: 1, l: 1}. Give prob of picking 1 t and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6*(302\/12 + -24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(-4\/13)*l\/(l**5*l)*l**(-7) assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -1)*(-62)\/6. Let n be 141*1\/(4 + -1). Let f = w + n. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 98 = -r. Let s be -1 + (-4)\/((-4)\/53). Let l = s + r. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116401534 (base 7) in base 10?\nAnswer: -7362079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 939429, 939432, 939435, 939438?\n\"Answer: 3*y + 939426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -133, -2, 85 in descending order.\nAnswer: 85, -2, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 345 = -2*w, 5*w = 9*w - 5*c - 725. Let i = w + -174. Let r(u) = -3*u + 1. Determine r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((3\/15)\/((-2)\/10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, -831, -36 in decreasing order.\nAnswer: 645, -36, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/24 + (-81)\/(-20). Let j = c + -9\/2. Put -0.3, j, 2.5 in descending order.\nAnswer: 2.5, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 7*o**2 - 4*o - 5. Let m be u(6). Let w = 10 - m. Suppose q - 16 = -w*d, -5*d = -3*q - 15 - 7. What is the highest common factor of 7 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -27*f + 120. Calculate the greatest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 41. Which is the closest to p? (a) -2 (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 12*m**2 + 13*m - 15. Give u(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3)*1) - (-2 + sqrt(63)))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 g when three letters picked without replacement from {g: 1, q: 2, w: 1, m: 1, c: 1, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 4*z - 112. What is t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2450754 and -10.3734433.\nAnswer: 2450743.6265567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/1117656*-38*12?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*v + v - 4 = 0, v + 8 = 2*y. Suppose 2*c = 4*w - 12, -4*c + 0 - 6 = -y*w. Suppose 36 = 3*p - 2*p - w*h, -5*h = -3*p + 92. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -5\/3 (b) 2 (c) 28\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c - 113. Let u(v) = -8*v + 55. Give -15*u(k) - 6*z(k).\nAnswer: 24*k - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 8*j - 7*j + 246, 0 = -5*h - 3*j - 1232. Let t = h - -743\/3. Which is greater: -57 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 147*c + 131*c + 6*c = -25380 for c.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 290*v + 24810 - 24810. Let f(y) be the first derivative of y**3\/3 - 20. Determine f(d(b)).\nAnswer: 84100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-6) - 5)\/(-37 - -39).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000819 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 85 = -5*n. Suppose -2*v = 5*l - 3*v - 11, 5*v + 1 = -2*l. Find the second derivative of j**4 - 17*j**l - 4*j + n*j**2 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*6\/((-1440)\/(-16))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19840152 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 50*t - 338. Determine g(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -116, -175, -234, -293?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2402 and 3431257.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21299672 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*sqrt(5) + sqrt(5) + (sqrt(5) - 2*sqrt(5)) + -2 + -5.\nAnswer: -7 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26715*s + 26715*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/192 and 155\/833712.\nAnswer: 3334848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666829?\nAnswer: 666829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34809857 is divided by 4760.\nAnswer: 4737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 2*m - 160. Let a be w(-35). What is the greatest common factor of a and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.19. Let i = 0.099944 - v. What is i rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-117))\/(-5))\/(1\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4\/5 + 8\/5*u - 4\/5*u**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2. Let s(a) = a - 1. Let j = 0 - -1. Let b(m) = 2*m - 1. Let y(w) = j*b(w) - s(w). What is y(u(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjffffolollllll. Give prob of sequence ml.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*q - 39. Let n be (q\/10 - 76\/60)*6. Let b(l) = 10 + 6*l - 4 - 3*l. Calculate b(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 110*y**2 + 52*y**2 - 884*y**2 - 18 + 20 + 108*y**2 to the form f*y**2 + p + a*y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 c when four letters picked without replacement from ggcaccacacacaggcccac?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0014 and -0.4?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -45.3. Let n = w + -0.4. Let c = 1.2 + 3.8. What is the nearest to n in 0.3, c, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 1303842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3544, 28433, 96020, 227665, 444728, 768569, 1220548, 1822025?\nAnswer: 2594360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664 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: Suppose -6408 - 3882 = -49*u. Calculate the greatest common factor of u and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0197 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14839 and 5.3377?\nAnswer: 14833.6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 627*m**2 + 83*m + 725. What is the tens digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0 + 0*n**3 + 0*n**4 + 0*n + 1\/15*n**5 - 4*n**2. Let s(f) = -f**2. What is s(o(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 163*c + 150. What is y(-5)?\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19496, 5, 3, -2, 170 in descending order.\nAnswer: 19496, 170, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s**(2\/3)*s*s)\/s)*(s**(11\/3)\/s)\/s*s**(-5\/6)\/s**(-1\/3) assuming s is positive.\nAnswer: 1\/sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66069749 is divided by 509?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/4864458293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 not equal to -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238 + 240. Suppose 0 = -b*z + 4*v - 4, -13 = 2*z + 3*v - 23. Let y = 6 + 3. Solve -6 = 4*w - z*w - 2*r, 5*w - 2*r = -y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 + 110817?\nAnswer: 111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9159656 - 470.\nAnswer: -467.0840344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011001100011000011 (base 2) in base 6?\nAnswer: 1034120523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 - 585*k\/8 + 2025\/8.\nAnswer: -3*(k + 15)*(16*k - 45)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 - 15 = 0. Solve -5*n - 4*f = -z*f + 40, -n = 3*f - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4588751 is divided by 4770?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 436 = -15230. What is the remainder when f is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*l - 4*l + 162*l)*(-1 - 3*l + 1).\nAnswer: -588*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 96*m - 2390. What is u(-56)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 725789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59885.88 rounded to the nearest 100?\nAnswer: -59900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13709538 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-4)\/(-44) - 8\/44. Let d(o) = o**2 + 2*o. Let x be d(w). Factor -1\/5*u**2 + x + 2\/5*u.\nAnswer: -u*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 0*d - 3*d + (4 - 4 - 2)*(1 - 2 - 1)*(0*d + 7*d + 5*d).\nAnswer: 47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 2443*q**3 + 80224*q**2.\nAnswer: -q**2*(q - 32)*(2*q + 2507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39804 divided by -62\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 59610821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7*(29 + -36). What is the remainder when 212 is divided by (-72 + -14)*((-3)\/l)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2 - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 10 + (-3 - (-5 - -1)) + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 2*k - 13*k - 13*k to h + m*k and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8560 + 173?\nAnswer: 8743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 0*t**4 + 1\/330*t**5 + 1\/6*t**3 - 2*t - 1\/1980*t**6 + 0 + 0*t**2. Let q(f) be the second derivative of c(f). Factor q(n).\nAnswer: -2*n*(n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26941 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 15*n**2 - 4*n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/3 - 45500*o - 136498\/3 = 0.\nAnswer: -68249, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.45, 5, -2, 0.2, 1\/3 in increasing order.\nAnswer: -2, -0.45, 0.2, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)\/m*m*m*(m*m\/m**(-3\/10))\/m*m**6\/(m\/(m**(1\/4)\/m)))\/(((m**5\/m)\/(m**(-3)\/m))\/(m**0*m*m)**(4\/7)) assuming m is positive.\nAnswer: m**(-99\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1511750.1 and -37.97.\nAnswer: 1511712.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00201815179 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11204*n**2 + 4147*n**2 + 3521*n**2 + 3533*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -453*o - 15. Let i(j) = 28*j + 1. Let q(l) = 33*i(l) + 2*x(l). Let w(c) = -4*c**2. Determine w(q(f)).\nAnswer: -1296*f**2 - 432*f - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let p(a) = 407674*a**2 + 2. What is p(g(w))?\nAnswer: 1630696*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + -6*(sqrt(5) - sqrt(20)\/sqrt(4))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.3 (b) 0.164 (c) 3\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*c - 39*c + 38*c to j*c + p and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*f**2 - f - 224*f**2 + 0*f + f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3745\/(-455) + (-60)\/(-260)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-9)\/(-3). Let n be a\/6*36\/3. Suppose n*v = v. Solve 0*j + 5*j - 20 = v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 25308142*k = 0.\nAnswer: 0, 12654071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1034 + 2114*j**2 + 2114*j**2 - 4230*j**2)*(j - 1 + 1) + (-j**3 + 5*j**3 - 2*j**3)*(3 - 1 + 0).\nAnswer: 2*j**3 - 1034*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7876271.\nAnswer: 13, 605867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210098 and 10?\nAnswer: 1050490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -434.8 + 450.8. Which is smaller: a or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - 12 - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 713 + -673. Suppose 40 = 3*v - f, w = 3*v + v + 2*f. Solve -p - 2 = -4, h = -5*p + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707 times -30.3?\nAnswer: 82022.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reep when four letters picked without replacement from nrrhperhoeh?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/24 + 10*z**3\/3 + 6*z**2. Let g be v(15). Sort 2, g, 1 in descending order.\nAnswer: g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2 - 11*z**3 - 2*z + 5*z + 2*z**3. Let k be s(-1). Let o be (-6)\/(-10) + (-4)\/k. Which is greater: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -369, -756, -1173, -1626, -2121, -2664, -3261, -3918?\n\"Answer: -z**3 - 9*z**2 - 353*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 720 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n\/n**3)\/((n**8\/n)\/(((n*((n**(1\/9)\/n)\/n)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47606 + 39878 = 1332*n - 108960 for n.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:24 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 2 + 18*l - 2 + 5 to h + f*l and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:20 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -434650 >= -434644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764474 is divided by 154.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 34 + 48 = 0. Suppose -g*d = 15*d - 12035. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 12990072 divided by -38?\nAnswer: -341844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 10)*(a + 11*a**2 - 3*a + 4*a).\nAnswer: 121*a**2 + 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12.9 - -1\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 4*c**2 - 6*c + 7. Let x(m) = -m**3 + 6*m**2 + m - 1. Let b be x(6). Let k be r(b). What are the prime factors of k\/(-3) - (-52)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/(m\/((m\/((m**(-2\/11)*m)\/m*m))\/m)))**(-1\/11) assuming m is positive.\nAnswer: m**(163\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (495 + -512)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - -12)\/((-2)\/(-256))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9350, -8898, -8446, -7994?\nAnswer: -7542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19 and -22.0974241817.\nAnswer: -22.2874241817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 3*m)*(3 - 3 - 4)*(2 + 2 - 2)*(1 - 1 - 1).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**3\/3 - 8*m**2 + 21*m + 110. Let w be f(-17). Solve -w*n + 8 + 14 = j, -3*j = -2*n + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5255351111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8280 and 1237308?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1324.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135594745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:13 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -302?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0 - -3) + 0. Suppose 4*s = -u + 14, -2*u = -2*s - 3 + 5. What is the second derivative of -f + s*f + v*f + 4*f**3 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.52 - -0.52. Put -0.6, c, 1 in increasing order.\nAnswer: c, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -p + 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22016 - 22014. Let j(d) be the third derivative of 0*d**4 + 0 - 3\/10*d**5 + 0*d - 26*d**s - 35\/6*d**3. Find the first derivative of j(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084187, -2168397, -3252607?\nAnswer: -4336817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1238, -1239, -1240?\n\"Answer: -h - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 1283*t**4 + 651*t**4 + t - t**2 + 633*t**4 - 170 to the form m*t**2 + n*t**3 + b*t**4 + p*t + x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/12 - (-36)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3645 + 3655. Calculate the remainder when 246 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 19*s**2 - 5*s - 2. Let a(k) = -k**2 - k + 1. Let x(b) = -b**3 - 14*b**2 - 3*b + 6. Let u(c) = 5*a(c) - x(c). Determine 2*q(t) - 5*u(t).\nAnswer: -t**3 - 7*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 224.22 * 4\nAnswer: 896.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 140*v**2\/9 - 278*v\/9 + 140\/9.\nAnswer: -2*(v - 5)*(v - 2)*(9*v - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36824 is divided by 18370?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20760164.\nAnswer: 2, 5190041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(500) + sqrt(500)*3*-2 + sqrt(500)))**2.\nAnswer: 71995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + -1 - (-1*sqrt(5) + -4)) + -2)**2.\nAnswer: 46*sqrt(5) + 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.053? (a) -0.4 (b) 2\/11 (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 109*p + 532 = 0. Let q(g) = 13*g - 4. Let r(f) = -65*f + 20. Let w(h) = 11*q(h) + 2*r(h). Let z(c) = 7*c - 2. Give p*w(k) - 7*z(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 2. Suppose 0 = 4*x - 3*h - 740, 0 = -4*x - 4*h + 740 - 0. Let y = 182 - x. Determine a(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6329 - 5504. What is the remainder when s is divided by 234?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20161152 divided by -1.\nAnswer: -20161152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d + 3*v, -2*d - v + 3*v = -44. Calculate the least common multiple of 10 and 140\/d + 12\/54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c - 234*c**2 - 16*c + 103*c**2 + 33*c.\nAnswer: -131*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 31*i - 28*i. Solve 0 = i*n - 6 - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 55.8. Let a = 0 + 0.5. Let f = -0.1 + a. What is the second smallest value in -2\/7, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 1773, 3996, 7109, 11112, 16005?\nAnswer: 21788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 - 11994*b + 199 + 36 - 12856*b.\nAnswer: -24850*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 700 divided by -14\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80028, 320305, 720810, 1281543, 2002504?\n\"Answer: 80114*a**2 - 65*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*a + 3 = 3*a, -2*p + 10 = -2*a. What is the least common multiple of p and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4733, -4734, -4735, -4736, -4737, -4738?\nAnswer: -4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 106*b - 346 = 4162 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + 0*p + 5*p)*(-2 + 0 + 1) + 5 - 3*p - 5)*(7 - 4 + 8).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*i*y**3 + 3*i + 1366066*y**3 - 3641*y**2 + 333 wrt y?\nAnswer: 246*i + 8196396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 8. Let t = 5 - j. Let v = -926 + 921. What is the second smallest value in -4, t, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7993911 and 83140.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 3*y - 15, -3*y = d + 10. Suppose -3*g = -2*w - 9, -d*w + 4*g - 7 = 3*g. Suppose 0 = n + n + 4. Are n and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -84*f + 579. What is r(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279624 bigger than 279651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.221 + -124.779. Let n = c + 126. Put -38, n, 0 in increasing order.\nAnswer: -38, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1388.56696 - 1388. Let f = -276.97696 + g. Let p = -278 - f. Round p to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15032890.\nAnswer: 2, 5, 73, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27090350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111421954 to the nearest integer?\nAnswer: 10556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1\/(-3) - 163\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*m**2 - 408*m**2 + 228*m**2 - 111*m**2.\nAnswer: -595*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 2*n - n**2. Let j(v) be the first derivative of v**6\/180 + 4*v**3 - 20. Let h(i) be the third derivative of j(i). Give d(h(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 - 302. Suppose 10*w + v = 22*w. Calculate the greatest common divisor of w and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(3) + -1 - sqrt(3))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u - 761 = 530 - 407 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k + 51*k + 172997 = 0. Is k 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 -3470, -3471, -3472, -3473, -3474?\nAnswer: -3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijjiiijiiijjjjjij. What is prob of sequence iji?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)**(-22)\/(h**6*h\/(h\/h**(3\/7))*h))**21 assuming h is positive.\nAnswer: h**(-1542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -102*c**7\/7 + 14*c**3\/3 - 2*c**2 + 677*c + 1. Find the second derivative of o(k) wrt k.\nAnswer: -12240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12177344?\nAnswer: 2, 190271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1403\/1860 + -2\/465. Factor 1\/2 + 1\/4*t**2 + r*t.\nAnswer: (t + 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 8. Sort g, -7, 3 in descending order.\nAnswer: 3, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 9*q - 255. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {g: 1, c: 1, i: 1, e: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20588037 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16104945167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(192\/(-16)) - -1430?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let v(j) = -3*j**2 - j + 1. Let w(u) = 4*a(u) + v(u). Let s be w(6). Suppose s*l - 64 = -l. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/420 and -65\/10446.\nAnswer: 731220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - 55\/10. Let f be g\/(15\/12)*-1. Determine x so that 4*x**4 - 2*x**4 + f*x**3 + 2*x**3 + x**4 + 3*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*g*s**3 + b**3*g*s**2 + 77*b**3*g*s + b**2*g*s**3 + 82*b*g*s**3 - 3*g*s wrt s.\nAnswer: 18*b**3*g + 6*b**2*g + 492*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96191.6 millennia in decades?\nAnswer: 9619160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b4 (base 14) to base 8.\nAnswer: 10566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -45. Let y be 6\/((-132)\/(-7)) + (-2)\/4. Sort y, m, -1\/4, 3 in decreasing order.\nAnswer: 3, m, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2)\/2 - 1). Let k(l) be the first derivative of l**2\/2 - 5*l - 112. Let b(r) = -1. Determine m*k(o) + 5*b(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -544*l**3 - l**4 + 2*l**2 - 2 + 546*l**3 + 0 - 5*l**2 - 2*l as w*l + q*l**3 + i + m*l**4 + t*l**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120011013 (base 4) to base 6.\nAnswer: 30545303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1386, 2580, 3780, 4986, 6198?\nAnswer: 7416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93746417 to the nearest integer?\nAnswer: 9682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*s + 53*s + 77 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763905?\nAnswer: 3, 5, 127, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16297 - -30399. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 70. Find the second derivative of -34*q**v + 39*q**3 + 3*q + 0*q wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302247437 + -5\nAnswer: 2302247432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 y when three letters picked without replacement from {u: 1, b: 4, q: 1, y: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*o = 3, -3 = d - 2*d - 3*o. Let f(g) = -3*g - 7. Suppose -16 = -4*u, 3*c = -c + 5*u - 36. Calculate the remainder when f(c) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -545 - -545. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -115*v**2 + 1400*v - 151 + 130*v**2 + 616 = 0.\nAnswer: -93, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -563 * -14\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -931351741437 + 931351738748.0000005415. Let o = 2689 + s. What is o rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 1125 + 1201. Which is the smallest value? (a) 0.4 (b) 434\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7. Let v(h) = -8*h**2 + 23*h + 32. What is 3*i(k) - v(k)?\nAnswer: 11*k**2 - 23*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.68, 3\/4, -1.6, 1\/2 in descending order.\nAnswer: 3\/4, 1\/2, -0.68, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-39) - 2*(-12)\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24 and 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87900 and 5210?\nAnswer: 45795900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 10*j - 6. Let d(p) = p**2 + 11*p + 13. Let t be d(-9). Let q be a(t). Let w = q + 91. Solve -3*g = -5*g + w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(12\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwn when three letters picked without replacement from {n: 2, w: 1, j: 3, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45231 (base 10) to base 6.\nAnswer: 545223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.146488134 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5653000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7431\/8 or -2?\nAnswer: -7431\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f**3 + 29278406*f**2 - 10338*f + 40400 wrt f?\nAnswer: 78*f + 58556812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2\/3 - 297832*o\/3 + 99276 = 0. What is o?\nAnswer: 1, 74457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3908121 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 212128610?\nAnswer: 212128605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 107596 + 322 = 0. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430 - 4*u**2 + 85 + 5*u**2 - 3*u**2 + 4*u + 4*u**2.\nAnswer: 2*u**2 + 4*u + 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13103074, -26206149, -39309224?\n\"Answer: -13103075*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -3*l + 2*l, 3*l + 3*q = 18. Solve 3*d - 28 = -5*y, l = d + y - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 2*g + 5*g + (4 - 5 - 1)*(-g - 4*g + 3*g) to the form s*g + q and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 6:42 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h*x**6 + 5*h*x**2 + h + 8*x**6 wrt x.\nAnswer: 360*h*x**3 + 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - b + 4*b)*(-3 - 2*b + 3*b + b) to the form t + d*b**2 + x*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 - 4*f**5 + 3*f**5)*((-5 + 3 + 0)*(1 - 3 + 4) - 5 + 2 + 0 + (-11 - 12 - 9)*(1 - 3 + 0)).\nAnswer: -114*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57575 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.876 to 1 dp.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252.89 - -253. Let b = -2 + 3. Put f, 2\/11, b in ascending order.\nAnswer: f, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q**3 - 9*q**2 + 21*q + 44. Calculate o(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 220*n - 11. Let g(y) = y**3 + 9*y**2 + 11*y - 18. Let x be g(-7). What is the tens digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76523 and 2891.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/30 and -73\/216255.\nAnswer: 432510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let a be z(-9). Let l be 0\/(1\/1*-1). Suppose l*c - 5*c + 135 = b, 0 = 3*c - 15. What is the highest common divisor of b and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*f**2 - 5*f**2 + 20*f**2)*(0 + f + 0 - 1) to the form c + n*f**3 + q*f**2 + p*f and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2. Let o be r(-1). Suppose -5*y - 21 = -2*i, i + i + 2*y = 28. Let u = i + o. Which is the third biggest value? (a) -5 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/6*(-24)\/(-10). Suppose -2*o + 2 = -d. Let q be (-55)\/10 + 10\/o. Which is the nearest to -8? (a) q (b) 0.05 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 0*c**4 + c**4 - 2*c**4 + 2*c**4 + 2*c**4 + (2*c**3 - 2*c**3 - c**3)*(-2*c + 2*c + c) - c**4 + 4*c**4 - 5*c**4 - 2*c**4 + 3*c**4 - 4*c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7143424 and 1744.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002823 is divided by 501206.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*c = 91*c + 12054. Suppose v - 864 = -3*u, c = -0*v + 2*v + 3*u. What are the prime factors of v?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*a - 8*r - 204, -2*r - 272 = 4*a. Let k = a - -74. Solve 0 = 2*g + 4*y - 14, -3*y = -g - k - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1084, 1165, 1330, 1579?\n\"Answer: 42*z**2 - 45*z + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1078\/9 + 120. Let w be ((-34)\/30 - 3) + 4. Is g smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**5 - 36*c**2 + 12*c**4 + 9*c**4 - 21*c**4 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 189. Let v be n + -1 - 0\/(-2). Suppose -2*d - 30 = -y, -4*y + v = 5*d + 39. What is the highest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/11 + 2324*o**3\/11 - 2390*o**2\/11 - 74312*o\/11 + 139560\/11 = 0. Calculate o.\nAnswer: -1163, -6, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 3, 1.\nAnswer: -16, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9, 1\/4, 0.1, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1, -3, 4, -2 in descending order.\nAnswer: 57, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/14)\/((25\/4788385)\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeezeez. What is prob of sequence eeee?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 9 - 3*x - 10*x**2 - 1. Suppose 0 = -m - 2*j + 20, 62 = 4*m + 5*j - 15. Suppose m = 5*u + 58. Let n(a) = -a**2 - a + 1. What is u*n(o) + f(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.43 (b) 2 (c) 802\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(1008)*-2 + sqrt(1008) + sqrt(84)\/(sqrt(12) - -4*sqrt(12)) + (-2 + sqrt(7))*3.\nAnswer: -44*sqrt(7)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/10 - 943969*c**4\/10 + 3272249*c**3\/2 - 5348863*c**2\/10 = 0.\nAnswer: 0, 1\/3, 17, 314639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let d(w) = 112807728*w**2 + 2. What is d(o(c))?\nAnswer: 451230912*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/570 (b) 0.2 (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098784736.\nAnswer: 2, 7, 4905289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 15*t - 5. Let r(f) = f**2 + 8*f - 2. Let p(b) = b**3 + 51*b**2 + 518*b - 5. Let k be p(-37). Determine k*r(l) + 2*c(l).\nAnswer: -l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) -50 (c) -2\/11 (d) -5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/120 + 5*q**4\/24 + 2*q**3\/3 + 5. Let a(h) be the third derivative of r(h). What is the tens digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7617362074 to the power of 1\/2, to the nearest integer?\nAnswer: 87278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, j + 3*j - 16 = -i. Suppose 30 = 3*d - j*d. Let s = d - -59. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z + 1. Let d be y(-1). Suppose -4*l + 8*l - 52 = d. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.19 + 34. Let a = -26.27 + 27.6. Let v = c + a. What is v rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -46. Which is the nearest to -29? (a) 3\/7 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let s(p) = p**2 + 5*p + 7. What is the remainder when 13 is divided by s(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - ((sqrt(612)*2)**2 + 4 - sqrt(612))) + 4 + 0.\nAnswer: -2448 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 66 = -r, 4*z = -z + 5*r + 155. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2*x**3 - 2*r**2 - 32*r - 450*x**3 - x wrt x.\nAnswer: 12*r**2*x - 2700*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let k(u) be the second derivative of 79*u**7\/2520 + 49*u**4\/12 + 4*u - 6. Let o(c) be the third derivative of k(c). Calculate g(o(f)).\nAnswer: -79*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 - 7*q + 14. Let c(x) = -x**2 + x - 2. Let t(i) = -28*c(i) - 4*h(i). Let u(z) = 3*z. Give t(u(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 7*s - 56 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/1551483 and -31\/4431.\nAnswer: 10860381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97919.7 hours to days.\nAnswer: 4079.9875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23305857 times 3\nAnswer: -69917571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/3 and 32\/200241.\nAnswer: 200241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27657247.3 from 8.2.\nAnswer: 27657255.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*d + 18*d + 40*d**2)*(22 - 1308*d - 176 + 1307*d) to c + o*d**2 + h*d**3 + v*d and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 458. Let x(z) = 226*z + k - 336*z + 177*z. Let j(i) = -i**2. Calculate j(x(f)).\nAnswer: -4489*f**2 - 268*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413 a factor of 63132840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32448, 129302, 290732, 516738?\n\"Answer: 32288*j**2 - 10*j + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 19. Suppose 0 = -3*s + x - 0. Suppose -6*m + 48 = 2*m. Is s > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 46*n**2 - 8352*n - 91. Give r(61).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714884 divided by -21026.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let x = u - -2. Let d = 0.19 + 0.01. Put 2\/3, d, x in increasing order.\nAnswer: x, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1278)\/(-72) - 22)\/((-1)\/4). Solve -4*d - x = 5*q, 5*q + 4 = d + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - k)*((-4 - 3 + 2*k + 6)*(18 + 77 + 51) + (-k + 2*k - 2*k)*(-4 - 1 + 3)) in the form c*k**2 + y*k + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 smaller than 2002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20803 (base 9) to base 12\nAnswer: 7b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-14) - 552\/966.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21744?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67027, -134063, -201099?\n\"Answer: -67036*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.9295 + -0.0295. Let d = 46 - g. Let l be 0 - 1*2\/12. Which is the closest to d? (a) 5 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1238 + -1125. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34054156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.1 (c) -29\/19 (d) -0.5 (e) 796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -112\/3*p**2 - 472\/3*p**3 + 0 + 52*p**4 + 0*p + 18*p**5 = 0.\nAnswer: -14\/3, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5, a: 3, l: 2, z: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -1)\/(-22 - -24). Let v be -1 + (-14)\/(-16) - 3\/12. Let f = 1 + -1.1. What is the nearest to f in g, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 8\/3 + 0*g + 2\/3*g**3 - 2\/3*g**5 - 14\/3*g**2 + 2*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 23 = 47*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = 5*j + 2, -2*t = 2*j + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 3489980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 39\/8 and -4\/155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.400088. Round o to six decimal places.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387735, -387737, -387741, -387747, -387755?\nAnswer: -387765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s - 2*s - s + (5*s - 2*s - 2*s)*(-2 + 2 + 2).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 64 = 2*s, -2*y + 4*y = -8. Let l be (-9)\/((-54)\/40)*s\/30. Let n(z) = z**3 + 7*z**2 - 10*z. What is n(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) -1567.281 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 + 7*x + 4. Let b be 4\/8 - (-26)\/(-4). Give d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 3*q - 6, 0 = -4*w - 3*q - 6. Solve w = 5*b + 10, 4*k - 20 = b + 3*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**5 + 2*r**2 + (0*r**2 - 2*r**2 - r**2)*(4136*r**3 + 3671*r**3 - 7186*r**3).\nAnswer: -1861*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 170. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -36.3. Let g = s - 16. Let n = 30 + -119\/4. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/462036 and 61\/462036.\nAnswer: 462036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100715 plus -47.8534?\nAnswer: -2100762.8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100910.937 - -101008. Let s = d + -97. What is s rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.352 to zero decimal places.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-3) - 4\/(-3). Suppose -250 = -2*y + 4*x + 216, 5*x = p*y - 1140. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -4443\nAnswer: -13329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 2*g + 2*g + 3*g**2 - 2224 - g.\nAnswer: 2*g**2 - g - 2224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 8) to base 2.\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/4 + 383*p**2\/4 + 9120*p - 9216 = 0. What is p?\nAnswer: -192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + h**4 - h**2 + (h**4 - 1 + 1)*(1 + 1 + 2) - 2*h**3 + 2*h**3 - h**4 + 0*h**4 + 0*h**4 + h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1413331\/42 - 33648. Calculate the common denominator of c and -37\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 - 158?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -578290.\nAnswer: 1\/578290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -572 in -5, 20\/3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**3 - 4*j**2 + j**4 - j - 26*j**2 + 0*j - 16*j**3 to the form i*j**2 + z*j + a*j**4 + l*j**3 + h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*s - 3 = 0, -3*s - 9 = -2*t + 4*t. Let j be ((-150)\/(-4))\/(t\/84000). What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.7 + -5.7. What is the closest to 0.023 in 0.3, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1448960, -1448958, -1448956, -1448954?\n\"Answer: 2*y - 1448962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431 (base 7) in base 2?\nAnswer: -1110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 10. Let o be y(-8). Let u be -3 - 18\/(o - 0). What is the units digit of (10\/u - 0)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/4)\/((-2)\/(-119)). Let q = z - 32. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {n: 1, y: 1, g: 11, d: 4}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 6\/7, -0.1, -0.54, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - ((-6)\/2)\/1. Let p be 38\/t - 6\/(-21). Suppose -7 = -p*z - 1. Solve 0*a + z = 2*a + 2*k, 0 = k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 3. Let j be y(-2). Let i = 1 - j. Let n be ((-2)\/i)\/((-4)\/30). Which is the nearest to 2\/7? (a) -0.5 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(38)\/sqrt(2) + -5 + (sqrt(171)\/sqrt(9)*3)**2*-6)*-5.\nAnswer: -5*sqrt(19) + 5150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-860)\/12 - (-2)\/(-6). Let o = -41 - y. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(0 + n + 0) - 10477*n + 480435 - 480435)*(-2 + 2 - n).\nAnswer: 10475*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 501482877 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 44 + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/5, 4, 1, 1144?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 + -253 - (0 + 9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13628749*k**5 + 7074*k**2 - 1086*k wrt k?\nAnswer: 817724940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 50*h - 48. Let t be j(-49). Let m = 6 - 1. Let q be -7 + m - 5\/t. Is q not equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and 75.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13656534 (base 7) in base 2?\nAnswer: 100111011010110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4 - j**2 - 19*j - 4*j + 5*j. Let v be b(-8). Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*r - 6, -634 = -2*o + 4*r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 5*v**3 - 488 + 248 + 6*v**4 + 3*v**3 + 241 as p*v + f*v**3 + r + s*v**4 + q*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272234970 is divided by 809?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 109 = -89. Sort -3, q, -5, -1.\nAnswer: -5, -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 + 7*d + 27. Let m(u) = -4*u**2 - 3*u - 13. Let q = -24 - -17. Let v(w) = q*m(w) - 3*l(w). Find the first derivative of v(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g. Let m(o) = -4*o**3 + 3*o**2 - 4*o. Let t(x) = m(x) + 5*p(x). Let r be t(1). Let u(v) = v + 12. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*2\/(-4)*0. Let r = 0 - a. What are the prime factors of (r + 3*2)*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9 + 172\/9*i - 34\/9*i**2.\nAnswer: -2*(i - 5)*(17*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9113.65 minutes?\nAnswer: 546819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764, -773, -782, -791, -800?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 5, j: 3, x: 5}. What is prob of picking 1 x, 1 j, and 1 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*k - 10, 2*n - 5*n - 6 = 4*k. What is the smallest value in n, -0.3, 4, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6509, -13015, -19509, -25985, -32437, -38859?\nAnswer: -45245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/2 + 2\/(-4). Suppose -2*c = 2*c. Let k be (c - 8)*1\/2. Put i, 3, k in descending order.\nAnswer: i, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 9*b - 708 = 0. Suppose -9*o = -3*o - 180. What is the remainder when (b\/(-10))\/(6\/15) is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1868 + -2805. Let w = -899 - l. What is the highest common divisor of w and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:00 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than -261578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 + 2*g. Suppose s - 5*s = -12. Determine r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49 + 10*s**2 - s**3 - 32*s - 31*s + 5*s**2 = 0. Calculate s.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40835 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -506*p + 156998. What is z(310)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 8:27 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:16 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**2 - 19*k + 21. List the prime factors of x(-13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/3634*(-12)\/224. Let y = j + -1348601\/3281502. What is the common denominator of y and -25\/9?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-30)*2*10\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175987605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let v be (-4)\/((-40)\/(-22) + u). What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 33. Let b(y) = 11. Let z(t) = 6*b(t) + 2*i(t). Let p(r) = r - 2*r - 4*r. What is z(p(w))?\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26910 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -141620119 greater than -708100599\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 4303612.45953.\nAnswer: -4303616.45953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160773 = -2354*t - 129*t - 35384 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 2*o + 1209*l - 1192*l, 0 = 5*o - l - 11 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1244400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*x**4 + 1 + 72*x**3 - 72*x**3 wrt x.\nAnswer: -404*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136335330?\nAnswer: 2, 3, 5, 1514837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112\/255 + -2\/51. Let v(s) = 3*s**2 + 54*s + 134. Let u be v(-15). Let d = 10 + -8. What is the third biggest value in h, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.037595 times 0.05\nAnswer: -0.00187975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-5) - 40\/(-50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -1558, -5257, -12464, -24349?\nAnswer: -42082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -7*n**6\/360 + 5*n**4\/12 - 12*n**3 - 36. Let j(s) be the third derivative of l(s). What is the derivative of j(b) wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dqddqd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, -4, 0.3, 3\/8, -2\/327?\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -7. Suppose -t*a - 2 = -6*a. Solve 5*x - 3 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 4*i**2 - 4*i**2 + (-5*i**3 + 3*i**3 + 3*i**3)*(-i + i - 2*i).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 74\/2 - 1. Let s = -17 - q. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.00901 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 64 - -8 - 29.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -341 + -265?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 190866253379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 12, -43 = -3*p - 5*j. Suppose 5*w + p = 3*s + 121, 4*s - 31 = -3*w. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 19, 5 in ascending order.\nAnswer: 1, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -7*j + 6 - 7223\/2*j**2. Let h be f(-9). Round h to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 168\/(-8) - -9 - (-11 + 4 + -19).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 158 = 128. Let g(w) = w**3 - 4*w + 15. Let a be g(o). List the prime factors of a - (3 - 5 - -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 0.15. Let x = -121.12 - -121. Is x at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = -60. Let d = m - -65. What is the second derivative of 2*c + 120*c**5 + 111*c**d - 248*c**5 wrt c?\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, k: 13}. What is prob of sequence mm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*b - 2*x, 2*b = -4*x - 244 + 252 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.198? (a) -1\/5 (b) -190\/3 (c) -25\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 5.11. Let r = -38 + 27. Let m = -12 - r. Put m, 2, b in increasing order.\nAnswer: b, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.33 - -10.67. Let r = 0 + 20. Let f = m - r. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 7*x - 43 = -16*s, 9*x = -s - 17 - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1 (c) 1785 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 14 = -4*v - 2, 5 = -2*v - 5*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0 - (-16 + 7)) + -2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0 - 2)\/(-62 - -61). Let c be 5*(-1 - 21\/(-15)). Solve -o = -c*u + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v - 1. What is y(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by ((-7)\/(126\/(-117)))\/(105\/(-108) + 1).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 12 + (98 + -56 - -65)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 14*q**2 + 57*q - 800. Let u be o(14). What is the nearest to -1\/2 in u, -0.4, 85, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744226 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 15 + 32)*(m - 3*m**3 - m).\nAnswer: -339*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -39. Let a be 1\/(11\/v + -3). Is ((-137)\/a)\/(4*(-2)\/(-64)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107327013*p**2 + 5*p**3 - 107327013*p**2.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -19. Calculate the common denominator of 2\/(-8) + y\/(-8) and (-7)\/(-9) + (0 - -2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2530*o**3 + 15*o**2 - 10*o + 5. Let l(h) = -1264*h**3 - 9*h**2 + 6*h - 3. Give 5*l(n) + 3*r(n).\nAnswer: 1270*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211\/59 or 4?\nAnswer: 211\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31079\/42 + -5335\/7. Let m be (8\/2)\/2 - 3. What is the common denominator of q and m\/4 + (-75)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -39. Let k(s) = -2*s - 22. Let u be k(a). Solve -x + 3*x + 5*d - 29 = 0, -3*x - 14 = -u*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let o(y) = -y**2 + 4*y - 4. Suppose -3*j = -4*j - 1. Let t = -606 + 602. Determine j*o(k) + t*g(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/7)*y)\/y*((y*y**(-1\/9))\/y)\/y*y)\/((y*y\/y**3)\/(y*(y**(4\/5)\/y)\/y*y)) assuming y is positive.\nAnswer: y**(487\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(5*(-3*sqrt(432))**2*-2 - -6*((sqrt(432)*-2 + sqrt(432))*6)**2).\nAnswer: -326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 12. Which is the third smallest value? (a) -1\/6 (b) k (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gms when three letters picked without replacement from gumsm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36000665.4 to the nearest one hundred thousand.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 - 60 = 0. Suppose 5*i = 4*r + 3, -i - 2*i = -5*r + 6. Let y = i + 0. Solve 3 + 10 = 4*b - j, -y*j + d = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - 34\/(-6). Let s(b) = -3*b**2 + y*b**2 - b**2. Let j(u) = -u**3 - 3*u**2 + 2*u + 3. Let i be j(-1). Calculate s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2461*l**2 - 574*l + 574*l as q*l**2 + i + h*l and give q.\nAnswer: 2461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3\/2 - 1995*v**2\/2 + 7101*v + 30240 = 0.\nAnswer: -672, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28dbda - -4?\nAnswer: 28dc00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28549553431 - 1?\nAnswer: 28549553430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(((sqrt(300) - (sqrt(300) + sqrt(300) + -2*sqrt(300)))**2 + sqrt(300) + -5)*-3 + -3 + -2).\nAnswer: -1784 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3)))\/i)\/i**(-3\/2)*(i**(-2\/9)*i)**(-3\/7) assuming i is positive.\nAnswer: i**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -401, -395, -389?\n\"Answer: 6*t - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2507 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k + 35*k = -0*k - 236. Which is the second smallest value? (a) -1\/9 (b) -1 (c) k (d) 1 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7408 and 68751796.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 958623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s - s + 2*s - 6*s + 3*s + (0 + 0 - 1)*(-4 + 4 + s))*(6*s**2 - 6*s**2 - 6*s**4).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3 + 6*q - 56.\nAnswer: -12*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-12)\/(-300))\/(-1 + 2). Solve 3*k - 12 = p, 18 - 26 = 4*v - 4*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7272, 29198, 65778, 117012, 182900?\nAnswer: 263442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5 + 8463*w**4 - 25467*w**3 - 584011*w**2 + 1210566*w - 609552 = 0. Calculate w.\nAnswer: -8466, -8, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 10*c. Let g(t) = 8*t - 46*t**2 + 18*t**2 + 27*t**2. Let m(l) = 5*g(l) + 4*k(l). Let y(u) = -99*u. What is y(m(d))?\nAnswer: -297*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 4. Suppose -2*d = -4 - 6. Let k(x) be the first derivative of -x**2 - 3*x - 1. Let c = 2 - -5. Determine c*k(a) + d*z(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 424369.9ng?\nAnswer: 0.0000000004243699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/12 - 9*a**3\/2 - 13*a**2 + 151*a + 19. Let p(t) be the first derivative of i(t). Factor p(q).\nAnswer: -(q + 1)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 18*m + 27. What is d(-9)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/22 + 16\/(-88). Find the second derivative of x*m - 5*m - 4*m**5 - m wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904348199 to the nearest integer?\nAnswer: 30072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 7001.\nAnswer: 28004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5044\/260*((-20)\/(-7))\/((-16)\/56))\/2?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/62130 and -19\/630.\nAnswer: 1304730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(1 - 1). Let c(m) = -m**3 - m**2 - m + 47. Is c(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p)*(0*p**2 + 0*p**2 + p**2) - 3*p**2 + 12*p**3 + 3*p**2 + p**3 + p**3 - p**3 - 2 + 2 - p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 36*b - 10. Let j(x) = 33*x - 11. Let f(d) = -4*j(d) + 3*m(d). Let t = 2 - -1. Let o(w) = -5*w + 3. Determine t*f(k) - 14*o(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337948?\nAnswer: 2, 13, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 11944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 411. Calculate the highest common factor of 54 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(2448))**2*-6 + (-3 + -2 + sqrt(272))**2 + 3.\nAnswer: -14393 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -43*w + 289. Calculate l(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 98186.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.3 and 37.\nAnswer: -788.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 586*c + 92274. Give t(-156).\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2729 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 236 - 32 = 110 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153) + sqrt(153)*-1*-2 + 2*-1*sqrt(153)))\/(-1*sqrt(576)*-1 - sqrt(576) - -4*2*sqrt(576)).\nAnswer: 3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10897 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-270))\/(130\/(-2340))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*d**2 - 263*d**2 + 2 - 173*d**2 + 48*d**2 to t*d + b + w*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 + 23*i - 91. Calculate the remainder when (-75)\/12*(-11 - 1) is divided by q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233 (base 4) to base 10\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2018 and 1400.\nAnswer: 1412600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(252) + -1) + -5 + sqrt(252) + -2*sqrt(252))**2*-5.\nAnswer: -61745 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59434 or 59449?\nAnswer: 59434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 7*d - 6*d + 5*d - d - 2 - 2*d**2 to q*d + g + y*d**2 + x*d**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-3)\/2). Is 0.55 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1469 - -2065. What are the prime factors of o?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(490) + 2*sqrt(490) + sqrt(490)))\/((-3*sqrt(80))\/sqrt(4)).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 12. Solve -4*n - n - t = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68850 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/115 or 1?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01648 - 0.23362. Round y to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2 + 2)*(-1 - v + 1) - 2*v**2 - 1 + 1 + (2*v - 2*v - 3*v)*(-2 + 2*v + 2).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1 (c) 5 (d) 539\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (1 + -1 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*o - 26380, 4*q - o - 4*o = 21104. Let s = 4056 + q. Suppose l + s = 5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1146 + -1137. Solve m*g = -0*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -2372065.31.\nAnswer: -2372065.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7 - 5*t**2 + 3 + 4 - 6. Let q(m) = -4*m**2 - 5. Calculate 6*q(s) - 5*u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435311, -436347, -437383?\nAnswer: -438419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76)*2 + sqrt(76)) - 6*sqrt(76)*-2)\/(sqrt(8)\/((5*(sqrt(32) + sqrt(2)) - sqrt(2)) + sqrt(2))).\nAnswer: 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85319 - 85321. Let s be (-2 - 16)*(-2)\/3. Let w be (-10)\/s - (-2)\/2. What is the third smallest value in c, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 5, r: 3, d: 1}. Give prob of sequence uu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 6, i: 7, w: 3}. Give prob of sequence twwz.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -902271 plus 0.4?\nAnswer: -902270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -241820726?\nAnswer: -241820726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -26\/492665, -5\/6 in descending order.\nAnswer: -26\/492665, -0.07, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((64\/4)\/(-4))*5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3643*l**2 - 402*l**3 + 3643*l**2)*(0*l + 2*l + 5*l + (-3 + 3 - 1)*(-3*l + 6*l - l)) to w*l**2 + z*l + u + t*l**4 + o*l**3 and give t.\nAnswer: -2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*s + 13, 7 = -5*o - 14*s + 18*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2238 divided by -2?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/4 + 2098*r + 839.\nAnswer: (r + 1678)*(5*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4210 + 2?\nAnswer: -420a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2206 - 2170. Calculate the smallest common multiple of 54 and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 12*a + 4. Let j be p(12). Suppose 10 + 6 = j*s. Let h be (125 + -3)*(16 + s). Round h to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177120?\nAnswer: 2, 5, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 4 + j - 13.\nAnswer: j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 - 16*x - 12. Let j be q(-4). Solve j*v = -7 - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2017*q - 2012*q = 48905. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 5*d + 5*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00284 rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3888) + (sqrt(3888) - (1*2*sqrt(3888) - sqrt(3888)))))\/((sqrt(162)\/sqrt(6) + sqrt(27))\/sqrt(3) + (3*sqrt(72))\/sqrt(8))*-3.\nAnswer: -36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + j**2 - 20*j**4 - 3*j + 2*j**3 + 56*j + 8 + 19*j**4 to a*j**3 + t*j**4 + m*j + r + o*j**2 and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 15*w**2 - 25 + 16*w**2 - 29*w**2. Let q(o) = 2*o. Let x(p) = -p. Let a(t) = q(t) + x(t). Give f(a(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/5)*y*y)\/y**(-8\/3) assuming y is positive.\nAnswer: y**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -879 - -1330. Suppose 10*y - 11 = 9*y. What is the greatest common divisor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o - 18. Let n = 139 + -195. Let r = -51 - n. Solve 3*h + r*v = 19, -5*v = o*h - 4*v + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17603.4 tonnes to milligrams.\nAnswer: 17603400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 7, 27, -5 in descending order.\nAnswer: 27, 7, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -25 (c) -13 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 13 = -y, -4 - 23 = -3*f - 3*y. Suppose 4*k = 5*h - 265, 3*h - 328 = f*k + k. Is (-2)\/10 - 19058\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 70.2. What is the fourth smallest value in -0.4, 1\/3, m, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 0*b - 72 = 0. Suppose 0 = -6*l + b*l - 2280. What is the highest common factor of l and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**4\/4 - 6*x**3 - 19*x**2\/2 - 7*x - 143. Does 26 divide q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 18, -2, 1, -3, -17.24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-583 + 1049 + 1290 - 180)*(3*z**3 + z**4 - 3*z**3).\nAnswer: 1576*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 14. Is 886 + 7\/((-21)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5071, 20253, 45591, 81115, 126855, 182841?\nAnswer: 249103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 665626745 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4318675, -8637347, -12956013, -17274673, -21593327, -25911975, -30230617?\nAnswer: -34549253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**8\/840 - t**6\/150 + t**4\/60 + t**2 + 217. Suppose g(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 5*b - 19, 15*b - 10*b + 20 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.40748 - 0.10748. Let f = 0.05 + -0.35. Let n = -1.3 - f. What is the closest to n in 1\/3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f5 (base 16) in base 10?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1322\/105 + 1672583\/132720. What is the common denominator of l and -81\/1738?\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(684) - (sqrt(684) + -3)) + 0)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-4 - -6*(1*sqrt(5))**2 - ((sqrt(135)*3)\/sqrt(3) + sqrt(45))\/sqrt(9).\nAnswer: -12*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -13. Let l = i + -12. Calculate the highest common factor of 30 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 36 = 20*h. Suppose 0 = -h*l + l + 116. Calculate the greatest common factor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/(-8))\/((-2)\/8). Let n = a + 26. Suppose 3*l = -0*l - n, 5*s - 232 = l. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhrrhrrhrrhrr. What is prob of picking 1 h and 1 r?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 383, 933, 1483, 2033, 2583?\n\"Answer: 550*z - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 3*w**5 - 2*w**2 + (2*w**4 + 0*w**2 + 0*w**2)*(-2*w + 2*w + 3*w) - w**5 + w**5 - w**5 - 8*w + 7*w**5 + 8*w.\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -6\/7, 5.8, -4 in decreasing order.\nAnswer: 5.8, 0.4, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*r = 5*a - 1943, 0 = 4*a + 2*r - 1556. Suppose 3*f - 4*t = -a + 1304, 5*t = -5*f + 1545. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, 0, 1430, 2.\nAnswer: 0, 2, 4, 91, 1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 + 4 = 0. Suppose 3*c = -t*f + 28 + 18, 0 = -3*f - 12. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, c: 4, e: 2}. Give prob of picking 1 k and 3 c.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*c + 13, c + 2*a = -3*c + 10. Let u be 0 - c - -3 - -3. What is the first derivative of 0 + j**u + 1 - 3 wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13393 = 9*x - 68*x. Is x >= -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2811 is divided by -58*(2\/16*32\/(-8) + 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:43 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13309354?\nAnswer: 2, 31, 214667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and 61\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8042.8358 to the nearest 10.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -57439826 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 - 881*c + 35483. Give k(-210).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 1}. What is prob of sequence mm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**3 + 5*y**2 - 5*y. Let g(w) be the third derivative of 3*w**6\/20 + w**5\/5 - w**4\/2 + 12*w**2 + 4*w. Give -5*g(h) + 12*r(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7421341 (base 11) to base 12.\nAnswer: -4467274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:06 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-1)\/3)\/(-1)). Suppose 3 = p*k - 3. Solve 6*x = k*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 7*d**3\/6 - 2*d. Let a(b) = -b**3 + 2*b**2 + 2*b - 2. Let v be a(2). Let k(w) = -4*w**2 - v*w**2 + 5*w**2. Give n(k(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 750313347*y**5 + 334*y**2 - 13911*y - 19.\nAnswer: 45018800820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-15) - (-22)\/6. Suppose 9*v = p*v + 270. What is the greatest common factor of v and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**7\/42 - v**6\/10 + v**5\/4 + v**4\/4 - 2*v**3\/3 - 123*v + 16. Factor f(y).\nAnswer: -y*(y - 1)**2*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**2 - 5*g**2 + 2*g + 2*g**2 + 10*g wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 38*b**2 - 40*b + 32. Let v be k(39). Suppose 5 = 5*n - 20. Let o(r) = -n - r - 4 + 1. What is o(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -34*b**3\/3 - 23*b - 56. Let f(c) = 204*c**2 + 139. Let x(d) = 6*f(d) + 34*i(d). What is the first derivative of x(v) wrt v?\nAnswer: 136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 136, 195, 256, 319, 384?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12544*d + 23*n = 12548*d + 103, -11 = -2*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/524 and 70\/14541.\nAnswer: 58164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16*z = 17*z + 29, 3 = z for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 1190590*n**3 - 257011920*n**2 + 18501125760*n - 443982228480 = 0.\nAnswer: 72, 237902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222.6 * -52.\nAnswer: 11575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 0.27687.\nAnswer: 0.221496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awa when three letters picked without replacement from awwwawaaaaawww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3257, -6288, -9317, -12344, -15369?\nAnswer: -18392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114.4 - 114. Sort -5\/6, 5, l, -2\/13 in ascending order.\nAnswer: -5\/6, -2\/13, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -81384.\nAnswer: -81387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189499 divided by 1207.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313001013022 (base 4) in base 6?\nAnswer: 1233042414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145387306 and 1754.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - (21 + 1 + -8 + -5) - -13.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 34*i**2 + 135*i - 71. Is o(-51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 19. What is w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -5 (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/253893 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -63, 0.0771, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 - -2111211012002?\nAnswer: 2111211010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 + -15779.2?\nAnswer: -15962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-35))\/(2\/10). Suppose -a*s = -5 - 1. Let f(g) = -14*g**2 + 5*g**2 + 3*g**s + 5*g**2 - 2 - 4*g. Determine f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 8*y**2 - 3 - 5*y**2 to r*y + o*y**2 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1812 or 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 154*o - 34. Let h be a(4). Suppose 2*w - 4*f - h = 0, 0*f - f = -w + 286. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j - 45 = 0. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 19*h**7\/105 - 7*h**5\/10 - 11*h**2. Find the third derivative of v(c) wrt c.\nAnswer: 912*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let l(v) = -v. Calculate 20*l(u) - 4*x(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1744*o + 29409 - 61718 = 44427 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*m**4 - 2*m**3 + 6*m**2 - 5*m + 2276141.\nAnswer: -60*m**3 - 6*m**2 + 12*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:50 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82638269*f**3 + 5216029 wrt f.\nAnswer: 247914807*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 30 + 5 - 1 - y**3 - 19.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-527)\/(-136))*(-3)\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -1\/4171, -1?\nAnswer: -1\/4171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + (sqrt(108) - (1 + sqrt(108)))*-3)*-5 + (sqrt(108) + -1*(sqrt(108) - 2*sqrt(108)) - (2 + sqrt(108))*6))**2.\nAnswer: -8864 - 4992*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 25*z**2 + 47*z - 3. Let p be w(-23). Let f = 30 + p. Suppose 2*l + 8 = -0*l, -4*r = -f*l - 664. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -93, -140, -187, -234, -281?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 91834 and 1?\nAnswer: 91833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 10. Suppose -3*b + 2*b = -4*h - 14, 6 = -3*h. Let n(u) = 7*u**2 - 19. Let j(x) = b*n(x) - 11*f(x). Differentiate j(c) with respect to c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-5)\/(-20) + (-209)\/532). Solve -f*m + 3649 = 3663 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 824 = 3*b, w + b - 816 = -4*b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 1, 4*h - 78 = -2*n. Calculate the greatest common divisor of h and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 1193, 2684, 4771, 7454, 10733?\nAnswer: 14608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 40*l - 66*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*c - 64*c + 87*c)*(2*c - 7*c + 4*c) + 4*c**2 - 3*c**2 + c**2 + c**2 + 4*c**2 - 3*c**2 + (0 + 3 - 1)*(3 - c**2 - 3) + 5*c**2 + 0*c**2 - c**2.\nAnswer: -47*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - -1. Suppose s - 8 - v = 0. Suppose -24 = -s*y + 22*y. Solve -5*k + 7 = -y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138*(-1 - (-14)\/4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 18361 - 1881 = 0. What is the smallest common multiple of 10 and s?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4001, -0.3, -1\/4, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 10, z: 6}. What is prob of sequence zppz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqlluxxqx. Give prob of sequence qx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.154897 rounded to 2 decimal places?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 465 = -d. Suppose 3*a = -2*a - g + d, 3*a - g - 59 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 0*b**2 + 0*b**4 - 2*b**4 - 2*b**4 - 2*b**3 to g*b**3 + k*b**4 + y*b + n*b**2 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -2*q + 0*q**2 + 1\/24*q**3 - 1\/32*q**4 + 1\/160*q**5 - 6. Factor f(t).\nAnswer: t*(t - 2)*(t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 45831075*i**2. Let t(p) = -7*p**2. Give t(r(g)).\nAnswer: -14703412049589375*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22\/9 (b) 2\/7 (c) -4 (d) -0.3 (e) -2\/3111 (f) 1\/3 (g) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1364 and 7843.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17205189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 19. Let f be u(-13). Let v = 9 - f. Suppose 5*h - 3*h = 3*b + 2, -v*b = 0. Solve -3*r + h = 5*m, 5*r - 7*m = -2*m + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.58712 to two decimal places.\nAnswer: -5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 3) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 n when four letters picked without replacement from nejrnrneenrjnjnerjnn.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 - 16*q**3 - 20*q**2 - 8*q = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -51 (b) -3 (c) 3.3 (d) 2 (e) 0.269\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.758 + -8.8. Let g = r - 3.958. Which is the second biggest value? (a) 5 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 11*g - 15 = 0. Suppose -2*l = -3*l + g. Which is the nearest to 1? (a) l (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 7*y**4\/12 - 5*y**3 - 930*y**2 - 1555*y. Find the first derivative of k(s) wrt s.\nAnswer: 14*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16542, 65766, 147824, 262722, 410466?\n\"Answer: p**3 + 16411*p**2 - 16*p + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57130742 divided by -5?\nAnswer: 57130742\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 1)*(-4 + 2 + 4) + 5 - 5 - 2)*(-15 + 0 - 1)*(-2*k + k + 0*k)*(1 - 6*k + 4 - 3) as x*k**2 + j + u*k and give x.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l + 19*l = -50*l + 455 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*y - 77 + 9*y**3 + 160 - 83.\nAnswer: 9*y**3 + 166*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 2 - (-55 + 6 + 35)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*u - 54, 0*a + 2*a + 5*u = 43. Solve a = 4*t + n, -n = t - 6*t + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-334)\/(-22) + (5\/11)\/(45\/(-18)). Let q be ((-1)\/(-1))\/((-2)\/(-4)). Suppose 147 = -q*p - h. Is p <= -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13113 (base 4) in base 6?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22723664, 45447327, 68170990, 90894653, 113618316?\nAnswer: 136341979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 150*o**2 - 2045*o + 258. Give z(-57).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from {h: 4, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:38 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*c - 2*q - 32, -15 = 5*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:47 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*b - 12 = 0, -3*b + 3 = -2*r + 5. Suppose r - 7 = -p. Solve p*y + 15 = 2*o, 5*y = 3*o - 2*o - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**5 - 7*a**4 - 2*a**3 + 19*a**2 - 3. Let m(o) = -3*o**5 + 7*o**4 - 20*o**2 + 4. Let i(y) = 4*b(y) + 3*m(y). Suppose i(z) = 0. Calculate z.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/16)\/(25\/(-50)) - 8*2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(3\/3*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 53, 41398.\nAnswer: -1, 4, 53, 41398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.18. Let d = -32983\/5 - -6598. Is d at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 17*d**2 + 27*d + 50. Determine j(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Find the third derivative of 5*g**5 + 2*g**3 - j*g**3 - 6*g**2 + 0*g**3 wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + -94 + (-24 - 0) + -16.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21534 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -3\/4, -25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -251058 divided by 6?\nAnswer: -41843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 0.4. Let q = -0.3 + m. Let g = 345\/7 - 49. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4454*b - 98429 = -533*b + 1525*b - 359837 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54500319 is divided by 1146.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 22. Let t(f) = 4*f + 14653. Determine -3*j(p) + t(p).\nAnswer: p + 14587","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 350*r - 347*r + m, 2*r - 3*m - 18 = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1513, 0.5, -4, 0.2.\nAnswer: -1513, -4, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 4, j: 7, k: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(10206\/828)*((-1296)\/12)\/(-12)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -217? (a) 3 (b) -0.3 (c) 23 (d) -2\/19 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57555, -57745, -57935, -58125, -58315, -58505?\n\"Answer: -190*s - 57365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, s: 2, g: 2}. Give prob of sequence nng.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4480*u + 2238*u + 2242*u - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -3\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 59*l = -2*u + 226, 10*u + 2*l - 1102 = 0. Solve 109*d = u*d - 5*i + 13, 2*i = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 2*j)*(-1 + 1 - j) - 5*j**2 - 2*j**2 + 4*j**2 + 1138 + 0*j**2 + 8*j**2 - 1130.\nAnswer: 4*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/6 - l**2\/2 + 3*l. Let q be t(0). Let s be (0 - -10)\/(q\/(-8500)). Round s to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*m - 2*m - 3, -4*m - 16 = 4*u. Let n(p) = -3*p + 4*p - 1 - 3*p. Determine n(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.098332 tonnes in milligrams?\nAnswer: 5098332000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -10)*(4246\/528 - 8). Let a = 7 - 5. Let g = -3 + a. What is the second smallest value in g, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/420 + d**6\/180 - d**5\/120 + 2*d**3 - 9*d**2. Let y(z) be the first derivative of v(z). Give y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360883165.\nAnswer: 5, 73, 97, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let p(y) = -14*y - 3. Suppose 3*u - 4*v = 1, 4*u - 12*v - 16 = -14*v. Let z(g) = 33*g + 7. Let c(k) = u*z(k) + 7*p(k). Give -12*c(j) + 4*n(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 31\/16, 2, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-8)*-1 + 45\/(-60). Let c be f\/((3\/(-5))\/(-1)). Suppose 0 = 5*y - n - 19, c*n = 4*y - 10 - 1. Solve -2*w + 0*t - 26 = -y*t, -w + t = 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 2. Let k = -2309798.42 + 2309804.41999937. Let h = w - k. Round h to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 279*r - 256. Determine m(94).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 22856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + -6*-5*(-1 + 1*2*sqrt(500))) + 4)**2.\nAnswer: -1180800*sqrt(5) + 64826896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 15*j - 8. Let x be c(13). Suppose -z = 2*s + s - x, -8 = -s - z. Suppose 2 = 6*h - s*h. What is the highest common divisor of h and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 103. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2 + 4*(-4)\/(-4). Suppose 0 = 3*z - f - 6, 0 = 2*z - l*f + 3*f + 1. Let p(v) = 116*v**2 + 2*v - 3. Is 15 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -7, 1, -4, -2 in increasing order.\nAnswer: -7, -4, -2, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 4 (c) -0.0388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + 8.1. Let c = -503 + 527.7. Let a = c - m. Round a to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1731 = -1707. Let y be (-2)\/(-56) + (-2)\/(-8). Is y less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 8. Let g(a) = a**3 - 7*a**2 - 8*a + 5. Let q be g(k). Suppose -1 - 22 = -q*w + j, 4*j = 8. Let y(s) = -s. Give y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/6)\/((-2)\/(-4)). Let i = 75128.94 - 74516. Let q = -613 + i. Which is the fourth smallest value? (a) q (b) 1\/4 (c) n (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 8 = -11*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - 142. Let p(w) = -w**3 - 13*w**2 - 12*w - 2. Let h be p(-12). Which is the nearest to g? (a) 2\/3 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-120) + 1 - 23306\/5160\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2388581 and 221650.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-474)\/(-29625))\/(2\/(-10))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (600\/2280)\/((-260)\/(-46436))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 296137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-740*d - 952*d + 2294*d)*(23*d - 7*d - 2*d) in the form v*d**2 + j + a*d and give v.\nAnswer: 8428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = 1, -l - 8 = -3*h. Let g(v) = 2*v**2 - 2*v - 4. Let q be g(3). Suppose -5*p + q = -h*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = 4. Let z = 0 - t. Solve z*s + 3*g = -4, 4*s + 2*g + 4 = -2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*h**3 - 3 + 73*h**3 - 4 wrt h.\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51691*y**3 - 24770*y**2?\nAnswer: -310146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:03 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -z = -7 + f. Suppose z*c - 12 = -0*s - 5*s, -5*s - 51 = -4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = 0, 2*i + 723 - 795 = z. Solve i*v + 41*v + 608 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -2495389.841\nAnswer: -2495389.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from {t: 2, s: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 683*h**2 - 3*h + 682*h**2 - 6 - 2*h + 2*h. What is z(4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1226 - -7379\/6. Let a = -53\/256 - -557\/256. Calculate the common denominator of a and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508536 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*d + 343, 0*p - 2*d + 118 = p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -264405, -264409, -264413, -264417?\n\"Answer: -4*o - 264401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - h + 8 = -2, -3*k - 8 = -2*h. Let s(n) = -n**2 + 9*n + 9. Let t be s(9). Let g(d) = -3*d + 28. Let w be g(t). Are k and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 5*j - 2. Let r(n) = -6*n + 3. Let g(v) = 6*o(v) + 5*r(v). Let x(c) be the first derivative of g(c). Let p(s) = 2*s. What is p(x(b))?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2*95\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -2, 6, 111\/10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -169374 > -0.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 949\/12 + -18257\/231. Let r = -839\/308 - x. Find the common denominator of (-99)\/(-16)*8\/(-12) and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55680 divided by -464?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + p = 48. Is 4\/p*-6 - 135\/(-1) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61393, 61063, 60507, 59731, 58741, 57543, 56143?\n\"Answer: l**3 - 119*l**2 + 20*l + 61491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -2*l - 41, 3*u = 4*l + 33. What is the least common multiple of u and (-2)\/((-260)\/84 - -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/35 and -63\/380?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r**3 - 23\/30*r**6 + 13 - 2\/3*r**4 + 0*r + 4\/3*r**5 + 2\/15*r**7 + 4*r**2. Factor l(x).\nAnswer: 4*x*(x - 2)*(x - 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 10. Let x = -30 - -26. Let p(a) = a**2 + 2*a - 8. Let s be p(x). Give j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34 - -2)*6\/(-8). Suppose -s = -4*s + 75. Let f = s - k. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 6. Let t be g(4). Let j(o) = 4*o + 2*o - t*o - 1 - 2*o**2 - 3*o. Calculate j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:57 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**3 - h**2 + 12*h**6 - 8*h**3 - 5*h**3 wrt h?\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31948 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -1751.4.\nAnswer: -2276.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l = -4, m - 324 = -2*l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**39)**(1\/7)\/(y**(-5\/13)\/(((y*y*y\/(y\/(y\/(y*y*y**29)))*y*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-2006\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 7*r. Solve 3*k = -n - r + 1, 2*n - 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, -27 in decreasing order.\nAnswer: 1, -1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.006, -4\/29543 in decreasing order.\nAnswer: -4\/29543, -0.006, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*t**2 + 154*t**2 + 2*t - 56 + 191*t**2 - 7*t**3 to d*t**3 + m + q*t + g*t**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:38 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 604 - 604. Solve z = -11*r + 144 - 166 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539903?\nAnswer: 3, 37, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.144 - -2.1. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1986759, -1986760, -1986761, -1986762, -1986763, -1986764?\nAnswer: -1986765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 5 - 1 + 2*p - 3*p**2 + (-4*p**2 - 68 + 68)*(-2 + 12 - 2)*(-2 + 7 - 1).\nAnswer: -131*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357568 and 47360?\nAnswer: 7151360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let q = -8.91 + -402.09. Let a = q + 413. Put a, 0.5, -6\/11, c in descending order.\nAnswer: a, c, 0.5, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58444 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -3*z**5\/20 - z**4\/6 + z**3\/6 + z**2 - 39*z. Suppose -35 = 5*i - 5*l, -1 = -3*i - 3*l + 2. Is x(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1054*y - 31600. Let c be j(30). Let q = -2 + -3. Let r be (-2)\/(q - 1)*15. Calculate the greatest common factor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = -v + 6631. Suppose h - 4*f - v = 0, -7*h + 3*h + 2*f + 1466 = 0. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19962 + -19967. Let x be (-2 - 6\/(-4)) + 2. Which is the nearest to 1\/4? (a) o (b) x (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 70*n + 627. Let o be k(24). Let s(c) = c**2 - 3*c - 4. What is s(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 divided by 4?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6858 and 1930446.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*d - 29 = -5, -3*f - 36 = -3*d. Let h = -8 - f. Differentiate -4 + 10*y + h + 0 - 2 wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 101925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2342166 divided by -28563\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**8\/112 - m**7\/40 - m**6\/80 + m**5\/80 + 8*m**2. Solve s(b) = 0 for b.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g - 6. What are the prime factors of f(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70569223913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -3, 2, -6\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547, -3246, -7741, -14032, -22119?\nAnswer: -32002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-65)\/15 - (-6 + 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 6266784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.48 + 0.480521. What is n rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/33 (b) -0.05 (c) 5 (d) 1\/5 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:22 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o**2 - 3*o - 8. Let p be y(5). What is the third derivative of 14*i**2 + 433*i**5 - 435*i**5 + 0*i**p wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -939.97089 - -939.41. Let c = y + 0.558. Round c to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y**2. Let w(g) = 3*g**2. Let r(s) = 15*w(s) + 3*z(s). Let a(c) be the third derivative of c**5\/15 + 4*c**2 + 87. Give a(r(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/(d\/(d\/(d**3\/d))))\/(d\/(d*d**(2\/3)*d)*((d\/(d\/d**(-1)*d)*d)\/d)\/d))**(-33) assuming d is positive.\nAnswer: d**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47.5*-202183.4\nAnswer: -9603711.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 20, -1\/7, -433, -1\/6, -26?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 * 9.4\nAnswer: -338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(52) - sqrt(52))**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/(6 + (-224)\/35). Let n be 9\/6*j\/72. Which is the biggest value? (a) 0 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-15) - (-32)\/6. Suppose s = -4*o + 17. Suppose -15 = -3*b, f - 25 = -f - 5*b. Solve f = 3*w - 2*n - 14, -o*w - 2*w - n + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkp when three letters picked without replacement from ppppppppppkpppkpppp.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-331*n + 78*n - 164*n - 16*n)*(0 - 2*n + 0) to t + p*n**2 + i*n and give p.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:29 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291805 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 20 + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.48 and -0.2?\nAnswer: -4.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -9*f + 11*f. Let p be 1884\/135 - f\/72. Find m, given that -2\/5*m**2 - 24\/5*m - p = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39391 - 27620 + 21032 + 13*y**2 - 49*y**2.\nAnswer: -36*y**2 - 45979","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 4*o**3 + 6*o**3)*(13*o + 7*o + 0*o)*(3 + 1 + 3).\nAnswer: 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by 35\nAnswer: -134\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 12*t - 28. Let k be z(5). Suppose k*w = 11*w - 1544. List the prime factors of w.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 138*i - 2 - 2 - 398*i.\nAnswer: -536*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/((165\/(-400))\/11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 679 - 386. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 3*h + 4*r, 0 = -2*h + 2*r + 12. Suppose 7*n - h*n + 24 = 0. Suppose -556 = n*z - 10*z. List the prime factors of z.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228b0a8 (base 12) in base 9?\nAnswer: 13462422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2451451 and 2.\nAnswer: -2451449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200001 - -2222202211022?\nAnswer: 2222202011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2988056 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 40*m**2 + 2*m + 146. Calculate l(-40).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k - 6. Let d be 152\/(-26) + 2\/(-13). Let i(n) = -5*n - 4. Let b(l) = 19*l + 17. Let z(y) = 2*b(y) + 9*i(y). Calculate d*j(a) + 17*z(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 15*h + 66, 107*y - h = 109*y + 11 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -a - 2, 0 = 4*b - 3*a - 7 + 1. Solve b = 3*k + 3*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -54, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -30, -56, -82, -108, -134?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 30*b - 206. Let c be u(7). Suppose -946 = -a - o, c*a = -0*o + 5*o + 3820. What are the prime factors of a?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -5 - 1\/1. Suppose -32*h + 9 = -29*h. Put 5, h, 1, k in ascending order.\nAnswer: k, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*o - 3*n - 8 = 197*o, 40 = 5*o - 5*n. Let c(y) = y**2 + y - 1. Let b = 2 + -1. Let d(u) = u**2 - 4*u + 4. Determine b*d(l) + o*c(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214.6 - -31.6. Let z = 182.5 + r. Which is the nearest to 2\/7? (a) 0.7 (b) z (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5159?\nAnswer: -2\/5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2122120000110 (base 3) to base 6\nAnswer: 50104320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1125)\/150*(-36)\/(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2242 + 2551120?\nAnswer: 2553402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 117311489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 11*l + 1449 = 26*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/33)\/(t*t\/t**(-2\/61))*t**(-11)\/t*(t*(t*t*t**(-2\/23))\/t)\/t assuming t is positive.\nAnswer: t**(-610237\/46299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g - 2 + 2 - 1 - 42*g.\nAnswer: -113*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -67, -65, -63, -61, -59?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and -0.108879.\nAnswer: -2.308879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -450221533, -900443066, -1350664599, -1800886132?\n\"Answer: -450221533*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078675 rounded to 3 dps?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x. Let w(r) = 10*r - 1. Let d(y) = 5*f(y) + 6*w(y). Let l be d(7). Let b = l - 21. Solve c = -c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 2}. What is prob of sequence ni?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + 2351?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4 + 2 + 1 + (0 + 0 + 1)*(1 + 0 + 0) + 0 + 1 + 1)*(7*a - 2*a - 14*a) + a + 2 - 2.\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 745 - -5900. What are the prime factors of n?\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-3 - (3 + -3)). Let b = -6 + 8. Solve d*k + b*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(99\/(-48)*-8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.94316615 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 times -0.044\nAnswer: 0.02156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21196, 21188, 21178, 21166, 21152, 21136?\nAnswer: 21118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77))\/sqrt(7) + -1 + -1.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984749161?\nAnswer: 3, 31, 32094077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 1. Let j be m(-1). Suppose -3 - 3 = -j*x. What is the third derivative of b**6 + 3 - x*b**2 - 3 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211102010 (base 3) in base 15?\nAnswer: -4c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 8*u - 2. Let c be b(2). Let m(l) = 4*l**2 + 989 - l**c - 2*l - 988. What is m(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 8, o: 2, p: 2}. Give prob of picking 3 q and 1 e.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 3*n**3 + n**3 + (3*n - 3*n + 2*n)*(-n**2 - n**2 + 4*n**2) - n**3 + 4*n**2 - 4*n**2 + 54385*n**2 + 3*n - 5*n**3 - 54385*n**2.\nAnswer: -n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395*-8.\nAnswer: 3160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*x + 3311677 = 3348557 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:55 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13866 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*z + 269*z + 86*z)*(-z + 5 - 5) - 5 - 6*z**2 + 5.\nAnswer: -273*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ullu. What is prob of sequence uull?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -13) + (-178 - (74 - 130))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(17\/20366) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 4. Let j = 69 + -68. Let a(n) = -6*n**2 + 1. Let y be a(j). Give s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7224, -7219, -7214, -7209, -7204, -7199?\nAnswer: -7194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1)*-2)\/((-4)\/(-652)). Let b = 348 - m. Let u = 57 - 19. Calculate the least common multiple of u and b.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6805031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18190308 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(18\/8). Let l = -19 - 3. Let q = 22.1 + l. What is the nearest to q in 1\/2, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 16*z + 11. Let u be l(-15). Let k be 3\/u - 459\/(-36). What is the tens digit of (8\/k)\/(2\/93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/773 + -13068\/379543. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q*q*q**11\/q)\/(q**2)**(1\/4) assuming q is positive.\nAnswer: q**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -141, -192, -187, -126, -9, 164?\n\"Answer: 28*d**2 - 191*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3130 and -21\/5202686?\nAnswer: 26013430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636825 is divided by 105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 5*o**2 - 7*o**2 + 3*o**2 - 3*o**2 + 2*o**2 + (-4*o + 5*o + 2*o)*(-o - 3*o + 2*o) in the form g*o**2 + w + c*o and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r. Let n(i) = -i. Let y(c) = -65*n(c) - 6*v(c). Let x be (-3330)\/(-306) + -2 + 108\/51. Let z(s) = 23*s - 6*s - 5*s - x*s. Give y(z(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*f**3 + 1259*f**3 - 31 + 44 - 647*f**3 - 53 - 51.\nAnswer: 2*f**3 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21701.\nAnswer: 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*r - 24*a**2 - r + 11 wrt a.\nAnswer: 4*a*r - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - -3) - (0 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 15. Suppose 5*q + 4*w = 61, 3*w = q - 2*w - k. Calculate the greatest common factor of q and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2559*s**5 - 22*s**2 - 75*s?\nAnswer: -153540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*h - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, y: 5, u: 3, r: 4}. What is prob of sequence yu?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1126 and 83\/20?\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/60*(-24)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (2*-2*sqrt(108) - sqrt(108)) - 1*sqrt(108)*4)\/((sqrt(108)\/sqrt(3)*-2)\/(sqrt(27)\/sqrt(3)*4)).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t**3\/3 + 115*t**2\/3 - 332*t\/3 + 260\/3 = 0 for t.\nAnswer: 10\/7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237644463 divided by 21?\nAnswer: 11316403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15398, 15374, 15350, 15326, 15302?\nAnswer: 15278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o + 3. Let h(u) = 4*u. Let t be h(-1). Let p be g(t). What is the third derivative of -n**2 + 2*n**2 + 3*n**2 - p*n**4 - 10*n**4 wrt n?\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) 2\/17 (c) 849 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3*l**3 + 2*l**3)*(1 - 3 + 1) + 3*l - 2*l**3 - 3*l - l**3 - 17*l + 17*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 6*b**3 + 33*b**3 - 10*b**3 - 15*b**3 - 6*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (1 + sqrt(2057) + sqrt(2057))*-2.\nAnswer: -44*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 108. Suppose n + 0 = -4*k. Let d be -3 + (-5 - -4) + (-78)\/k. Which is the second biggest value? (a) -2\/5 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)\/x**11)\/(x**(6\/11))**(2\/77) assuming x is positive.\nAnswer: x**(-9791\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2278.65962 from 4.149.\nAnswer: -2274.51062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + -95. Suppose -21 = -p + 4*y, -p - 5*y + 7 = 22. Solve p*d + h = 3*f, 3 = d + 2*f + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + -320. Let s = 747\/2 + j. What is the common denominator of s and 79\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 90\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1889, 4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/25)\/(1\/20). Suppose 0*c - c + 5*g = -h, 4*c = -3*g + 4. Solve 2*m + 8 = -2*j - j, m + c = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*t - 3 = -d + 2665*t, 0 = -2*d + 2*t - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 209 = 20*t - 182. Solve -t*k + 16*k = 2*l - 2, l - k = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108496 - -42351.\nAnswer: -66145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/(-65))\/((-870)\/(-20)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 51*l + 87. What is the remainder when 423 is divided by g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/16 - (-3)\/(-1*(-5 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 159.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 8*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -842427*k*z**4 - k*z**2 - 1536003*k wrt z.\nAnswer: -3369708*k*z**3 - 2*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 113*x**9\/504 + x**8\/168 - x**5\/12 - x**3\/6 + 52*x**2 - x. What is the third derivative of k(a) wrt a?\nAnswer: 13560*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11324\/(-2280) + 4 + -1 + 2. Let p(d) be the third derivative of 0*d**3 - a*d**5 + 0*d**4 + 0 + 1\/120*d**6 + 0*d - 3*d**2. What is l in p(l) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 164. Let s = c + 17. What are the prime factors of s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 23219?\nAnswer: -5\/23219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3 - 3*k**2 + 3. Let y(u) = u**2 + u - 1. Let c(d) = f(d) + 3*y(d). What is the second derivative of c(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 24956.\nAnswer: 174692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**3\/3 + 5*s - 2. Let y(g) be the first derivative of d(g). Let p(v) = 2*v**2. Determine p(y(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43295967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + (sqrt(99) - (1 + sqrt(99))) - ((sqrt(99) + 1 + sqrt(99))*4 - sqrt(99))) + 1)**2.\nAnswer: 1260*sqrt(11) + 19629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22020 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 1, -35\/2, -3\/2 in ascending order.\nAnswer: -35\/2, -3\/2, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 - a**3 - 222*a - 83 + 206)*(-2*a - 4*a + 4*a).\nAnswer: 2*a**4 + 444*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((22 - 35) + -13 - -21 - -69).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 4*l + 2. Suppose -5*y + 18 = 2*b, 4*y = -0*b - 2*b + 16. Let r be z(y). What are the prime factors of r\/17 - (-17212)\/221?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**7\/14 + u**6\/10 + 3*u**5\/20 - u**4\/4 - 108*u. Factor g(p).\nAnswer: -3*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5443 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, n: 2, s: 4}. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1113, 6406, 15221, 27558, 43417, 62798, 85701?\nAnswer: 112126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 8:04 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 - 11*z + 4. Let a(m) = m. Let p(i) = -6*a(i) - t(i). Let y be (-13)\/3 + (-4)\/6. What is the tens digit of p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -113\/24*r**4 + 80*r**2 + 0*r - 47\/60*r**5 + 0 + 0*r**3. What is the second derivative of g(n) wrt n?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/21 + -38\/21. Let m = -1.91 + 2.11. What is the closest to 0.1 in -0.3, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 2*o - 1. Let x be y(-1). Let z be 10\/x*6\/4. Suppose 2*t = 5*a + 89, a + 170 = z*t - a. Calculate the highest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Let b(p) = -5*p + 1. Let u be b(-1). Let j be 3\/2 - 3\/u. Solve 2*g = -s - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2 (c) 11710 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h**3 + 2*h**2 - 1. Calculate s(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527966 - 527964. Let 38\/17*d - 4\/17*d**c - 48\/17 = 0. What is d?\nAnswer: 3\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558508, -1117006, -1675504?\nAnswer: -2234002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b. Let g(u) = -u**2 + 4*u + 3. Suppose 8 = 3*j - 7. Let d be g(j). Let c(m) = -m. Let w(r) = d*n(r) + 14*c(r). Let s(l) = -l. Determine w(s(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/(-3))\/((-5)\/(-6)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1144\/133 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 5. Let w be (-8)\/6 + (-135)\/81. Let q be v(w). Let z(h) = -h**3 + 3*h**2 + 3*h - 1. Determine z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(-6)*-1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 824554 (base 10) in base 9?\nAnswer: 1486061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/23)\/b)\/b)\/(((b**(-1\/60)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(2903\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from telwlwzdllwllllzlzd. What is prob of picking 1 w and 1 z?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 97 + 39*m - 46)*(-12*m - 13*m - 3*m).\nAnswer: -1092*m**2 - 56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgggxrxkr. Give prob of sequence xrkr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.2, -27501?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let j(z) = 5*z**2 + 9*z + 9. Let n(d) = -36*g(d) - 4*j(d). Let f(t) = -5*t**2 + 0*t**2 + 6*t**2. Determine n(f(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100695.9 and -49.\nAnswer: 100646.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15. Suppose a = -5*f + f. Suppose f = 4*z - 3*j - 80, -2*j = -5*z + 44 + 49. Calculate the greatest common factor of z and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, -4, -304.\nAnswer: -304, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 73*a**2 + 1099*a + 80. Determine j(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 + -190.149. Let f = x - 0.151. Which is the nearest to -2\/3? (a) 34 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 16. Suppose m - 2 = v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200 + -106. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2643 is divided by 296.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6969.104953 + -0.4\nAnswer: 6968.704953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19055 and 35705?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7160 + -22061?\nAnswer: -31241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*z + 3472 - 3120 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 111*u**2. Let p(k) = -23*k - 1. Calculate p(x(b)).\nAnswer: -2553*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = 8. Let 3*p**5 - 2*p**4 - 4*p**3 + 4*p**y + 5*p**5 + 2*p - 6*p**5 - 2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -644 - -850. Let g = 210 - q. Which is the nearest to g? (a) 2 (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.2. What is the nearest to 2 in 0.2, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 27*r**2 + 24*r - 35. Let o be m(-26). Let z(w) = -58 + 25 - 11*w + 22. Let k(j) = -4*j - 4. Determine o*k(d) - 6*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.22669 centuries in millennia?\nAnswer: 0.522669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nbnnbnbbbb.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 h when three letters picked without replacement from {h: 4, w: 3, z: 1, v: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0246 + -2.\nAnswer: -2.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (5 + (2 - 10 - -7))) + -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 45. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -11*o + 4*o - 3*l + 919 - 884, -2*o - 5*l = -65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g**2 - g - 1. Let k be x(-3). Let b(v) = 30*v**2 - 11*v - 13. Let i be b(-1). What is the highest common divisor of i and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137462599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*u**2 - 112*u**2 + 295*u**2 + u - 127*u**2 to the form s*u**2 + p + t*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4559458 divided by 2\nAnswer: 2279729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(6\/42)\/(4\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d**1)\/(d**(-6)\/d**(-1)) assuming d is positive.\nAnswer: d**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + (-53 - (-43 + 16 - -9)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, s: 1, w: 7}. What is prob of sequence ee?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001998503 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 - 46\/14). Let t = -4 - -3. Is t at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098464 is divided by 119.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 3*a**3 - a**3 + (4 - 4 - 2*a)*(-27*a**2 + 16*a**2 + 12*a**2) in the form o*a**3 + w*a + m*a**2 + z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.05 (b) -102 (c) -1276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/t**(25\/2)))\/t*t)\/(t**4*t))\/(t**(-16)*t\/(t*t\/(t\/(t\/t**(-29)*t))*t)) assuming t is positive.\nAnswer: t**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Suppose 1 = 2*c + 3. Let r be 4 - c\/3*-3. Solve -r*d - j = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*b = -2*b + 6500 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 37*y + 130661 = 3365. Is 52 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 6. Let k = 3 + 1. Let b be g(k). Let y(u) = u**b + 4 - 6*u + 4*u**2 - 4*u**2. Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/19)*m)\/(m**(2\/11)\/m)*m**(-1)*m*m\/((m**(-2\/21)*m)\/m) assuming m is positive.\nAnswer: m**(12325\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -21. Suppose 85 = 3*f - 2*i, 0*i = 4*f - 2*i - h. Suppose 4 = 30*b - f*b. Solve 4 = b*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2183329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169 + 624. What is the common denominator of 24\/5 and 35\/d + (-1730)\/(-156)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2768202 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1127 - 66*u - 1502 - 1126 + 3755.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 + 5096*v**3\/5 + 3271532*v**2\/5 + 6466824*v + 16103610.\nAnswer: 2*(v + 5)**2*(v + 1269)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 185. Let s = -93 + i. Let k = -0.29 + 0.09. Is k not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/3)\/n*n*n)\/n)**(4\/3)\/((n\/(n*n*n\/((n*n*n**(-2))\/n))*n)\/n**2))**(-5\/6) assuming n is positive.\nAnswer: n**(-80\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q + 10*q. Suppose 3*k - 4 = 4*a - 3, 5*a + q*k - 22 = 0. Suppose -15 = -7*w + a*w. Solve 0*b - b = -w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*-7*2\/4. Suppose -2*g + h = n, g = 2*n - 4*g - 19. Suppose 0 = 38*x - 87 - 445. Calculate the smallest common multiple of n and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42059 - -28.1.\nAnswer: -42030.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386870 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2502.451l to millilitres.\nAnswer: 2502451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - (-1 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 - 33 = -60*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o + 1774. Suppose -670 + 2 = -4*a. What is the remainder when a is divided by w(-87)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p + 1. Let a be o(0). Is 1\/36 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 517*s - 432*s + 2720 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008063713?\nAnswer: 271, 14789903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6502 - 3879. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from taatataaootaoo.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24590860?\nAnswer: -24590860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 236 = -2*f + 790, -2*s = -f + 274. What is the greatest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.0362, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208)*-3)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 638.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 9*v**2 - 365*v**3 - 740*v**3.\nAnswer: -1105*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2569 = -5*j + 3726, -j - 6307 = -5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + 19*c**2 + 15*c + 1. Let u be w(-16). Suppose -d - u = -3905. What is d rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26507, 54979, 83451, 111923?\nAnswer: 140395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - c - 116 = -2*c, 3*g + 5*c - 70 = 0. Calculate the greatest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -y - 3*y - 3*j, 2*y = -4*j + 30. Suppose -8 = -4*b - 5*f, b + y = -2*b + 3*f. Suppose -1 = -2*k + 2*n - 3, 0 = -3*k + 5*n + 1. Is k at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17200 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 1507?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:18 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (72\/10 - 7) + 134\/5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*p = -19, 6 = -2*h + 2*p + 20. Let u(m) = 2*m - 1. What is u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22759047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let u(x) = 52*x. Give d(u(v)).\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -30. Let s be 4\/30*(11 - q - 5). Factor 0*n**2 + 0 + s*n**3 - 4\/5*n**4 + 0*n.\nAnswer: -4*n**3*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.4484179 to 2 decimal places.\nAnswer: -26.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -146*a. Let n(k) = -k. Give -4*n(d) - 2*s(d).\nAnswer: 296*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594*g - 656*g = -186. Solve -g*r + 2 = -5*r, 4*j - 19 = 3*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/453966 and 23\/406.\nAnswer: 3177762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2. Suppose -4*a + 4*g + 234 - 74 = 0, 4*a = -3*g + 160. Let b(p) = a*p + 2*p**2 - 40*p. Calculate b(z(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2102962*c**3 + 2128535*c wrt c?\nAnswer: 12617772*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301389, -602780, -904171, -1205562?\nAnswer: -1506953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41239 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154829 take away 33?\nAnswer: 1154796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 272331466 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 348886124 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + 0 + (4*(sqrt(245) + 1) - sqrt(245))*-3)**2.\nAnswer: 2268*sqrt(5) + 20169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11169 and 631669.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 2. Let k(n) be the second derivative of n**5\/20 - n**4\/2 + n**3\/6 - 3*n**2 - 32*n. Let m be k(6). Calculate c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/345 + ((-1)\/165)\/(-1)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (0 - 2))*(-8)\/(-4). Find the second derivative of 5*i**h + 18*i**4 + 15*i + 7*i - 8*i wrt i.\nAnswer: 276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-29)\/2 + 15). Suppose -14\/3*q**4 - 86\/3*q**2 + 16*q + 20*q**r - 8\/3 = 0. What is q?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 2*z + 3*v, 5*v = -15. Suppose 2*f + 3*y = 1, 165 - 155 = 5*f + 5*y. Sort f, z, 3 in ascending order.\nAnswer: z, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 1. Let i(c) = c. Let d(p) = 3*p - 125. Let v be d(42). What is v*i(b) + 2*k(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 4. Suppose 81*v = 88*v + 14. Let x(i) = -i**2 - 4. Calculate v*x(y) + 3*j(y).\nAnswer: 3*y**3 + 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 396?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 1 + -7 + (1 - 8) + 24\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 27. Let c be f(16). Suppose 2*y - c*b + 410 = -3*y, -5*y - 2*b = 396. Let t = y - -147. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*188\/141*(-1)\/(-6)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548.6 - 601. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d**3*j**4 - d**3 - 377*d**2*j**4 - 34551 with respect to j.\nAnswer: -72*d**3*j**3 - 1508*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*b - 3*n, 2*b + 11*n = 6*n - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k - 0. Suppose -9*j - 28 + 100 = 0. Solve 4*f = -j, c - k*f - 1 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**3 + 42*o**2 - 14*o + 9. Let u(b) = 2*b**3 - 14*b**2 + 5*b - 3. Calculate -6*q(w) - 17*u(w).\nAnswer: 2*w**3 - 14*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 - 20*g. Let r(w) = -5*w. Calculate 2*q(y) - 9*r(y).\nAnswer: 2*y**3 - 2*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97994 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 533*r**2 + 3211*r + 89. Determine i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6192*w**2 + 0*w**3 - 6134*w**2 + 12326*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 12*t**2 - 21*t - 50. Let p be h(-13). Suppose 0 = -136*m + 150*m - p. Calculate the remainder when 114 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-78)\/(-12) + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29692810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.001 smaller than 375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -4*r + 0*r**2 - 3\/14*r**7 + 0*r**3 + 0*r**5 + 0*r**6 - 13\/12*r**4 + 0. What is the third derivative of n(z) wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 40520?\nAnswer: -44572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + v - 20*v**2 - 3 + 0 - 11*v**2 in the form z + c*v**2 + d*v and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1479 + 3012 = 88*i + 881 - 2956 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 + 6 = 3*v, -5*s = v - 14. Let n(g) = 4*g - 3 - 3*g + 3 - g**s. Suppose -4*a + 3 = -1. Calculate n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112159 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 24\/(-16))\/((-4)\/64)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5487?\nAnswer: -5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*s - 206*s + 601*s + 4 - 4.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 12400. Round v to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/31)*(w*w\/(w**(-4)\/w))\/w**(2\/5)*((w*w*w*w*w\/w**(-1))\/(w*w\/(w\/(w\/w**(1\/4)))*w))**(-3\/2) assuming w is positive.\nAnswer: w**(2059\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**3 + 24*p**3 + p**2 - 8*p**3 - p**2 + 13*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1693\/4245 + 1\/849. Let j = -2.9 + 3. Which is the fourth biggest value? (a) -0.1 (b) j (c) t (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 - l + 7)*(-5 + 3 - 1) + l - 5*l + 3*l + 2)*((4*l - 2*l - 3*l)*(4*l + 3*l - 6*l) - 1 - l**2 + 1) to s + h*l + m*l**3 + c*l**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.065\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*j + 2830, 37*s - 39*s - j + 1132 = 0. What are the prime factors of s?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2423\/4365 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -119*2\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1936 + 734 - 264 + 6060 - 748)*(-3*p - p - 5*p)*(3*p - 2*p + 0*p).\nAnswer: -69462*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**4 + y**3 - 2*y**2 - y + 2. Let n(j) = 15*j**4 + 71*j**3 - 10*j**2 - 5*j + 57. Let t(f) = -5*a(f) + n(f). Differentiate t(i) with respect to i.\nAnswer: 20*i**3 + 198*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + m + 3 - 9*m + m**4 to q*m + d*m**2 + p + o*m**4 + l*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 4, q: 2, a: 3, t: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7446 + -1.2446. What is the smallest value in 6, -121, j?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14 = 3*q, -a = 4*q - 2*q - 8. Suppose 39*x = 43*x. Let h = 6 + -4. Solve -s - 4*f = x, -s - h = -q*f + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124093440 to the nearest 100000.\nAnswer: -124100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 + 6 - 4*s**3 + 2*s**2 + 3*s**3 - 2 - 5*s**4 in the form n*s**4 + b*s + q*s**2 + l + o*s**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 + 158. Suppose -5*w + 4*u = -10, 0 = 5*w - 4*w - 3*u - 2. Does 14 divide (f + 5)\/(w\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 4 - 4*j**2 + j**2 to the form l + q*j + z*j**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 32, -0.2, -17, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3\/4*u**5 - 45\/4*u**3 - 3\/4*u**4 - 15\/2*u - 69\/4*u**2 + 0 = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -303232337538870?\nAnswer: -303232337538869.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.007, 0.5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5849.\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from hxxnnnxkhhhhyxxkkkk?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 8*o - 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 4*a - 28. Let x be c(9). Suppose 4*j - 4*h - x - 15 = 0, -4*h = 20. Let t(v) = 13*v - 8. Let i(g) = -4*g + 3. Determine j*t(s) + 8*i(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 2. Let u = 15 + -10. Let l(k) = -3 + k - u*k + 2*k. What is 4*b(p) - 3*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/4))**(2\/3))**18 assuming c is positive.\nAnswer: c**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:08 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -300788830.9.\nAnswer: 300788833.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -196236 or -196221?\nAnswer: -196221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4\/10 + 4*w**3\/15 + w**2\/5 + 199. What is s in c(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -437690.6421 to the nearest 10.\nAnswer: -437690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12 - 12*w - 14*w + w**2 + 3*w. Let q be (0 - -1)\/((-30)\/(-540)). Let i be b(q). Round i to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39\/14 + -5\/42. What is the third smallest value in 3, -5, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265562 and 3041892.\nAnswer: 33460812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-4)*(-3216)\/46632?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**7\/21 - s**5\/30 + 65*s**3\/6 - 11*s**2 + 1. Find the first derivative of r(c) wrt c.\nAnswer: -40*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 341424.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22781425 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739616*1.4.\nAnswer: 1035462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 4*o**2 + 2*o + 2. Let s(d) = -2*d**3 - d + 1. Let r(g) = i(g) + 2*s(g). Let p be (19 - (-12)\/(-4)) + 1. Let f = 13 - p. Give r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*u**2 + 6*u**4 - 972*u**2 + 1076*u**2 + u - 1 + 151*u**3 to m*u**2 + d*u + n*u**4 + k + w*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 856472865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 20*u + 230*u = 2376. Let i(s) = -4*s + 40. Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-32501\nAnswer: -32501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:50 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6564 = -37725. Suppose -q = -18*b - b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3805*h**2 - 29*h + 269. Is c(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*o - 17, o + 132 - 145 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 0.03 (b) 0.1 (c) 0.11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2358 and 4454?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656730 rounded to the nearest ten thousand?\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let h(t) = -25*t**2 + 33*t. Let n(z) = -d(z) - h(z). Find the second derivative of n(x) wrt x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79703.32486 to the nearest one hundred.\nAnswer: -79700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -1, 0.04, 2\/15, 1\/2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-252)\/12*(-7)\/3 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446452.007 rounded to the nearest ten?\nAnswer: 446450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -95, -219, -383, -581, -807?\n\"Answer: b**3 - 29*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 13*f**2 - 12*f + 1. Let h be (-7 + 0 + 1)*(-30)\/15. Let b be y(h). Solve 9 = -2*z - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 8:35 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186164 divided by 16924?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1038 = -3288. Let q be (-11 - 1)\/(j\/60). Let b = q - 9\/100. What is the common denominator of 41\/4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(3) + (sqrt(3) - (4*4*sqrt(3) - sqrt(3)))) - ((sqrt(275) - -4*sqrt(275) - sqrt(275))*-4)**2.\nAnswer: -70400 - sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 63\/798*(-8)\/(-6)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*c - 4*c - 2*c + (-4 + 3 + 2)*(-7*c + 6 - 6) + (3*c + 0*c - 4*c)*(-2 + 5 - 4) - 5 + 3*c + 5)*(2*c + 4*c - c) as m*c**2 + f*c + s and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 121*i + 2.\nAnswer: 121*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**4 - 11300343*b**3 + 8475264*b**2.\nAnswer: -3*b**2*(b + 941696)*(4*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*2060\/70 + -13. Which is greater: n or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1327921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549.09 + -496.084. Let j = -53 + s. Let q = j + -0.035. Round q to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(19\/((-35378)\/(-57))*4*35\/80).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 111847365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 21*g - 2*g**3 + 10 - 3 to the form d*g + r*g**3 + l*g**2 + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**4 - u**3 - 3*u + 23. Let r(y) = -12*y**4 - 7*y**3 - 17*y + 139. Let v(p) = -34*l(p) + 6*r(p). What is the derivative of v(h) wrt h?\nAnswer: -16*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1857.00002389 + 1857. Round w to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323013.2 seconds in days?\nAnswer: 50.034875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvsvvfsvvnnv. What is prob of picking 1 s, 1 v, and 1 n?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 173776?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110101 + 101001111101111?\nAnswer: 100111000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -8. Suppose 6*h - 83 = 121. What is the highest common divisor of l and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4 = -v, 0 = -2*g + 7*g - 168*v + 171*v + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1167468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 2\/21 (c) 69\/7 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/p**22)\/(p**(2\/31))**(-23))**(-20) assuming p is positive.\nAnswer: p**(9620\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 2*b)*(-3 + 5 - 1) + 7496 + 7502 + 4025*b + 7501 - 22499.\nAnswer: 4026*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 476\/34) + (-99)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1208 + 25*v - 1208 to the form u*v + j and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -65207.\nAnswer: -65207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 23 = -148. What is the first derivative of -o + 159*v - 68*v - 76 - 39 + 134*v wrt v?\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5868864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -43) + -20 + 29 + 0 + -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657628 by 76.\nAnswer: -8653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965962 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than 480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 + 200.89. Which is the third smallest value? (a) w (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114598 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q - 1. What is the least common multiple of d(1) and 11 + 1 - (-3 + 5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10397*f + 42. Let a(y) = 5196*y + 18. Calculate 7*a(b) - 3*r(b).\nAnswer: 5181*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(539)*1*6*1.\nAnswer: -5 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 12*d - 15. Let v be f(10). Suppose 4*g - 80 = 2*g. Calculate the highest common divisor of v and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18) + (-6365)\/470 + 13?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -845a?\nAnswer: 8459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s - 106. What is the lowest common multiple of 18 and x(-14)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/18 and 117\/3850.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 21 (c) 0.001 (d) 0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + (32 + -5 - 8 - 17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + 93 - 18) + -69.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-51592)\/16*((-189)\/105 - 1\/5).\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(13) - (sqrt(13) - (sqrt(13) - sqrt(78)\/sqrt(6)))*-6) + (sqrt(78)\/(-2*sqrt(6)) - (sqrt(325) - (4 + sqrt(325)))))**2.\nAnswer: 26*sqrt(13) + 2213\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70758.\nAnswer: 2, 3, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/14)\/(42\/(-28)))\/((-108)\/(-21))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x + 4*j + 22, -5*j - 10 = 5*x. Calculate the common denominator of (-2)\/3*(-604)\/16 and x - ((-204)\/(-22))\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16301 + -16296. Let f(t) = t**3 + 5*t**2 - 2*t - 5. Let a(p) = -2*p + 4*p**2 - 2*p**2 + p - 2. Determine w*a(y) - 2*f(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54094\/19 - 2847. What is the nearest to -1\/2 in -2\/7, -1\/3, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 - c - 3. Suppose -t = -6*t - 10, -t - 8 = -2*h. Determine o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7 + 3*h + 0*h - 9*h + 5*h + h**2. Suppose 2 = -c + 7. Let k be j(c). Solve 0 = 3*y - 2*s - k, -3*s = -2*s + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 241*y - 23. Let u(x) = 240*x - 27. What is 6*l(h) - 5*u(h)?\nAnswer: 246*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w**3*w)\/w*w*w*w*w**0*w*w*w*w**(1\/5)*w**(1\/7)\/w*w assuming w is positive.\nAnswer: w**(397\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6768*r**3 + 1825*r**3 + 1 - 1725*r**3 + 7340*r**3.\nAnswer: 14208*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omun when four letters picked without replacement from {m: 5, o: 5, n: 1, a: 4, u: 5}?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 5) + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.550033 + 0.58775. What is z rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-126) + 1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 + 3085*t**4 + 10*t**3 - 30850*t**2 - 9*t + 27765 = 0.\nAnswer: -3, -1, 1, 3, 3085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2 + 4*f**2 + 1 - f + 2*f**3 - 1. Suppose h + 3*h = 24. Calculate the smallest common multiple of d(-4) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 9354*y + 957816.\nAnswer: 3*(y - 3012)*(y - 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 542 and 8\/(-52) + (-2832)\/(-156)?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 14*n - 16 = 0, 2 = 2*k + 26*n - 22*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 11*n - 6. What is the units digit of c(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7 - -1)) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 2107*q**5\/60 + 63*q**4\/2 - 20*q**2 - 57*q. What is the second derivative of n(s) wrt s?\nAnswer: 4214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let k(h) = h**2 + 14*h + 6. Determine 6*i(o) - k(o).\nAnswer: -o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*x + 193*x = 52*x - 5467 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvdnvdtnnvdnn. What is prob of picking 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let k = 1 - n. Suppose 0 = -0*s + 2*s. Which is the smallest value? (a) s (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2535 + 13543?\nAnswer: 16300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7707672 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.2*1027.328.\nAnswer: -84446.3616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10757034 divided by 6.\nAnswer: 1792839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:31 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13848 + 13852. Which is the third smallest value? (a) -1\/9 (b) 231 (c) -3\/8 (d) w (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 417 + -215. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 - 7*a**2 + 7*a - 21. Let o(k) = 4*k**2 + 3. Let b(u) = u**3 + 9*u**2 + u + 4. Let q(j) = -2*b(j) + 5*o(j). Determine -2*f(i) - 7*q(i).\nAnswer: 2*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 81321151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11070.3 - 11070. Put m, 2\/27, 4, -1\/2, 13 in descending order.\nAnswer: 13, 4, m, 2\/27, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -64, 1\/4, 1\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*c**4 + 31*c**4 - 6 + 30 wrt c?\nAnswer: 156*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2133 = 2247*m - 2168*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Let j = -4.8 - -4. Let k = j + 0.9. What is the nearest to -0.1 in p, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2611)\/168 - (-3)\/8. Suppose 4*o - x = -31. Solve 4*d = 3*s - o - 2, -5*s - 5*d + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*k + 26 = 30, -3*k + 1 = m. Let y(q) = 40*q - 9. Determine y(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Let z be (3 - 0)*t\/3. Let i be z + -1 + 3 - 2. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, s: 7}. Give prob of sequence snss.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 10 = 6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1000500 and 61\/984?\nAnswer: 82041000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 19. Determine p(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - -2) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*n + 83 + 86 - 103, -2*m = -4*n - 76 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18190012 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -6*x + 98. Let j be (60\/x)\/(3\/9). Solve j - 2 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*g**2)*(-4*g**2 - 2*g**2 + 4*g**2 + (-g + 5*g - 2*g)*(2*g - g - 3*g)) in the form s*g**4 + m + d*g**3 + a*g + p*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2 (c) -1 (d) 15 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3392487141.\nAnswer: 3, 1130829047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:33 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1280*h**2 + 3842*h**2 - 1282*h**2 - 1282*h**2. Let r(d) = 73*d + 1. Calculate r(k(x)).\nAnswer: -146*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**7\/56 - t**6\/2 - 6*t**5 - 40*t**4 - 160*t**3 - 384*t**2 + 16*t - 2. Factor c(i).\nAnswer: -3*(i + 4)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.3313 minutes in seconds?\nAnswer: 30499.878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1470\/19 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 48 = -3*g. Let o(q) be the second derivative of 1\/120*q**5 + 1\/72*q**4 + 2*q + g + 0*q**3 + 0*q**2. Determine c so that o(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*r = -29 - 11, -4*r = d + 14. Let w be d\/4*8\/6. Suppose -w*h + 121 = -h. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (4 - (1 - -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 9*l**2 + 5. Let w be n(-9). Solve 4*j - b = 2*b, -w*b = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 203*m**4 - 44*m**3\/3 - 4*m**2 - 20*m. Let k be r(-21). Round k to the nearest 1000.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 22*b**3 - b**2 + 4*b - 4. Let w be p(2). Suppose k = 2*k + m + w, 5*k + 877 = -4*m. Let j = k + 1209\/7. What is the nearest to 1\/2 in 3, j, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135580377 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 n(s) be the first derivative of -5*s**4\/4 + 40*s**3\/3 - 45*s**2\/2 - 90*s - 838. What is t in n(t) = 0?\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6717, 6804, 6887, 6966, 7041, 7112, 7179?\n\"Answer: -2*o**2 + 93*o + 6626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8032704.\nAnswer: 2, 3, 17, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4601790 + 5420*m + 1521*m**2 - 4601810 - 353*m**2 + 1547*m**2 = 0.\nAnswer: -2, 2\/543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2604875 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 51*r + 212 = -56*r, 0 = 2*i - 4*r - 142. What is the remainder when i is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1088 and -127\/334560?\nAnswer: 669120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 5*f - 4. Suppose 2*a = -3*w - a + 21, 3*w + a - 15 = 0. Calculate o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389 minus 35?\nAnswer: 6354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6 - 31. Is -1*0\/(-3) - j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -8, -11 in descending order.\nAnswer: -8, -11, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 124 (b) 96 (c) -1\/266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqfqqqqqqqqqqqu. What is prob of sequence qu?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 42664*o - 227527112 = 0. What is o?\nAnswer: -10666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 + 6*c**2 + 14*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5262 = -39*x - 5385, 3*c + 35 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 21*l - 18. Let w be b(-20). Let p be 1\/1 - 11*(-42)\/3. Let c(v) = w*v - p + 155. Let j(m) = 15*m. Determine c(j(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13094771 divided by 13.\nAnswer: 13094771\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = -5*h - 819. Let s be ((-4)\/(-42))\/(h\/(-273))*90. What is the highest common factor of s and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(304) - (2 + sqrt(304) + 2)) + sqrt(304))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6287 + -2981. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**2 + 3 + 7*y + 1\/4*y**4 - 7\/3*y**3. Suppose -4*p + 8*p = 24. Calculate u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 9. Suppose 4*n = -3*m + 19, 2*m = -8 + 2. What is k(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 3. Let f be d(3). Let m be (-47)\/f + 5 + (-16)\/9. Which is the closest to -1\/7? (a) 6 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2. Let t(d) = 141*d**2. Determine t(j(g)).\nAnswer: 1269*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -60. Sort x, -4, -3, -1 in descending order.\nAnswer: x, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50132908 is divided by 50132888?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/1 + (-5)\/(-25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 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: Let l be 104\/(-78)*6\/4. Let u(p) = -3*p**2 + p - 1. Let k(w) = -2*w**2 + w - 1. Let h(o) = 5*k(o) - 4*u(o). Calculate h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**2 + 282*i - 166. Calculate the remainder when g(21) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3*f**2 - 34623*d**3*f + 7*d**3 - 44*d**2*f - 6*d*f - 2708*f**2 wrt d?\nAnswer: -24*f**2 - 207738*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 11156357 and -1.\nAnswer: 11156356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15766, -64891, -146776, -261427, -408850, -589051, -802036?\n\"Answer: -l**3 - 16374*l**2 + 4*l + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/(-42) - (-72)\/504)\/((-32)\/12 + 2)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d + 20. Let l(r) = -r - 2. Let q(i) = 4*l(i) + n(i). Determine q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (2\/((-6)\/9) - 75). Solve r*c - 36 = 69*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwswqnwswqnswqswd. Give prob of picking 1 q, 1 n, and 1 w.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150516 by 2.\nAnswer: -75258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100001000001010?\nAnswer: -100001000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 80. Let f = -30 - u. Solve 4*i = -g - 15, f*g + g + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2. Let q(r) = -4*r**2. Let l(s) = 3*h(s) + 8*q(s). Let w(y) = -9*y. Let x(t) = t**2 + t. Let c(u) = -2*w(u) - 18*x(u). Determine l(c(m)).\nAnswer: 1296*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3. Let t(w) = -47*w**2 - 83*w - 48. Let r(o) = 5*q(o) + t(o). Let l(f) = -2*f**3 + 16*f**2 + 28*f + 16. Let n(p) = -11*l(p) - 4*r(p). Factor n(i).\nAnswer: 2*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 337 = -5*y, 4*s + 196 = -4*y - 72. Let i = -68 - y. Solve i = o + 4*o, x - 2*o + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from {t: 1, e: 3, m: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -204706?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390849304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 3. Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*-4)**2 + 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 2\/25, -2\/23, -0.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10979314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221.124ml in litres?\nAnswer: 4.221124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 12 = 9*p. Suppose c + 5*x - 11 = 0, -p*c + x - 19 = -7*c. Solve -5*m + 4 = -c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1913, 3486, 4867, 5960, 6669, 6898, 6551?\n\"Answer: -16*o**3 + 1685*o + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -69168 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -16*f**7\/21 - f**5\/20 - 4*f**4\/3 - f - 52. Find the third derivative of d(t) wrt t.\nAnswer: -1920*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 + 13*d + 6. Let s(h) = -3*h**2 + 6*h + 3. Let y(v) = 3*f(v) - 7*s(v). Let y(l) = 0. Calculate l.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 1:00 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20743 + -20743.00015485. Round u to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*q + 7, -85*q = -4*z - 83*q - 84. Which is smaller: -29 or z?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c**3 - 552*c**2 + 6*c - 325. Determine y(46).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 5*g + 5. Let l be b(2). Solve -4*j + 3 - 1 = -2*t, 0 = 2*t + l*j + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 142. Suppose 2*l = -2*l + 4, -l = d*o - 17. Suppose o*u = 4*q + 16784, -5*u + 6*u = -q + 4206. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290748 by -460.\nAnswer: -72687\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v. Let z(n) = 7*n**2 + 5*n - 5. Let y(q) = 8*q**2 + 6*q - 6. Let o(s) = -5*y(s) + 6*z(s). Determine o(d(u)).\nAnswer: 392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1169 - 1096 - (93 + -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 2*b**2 + 2*b**2 - 2*b**2 - 33*b**3.\nAnswer: -33*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(47\/((-27683)\/31)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24152 + 48305 - 24152 + 2049*t)*(-2*t - 4 + 4) as j + d*t + g*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1499*w**2 - 76*w**2 - 76*w**2.\nAnswer: -1651*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404221320 (base 5) in base 14?\nAnswer: 307022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a**5 + 874*a**2 - 34*a**2 + 325*a**4 + 209*a + 2129*a - 1920*a**3 - 6000 + 7184*a - 322*a = 0. Calculate a.\nAnswer: -2, 2\/3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 14) in base 5?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*p + 2*p - 32 = 0, 0 = -4*c - 5*p - 14. Let w = 5 + c. Let z(q) = 3*q**2 - q - 1. Determine z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/15 + x**4\/12 - 2*x**3\/9 + 10. Determine w so that d(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p + 34. Calculate k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -309 - -305. Which is the smallest value? (a) 4 (b) p (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-42)*(n**(-1\/2))**(-2\/5) assuming n is positive.\nAnswer: n**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 533581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44753.05l in millilitres?\nAnswer: 44753050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -29 + -39 + 99256\/1710?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 + -130. Suppose o + 1260 = 5*a, -4*a + 177*o = 180*o - 1027. What is the greatest common factor of a and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 6*x - 16. What is the remainder when 114 is divided by h(11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952961.\nAnswer: 151, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(88) - (sqrt(88) + 3*sqrt(88))))\/(sqrt(32)\/sqrt(4)*-2))**2*-5.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1453*s**3 - 1248*s**2?\nAnswer: 8718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-53)\/((-9911)\/68))\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 3*l - 2*l + (-2*l - 5*l + 2*l)*(-2 - 9 + 4) in the form n + f*l and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4, -9*q + 5*q + 92 = 6*z. What is the remainder when 177 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 80264*f - 402644356.\nAnswer: -4*(f + 10033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheeekevvhevvvvvhh. Give prob of picking 4 e.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147 or -148?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026276 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 24. Suppose i = -3*r - d + 11, 0 = 2*d + 2. Suppose 3*x - r*n = -4, 4*x - 11 - 25 = -5*n. What is the smallest common multiple of 13 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 821*w**2 + 810*w**2 - 11*w + 13*w - 15*w.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 4*a, 48 = 4*s + 4*a + 16. What is the greatest common divisor of 96 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/3 - 2 - -2. Suppose 3*u - 14 = -5*b, p*b - 10 = 2*b + u. Solve 0*x - 8 = -4*x + n, -b*n - 13 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/211 and -57\/1607695?\nAnswer: 339223645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 + 349?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v**2 - 495*v + 963*v - 482*v)*(-2*v**3 + 2*v**3 - 3*v**3).\nAnswer: 24*v**5 + 42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 4372, 9826, 17460?\nAnswer: 27274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 28*d + 584. Let n(w) = -9*w - 194. Let v(c) = -5*f(c) - 16*n(c). Let o be v(-46). Factor 2\/7*b**3 - 2\/7*b**2 + 0 + o*b.\nAnswer: 2*b**2*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110f39 + -4?\nAnswer: -110f3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsfff. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27972870*j**3 + j + 76915164 wrt j.\nAnswer: -167837220*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11100222112212?\nAnswer: 11100222112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, o: 4, j: 6}. Give prob of picking 1 p, 2 o, and 1 j.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/96 and -56\/5?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -52907*y + 52908*y. Solve -1 = b - q, -54*b = -51*b - y*q - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8318*x**2 - 7*x**3 + 76 - 8318*x**2.\nAnswer: -7*x**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k + 5. Let m be (-13)\/(-3)*k*-1. What are the prime factors of (1 - m)*12\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -24*y**2 + 159*y + 410. Calculate c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 4*r**2 + r - 5. Let b be d(3). Let s(p) = b*p - 10*p - 17 - 8*p. Let u be s(-16). Calculate the greatest common factor of 60 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 3074?\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31910487 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/68 or 2.126?\nAnswer: 2.126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 6. Suppose -7*u - 149 = -135. Let z be (u - -6)*(-1 + 2). Calculate n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*g - 26, g + 8 = -3*g. Suppose 2*h + 4*k - q = 36, 55 = 2*h + 5*k. Calculate the remainder when 56 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2604 divided by 434.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**3 - 6*p**2 + 4*p - 1. Let x(o) = -24*o**3 + 11*o**2 - 9*o + 2. Give -9*d(m) - 4*x(m).\nAnswer: 15*m**3 + 10*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*j = 4, 4*j + 15 = 2*i + 23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -112. Let j be (-2)\/(1\/(1\/(-1))) - x. Solve 0 = -2*b + p + 7, -b + j*b + 2*p - 16 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 7*w**2 + 10*w - 8. Let s(f) = 10*f**3 - 20*f**2 + 30*f - 25. Let m(k) = -7*n(k) + 2*s(k). What are the prime factors of m(7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -0.1, -136949?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14 - 24 = 0. Suppose 3*c = -s*w + 52, 4*w = 5*c - 0*c + 60. Calculate the least common multiple of 24 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z - 9. Let d(i) = i. Let r(l) = -6*d(l) + w(l). Let u(p) = 74*p - 1413. Let s be u(19). Let m(q) = 6*q + 4. Give s*m(f) - 3*r(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 2. Let w be u(2). Solve w = h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcwtetwcttccccwwt. What is prob of picking 2 w and 2 c?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 782527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z**(7\/5)\/z*(z*z**10)\/z**(-4) assuming z is positive.\nAnswer: z**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.970538ml to litres.\nAnswer: 0.008970538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68750 + 230243752\/3349. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*b, -20 = 5*b - 0. Let c be ((-42)\/9)\/(x\/(-6)). Suppose c = z - 4. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + (-1572)\/84)\/((-4)\/7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (666 - 4) + 6\/(-2 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6498 and 704489334?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 19*g - 132. Let a(f) = -2*f**3 - 7*f**2 - 2*f - 13. Let r be a(-6). Let s = r - 50. What is the remainder when s is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 4. Let o be g(-6). Let r be ((-1)\/2 - -1)\/((-1)\/(-24)). Solve -o*m - r = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -70*b**2 - 32*b - 25. Calculate x(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 6590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 3, h: 3, c: 1, r: 2}. What is prob of picking 1 x, 2 u, and 1 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/16 - (8955\/20 - 6). Let r = a + 409. Which is smaller: -30 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923 divided by -1?\nAnswer: -4923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 942683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27039011?\nAnswer: 157, 172223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-5)\/4)\/((-4)\/((-16)\/3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41845907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 12c6?\nAnswer: 12c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 6\/(-5) - (-1244)\/(-20). What is the tens digit of (m\/(-4))\/(3\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244945?\nAnswer: 5, 48989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/7 + 63*t**2 - 9261*t + 453789 = 0.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14341 (b) -1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 453 - -55.508\nAnswer: 508.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -56288\nAnswer: 1\/56288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -212520 from 831383.\nAnswer: 1043903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:29 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756111 is divided by 394?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**20*i**(-5\/3)*i**(2\/7)\/i)\/(i**(1\/3)*i*i*i**6*i\/(i\/(i**(-2\/11)*i))*i*i\/(((i*(i*i**(-2))\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + 16 - -41) + -39?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 10*f + 8*f + 7, w + f = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4633\/15 - -309. Let t(i) be the second derivative of 0*i**2 - 2*i + 0 + 0*i**3 + 0*i**4 + 1\/10*i**5 + v*i**6 + 1\/21*i**7. Factor t(d).\nAnswer: 2*d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g + 53*g - 224*g + 12*g + 67*g. Let k(i) = -11*i. Calculate k(y(w)).\nAnswer: 869*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*q - 152*q - 51 - 2*q**2 - 149*q + 449*q as u*q + p + z*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1 - 1 = -3*n, 2*w + 6 = -4*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let o = w + -4. List the prime factors of (o\/3)\/((-6)\/99).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17990*y**2 - 51*y. Let z(f) = -3*f. What is o(z(w))?\nAnswer: -161910*w**2 + 153*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let v = 17889 - 17892. What is the nearest to t in -24, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 41*w + 5. What is the tens digit of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454a (base 13) to base 12\nAnswer: 573b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/((6\/(-4))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 1 + 2)*(165*q + 10*q + 39*q) - 3*q + 2*q + 2*q as b + p*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 781063\/51 - 15315. Which is the closest to 1\/3? (a) 22 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 + 11. Let i(p) = 4*p. What is y(i(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmsm when four letters picked without replacement from mmsjmmsmmsjjmmmmmmjm.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:03 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 4. Let p = -78 - -107. Suppose p = -24*c - 43. Give b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**3 + 4*c**2 + 2*c. Let m be k(-3). Let v = 252 - m. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 1448 = 1217 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -234. Suppose -q - s = -4*s - 493, -q = b*s - 493. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.06 (b) 3\/2 (c) -144 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 5. Let d be q(3). Let a = d + -3. What are the prime factors of (a\/(-1))\/((-7)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6935626488127 less than 0.6?\nAnswer: 6935626488127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 3*u**2 + 20*u + 157. Let q(s) = -2*s**3 + 7*s**2 - 45*s - 315. Give -9*a(i) - 4*q(i).\nAnswer: -i**3 - i**2 - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 27 - 68. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**3\/6 + 4*z**2. Let b(p) = -2*p + 5. Let a(f) = b(f) - 6*u(f). Find the first derivative of a(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*g**3 - 2 + 159*g**3 + 203*g**3.\nAnswer: -82*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5 + s + 5. Let g(b) be the second derivative of 7*b**5\/40 - 35*b**3\/6 - 35*b. Let x(a) be the second derivative of g(a). Give j(x(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/45)\/((-18)\/(-75)) - 21\/63. Let t(c) = c**3 - 5*c**2 + 2*c - 3. What is t(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7503.5152838 from 3.\nAnswer: 7506.5152838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65689, 131428, 197143, 262834, 328501?\nAnswer: 394144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -48. Suppose -2*z = 7*z - 360. Suppose 4*n = 2*f - 8, 0 = 2*f + 3*n - z - 3. Calculate the remainder when v is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 - 5*g - 2. Let z(j) = -17*j**2 + 14*j + 5. Calculate 8*b(h) + 3*z(h).\nAnswer: -3*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061061194 to six dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - u**2 - 49 + 2*u**2 + u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c**3 + 0 + (-3*c**2 + c**2 - 2*c**2)*(2*c + 4*c - c))*(0*c + 6*c - 5*c) to the form i*c**3 + s*c**4 + l*c**2 + g*c + z and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130102.4 * 5.\nAnswer: 650512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 6\/503 in descending order.\nAnswer: 2, 6\/503, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56841800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450))\/sqrt(10) - sqrt(45)) + 4 + sqrt(180).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3929.\nAnswer: -11787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -632134855 - -14.23\nAnswer: -632134840.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50726 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 22 - 54. Find the first derivative of 9*o**4 + o**4 - 5 - g*o**4 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and -2 - 10*(-4)\/(-16)*-2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*s**3 - 206 + 63*s**3 - 233*s**3 wrt s.\nAnswer: -906*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + k)*(5*k - 3*k + 4*k) + 16*k - 9*k**2 - 16*k)*(2*k**2 - 5*k + 5*k) as a*k**4 + b + u*k**2 + q*k**3 + j*k and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 1. Let s(x) = -6*x**2 - 6*x**2 - 2*x**2 + x**3 - 3*x - 5*x + 18*x**2 + 6. What is -6*j(b) + s(b)?\nAnswer: b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1517 and 333?\nAnswer: 13653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u**19\/u)*u)))\/u*u)\/u**(-18\/11) assuming u is positive.\nAnswer: u**(-158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 0.01. Let z = m - -0.06. Let l be (-2)\/2 - 10\/(-8). Is z <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7755 or 65\/2?\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*f = 2*u + 250, 0 = u - 5*f + 38. Let b = 51 + u. Is b*2\/((-16)\/5172) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 3*y - 3, y = 5*w + 58. Let x = -10 + 24. Let j = x + w. Solve a + 5 = 4*a + 2*o, a = -j*o - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.39 + -3.39189. Round l to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, 2, 90702 in decreasing order.\nAnswer: 90702, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let c(h) be the second derivative of -h**6\/90 - h**3\/2 - 3*h. Let l(t) be the second derivative of c(t). Calculate y(l(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.0223?\nAnswer: -0.2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 21*i + 14. Let m be j(11). Solve -11 = -2*z + z + 5*t, 0 = 5*z + t - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419707.\nAnswer: 53, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(2325\/135 + -17). Let q be (2\/58)\/((-2)\/(-38)). Is q bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 415*l**3 - 216*l**2 + 3*l + 3. Let b(v) = -413*v**3 + 215*v**2 - 2*v - 2. Let p(r) = -3*b(r) - 2*j(r). Find the third derivative of p(u) wrt u.\nAnswer: 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - -84 - (-5 - (-18 - 7))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5, -7*q - 3*r = -2*q - 1913. Let w = -242 + q. Calculate the greatest common divisor of 350 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let g(x) = x**2 - 2*x. Let p(d) = d**2 + 15*d + 13. Let b be p(-14). Let l(q) = b*g(q) - 2*m(q). Let v(c) = -c**2. What is l(v(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, b: 1, v: 5, u: 1}. Give prob of picking 1 v, 1 b, 1 g, and 1 a.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22840 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.4, 57, -520, -3\/7 in increasing order.\nAnswer: -520, -3\/7, -0.4, 13, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(5\/6))*j)**(-32) assuming j is positive.\nAnswer: j**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517779482?\nAnswer: 2, 6011, 209431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t + 18. Let g be w(-15). Let l = 121 + g. Sort 5, -1, 0, l in increasing order.\nAnswer: -1, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66694 is divided by 22169.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-18))\/(38\/(-6840)*-20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmxdxxdmux. What is prob of picking 2 d and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/21)*k)\/k*(k\/(k*k\/(k**(-3\/5)\/k)))\/k)\/(k**(1\/4)*((k*k\/(k\/k**(2\/9))*k)\/k)\/k))**(-4\/9) assuming k is positive.\nAnswer: k**(5011\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2. Suppose 0*s = -6*s - 12. Calculate p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -11) + 7\/49*-7. Let l be (-9)\/k + 28\/(-154). Sort 420, 4, l in ascending order.\nAnswer: l, 4, 420","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7720, -30853, -69394, -123331, -192652?\n\"Answer: 2*j**3 - 7716*j**2 + j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042477812 rounded to seven dps?\nAnswer: -0.0004248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 634 = -5*k, 259 = -6*k + 4*k - 3*z. Let h be k\/(-20) + ((-5)\/4 - 0). Solve -4*o = h*g - 17, 5*g + 10 = 6*o - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 1. Let n be 2\/4 + (-42)\/12. Let m(p) = 5*p**2 - 3. Let q(o) = n*m(o) + 8*c(o). What is the units digit of q(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -627*v + 629*v. Suppose 0 = h - v*h - 4*s - 19, 0 = -3*h + 5*s + 92. Solve -h = 2*r - 15*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*o + 12 = 0, h - o - o + 7 = 0. List the prime factors of (-6 + 8)\/(h\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/51 + -15\/34. What is the closest to y in -4, -5\/3, -5, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(468) + -3.\nAnswer: -36*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-1 + sqrt(637)))**2 + (sqrt(13) - (sqrt(117)*2)**2))*-5*6.\nAnswer: -30 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*d - d + 5*t, 0 = 4*d + 5*t - 130. Suppose 0*l + d = 5*l. Let s(b) = b**2 - 5*b - 6. What is s(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 84*n - 72. Calculate x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152995069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/535 + 35861\/4280. Find the common denominator of 1\/7 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36415 to 3 decimal places.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -3124377?\nAnswer: 20\/3124377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71654, 71660, 71670, 71684, 71702?\nAnswer: 71724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3403 + -1506?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -11*i. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 5*j - 54. Let f be h(-10). Calculate the highest common divisor of 32 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*s - 780 = -222*s + 130*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2287 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69*(-4)\/(-12) - 3. Suppose h*m - 2670 - 330 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.46913 and -4.484933?\nAnswer: 3.015803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 31\/(-12))\/((-65)\/26). Let b = 21 - 21.4. Put b, 0.2, a in decreasing order.\nAnswer: 0.2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1831994*k + h + 9 = -1831992*k, -k + h = -2 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14827389 less than 14827390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c + 2. Suppose -5*s - 39 = -2*s. Let j = s - -21. Let n(z) = -5*z + 2 + j*z + 0 - z**3. Calculate -3*a(p) + 4*n(p).\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 17*r - 25 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782473 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18707, 37389, 56053, 74699?\nAnswer: 93327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**6\/195 + 69*p**5\/130 - 71*p**4\/39 + 179*p + 6. Factor b(y).\nAnswer: 2*y**2*(y - 2)*(y + 71)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*-1)\/((-9)\/6). Suppose -x - y = -4. Solve -o - 12 = x*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11891673 * 0.57.\nAnswer: 6778253.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122939205 is divided by 4801?\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05998 + 0.107164. What is o rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -24.16. Let m = 3.16 + n. Suppose -p - 1 - 2 = 0. Which is the second smallest value? (a) p (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-22))\/(6\/56*2744\/784).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c*h**2*u**4 - 9*c - 8*h**2*u - 313*u**3 - 7*u**2 wrt u?\nAnswer: 192*c*h**2*u - 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wwoowwwwwwjwwoc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8269*m + 768 = 8239*m, -145 = -5*t + 5*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-17)*1\/(6\/15).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-32)*2)\/((-1)\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35145*k - 105427. What is o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**30)\/(((n\/(n\/(n\/(n*n\/n**(-2\/53)))))\/n*n)\/n)*(n**(-1\/4)*n)\/(n\/(n\/(n*n*n**(-1\/10)))*n) assuming n is positive.\nAnswer: n**(-30859\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3728 - 2550 = 62*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -1610.\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 65*p**2 - 713*p - 49. Let j be z(51). Factor 28\/9*a - 40\/9 - 4\/9*a**j.\nAnswer: -4*(a - 5)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62882?\nAnswer: 2, 23, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 23. Let w be q(12). Solve w*h - 7*h - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.255003017 + -0.255. What is s rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -m, 37 - 3 = 2*m - 2*u. Calculate the highest common divisor of 60 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-702)*594\/330?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6) + (-39788)\/(-348) is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 2)\/(30\/357). Let m = 71 - r. Let q(s) = s - 4. Let k be q(5). Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y + 153. What is w(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 6 - -3 - -16) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11175643*m**2 - 5*m**3 + 11175643*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1978343 and 9.\nAnswer: 17805087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-2*1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3003040 + -11133?\nAnswer: 2441402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-5)\/(10\/6). Let h = -250.7 + 251. Let j = -0.09 - 4.91. What is the closest to q in -1, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 28*s - 1777. What is the highest common divisor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/7, -0.1, -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/80*150\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 417643 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 237*t + 70380. Determine r(-297).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81006969, 81006975, 81006981?\nAnswer: 81006987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00637309 to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 20. Solve 0 = -5*x - 3*a + 3, 4 - p = x + a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51413320 + 13?\nAnswer: 51413333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*g = 3*g + 143, o - 3*g - 53 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(3\/4)\/x*x*x**0*(x**(2\/11))**34 assuming x is positive.\nAnswer: x**(349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -37.3557\nAnswer: 149.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51041106 divided by -17558.\nAnswer: -2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257807 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 5. Let m be l(-8). Suppose 4*r - m*g = 19, 0 = r - 3*r - g + 17. Let f(s) = -19*s + 741. Let a be f(39). Solve a = 2*d - 1 + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 72\/132) + 19 + (13 - 24)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**6\/360 - x**5\/15 + 7*x**4\/24 - x**3\/3 - 3*x. Let k(p) be the second derivative of b(p). Determine k(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(28)\/sqrt(7)) + 3*(sqrt(3) + 2) + 3)**2 + (1*sqrt(297) - sqrt(297))\/(sqrt(11) - (sqrt(11)*-1 - sqrt(11))*-4).\nAnswer: 72*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.71, 392, 5\/94 in descending order.\nAnswer: 392, 0.71, 5\/94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047143 times 412?\nAnswer: 1.9422916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - 49. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101010010100100000101 - -11?\nAnswer: -10010101010010100100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2100221?\nAnswer: -2100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971077.73 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644449.\nAnswer: 13, 89, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 0*k - 1137*k**2 + 96*k**2 + 7*k - 5*k as q + u*k**2 + r*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o - 128. Determine v(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12cc5 (base 14) to base 11\nAnswer: 31979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-12 - -43) + 1 + -9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*j - 4*j. Suppose -j*a = 2*b - 338, 2*a + 397 = -5*b + 1245. Let v be (-6)\/(-4) + b\/(-20). Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122098.3355 to the nearest one hundred.\nAnswer: 122100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213379213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s + 110*s = 62*s + 360 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 - 16*j**2 + j - 1. Let b be m(4). Suppose 3*f + 2*f + 2*y = 162, -b*f - 4*y = -86. What is the smallest common multiple of f and 11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b21a - 2?\nAnswer: -1b220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -n + 4*t, -3 = 210*n - 209*n + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1886960 and 8240.\nAnswer: 1886960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by 51\nAnswer: -301\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.25183 grams to kilograms.\nAnswer: 0.02125183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -876\/89501 or -1?\nAnswer: -876\/89501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 14*j + 12 = 3*b, 0 = -j + b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(192\/(-16))*51.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -4, -1\/2, 139 in increasing order.\nAnswer: -4, -1\/2, -2\/11, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(525)*-2 - sqrt(525)) - -2*sqrt(525)*-1)\/(((sqrt(63) - (sqrt(63) + sqrt(189)\/sqrt(3)))*-1)\/((sqrt(72)*2)\/sqrt(8))))**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let j = -6 - y. Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14755536?\nAnswer: 2, 3, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*l = 0, -3*c + l + 12 = -2*l. Let q(z) = -z**2 + z + 9. Let v be q(3). Calculate the lowest common multiple of (-3)\/(c*v\/(-9)) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -0.1 (b) -4 (c) -2\/7 (d) -2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 270. Suppose 4*f + 0*c - 152 = -4*c, y = f - 3*c. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 221202201?\nAnswer: 221202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(441)\/sqrt(7))\/sqrt(3))\/sqrt(7) - (sqrt(5184)\/sqrt(12) + (-3*sqrt(108))**2).\nAnswer: -973 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -119, 10, 47\/5.\nAnswer: -119, 6, 47\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0 - 5*o - 2)*(0*o + 2*o + 2*o) + 3*o + 2*o - 2*o**2 - 4*o to the form j*o**2 + a + l*o and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - l - 2 + (-2 - 1 + 1)*(l + 0*l + 0*l) + (41*l - 71*l - 22*l)*(-45 - 23 - 15).\nAnswer: 4313*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v + v + (-1 - 2 + 1)*(v + 2 - 2) - 33171*v - 33859*v + 76756*v to the form i + j*v and give j.\nAnswer: 9725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*k**3 - 2*g**2*k**2 + 39*k**3 wrt g?\nAnswer: -4*g*k**3 - 4*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*g**2*s**2 + 953*g**2 - 2*g + 49786*s**2 wrt g.\nAnswer: -298*s**2 + 1906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2*10*8\/60\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65314558?\nAnswer: 2, 41, 419, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3109*s**3 + 41*s**2 + 1823496*s.\nAnswer: 18654*s + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-1)*(-7)\/((-35)\/16). What are the prime factors of 4 - r\/27 - (-4466)\/6?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529947784.\nAnswer: 2, 23, 137, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t**3 + 7*t**2 - 3*t + 3. Let f(p) = 49*p**3 + 27*p**2 - 13*p + 13. Let y(g) = -6*f(g) + 26*q(g). What is the third derivative of y(o) wrt o?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = 17*c. Solve c = 5*p + 5*p - 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/30 - 6\/(-4). Suppose 0 = -h + 2 + 3. Put 0.5, y, h in descending order.\nAnswer: h, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-797 - -717) + (4 - -43)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -22. Let v be r\/(10*3\/(-24)). Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 63*x**2 - 2. Let k(q) = -785*q**2 + 25. Let l(h) = 2*k(h) + 25*u(h). Let r(p) = -2 + p + 2. What is l(r(d))?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/5))\/(c\/(c\/(c\/c**(-19))*c)))\/(c\/(c\/(c*c*c**(1\/5))))**(6\/13) assuming c is positive.\nAnswer: c**(-1197\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139224141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259236895 and 645.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 45261358.00724.\nAnswer: -45261357.90724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -243005, -243010, -243005, -242984, -242941?\n\"Answer: q**3 - q**2 - 9*q - 242996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(405) + sqrt(405) + 3)**2 + -3*((sqrt(5) + (sqrt(245))**2*-1 - sqrt(5)) + sqrt(5))).\nAnswer: -6*sqrt(5) + 4710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 639, -0.4972, -3, 1\/2 in descending order.\nAnswer: 639, 6, 1\/2, -0.4972, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 - 101 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67)\/(-13) - (-2)\/(-13). Suppose -2*o + 122 = 2*j, -s*o = 2*j - 5*j + 215. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qqqyyqyqqyuyuq?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16969825?\nAnswer: 5, 17, 39929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/585 and 71\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2.2\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.57 and -145994.\nAnswer: 83216.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13900, 0, -1\/13, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -1)\/4 - -5. Suppose -h*v - 52 = -6*v. Let f = -9 + 18. What is the remainder when v is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 - 658*s**3 + 617?\nAnswer: 4*s**3 - 1974*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 14*g**2 + 16*g + 20. List the prime factors of b(-12).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 1\/15*x**6 + 2*x + 0*x**5 - 1\/4*x**4. What is the third derivative of u(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + a = -81, 0*a - 5*a - 15 = 0. Suppose x + 29 - 77 = -5*t, 5*t + 3*x - 54 = 0. Calculate the remainder when o is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101010011101 - -11?\nAnswer: 1110101010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 11*n + 11. Let p(v) = -14*v - 466. Let d be p(-34). Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 44*d**2 - 634*d - 62. Let q be c(19). Is q at most 3776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -16) + -2 + -1 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7))**(-48)\/(q**3\/q*(q\/((q*(q\/(q\/(q*q*q\/(q**10\/q)*q)))\/q)\/q)*q)\/q))**(-27))**(-12\/7) assuming q is positive.\nAnswer: q**(-51516\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgblggbllblwl. What is prob of sequence gg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 - 3*y**2 - y + 2. Let z be -4 + (2 + -1 - -1). Calculate the remainder when w(z) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, -2, 45 in increasing order.\nAnswer: -27, -2, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 163*u**4\/24 + 403*u**3\/6 + 91*u**2. Find the first derivative of h(d) wrt d.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 17*t - 29. Suppose -2*i = -5*i + 2*u + 53, -5*i + u + 79 = 0. Let q be g(i). Solve x + 11 = 3*z, -2*z - x + 0 = q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*a - 27. Put -1\/7, a, -0.04 in increasing order.\nAnswer: -1\/7, -0.04, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 296, 596, 898, 1202, 1508, 1816, 2126?\n\"Answer: l**2 + 297*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 23*p - 6. Let x(v) = 3*v**3 - 4*v**2 + v + 3. List the prime factors of x(p).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/8 + 3\/(-6). Let j be (-9)\/(-6)*(-10)\/(-3). Let l be 2\/j - (-16)\/10. Solve 0 = u + l*r + 4, w*r = -2*u + 8*r + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, 1 r, and 1 b when four letters picked without replacement from nrvbirr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 + -10762\/39. Let m = -127 - -124. What is the nearest to -0.2 in 0.3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -33 (b) 4 (c) -4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 12. Let i be u(-9). Suppose -2*p = -2*j - 4, -4 - 6 = -i*p - j. What are the prime factors of p*7*(-4)\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/12 + 1\/(-2). Suppose 0 = -3*y + 3*m + 384, 4*y - d*m - 191 - 322 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (5\/(-30))\/(10\/(-300))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/900 - g**5\/300 + g**4\/30 - g**3\/3 - 6*g**2. Let a(x) be the first derivative of d(x). Let a(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853274927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 33*j - 21*j = -630 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 - 640*l + 2624 = 0.\nAnswer: -164, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13454*m - 13431*m + 414 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*m**4 - 118*m**4 - 5*m**2 + 33*m**3 + 46*m**4 + 2*m**2 - 3*m**2 to z*m + q*m**4 + u + j*m**3 + o*m**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486\/52 - (-2)\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 6. Let o be d(9). Let n(q) = q**2 - 2*q + 2. Determine n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2367*s**2 + 585*s**3 + 2367*s**2 - 582*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 38. Let g = 7.774 - -82.226. Let r = g - v. Which is the nearest to r? (a) 3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*c = 202*c + 84. Find the third derivative of 3 - c - 9*g**2 - 13*g**5 - 2*g**3 + 6 + 6 wrt g.\nAnswer: -780*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -4, -9, -18, -31, -48, -69?\n\"Answer: -2*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*t - 7240 + 6382 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22700 and 127920?\nAnswer: 145189200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 - -116. Let m = -118.009 - g. What is m rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382402939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 1\/3, 0.214, -11, 19?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1435 and -151\/1722.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*g**4 + 77*g**2 + 19*g**2 + 147*g**4 + 119*g**6 wrt g?\nAnswer: 14280*g**3 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 29*z + 28. Give k(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = 3*a, -6*n + 5*a + 853 = 852 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4042448, -4042447, -4042444, -4042439?\n\"Answer: p**2 - 2*p - 4042447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-588))\/(97\/582*-2)\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 84239440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - 2)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 4392.\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-140))\/(4\/5))\/(2\/(-9)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -10 in ascending order.\nAnswer: -10, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 1, -4*g - 4*m + 5 = -3*m. Which is the fourth biggest value? (a) 0.4 (b) -2 (c) g (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 7*b + 2. Let o(t) = 6*t**2 + 12*t + 3. Let n(i) = -11*h(i) + 6*o(i). What is n(-5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + 14 - (-66 + (26 - -80))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3996 and 3330?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/211 - 1238\/1477. Let i = -5.069 - -5.069. Let w(x) = -x**3 - 8*x**2 - 7*x - 1. Let v be w(-7). What is the third smallest value in q, i, v, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 29*s**2 - 322. Let b be z(28). Calculate the greatest common factor of 90 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 14, 21, 16, -7, -54, -131?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1690.117 - -1688. Let t = l - -2.1. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14553.5 - 13408. Round j to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 1. Let t be w(1). Let x(h) = -3*h**2 - h + 4. Let i be 24\/(-15) + (-2)\/5. Let u(m) = 4*m**2 + m - 4. Let c(a) = i*u(a) - 3*x(a). Give c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31240 (base 5) in base 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3 - 40*c**2 - 395*c + 910 = 0.\nAnswer: -7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 13, 18, 3, -38?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6828 = -4*w - 4*n, -7*w = -2*w + n - 8551. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 3. Let i(p) = -4*p - 4. Let l = 5 - 10. Let v(t) = -t - 12. Let s be v(l). Let k = s - -13. What is k*y(n) - 5*i(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = 0, 0*u = -5*q + 4*u - 18. Let t = 52 + -49. Let y be 1\/(t\/((-12)\/q)). Solve 3 = y*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224601\/584760 - (-9)\/(-22)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = u - 90, 3*u - 30 = -h. Let r(a) = -12 - 18 - a**2 + h. Let q(y) = -y**2 - 23*y. What is q(r(j))?\nAnswer: -j**4 + 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -150a (base 11) to base 10\nAnswer: -1946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 39*k = 44*k - 5, q - 1 = -2*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 9. Let l be c(4). Let w(i) = -2*i + 3*i**3 + 1 + 41*i**2 + 4*i**3 + 4*i - 37*i**2 - 8*i**3. Calculate w(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let f = 10 - 9.59. Let u = f + -0.11. Which is the third biggest value? (a) d (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240032 is divided by 753.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 42*d - 4. Let m be j(48). Calculate the highest common factor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - h + 17 = -1, 3*i + 56 = 5*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4650 is divided by 1392?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 686?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33329101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -301?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22206000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/7 - 7422*g**2\/7 + 4*g\/7 + 29688\/7.\nAnswer: -(g - 2)*(g + 2)*(g + 7422)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-10206)\/(-84))\/27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11466 (base 10) in base 11?\nAnswer: 8684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -111*q**2 + 1999*q - 10. Let c be s(18). Are c and -44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1428 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 319462056 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314250 (base 7) in base 5?\nAnswer: -21000401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 8*s**2 + 4*s + 47. Calculate p(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 1 + (sqrt(72)\/sqrt(3))\/sqrt(8).\nAnswer: 1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - q + 1, 0 = -2*s - 4*q - 0 + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 13) in base 5?\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + 2*d + 3*d + (d - d + d)*(-1 + 1 - 2) + 3 - 3 - d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22525 equal to 22524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 1467885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.15435 to the nearest integer.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -10.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5. Let o(m) = -1. Let v(n) = -5*o(n) - r(n). Let z(s) be the third derivative of -s**5\/20 + 47*s**2 - 4. What is v(z(l))?\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*w**3 + 368*w**3 - 283 - 678*w**3 wrt w.\nAnswer: -1467*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19418*p + 19418*p + 616*p**2 + 3 - 3 + 2*p**2 - 2 + 2 - 2*p**2 + 1 - 1 + 2*p**2 + (0*p + 0*p - 2*p**2)*(0 + 0 - 1) + p**2 + 0*p**2 - 2*p**2.\nAnswer: 619*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25*v - 17. Let i(q) = -25*q + 17. Let l be (-8)\/(-12) + (-5)\/3 - -3. Let b(r) = l*i(r) + 3*t(r). Find the first derivative of b(o) wrt o.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 + 279. Let x be (-10)\/((-3 - (n - 5)) + -4). Calculate the greatest common factor of x and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -997, -1004, -1013, -1024?\n\"Answer: -w**2 - 4*w - 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10656 divided by -698\nAnswer: -5328\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -89517.\nAnswer: -89518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8895907, -17791819, -26687731, -35583643, -44479555?\nAnswer: -53375467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 7297*a + 24 = -7299*a, -32 = 4*q + 12*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/9 - -16\/9. Let p = -2374 + 2373. What is the fourth biggest value in -5\/4, p, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 1. Let d be -1 - -2 - (2 + 0). Let i be z(d). What is the remainder when 3 is divided by 6\/9*(5 + i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let u(z) = -z**2 + 4. Let n(w) = -w**2 + 5. Let a(f) = -4*n(f) + 5*u(f). Calculate 6*a(x) + 5*b(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 5. Let s(m) = -m - 3. Let y(k) = -3*r(k) - 5*s(k). Let g(w) = -5*w + w + 5*w. Determine y(g(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-3)\/(-30)*-1. Let w = -17.1 + 17. Let o = 0.42 - 0.02. Put w, o, d in decreasing order.\nAnswer: d, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from kfukklkufj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 944798341 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 11?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = 409*y - 9516 + 1403. Calculate the remainder when 6418 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 356 = -o, 0*o + 10 = -2*o. Does 39 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -11?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*c**5 + 61532*c**4 + 107444*c**3 + 40960*c**2 - 5232*c = 0.\nAnswer: -218, -1, -6\/7, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5661 = 4*d, 0 = d + d - 2. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -14. Let l be (-1)\/(-2)*0 + b. Suppose 477 = 3*u - 3*n, 654 = l*u + 4*n + n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c = -45*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -442*z + 437*z. Find the common denominator of -1 + 17252\/(-95)*z\/88 and -89\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -3. Let g be ((-1)\/(-2))\/(93\/90 - 1). Suppose j*h - 4*h = -g. Is -5 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 9) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/252*18\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110.32 and 0.2916?\nAnswer: -32.169312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1470 and 6492570?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -h - 3*h + 40, 0 = -3*v + 39*h - 40*h + 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 10, -4*c + 2*p = 6*p + 40. Let v = c - -57. Let n be 3 + (-152)\/v + (-3)\/(-9). What is the closest to 2 in -5, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15145.7+490480342\nAnswer: 490465196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 40131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5250603.88 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 368.45 - 358. Let t = f - 9. Let a = 1.4500103 - t. What is a rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t - 15. Let n be (-1)\/2*-6 - t. Let j(y) = 4*y + 6. Let v be (30\/6 - 6)\/((-2)\/(-10)). Let h(c) = 5*c + 7. Calculate n*j(d) + v*h(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.076*0.04\nAnswer: -0.00304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -97, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 4c817?\nAnswer: 4c80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 34.4\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5282 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose -z*f - 45 = 4*t, -2*f + 0*f = 2*t + 24. What is the common denominator of (-30)\/(-16)*3\/t and 41\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(448) + 0 + sqrt(448) - (sqrt(448) + -2 + sqrt(448) + 5) - (5 + -3*sqrt(448) + sqrt(448) - (0 + sqrt(448) + -4 + sqrt(448))))**2.\nAnswer: -448*sqrt(7) + 7213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221112010101 (base 3) in base 14?\nAnswer: -4c5ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3395 - 3388. Let h(r) = -2*r - 52. Let y(u) = -26 + 0*u + 2*u - 3*u. Let l(w) = n*y(w) - 4*h(w). Determine l(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.939um in centimeters?\nAnswer: 0.0169939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - w - 10 + 1, 5*w = -25. Calculate the remainder when 27 is divided by c*(51\/(-2))\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 127\/3. Let k = 5700 + -5437.9. Let j = -262 + k. What is the third smallest value in 2, i, j, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40723707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:47 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 + a**2 + a + 1. Let d be w(-2). Calculate the greatest common factor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - 12?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 9416010156368?\nAnswer: 9416010156368.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 10*h. Calculate i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 w, and 2 f when four letters picked without replacement from {q: 1, t: 1, w: 1, f: 2, a: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v - 29. Let s(i) = -i + 5. Give 4*m(n) + 22*s(n).\nAnswer: 6*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - z + 1. Let t be 1*(6 - 3) + -2. Calculate s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/(-9) + (-35 + 40)*7492\/5?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 6. Let n be m(-2). Suppose 18 = -s + 2*t - 7*t, 0 = t + 4. Suppose 5*z - 6 = s*z. Sort n, -3, z in ascending order.\nAnswer: -3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10377\/4 - 2607. Let a = u + 467\/36. Solve -10\/9*c - a - 8\/9*c**2 = 0 for c.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11068 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2449\/3080 + 3\/616. Factor -2\/5 - c*m - 2\/5*m**2.\nAnswer: -2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31902954.60357 take away -0.06?\nAnswer: -31902954.54357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73480 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 161 * -2646\nAnswer: -426006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 316\/44 - 4\/22 - -1. Suppose 9*r = 7*r + n. Let p = -3 + 5. Solve 3*b = -p*g - 1, -15 = 3*b - r*g + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06889344 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(2 - 15) + 2. Let b be 50472\/k - (-2)\/6. Suppose 7*v - 2*v = b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6586?\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2260 divided by 452?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 466*m + 990*m - 450*m + 1923*m as v*m + z and give v.\nAnswer: 2929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -125*w**3 + w**2 - w + 1. Let v be l(1). Suppose -3*h + 9 = 612. Let r = v - h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 8316, 4, 377, 1.\nAnswer: -0.2, 0, 1, 4, 377, 8316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7514, 15002, 22490, 29978, 37466, 44954?\n\"Answer: 7488*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742.4 - -742. What is the nearest to 1.5 in 2\/13, -5, g, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.43104 to two dps.\nAnswer: -8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - (25 + -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 2919?\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*m**3 - 18\/7*m - 24\/7*m**2 + 44\/7.\nAnswer: -2*(m - 1)*(m + 2)*(m + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a386 + -3620?\nAnswer: -a29a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44901 times 1.5\nAnswer: -67351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2658 and 48.\nAnswer: 21264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -13. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 1329016*w + 110392720516 = 0. What is w?\nAnswer: 166127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002774 rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**7\/840 + l**6\/180 + l**5\/60 + l**3\/2 - 11*l**2. Let c(k) be the first derivative of s(k). Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13212023 (base 4) to base 8\nAnswer: 74613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 2*t + 5*a, 2617*t - 2621*t = -3*a - 17 - 49 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3230 - 1101?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/13*h - 2\/13*h**2 + 342\/13.\nAnswer: -2*(h - 9)*(h + 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*h + 2850*h + 69414 = 826*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (5 + sqrt(171)*4 - sqrt(171)) - 3*(1 + sqrt(171)))**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {z: 3, c: 6, t: 4, d: 2, g: 4, j: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -1\/2*p**3 + 0*p + 4*p**2 + 0 - 1\/20*p**5 - 1\/4*p**4. Suppose u(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19868878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 4*m - 1. Let i be a(-2). Let n be 120\/14 + -3 + (-48)\/(-14) + -5. Let g = -5 + 10. Put g, i, n, 1 in decreasing order.\nAnswer: g, n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/30 + o**4\/8 + 2*o**3\/3 + 11*o**2. Calculate r(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = -179*l + 2272. Let n = 146 + -102. What is the remainder when n is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k + 7 + 23*k - 13*k)*(1 - 5 + 0) - 4*k - 4*k + 5*k to z*k + y and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 + 4*s - 2. Let d be w(-2). Solve -3*n = -2*v - 2*n, 3*v + d*n = -14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15467, -5, -1, -56, 8, -2.\nAnswer: -15467, -56, -5, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o. Let g = -36 + 48. Suppose 0 = -2*y - s + 16, s - g - 25 = -5*y. Does 15 divide t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, 27, 184, 503, 1038, 1843, 2972?\n\"Answer: 9*m**3 - 14*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-32))\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 10*x**4 - 8*x**4 + 20*x**4 + (2*x**4 + 1 - 1)*(0 - 3 - 1) as a*x**2 + l*x + f*x**4 + n*x**3 + y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66245105 (base 7) to base 8.\nAnswer: -25555353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1.449\nAnswer: 0.7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + 124\/28. Let b = -127\/35 + c. What is the nearest to 2 in -0.3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17*3\/(-3) + -2. Suppose 3*v + 2*v + 25 = 5*z, -v - 3*z = -k. Solve l + 3*h - 20 = v, 3*h = 3*l + 2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 5 (c) -8019869\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -8. Let b be 1452\/42 + y\/(-7). Suppose 5 = 5*w - b. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104140 divided by -2540.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117417061.\nAnswer: 117417061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 239 + 193 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 13*q = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 25. Let a(s) = s + 6. Let p(x) = -25*a(x) + 6*m(x). Let k(j) be the first derivative of -2*j**2 + 165. Calculate p(k(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2190 in 0.013, -0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bayxvqy. What is prob of sequence vyy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 4*q + 1254. What is the greatest common divisor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-238)\/28)\/(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**5 + 11*n**5 - 4*n**5 + (n**4 + 3*n**2 - 3*n**2)*(0*n + 3*n - 4*n).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 2?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472227576 by -9544.\nAnswer: 49479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in 5, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/216*-15*(-3)\/30.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a - 3*y = -35, -5*a + 45 = 4*y. Suppose 0 = -a*k + k + 8. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -624 + 610. Let d be (-8)\/32*(o - -2). Sort -76, d, -3.\nAnswer: -76, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 - 10*i**2 + 943*i. Determine p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Suppose -p - 9 = -2*k, 3*k - 5*p - 23 = 4*k. Let n(a) be the first derivative of -k*a**3 + 0*a**3 + 2 + a**3. What is o(n(z))?\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -161 (b) 3\/2 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 9*k + 1. Let m(l) = -2*l**2 + 4*l. Let d be (2 + 116\/(-12))\/(3\/(-36)). Let g = d + -94. Give g*q(s) + 5*m(s).\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3 + 2*i + 0 - 2. Let c(h) = -10*h - 1130. Let t(p) = 2*p + 251. Let s(g) = -4*c(g) - 18*t(g). Give 11*n(k) - 6*s(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5 + 10*i + i**2 - 5*i**2 - 15. Let v(o) = 5*o**2 - 11*o + 11. Let n(u) = 4*q(u) + 3*v(u). What are the prime factors of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5394 - 4231. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let k(p) = 680*p + 684*p + 3 - 1357*p + 3. Calculate -k(f) + 5*r(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1140.7 + -352.3. Let l = -1642.4 - g. Round l to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 282 + 226a?\nAnswer: 24ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-3*sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.09 (b) -2\/1793 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 4*j - 9. Let m be o(5). Let u be ((-10)\/20)\/((-2)\/m). Is u smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1024)\/30 + 2 + (22 - (-14104)\/(-645))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182150591 to the power of 1\/2, to the nearest integer?\nAnswer: 13496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 85, -10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 31652.\nAnswer: 126608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let i = 1646 + -1648. Put x, i, 0.5 in descending order.\nAnswer: x, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2054 - 2030 = 2*d - 6*i, -4*d - 4*d - 24 = -10*d - 2*i for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*m - 63 = 0, -2*a + 31 + 22 = -5*m. Solve -251*t + 250*t + 21 = -5*h, 3*h + a = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.95 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2 + -3)*-3. Suppose v*b + 3 = 72. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 23 = 2*s. Suppose h + h = s*h. Solve h*w**2 + 18\/5*w - 3\/5 - 96\/5*w**3 = 0.\nAnswer: -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8690290365.\nAnswer: 3, 5, 29, 47, 425057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 13*f**2 - 40*f + 24. Determine u(-15).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1103 - 1098. What is the second biggest value in i, -0.4, 307?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11.7. Let h = -0.3 + k. Let z = -466 - -462. Which is the nearest to -1\/4? (a) z (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 270 = 4*t, -2*t - 975 = -4*j + 3*t. Let i = -70 + j. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*p + 97*p**2 + 150*p + 95*p**2 + (-3*p**2 + 0*p**2 + p**2)*(0 + 3 - 1).\nAnswer: 188*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1123 - -6?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.22 + 0.88. Let l = d + -3.472. What is l rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80301423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*1661\nAnswer: 66.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 309.5063 nanometers?\nAnswer: 0.3095063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = a + 35529, -24*z - 2*a = -27*z + 26653. Let d(t) = t**2 + z*t - t**2 - 3*t**3 - 8884*t + 2. Determine d(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f - 5. Let h be r(4). Let y = h + 18. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4905 - 727*h**2 + 4905 + (-h**2 - 2*h**2 + 5*h**2)*(1 - 5 + 2) + h**2 - h**2 + h**2.\nAnswer: -730*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/105 + 753*p**5\/20 - 23*p**4\/12 - 7*p**3\/2 - 5746*p**2. Find the second derivative of h(o) wrt o.\nAnswer: -24*o**2 + 4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2\/21, 3, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*z - 2*c + 20, -z = -3*c + 15. Let j = z + 5. Suppose -5*o + 21 = -5*a + a, -5*a = -j*o + 5. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 1, j: 2, r: 1, s: 3, v: 5}. Give prob of picking 1 v, 1 w, 1 o, and 1 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 + -1)*109\/(4360\/(-180))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + -8 - (-43 + 39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1620d?\nAnswer: -1620a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 1. Let x(o) = -9*o - 2. Let m(q) = -2*q. Suppose -3*b + 0*b = 18. Let c(t) = b*m(t) + 2*x(t). Determine -c(u) - 4*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000295117985 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1413464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0 - 1\/6*s**3 + 6*s + 0*s**2. Let u(g) = -4*g**2. What is r(u(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -56?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 194.45 - 163226\nAnswer: -163031.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 31. Suppose -39 = z + d*z. Let q(c) = -c + 30. What are the prime factors of q(z)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1338 and 564.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*g**4 + 310*g**2*p - 4291*g*p + 3 wrt g?\nAnswer: -300*g**2 + 620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -367874*n. Let v(w) = 1013*w**2. Determine v(r(d)).\nAnswer: 137090586514388*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 4, -4042, -157 in descending order.\nAnswer: 4, 1, -1, -157, -4042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 6*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 15. Let n(m) = m**2 - 4*m + 7. Let d be n(5). Let k be y(d). Let r be (k\/16)\/((-27)\/36). What is the third biggest value in r, -0.5, 5\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (0 - 0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 307*w - 646. Let c be l(-79). What is the greatest common factor of 6955 and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/36 - l**5\/4 - 3*l**4\/4 - 4*l. Let d(n) be the third derivative of u(n). Differentiate d(p) wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8750 and 29074375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 117.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 28, 1\/4, 2, -26, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v + 1392*v**2 + 3 + 2 + 53*v - 45*v in the form n*v + g + d*v**2 and give d.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1131033310 (base 4) to base 10\nAnswer: -381940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 4*i**2 + 2*i**2 + i**3 - 8*i**2 to s*i + f + z*i**3 + d*i**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4024 (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:01 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 7708350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Suppose -u + 2*c = -12 + 6, 3*c = -4*u + 46. Let b(v) = 54*v**2 + 2*v - 45*v**2 - 9*v + u*v. Give b(d(n)).\nAnswer: 36*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/5 (c) -2867\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (5\/3 - 0). Suppose -430*w + 927 = -77*w - 838. Let p = -0.8 + -1.2. What is the biggest value in 2, p, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001415 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.971 + 0.971. Let u be 6\/4*(-2)\/(-4). Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1548 divided by 3.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 - 7\/((-294)\/(-120)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426810997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/7, 5, -5, 477\/2, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/45? (a) 8\/3 (b) -2\/11 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*(-344)\/6. Let r = -25 - z. Let f = r - 33. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d - 6. Let a(q) = q**3 + 18*q**2 + 15*q - 31. Let n be a(-17). Is k(n) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**20\/h)**(-37))**(-2\/171))**42 assuming h is positive.\nAnswer: h**(1036\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -507.11\nAnswer: 28905.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 6 + 8 - 6. Give w(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.14 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-3) + 7 + -2. Let g(y) = 5*y**2 - 2*y + 1. Is 5 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33879861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of (162\/1458)\/(2\/31986)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 2, s: 6, q: 2, i: 6}. Give prob of picking 1 j and 3 i.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-4*7\/((-280)\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3 - (-33839)\/(-10374).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 164 - 749. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -457988 + -0.4\nAnswer: -457988.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4 - 57761*t**3 + 34896600*t**2 - 6995320000*t + 466888000000 = 0.\nAnswer: -58361, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -98, -150, -206?\n\"Answer: -2*a**2 - 42*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.105, 2\/15 in descending order.\nAnswer: 0.6, 2\/15, -0.105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.925 + -0.075. Let j = t + 41.99999925. Round j to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = 2*k - 2, 4*g - k - 13 = 0. Suppose a = -g + 5. Solve -s + 4*u = -9, -4*u + a = 2*s - 7*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -119*z**3 + 3*z**2 - 24*z - 5231. Let y(p) = 238*p**3 - 6*p**2 + 60*p + 10459. Let b(v) = 5*n(v) + 2*y(v). What is the derivative of b(j) wrt j?\nAnswer: -357*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Suppose -r = -f*r + 228. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -33221 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = 2*k, -13*k + 12*k = 2. Solve -v + a - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162750 = -11*n + 2*n + 226*n. Calculate the smallest common multiple of 225 and n.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 8. Let m be x(9). Suppose 630 = m*c - 7*c. Calculate the remainder when c is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*s + 179, -6*x - 200*s + 1046 = -195*s. What is the remainder when 4618 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = u + 31. Let g = -51 + u. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2\/(-20)*((-252)\/(-301))\/18.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897087519?\nAnswer: 2897087519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 + 3*t**2 - 14.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 818*g**2\/7.\nAnswer: 2*g**2*(g - 409)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 q when three letters picked without replacement from dqdcqdcqiddccdddipq?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 1, 5*p - 3*j = 18 + 5. Suppose -3 = p*x + 1. Suppose 6 = r + 5*s, -4*r + 8131*s - 8133*s = 12. Sort -3, -2, r, x.\nAnswer: r, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 11*p - 14. Let f be o(7). Is (f\/(294\/(-144)))\/(1\/(-28)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 20.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - 0.2. Let j = 44.4 + -40.4. Which is the closest to l? (a) j (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4*w)\/w)\/(w\/(w\/(w\/w**5))) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -956996 (base 11) to base 14\nAnswer: -2bc376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/4 (b) 109 (c) -1\/4 (d) 1\/4 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3735406*p**2 + 2964392 wrt p.\nAnswer: 7470812*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4042*m + 8080*m + 20 - 4036*m.\nAnswer: 2*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-105419)\/(-8760) - (-4)\/(-10). Let n = v + -2\/219. Let u = 6853 + -150837\/22. What is the common denominator of u and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15.2. Which is the closest to 0.1? (a) 1\/60 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = -k. Calculate the greatest common divisor of 15 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 9*b**2 - b - 16. Let q(n) = -n**3 + 2*n**2 + n + 1. What is -c(l) + 3*q(l)?\nAnswer: -l**3 - 3*l**2 + 4*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-6*(-3)\/6. Let k = z - 5. Suppose 4*r = -k, -4*h - 2*r + 5 = -3*r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 56\/16)\/(152\/(-2432)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 + w**2. Let r(t) = t + 6 - 4*t - t. Let u(d) = 7*d - 11. Let z(a) = -11*r(a) - 6*u(a). Calculate z(x(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/87 in 7, 2, -1038?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**9*i*i*i\/((i**(3\/5)\/i)\/i)*i)\/(i**(3\/7)*i**(-2\/25)*i) assuming i is positive.\nAnswer: i**(2459\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -306*f**2*m**2 + 93*m**2 wrt f?\nAnswer: -612*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/288 and -109\/147888.\nAnswer: 295776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (12 + 12)) + 3 + 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9418470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8*-2*0. Let u(q) = -q - 2. Let c be u(-4). Let w = 0 + c. Solve m + 0 + w = b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16335 - -38768. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132731875366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1 + (2 + 3 - 3)*(1 + 3 - 2))*(-i + i - 3*i) + 0*i - 4*i + i)*(-3*i + 4*i - 2*i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/5 + 4565172*k\/5 + 41086791\/5 = 0.\nAnswer: -9, 1521733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1088)*2)**2 + 5*(sqrt(1088) + (sqrt(1088)*-2)**2) + (6*-6*(sqrt(1088) + sqrt(1088) + -2*(sqrt(1088) + -2)))**2.\nAnswer: 40*sqrt(17) + 81664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 6*h + 5. Let d be a(12). Let u = d + -73. Differentiate 17 - 4*m**4 + 11*m**u + 14 with respect to m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(803\/801 + -1). Let j = q + 186. Suppose 0 = -5*x + w - 3*w + j, x - 3*w = 94. What are the prime factors of x?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6*j + 4*j + 10 = 0, 2*j - 4 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22565696479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2894*r**2 + 3511608*r**3 - 3511601*r**3 - 2894*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Let g be 14\/(-4)*6 - j. Let h = -6088 + 6066. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 237565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*p - 130, -40 + 10 = -p + 5*j. What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 1\/2 (c) 0.2 (d) -2\/727\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1216956, 2433910, 3650864, 4867818, 6084772, 7301726?\nAnswer: 8518680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 17*x - 60. Give d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1030065 at least as big as -1029679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - 5*l + 3. Let b be q(1). Let p be (-2 + 4\/6 - -1)*b. Is -3\/22 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, -59822, -1\/4, -4\/7 in descending order.\nAnswer: 2\/11, -1\/4, -4\/7, -3, -59822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 + h**4\/2 - 11*h**3\/6 - 9*h**2. Let z be y(11). Which is greater: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 1, r: 7, d: 6}. Give prob of sequence ridd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86810, -86861, -86942, -87053, -87194?\nAnswer: -87365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*h**5 - 165*h wrt h.\nAnswer: -3100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 2*h + 2*h)*(0*h**2 + 0*h**2 - h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 13*z - 8*z. Suppose z = 4*u - 3*u. Suppose -14 = -2*d + 20. What is the remainder when u is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7025, -27985, -62873, -111677, -174385, -250985, -341465?\nAnswer: -445813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 258\/21 - 2\/7. Solve l = 3*i - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*w - 4, 1 = -z - w - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9*a - 3*n + 88, 4*a = -n - 104. What is the common denominator of 5\/a - (372\/40 - 6) and 101\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + -1. What is the common denominator of -111\/22 and (-2)\/6 + v\/(-36)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5\/4 + 17127*o**4\/4 - 4123971*o**3\/4 - 8299335*o**2\/4 - 2079117*o\/2 = 0.\nAnswer: -1, 0, 254, 5457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82738.8 micrograms in kilograms?\nAnswer: 0.0000827388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = -15 + 301 + 50 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18040 and 5535.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193431 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 + -256. Suppose u = -m + 40, 2*m - 2*u - n = 3*u. What is the greatest common factor of 132 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 24 = -38. Suppose s - 1 = 5*t + 15, -2*s + 4*t = -r. Let x = s + -39. What is the least common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5515 - -5582. What is the remainder when 3547 is divided by o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345663 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: Find the second derivative of 30*w**2 + 34*w + 2 wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - n + 5*g = -22, 4*n = g + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35973606 by 5.\nAnswer: 35973606\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4460 divided by -892\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/11 (b) 0.1 (c) 2\/11 (d) -1\/229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.701mm to meters.\nAnswer: 0.933701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1235534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 12*r**2 - 14*r - 8. Let d be i(-13). What is the second derivative of -4*c + 6*c**5 - c**d + 4*c**5 wrt c?\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0 - y + 1 - y - 4*y + 4*y - y + 5*y - 3*y + (-4 - 2*y + 4)*(4 + 0 - 3))*(-3*y + 3*y + 2*y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 8*h - 13. Let u be v(-5). Suppose 2*c = u*c + 3*c. Solve -4*t + c*q - 2*q = -6, -2*t + 4 = 2*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + a + 14 = 0, -11*a = 5*r - 15*a - 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2122 or -2119?\nAnswer: -2122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + sqrt(5) + sqrt(80) + -4)**2 + (sqrt(20) - -1*sqrt(180))\/sqrt(4).\nAnswer: -68*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o + 53*o - g + 34 = 0, 2*o + g = 18. Solve 5*t + 32 - o = -p, -36 = 5*p + 4*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*g*i**2*z**3 + 328*g*i*z**2 + 15*g*i*z - 3*g + 979*i**2*z**3 + 2*i*z**3 wrt i?\nAnswer: -556*g*z**3 + 1958*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7879084 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/33, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875 = -4*v + q, -3*q - 195 = -v + 2*q. Suppose 6*u = u + v. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/7, 4.18, 4, 0.4, 2\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 2603*i - 1 - 229*i + 16 in the form q*i + h and give q.\nAnswer: 2374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a654 + 9?\nAnswer: 1a662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 6810*d + 1 + 2311*d - 1.\nAnswer: d**3 - 4499*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4 - -1 - 1449\/(-207). Let v = 0 - -3. Solve v = -k + l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 + 14 - 14)*(-2 + 2 - 2*u) + u**3 + 4*u**3 - 2*u**3 - u**2 + u**2 + u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 45\/2 of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 773 - 772. Suppose -2*x + 206 = 4*d, 2*x = 2*d + x - 109. Calculate the greatest common factor of u and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 9*t**2 - 8*t + 4. Let m be z(8). Let k = m - 9. Which is the nearest to 0? (a) k (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 14*x**2 + 11*x - 10. Let y(j) = j**3 - 5*j**2 + 9. Let v be y(5). Let d be w(v). Round d to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:27 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 - -1.9. Let q = i + -2. Which is the nearest to 1? (a) 0.2 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13548583.\nAnswer: 59, 229637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + d**3 + 2*d**4 + (2*d**3 - 5*d**3 + d**3)*(2*d + d - 5*d) - 4*d**4 + 2*d**4 + 3*d**4 + (6*d + 7*d - 3*d)*(d - 2*d - d)*(1 + 0*d**2 - d**2 - 3).\nAnswer: 27*d**4 + 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 24. Suppose 5*d = -r*d + 546. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41814 is divided by 189?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 - 0 - -3)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 9. Let z(w) = 4*w - 22. Let q(b) = b - 7. Let v(l) = 7*q(l) - 2*z(l). Let r = 10 + -7. Let x be (r\/(-6))\/((-2)\/12). Determine x*g(t) - 5*v(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/19356 and -97\/90328.\nAnswer: 270984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/41))*o**19)\/(o**(-23))**(11\/5) assuming o is positive.\nAnswer: o**(14278\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 2*n + 44. Let b be w(0). Calculate the greatest common factor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -5 - (-21 - (2 - -7)). Let z be ((-75)\/(-4))\/((-3)\/(-40)). Let t be z\/7 + 4\/14. What is the highest common divisor of t and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*3*6)\/sqrt(5))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88699 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p. Let u be -2*-2*10\/8. Let b(z) = -10*z + u*z + z. What is b(v(a))?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -520*n*z**4 + 3*n*z + 18*n wrt z?\nAnswer: -6240*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t**2 - 9*t. Let l(v) = 6*v**2 - 14*v + 5. Let a(w) = -7*w**2 + 17*w - 6. Let u(h) = 5*a(h) + 6*l(h). Determine -4*j(k) - 36*u(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/8 - 25476*u + 9912915\/2 = 0 for u.\nAnswer: -68130, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, 3, -21 in decreasing order.\nAnswer: 4, 3, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -3, 1.\nAnswer: -3, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - a = -0*p - 325, 3*a = -p + 73. Calculate the least common multiple of p and 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5*(0 + -12 - -2). Put -1, -12, v, 1 in decreasing order.\nAnswer: 1, -1, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 6 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b - 3*h, 3*b - 3*h + 2 = -7*h. Let c be ((-2)\/4 + 0)*-6. Suppose b = -q + c*q. Solve 4*t - q - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -2*f + 6*f, 4*f = 3*s - 15. Is f < 2\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82243854*a**3*s**3 - 107*a**2*s**2 + a*s**3 - 20*s**3 + 1738*s wrt a.\nAnswer: -493463124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50300012 (base 6) in base 11?\nAnswer: 892151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1111000100000110001000?\nAnswer: 1111000100000110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111011 (base 2) in base 7?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 18. Let j be q(-9). Solve 0*k - 14 = -5*k - 3*o, 3*k - o = j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 535632 or 535650?\nAnswer: 535632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -25, -631 in decreasing order.\nAnswer: -25, -29, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1))\/(h*h**(-1)\/h))\/(h**(2\/3)*h)**(-21))\/((h**(1\/8)*h**(3\/8)\/h)\/(h\/((h*h*h**2)\/h))**48) assuming h is positive.\nAnswer: h**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -81, -158, -265, -402?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83450 and 8400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 - 5*u**4\/12 + 2*u**3\/3 - u**2. Let r be j(-10). Let v = 13 - r. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -44*i + 5. Let g(z) = 22*z - 2. Let y(l) = 3*d(l) + 7*g(l). Let q be y(1). Solve -j = 5*v + q, 0*v + 5*j = -3*v - 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -192858\/50933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -9 - (27 + -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**4\/12 - 13*s**3\/6 + 99*s**2\/2 + 151*s. Let h be u(-19). Is h less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73540 is divided by 14242.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiididiiiiiiiiiii. What is prob of picking 1 d and 1 i?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**2 - 11*t - 6. Let d(b) = b - 1. Let z(m) = -6*d(m) + o(m). Find the second derivative of z(k) wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - u + 14, -i + 3*u - 3 = i. Let x be (1\/3)\/(i\/(-9)). What is the tens digit of x*(720\/(-4))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g**4 - 85\/2*g**6 + 0*g**3 + 4 + 1\/2*g**2 - 70*g + 0*g**5. Find the second derivative of j(a) wrt a.\nAnswer: -5100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8697 is divided by 8623?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2085 - 2?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -42331?\nAnswer: -2\/42331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - -3123. Is 29 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3 (b) 133 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 - 213. Let t be 80\/w*(-18)\/24. Which is the second biggest value? (a) 0.9 (b) t (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835552 to the power of 1\/2, to the nearest integer?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*211480\nAnswer: 42296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009968703 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 1985444*c + 9927320.\nAnswer: -4*(c - 496366)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*p - 21, 4*p + 18 = 4*h + 3*p. Suppose l - 21 = -3*i, -6*l + h*i + 165 = -l. Let u = l - -32. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1640 and 5248?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 93 + 43 + -36.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 5. Let p(n) = 6*n - 8. Let o(m) = -8*l(m) - 5*p(m). Let w(a) = -10*a. Calculate o(w(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xpxxxpppppxxpppxxxpp.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1*20\/(-13 + 3). Suppose 2*q - 3 = l*k - 1, 0 = -4*k + 20. What is the nearest to 0.1 in -0.4, q, -5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444177 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 285153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4763878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27003 - -81011\/3. Which is the nearest to -0.031? (a) t (b) 0.4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*u**2 + 1 + (u + 0 + 0)*(3*u + 2*u - 2*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 268308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/11 in -3, -1\/4, -1.6, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3 + 9. Let q = -4 - s. Suppose 0 = q*l + 3*l - n - 65, 2*l - 39 = 3*n. Calculate the remainder when 34 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151860.447 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - q - 2*q)*(q**2 + 1 - 1) + (3*q - 4*q + 0*q)*(7*q - 2*q + 0*q)*(-3*q + 2*q - 5*q) to the form r*q + i*q**2 + d + u*q**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0197767 meters in nanometers?\nAnswer: 19776700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 2*o - 40. Let h = o - -135. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from podwqpn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 - 129*u + 10. Suppose -20 + 57 = 5*h - 3*m, -5*h + m = -39. Let f be q(h). Is f < 31\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153175 + -62588. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188833386 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -13. Solve -z*j = -4*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 + -0.16. Let n = w + -0.6. Let r = 0.1 + 0.3. Which is the biggest value? (a) 1 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.449632364 rounded to two decimal places?\nAnswer: 3.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**7\/126 - 8*h**6\/45 - 91*h**5\/60 - 58*h**4\/9 - 134*h**3\/9 - 56*h**2\/3 + 502*h. What is z in v(z) = 0?\nAnswer: -7, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22703103 at most as big as 22703106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49767061?\nAnswer: 19, 1039, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 533.9074149109 - -0.0917480891. Let n = -534 + y. Round n to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 11) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -4\/5 (c) -9.9 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1141*f*m*s + 9*f*m - 183*f*s - f + 12*s wrt m.\nAnswer: -1141*f*s + 9*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16 + 701331030179?\nAnswer: 701331030177.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 2*o + 3*o - 256 - 158, 40*c = 35*c - 3*o + 250 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 9*o**2 - 48*o + 36 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*i - 1 + 27*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f)*(3 + 0 - 1) + 0 + 0 - f + (327 - 539 + 557)*(-2*f + 5*f - f - f - 2*f + 4*f + 4*f - 2*f - 3*f + (-2*f + 3*f + 0*f)*(-2 + 3 + 1)).\nAnswer: 1381*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*g - 77685, 5*c - 129370 = -6*g + 11*g. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*w - 16 = 200*w - a, 2*w + 45 = 5*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-22 - -29))\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -63 - -21 - 58\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/96 and 11\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 5. Let g be l(4). Let x = 11 - g. Suppose 0 = 3*n + 4*o - 19, 2*n - x = -0*n - 2*o. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8502)\/(-18421))\/(((-2)\/65)\/((-4)\/(-15))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d**3 - 4*d**3 + 3*d**3 + 20 - d**2 + d. Let x be (-15 + 15)\/(2 + -3). List the prime factors of a(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 3*(-6)\/9. Find the second derivative of -7*x + 4*x**2 - 7*x**2 - 4*x**y + 3*x**2 wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:29 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*z = -28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249590 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50772*n**4 - 50772*n**4 + 1983*n**5 - 2148*n**2 wrt n?\nAnswer: 118980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 0, 2*t + 5*j = 35 - 10. Let l = 7 - t. Let k = -4 + l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 4*f + 7*f - 6*f as k + d*f and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2928, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.3 + -29. Let q = n - 4.3. Which is the second biggest value? (a) -1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106925 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + ((sqrt(140)*-4 - sqrt(140))*3 - sqrt(140)))\/(sqrt(343) + -2*sqrt(343) + (sqrt(14)*-1)\/sqrt(2)).\nAnswer: 15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - -5) + -1 - (-79 + 79)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -33, 4 in decreasing order.\nAnswer: 4, 3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(484)*-1)*-5)**2.\nAnswer: 75\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o - 1. Let d(k) = -2*k**2 - 5*k + 4. Let l(z) = d(z) + 2*p(z). Let b be l(2). Solve -4 = 4*m - 0, 5*t + b*m = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.85 - 0.15. Let n = 8.9 + g. Put 7, -2, n in increasing order.\nAnswer: -2, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*b + 6, 0*r + 3*r = -5*b + 35. What is the second smallest value in b, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i**3 - 62*i**2 - 49*i - 38. Determine z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9541 divided by 329\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 + 26*n + 16. Determine u(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19443 and 2.\nAnswer: -38886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 2267238951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/37717 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z + 23. Let g be f(7). Let i be (-1 + 2 - 1)\/g. Suppose 2*k - 27 - 27 = i. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/(-12) + -2 + 4\/(-12). Solve -p*u = h - u + 6, 2*u = h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64364 + -0.3326.\nAnswer: -0.97624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121904*h**5*z - 8*h**4*z - 9*h*z + 5*h - 414*z - 2 wrt h?\nAnswer: -2438080*h**3*z - 96*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*h**4 + 57*c**3*h + c*h**4 + 31*h**4 + 3*h**2 wrt h.\nAnswer: 24*c**3*h + 24*c*h + 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237\/2 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5716 = 6*a - 2*a. Let n be 9586*(51\/(-60) + 1). Let c = n + a. Calculate the common denominator of c and 71\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899, 1799, 2713, 3641?\nAnswer: 4583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270191 - 270191 - 1664*d to s + j*d and give j.\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + (-3350)\/(-175))\/(8\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {e: 1, c: 1, l: 5, v: 1, o: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s - 2*s**4 - 2*s + 2*s**4 - 3*s**4 - s**4 + (-2*s**4 + 2 - 2)*(-2 + 2 - 2) + 0*s + 0*s + 3*s**4.\nAnswer: 3*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*o + 646*o - 2496 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1747*s**7\/35 - 2625*s**4\/8 - 324*s**2 - s + 3. Find the second derivative of w(k) wrt k.\nAnswer: -125784*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 11*v**6\/18 - 86*v**5\/15 + 79*v**4\/4 - 262*v**3\/9 + 38*v**2\/3 + 8*v - 2438. Determine u so that o(u) = 0.\nAnswer: -2\/11, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 60 = 4*i, 5*b = -4*i - 0*i + 60. Let l be (2 - -3)*18\/i. Find the third derivative of -y**2 + 0*y**2 - 12*y**6 + 3*y**l - 7*y**2 wrt y.\nAnswer: -1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.175 * 7\nAnswer: -1.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288694640 divided by -104.\nAnswer: 2775910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*((-3*d + 7*d - 3*d)*(1 - d - 1) + (3 - 3 - 2*d)*(-4 - 3*d + 4) + d**2 - 2 + 2 + (-38*d + 51*d + 27*d)*(d + 0*d + 0*d)).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6395 - -11382. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {f: 3, k: 2, d: 4, z: 2, x: 1, n: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + i = 11, 3*h + 2*i - 3*i - 3 = 0. Let n = -2 + h. Solve -13*s + 17*s - 4 = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 + 1121. What is the remainder when i is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 5, i: 5, p: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**10\/y)\/y)\/(y\/(y\/y**1))*(y**20\/y)\/y*y**(-4) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w - 1. Let t be k(-4). Suppose -l - 1 = 1. Let c = l + t. Put 2, -1, c in increasing order.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092763669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/8 (b) 22\/1359 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*f + 3*i + 3, 0 = f - 2*i - 4. Let d = 265\/4 - 67. Which is the nearest to f? (a) d (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48067.31 litres to millilitres.\nAnswer: 48067310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8267, 16534, 24801, 33068?\n\"Answer: 8267*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51327.89s to milliseconds.\nAnswer: 51327890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 10 = 7*n, v - 1345 = -3*n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-6))\/((-3)\/(-10)). Let d = 19 + -2. Suppose 8 = -4*j - 5*p, 5*p - 7 = -5*j - d. Sort j, 1, f in increasing order.\nAnswer: j, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = p - 8, 0 = -p - 3*j + 2. Suppose 2*f + 3*r = -24, -p*f + r - 5*r - 46 = 0. List the prime factors of 19\/((f - -3) + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/6)\/((-357)\/153))\/(8\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/253, 326 in decreasing order.\nAnswer: 326, 1\/253, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 9. Let u be c(-4). Do 1\/4 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153990*v + 153970*v + 60 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23844 (base 11) to base 16.\nAnswer: -85f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2233 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -300, -535, -774, -1017, -1264, -1515, -1770?\n\"Answer: -2*n**2 - 229*n - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by 227130?\nAnswer: 11\/15142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.1679 minus 0.50764283?\nAnswer: 280.66025717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4. Let l = u - -6. Let o = 4 + l. Solve o*z - 10 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/29)\/i**(-1\/3))\/(i**(-1\/8)\/(i*((i\/((i\/((i**(-1)\/i)\/i))\/i))\/i)\/i*i)))\/((i**1)**(-1\/5)*(i**0)**(-20\/9)) assuming i is positive.\nAnswer: i**(-4429\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22604.69um in meters?\nAnswer: 0.02260469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 18, -14, -78, -180, -326, -522?\n\"Answer: -y**3 - 7*y**2 + 22*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 12 = 2*k, -5*w + 9*w = 4 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2601419?\nAnswer: -2601416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/161292 and -91\/72.\nAnswer: 967752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -67852*d. Let h(i) = -2338*i**2. What is h(t(b))?\nAnswer: -10763903947552*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1286 + -746. Which is greater: 541 or p?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45413756 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + q + 6334, -2*o + 0*o + 4*q = 2538. Let z = o + 2510. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -188*r**2 - 46*r + 15637. Give l(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164604121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12164 divided by 5725\nAnswer: -12164\/5725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(96\/66))\/((-255)\/(-153)))\/((-12)\/(-20))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - 182*u**2 + 98*u + 153. Give v(36).\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4288 = 4*j - 4*s, 0 = 3*j - 6*j - 2*s + 3211. List the prime factors of j.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195360.\nAnswer: 2, 5, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37693476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:15 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244 is divided by 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3)*11\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, n: 2, o: 1, b: 6, y: 3}. Give prob of picking 1 o, 1 b, and 1 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2 (base 15) to base 10.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -124. What is the smallest common multiple of 18 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.84 and 0.3.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 2*t)*(3*t**3 + 0*t**3 - t**3) - 2*t**4 + 0*t**4 + 4*t**4 + 4*t**4 - t**4 - t**4.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 15. Let c(i) = -3*i + 44. Let s(l) = 3*c(l) + 8*h(l). Let t be s(7). Solve m - 2*x = 0, -t*x + 0*x = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106\/3 - 35. Let i = -1859\/3 - -565. Let t = -54 - i. Which is the second smallest value? (a) t (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59352 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: Factor -3*m**2\/7 + 201060*m\/7.\nAnswer: -3*m*(m - 67020)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*1\/(168\/(-108)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 4*x - 30. What is the highest common factor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*(0 + -3). Suppose -o*y + g - 12 = 0, 5*y = -2*g - 33 + 5. Find the common denominator of -43\/16 and (1 + -2)*y\/(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 - n. Let g be f(-1). Let v be (7\/g)\/(2\/14). Let a(c) = -7*c + v*c - c. Let x(q) = -2*q**2. What is x(a(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3\/2*o**2 + 0*o + 2. Let x(y) = -y. What is x(a(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i. Let j(r) = -3903065*r. What is j(b(p))?\nAnswer: -23418390*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -808 - -5672\/7. Is y greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 21*z = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034931 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 10:14 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let y be h(-6). Let q be y\/3 + (-1)\/3. Let s be (-16)\/(0 + q) - -1. Is -6 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 4. Let a be v(3). Let q(s) = 4*s**2 + 4*s**2 - 6*s**a. Let b(c) = -2*c. Determine q(b(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 85*m + 150 = 0. Solve -5*t + 3*y - 75 = -35, 0 = -2*t - m*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*2\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000100001110111001 (base 2) to base 15.\nAnswer: 10855cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 35*j**3\/3 + 19*j**2\/2 + 36*j + 33. Let t(u) be the first derivative of q(u). What is the derivative of t(d) wrt d?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493?\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2, -4, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1769*g*n + 25912572*g - 17574*n + 4 wrt n?\nAnswer: -1769*g - 17574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7662)\/(-4) - -1)\/((-3)\/2). Let r = -2063\/2 - l. Let u = 247 - r. Is u greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447606425?\nAnswer: 3, 5, 31, 1912949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13268?\nAnswer: 2, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-4)\/l))*l)\/(l\/l**(4\/7)))\/(l**(1\/5)*(l**(2\/5)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*m - 1. Let j = m - -28. Let l(i) = -i**2 + 3*i + 3. Calculate l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116221, -232561, -349021, -465601, -582301, -699121, -816061?\nAnswer: -933121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.037 - -0.537. Let z = -1 + 2. Let i = z + -2. What is the closest to -1 in i, w, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.3. What is the closest to 36 in -3\/4, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + -3 + (156 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuzu when four letters picked without replacement from {w: 2, v: 5, n: 1, u: 8, z: 2}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*b)*(-4*b**2 + 4*b**2 - 2*b**2) - 2*b**3 - 2*b**3 + 3*b**3 + 3013*b**2 + b**3 - 5794*b**2 + 3408*b**2.\nAnswer: -4*b**3 + 627*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3\/7 + 3*l**2\/14 + 6*l\/7 + 13. Factor i(h).\nAnswer: -3*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = x, x - 3*x = 3*o - 6. Let t be 145 + (x - 2) + -3. Calculate the highest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29202.5281 - -701.\nAnswer: -28501.5281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11769809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 125. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/sqrt(144) + -5.\nAnswer: -5 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 225*m + 66 = -3*k - 223*m, 4*k + 9 = m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 2887 - 133. Suppose -p + 1 = 2*l + 15, p - 2*l = 2. Let q be (p\/b)\/(2\/(-4)). Sort 5, 3, q in ascending order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x + 0*x**2 - 2*x**2 = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 - w**2)*(-2*w + 0*w + 4*w) - 3*w**3 + 2*w**3 - 2*w**3 + (0*w**2 + w**2 - 3*w**2)*(-w + 3*w + 0*w) + (3*w - 8 + 8)*(2*w**2 - 2 + 2).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -54\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5054 is divided by 2517?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 155*t**2 - 4*t - 7. Let w be v(3). What is the units digit of 4\/30 - w\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(4 - (-7)\/(-2)). Let x = 6 - 6. Which is the smallest value? (a) 1\/4 (b) w (c) x (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/367 + 2565\/734. What is the common denominator of y and 37\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6)\/((-30)\/154 + 4\/14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -13 - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-14) + 4 + (-10)\/56. Suppose 2 = -5*m - 3*p, 3*p = 4*m - 90 + 97. What is the third biggest value in -0.48, -3, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 1)*-5)**2.\nAnswer: 550*sqrt(5) + 15150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/5 + 55038*y**3\/5 + 110066*y**2\/5 - 55038*y\/5 - 110068\/5 = 0.\nAnswer: -27517, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2736) - -1*(0 + sqrt(2736)))**2 + (-3*sqrt(171) + 1)**2.\nAnswer: -18*sqrt(19) + 12480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96771 divided by -3.\nAnswer: 32257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003551248 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 38 = 3*q, -2*q = -5*n + 144 + 85. Let r = 75 - n. Let l(h) = r*h - 9*h - 4*h + 27*h. Let b(x) = -2*x. What is l(b(a))?\nAnswer: -84*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 + -3802.\nAnswer: -3825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -410, 4, -55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700.2289852 - -6.325?\nAnswer: -1693.9039852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2*o**4 - l**2*o**2 + 20*l**2 - 4*l*o**6 + 9*l*o**2 + 663*l*o + 3388*o**3 wrt o?\nAnswer: 48*l**2*o - 480*l*o**3 + 20328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 16 = p - 7, 4*g - 10 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-105.8.\nAnswer: -21.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68416 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 673190, 2692756, 6058700, 10771022, 16829722, 24234800, 32986256?\nAnswer: 43084090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**2 + 0*r**3 - 1\/15*r**5 + 0 + 1\/24*r**4 + 0*r. Let u(g) = 3*g + 3*g**2 - 3*g - g. Determine -7*u(l) - 5*v(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/7 (b) 2 (c) -13 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -4\/3 (c) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3 (c) -1\/36 (d) 0 (e) 16\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwg when three letters picked without replacement from wwqwwwzwwxtgwqtwwq.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 1981*j**4\/4 - 2284*j**3\/3 + 894. What is the third derivative of c(a) wrt a?\nAnswer: 11886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14246813 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 - 31 = 0. Suppose 2*t = 5*t - l. Let j(v) = -5*v - 1. Let c be j(-1). Do c and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -1\/7 (c) -8\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(608)*1)\/((sqrt(2) + sqrt(200) + sqrt(200)*1)*-3).\nAnswer: -16*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23513 or 71\/9?\nAnswer: 71\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/((320\/24)\/40). Put 5, c, 19 in ascending order.\nAnswer: c, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128291 is divided by 17434.\nAnswer: 6253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:03 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1*-4)\/sqrt(12) - (-1 + sqrt(1053))*3) + 5.\nAnswer: -23*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6118.5 and -0.4.\nAnswer: -6118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 - 230. Let m = -25 + o. Put -3, 2, m in descending order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8 - 5\/(-4). Suppose -23*c + 21*c + g = 0. Let z be (-1 - 0) + (-26)\/(-20). Is c at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/105*5\/(-20)*(-96)\/(-16)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -1130*k + 569*k + 577*k - 212, 37 = 2*k - 3*i for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144 and -1091.\nAnswer: -157104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 337*l**2 + 1083*l + 313. Give n(64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44100 and 1719900.\nAnswer: 1719900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m + 50*m = 736593. Calculate the lowest common multiple of m and 170.\nAnswer: 72930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56177550 and 264810?\nAnswer: 393242850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)\/(u*u**(-2\/13)))**45\/(u**(-6)\/(u*(u*u**(-6)*u*u)\/u)*(u**(-1\/2))**11) assuming u is positive.\nAnswer: u**(-1939\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 52656?\nAnswer: 52656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23903, 23906, 23909, 23912, 23915, 23918?\nAnswer: 23921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, -6, -41, 5 in decreasing order.\nAnswer: 5, 2, 0, -4, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3 + 10502466*i**2 + 9191689975875*i - 220606608882888 = 0.\nAnswer: -1750423, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 626.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/(2\/4). Suppose -u = -1 - z. Solve 2*p - 6 = 4*p + u*d, -5*d = 2*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1329, -1328, -1327?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97*z**3 + z - 86 wrt z?\nAnswer: -291*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046579 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*t - 5*k, -3*k + 27 = -146*t + 137*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10 = 0, 2*l + 1 = -3*l + 3*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) - 15\/54. Let d = -126 - -129. Sort h, -4, d in descending order.\nAnswer: d, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/(17192\/921*2\/28).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 303562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*h - 0*h + 24, -5*h = y + 23. Determine l so that 2 + 3*l**2 + 9*l**3 - 4*l**3 + 9*l**y + 9*l = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0235568677 + 0.023562. What is g rounded to seven dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2191*z + 527941. What is o(-241)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2889716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 21. Let b be l(5). What is the smallest value in -0.1, -3, b, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 2 j when four letters picked without replacement from {s: 3, t: 10, j: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*x - 2 = 2, 3*c - 3*x + 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178825 is divided by 22334?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -4 + (-14 + 34 - 14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 5. Let n(t) = -20*t - 12. Let j(b) = -17*i(b) + 6*n(b). Calculate j(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54297)\/(-30) - 117\/(-1170). Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 7*a - 82. What is r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14357124, 28714256, 43071388?\nAnswer: 57428520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6, -3*b - m + 1183 = -2*m. What is the highest common divisor of b and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*d - 100, -3*u - u = 4*d - 104. Suppose 5*h = 5*a - u, -3 - 5 = -3*a - 2*h. Suppose 3*l - 425 = -l + q, 4*l = -a*q + 400. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-5 - -11) + -1) - 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6618015 divided by -2206005?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h**3 - 4*h**2 + 2*h + 2. Let b be z(2). Suppose -3*k - b = 2*k. Let q = 12652\/5005 + 8\/455. Calculate the common denominator of q and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (768\/(-100))\/2)*-10. Let v = f + -43\/30. Factor 1\/3*r - 1\/3*r**3 - v*r**4 + 1\/6*r**2 + 0.\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 11*z + 43. Calculate the least common multiple of 18 and x(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156248.\nAnswer: 2, 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34163327753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = -v + 6, 0 = -3*g + 3*v + 27. Suppose -3*z - 5*j + 4 = -27, 5*z + 5*j = 55. Let s be z - (-74)\/(-6) - 1\/(-3). Solve s = -3*l + 17 - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -114, -86, -68, -72, -110, -194?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*45\/(-1080)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 1 z when three letters picked without replacement from jjjzzzzzizijzjzjjz?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, z: 13}. Give prob of picking 4 z.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 3*l**2 + 19*l + 8*l - 18*l - 5*l.\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 13136*a**3 - 9*a + 8*a + 4*a**2 - 13131*a**3 as h*a**2 + v*a + f + r*a**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -7*o**5\/30 - 11*o**4\/24 - 7*o**3\/3 - o**2. Let g = 251 + -255. Let u(k) = -5*k**2 - 4*k - 5. Determine g*l(c) + 11*u(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.3. Let f = y - 0.3. Let r = 0.34 - 0.34. Which is the second smallest value? (a) f (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -157*d**6 + 4*d**5 - 4*d**4 + 8*d**2 + 4*d - 21. Let l(u) = -u**5 + u**4 - u + 1. Let b(k) = -j(k) - 4*l(k). Find the third derivative of b(z) wrt z.\nAnswer: 18840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*j = -6, 2 = -4*a - 3*j + 1. Let c = 688.6 - 689. What is the closest to -1\/4 in c, -3\/7, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.89. Let r = -0.1172 - o. What is r rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 879?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -186*q*w + w + 25 wrt q?\nAnswer: -186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 20*h + 5. Let a be ((-15)\/(-60))\/(1\/(-20)). Let q be w(a). Solve -5*k + 0*l - q = -l, 5*k - 15 = -3*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 1. Let p = -2.56 + 102.56. Let i = p - 99.5. What is the second smallest value in 4, -0.1, i, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3022 - 11692 = 201*p + 2452 + 1125 for p.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 7*p + 2*p**3 - 18*p**2 + 10*p + 6 - 26*p**2 + 5 to u*p + t*p**3 + r*p**2 + h and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnfnf?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29582 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let l be s*-3*(-2)\/(-9). Factor l*o**3 - 16\/3*o**2 + 14\/3*o - 4\/3.\nAnswer: 2*(o - 1)**2*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31845316 and 956.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 144. Let h be i(-27). Sort h, 5, -27 in ascending order.\nAnswer: -27, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 - 3*t + 4. Let p = -28 + 50. Let k = p - 12. Calculate the remainder when k is divided by i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 392 = 34*q. Factor t + 13*t**2 + 4 + 2 - q*t**2.\nAnswer: -(t - 3)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 9. Let s(p) = 13*p - 26. Let x(t) = 11*n(t) - 4*s(t). Let f(w) = -7*w + 4. Determine -6*f(i) + 5*x(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2 - 13. Let f(g) = g**2 - g - 1. Let y(w) = 21*w**2 - 18*w - 18. Let m(l) = -18*f(l) + y(l). Calculate m(o(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r + 6. Let g be (-24)\/(-36) + (-20)\/(-6). Let b be f(g). Let q be (9 + b)\/(0 + -1). Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (293*q - 293*q + 31*q**2)*(2 + 2 - 6) in the form x*q + z + s*q**2 and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v**3 - 15*v**2 + 17*v + 1. Let q(i) = 7*i**3 - 5*i**2 + 6*i. Let j(c) = 17*q(c) - 6*x(c). Suppose -13 = 2*l + 1. Let w = 12 + l. Calculate j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 10539.\nAnswer: 2\/10539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.32001 + 2.098. What is c rounded to 3 dps?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 - -1.6. Let z be (-24)\/105 + 2\/(-10). Which is the biggest value? (a) 0.8 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, g: 5, l: 1, t: 1}. What is prob of sequence lt?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**2 + z**2 - 8 - 5*z**5 + 166223*z - 166209*z + 293*z**5 wrt z?\nAnswer: 5760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107560 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 16. Let l be g(8). Suppose -q = 4*y - 2, 2*q + 2*q - l = 3*y. Suppose q*z + 3*z = 0. Round z to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/7, 2, -4388860?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 22*3\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -38501.\nAnswer: -90\/38501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 - a - 1. Let q(f) = 3*f**2 - 15 + f**3 + 29 - 11 + f. Let j(n) = -q(n) - 2*r(n). Suppose 8*v - 4*v - 4 = 0. Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-36)\/16. Solve -o*a = q, 4*q + 0 + 24 = 4*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - -1) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2) + 0)\/(1\/2). Let g = -0.2 + 0.1. Sort g, s, 2\/5 in increasing order.\nAnswer: s, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 5*w**7\/42 + w**6\/3 - 3*w**5 + 35*w**4\/6 - 25*w**3\/6 - 175*w. Find l, given that z(l) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/443 + 476\/1329. Which is greater: 2766 or d?\nAnswer: 2766","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 56*f. Let z(x) be the second derivative of 0 + 35*x + 0*x**2 + 1\/3*x**3. Calculate i(z(h)).\nAnswer: 112*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 11697521.\nAnswer: -12\/11697521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 14, -2*d - 3*d - 2*n - 30 = -6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1698*h + 75141 = 18526 - 75829 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.5, 0, -11\/8, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - -1)*21\/(-14). Let h be (-15 - -8)*k\/(-7). Suppose 0 = -2*l - 2*j - 32, -4*l + j = -j + 76. Is l at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -13. Suppose l*v - v - 23 = -5*t, 5*v - 35 = -5*t. What is the first derivative of 2*y**2 - 1 + 0*y**2 + 7 + 3*y**v wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1824\/(-36))\/(1\/(-3)). Let l be (-36)\/27*(-12)\/1. Calculate the highest common divisor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 76. What is c(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/180*y**5 - 13\/18*y**3 - 7\/36*y**4 + y**2 + 42*y + 0. Solve z(p) = 0 for p.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -757577?\nAnswer: -757574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9) + (640\/(-14) + 2)\/((-30200)\/2114)\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 63*y**2 - 533*y + 31. What is q(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*m + 1000, 4*h - m + 302 = -714. Let o = h + 256. Solve -o = -0*n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**18))\/a*a)\/(a*a**(-3)) assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427658 is divided by 8899?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.5 (c) 55\/6 (d) -2\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 6*m**2 + 2*m - 3. Let u be w(-6). Suppose 6*z = 2*z + 100. Let r = u + z. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/111, -7, 0.1, 4\/7, -4, -0.045?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(147\/6) - 88\/14. Calculate the common denominator of 71\/2 and (-4 + 135\/r)*2\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2551*s + 861. Is k(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*r - 91 - 27 = 0, 2*t - 4*r - 80 = 0. What is the highest common factor of t and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 5*u - 9. What is the remainder when 19 is divided by h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 5008952*n - 1568100008644.\nAnswer: -4*(n + 626119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2 - 7. What are the prime factors of -2 + (w - (-2 - 13))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61644 is divided by 886?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.116 + 49. Let n = o + 0.016. Which is the nearest to -4? (a) n (b) -2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/4)\/(2*12\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-567)\/(-17199))\/((-12)\/(-28)). Let k = -0.3 - -2.3. Put 1\/7, k, n in decreasing order.\nAnswer: k, 1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(-14)\/(-42)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 7*a**2 + 692*a - 6 - 693*a)*(-3 + 9 + 2) to r*a + z*a**2 + u and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 - -335?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 - 17*k**2\/2 + 20*k - 4. Let v be 6\/(2\/10*-2). List the prime factors of l(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*m + 2*f - 41, 0 = -5*f + 35. Let a be ((-4)\/(-6))\/((-7)\/(-42)). Let h(l) = -l + 5. Let d be h(7). Sort a, d, -1, m.\nAnswer: d, -1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295382657.\nAnswer: 3, 431794219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49b + -407?\nAnswer: -8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 431, 11, 0.5 in descending order.\nAnswer: 431, 11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12763741 and 2059?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 36*a - 764 = 0, 65*k + a - 19 = 66*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - u + 4. Let r be s(-2). Let k be ((-1)\/(-8))\/(3\/r). Put 2, 1.5, k in descending order.\nAnswer: 2, 1.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 135*n**2 - 270*n.\nAnswer: -5*n*(n - 3)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 62 = -22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*n - 4*p, -n + 7 = p + 1. Calculate the remainder when 693 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -241?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91675 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7127437 (base 8) in base 11?\nAnswer: -1074395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 10*u + 7. Let f be 5\/(3 + -4)*1. Let d be m(f). Suppose -d = -3*i + i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22155 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 12*w - 26*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:32 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 458815 and 112?\nAnswer: 7341040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101166, 202327, 303486, 404643, 505798, 606951, 708102?\n\"Answer: -w**2 + 101164*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyz when three letters picked without replacement from yycycycgyofcocz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/905 and -41\/7.\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 14. Suppose -2*q + 38 = -2*h, 5*q + x*h - 59 = 45. Suppose -2*k + 6*k - 52 = 0. Solve -i - k = 3*j, -8 = -4*j + 4*i - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -96, -294, -636, -1158, -1896?\n\"Answer: -6*c**3 - 18*c**2 + 6*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26731\/2852 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)\/sqrt(9)*-4 + sqrt(66)\/(sqrt(384) + 2*sqrt(384)).\nAnswer: 193*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 4 = -8. What is the closest to 2 in f, 5\/2, 10?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 + (-3 + 3 - 2)*(4 + 2 - 5) - 5 + 61 + 4)*(13*r - 2*r + 3*r).\nAnswer: 840*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9830 = -2*d + 7*d + 2*h, 4*d + 2*h - 7862 = 0. Suppose 4*l - d = -4*l. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.3. Let k = -1190 + 1194. Sort -2, 1, k, o in increasing order.\nAnswer: -2, o, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109101021037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 0.4523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*g**2 + 53 - 28 + 57*g**2 + 70*g**2 + 45 wrt g.\nAnswer: 320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*q**2 - 6*q + 176*q**2 - 7*q**3 - q**3 - 27*q**3 - 354*q**2.\nAnswer: -35*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 6*x**3 + 11 + 0*x + 9*x**2 + x**3 + 4*x**3. Is j(8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - a91?\nAnswer: -a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-8)*1*2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1 + 0 - (sqrt(117) + (sqrt(117) + 1)*-5 + sqrt(117)))**2*-4.\nAnswer: -1972 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 47. Suppose 3*t + 11 = -5*j, 15 = -2*j + 2*t + k. Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 737 - 670. What is the remainder when 265 is divided by l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + 1613901?\nAnswer: 1614004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 361*s**2 + 507*s + 14. Let j(m) = -120*m**2 - 169*m - 4. Let r = 474 - 472. Let a(w) = r*u(w) + 7*j(w). What is the second derivative of a(d) wrt d?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10060 and -91\/1520.\nAnswer: 764560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 30. Let i(z) = -z - 5. Let d(f) = h(f) - 6*i(f). Suppose 0 = 2*m + 3*m - 15. Let x(k) = 3 - 2*k**2 - m. Determine x(d(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62080*u**2 + 1240*u + 22.\nAnswer: 124160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, -62569.4 in increasing order.\nAnswer: -62569.4, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 5, 358, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 8:02 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 4*f - 5. Let s be ((-5)\/4)\/((-170)\/272). Let a(y) = y**2 - y - 2. What is s*u(l) - 7*a(l)?\nAnswer: l**2 - l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -1. Let v(p) = -13*p - 7. Let t(a) = 25*a + 13. Let s(u) = 4*t(u) + 7*v(u). Let j(r) = -14*r - 5. What is c*s(k) + 5*j(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + 7*r - 2. List the prime factors of a(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59911, -119864, -179817, -239770, -299723, -359676?\nAnswer: -419629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 208.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 + 11 = 0. Suppose 14 = c - q*h, 0 = 4*c + 3*h - 90 - 35. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149? (a) 0 (b) 0.2 (c) -2273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*r**4 + 422 + 2*r + 45*r**4 - 423 as b*r**4 + g*r**2 + m*r**3 + x + j*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 2012 = 2*o - 1932, 2*f = 3*f + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.3. Let w be -5 + 95\/5 + -4. Suppose w*p = 5*p + 5. What is the closest to p in 0.5, 1\/8, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.6. Suppose 4*l = -3*k + 25, 2 = 5*l - 3*k - 9. Which is the closest to t? (a) -0.4 (b) 2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 44 - 16. Calculate the remainder when -6 - -3 - -32 - 3 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 24 = -135. Suppose 0*y - 4*y = -2*t + 18, 0 = -5*t - y + 67. Calculate the remainder when c is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49126081*k**2\/3 - 1794304*k + 49152.\nAnswer: (7009*k - 384)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/5 - 19*g**3\/3 + 7*g + 3. What is the second derivative of u(v) wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 63 + -37 - (53 - -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 165273*x - 2 + 229556*x + 3.\nAnswer: 394829*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*n = 191, -2*s + 3*n + 0*n + 91 = 0. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96271?\nAnswer: 7, 17, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.9 and 0.7220547?\nAnswer: 14.1779453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 4, m: 4, f: 2, n: 8, y: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 219 times -0.17\nAnswer: -37.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 393.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 13 - (-2 - 260\/(-35))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16311088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 + j + 1. Let g be r(-1). Let v be 9\/(-7) + g\/(-21). Let h be (v\/2)\/((-4)\/136). Solve -h + 5 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**8*x*x*x*x**6*(x**1)**(-1\/20) assuming x is positive.\nAnswer: x**(359\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, -19, -76 in ascending order.\nAnswer: -76, -19, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexeexexexxexexx. What is prob of picking 1 x and 1 e?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 37*d - 40. Solve -d*v = -2*c + 22, 8 = 3*c + 2*v - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15275\/3 - -106937\/21. Which is the nearest to 5? (a) -41 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 3*j + 5. Let r be n(-4). Calculate the remainder when 1\/r*2 - -1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 95*b - 99*b + 66, -4*x + 27 + 91 = 9*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 34 - 24 = 3*m, -12 = -3*m + 3*v. Solve -m*q + 4*x + 1 = 0, 0 = -4*q - 17*x + 16*x - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1008.9 - -1008. Which is the closest to t? (a) -2\/9 (b) 0 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus 2.1?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:53 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/((-1)\/(16 - 7)). Let s = z + 285. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57218?\nAnswer: 2, 7, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 19. Let b(r) = 17 + 7*r + 23 - 26 + r**y. What is the least common multiple of b(-6) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)\/k**(-20) assuming k is positive.\nAnswer: k**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Let n be 5\/((-8)\/h - -3). Let f = -0.1 - 0.3. What is the second smallest value in f, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2)\/sqrt(12) - (((2*sqrt(156) + sqrt(156))\/sqrt(12) - sqrt(13)) + sqrt(13)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -17. Suppose -n - n + 24 = -4*w, d = 5*n - 2*w. Suppose 0 = -n*l + l + 60. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v - 4. Let z be r(-2). Suppose 2*l = -l + z. Let d = -27 + 28. Solve h + d = -3*c + l*c, -3*c - 2*h - 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -4*z - 97\/2*z**2 + 18. What is the tens digit of g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 k, and 1 b when four letters picked without replacement from {u: 4, d: 6, c: 2, b: 2, k: 3}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 8, z: 5, g: 2, s: 2}. What is prob of picking 1 s, 1 g, and 1 d?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 34. Let r(f) be the first derivative of 2\/3*f**2 - 2\/15*f**5 + 2\/3*f - 1\/3*f**4 + 3 + y*f**3. Let r(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*x + 2. Let i be ((-36)\/(-12))\/(3\/(-9)). Let k be 6*9\/i - -2*3. Which is the biggest value? (a) -0.2 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 34?\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 3) + 2)\/(-1). Let s = 2.92 - -0.08. What is the nearest to y in -0.4, 0.5, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbbbbbbbbbbsbg. What is prob of sequence sb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476483, -952965, -1429447, -1905929?\nAnswer: -2382411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 426.1 and 3.\nAnswer: 429.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 44 - 14 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let t(j) = 48230*j - 1210. Let p(m) = 3445*m - 88. Let r(b) = -110*p(b) + 8*t(b). Give r(l(w)).\nAnswer: -6890*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 67.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkdfdhhdd. Give prob of picking 2 f, 1 h, and 1 d.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 5*u + 5. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5273655ml to litres.\nAnswer: 0.0005273655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**2\/2 - 1. Let h(t) = -3*t - 3. Let i = 3 + 0. Let w(k) = 6*k + 5. Let c(y) = i*w(y) + 5*h(y). What is c(s(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 634*w + 262. Let r be z(10). Suppose 3*l = 4*n - r, 2*n - 6604 = -2*n + 4*l. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/7 - 1093812*m**2\/7 + 299106172836*m\/7 = 0.\nAnswer: 0, 546906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18) + (-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6045436 and 50132?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:59 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*b**4*f**2 - 2*b**2*f**2 - 2*b - 53*f**2 wrt b.\nAnswer: 204*b**2*f**2 - 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -7 (c) 2147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -42*b**2 + 884*b - 5366. Give u(6).\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcbivb. Give prob of sequence jci.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (-6)\/(-2) + 6 - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3534, -3523, -3512, -3501, -3490, -3479?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5, -27, 3, -14 in decreasing order.\nAnswer: 3, -5, -14, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14154 (base 9) to base 15.\nAnswer: 2ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3053 - 3*i**3 - 3053.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*p = -j - 1, -4*p + 4 = 0. Let a(h) = -4*h**2 - 4. Let r(q) = -5*q**2 - q - 3. Let d(i) = j*r(i) + 2*a(i). Is d(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120503*d*w**3 + 1606*d*w**2 + 2*d*w + 2*w**6 - 38*w**4 + w**2 + 10*w + 6 wrt w.\nAnswer: 723018*d + 240*w**3 - 912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 6*d)*(1 - 2 + 0)*(-3 + 4 + 3).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278.53 - -277. Let o = 0.47 - w. What is the closest to 0.3 in -3, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 10*c + 13. Let f be y(9). Suppose -3 = -f*q + 1. Solve -l - 4 = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - o. Let d(v) = -3*v + 34. Suppose -8*w = -58 - 30. Let t be d(w). What is h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 39366*l**3 + l**2 - 2*l + 14919.\nAnswer: -24*l**2 - 236196*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -0.53. Let i = -0.1572 - n. What is i rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3368 = -3*y + q, 83*y - 82*y - 1130 = 4*q. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/42 < 7\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose p + 8 = m*p. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*d + 35, 0 = 3*l + 2*l - 3*d - 13. Let w = 7 - l. Let q(y) = 3*y**2 - 2*y**w - 7*y + 7*y. Let j(n) = -4*n**2. What is j(q(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 28.42.\nAnswer: -11.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*(-6)\/(-36)*-3. Is h at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 7. Suppose -3*v = 5*s - 3*s - 142, -234 = -c*v - 2*s. Let y = 53 - 30. What is the highest common factor of v and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/534427 and 53\/763?\nAnswer: 3740989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6866171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18172 and 2464.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -89572, -89512, -89452, -89392, -89332, -89272?\n\"Answer: 60*f - 89632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866667008?\nAnswer: 2, 1692709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*a + 28046, 0 = -3*g - 5*a + 17232 + 10817. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjjw when four letters picked without replacement from wtjyjuuyyuyjwyy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -114 - 6*f + 5*f + 108. Let a be w(-5). Is a at most 2\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.213, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 1\/3, 3, 4\/31, 2, 0.14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/20 - 5*m**4\/12 + m**3\/6 + 2*m**2 - 89*m - 2. What is d(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*b + 4947 = 28555 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.08 * -3.\nAnswer: -75.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:11 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/465 at least -74\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, -2\/3, 4\/3, 65?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 123\/4, 0, 0.1 in descending order.\nAnswer: 123\/4, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*x + 17 - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18638.\nAnswer: 2, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/1*(-39888)\/(-8310)*(-1)\/(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7815 and 30739.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47680 - 62990 = -2635*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2409 and 141108?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -s - 4*s. Let w = s - 55. Suppose -8*h - w = -15*h. Solve f - 6 - 1 = h*n, 3*n + 4*f + 17 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9185\/(-165) + 43)*(-1 + (-6)\/(-9)).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.03 - 16. Let t = -1790.02 + 1790. What is the smallest value in t, q, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*u**3 + 5 - 4*u - 72*u**3 + 35*u**3 as d + c*u**2 + f*u + t*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/15 and (3\/7)\/(48\/(-1428)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + 0.7. Let y = -2.6 + r. Let h = -5.7 + 0.7. Put y, h, -3 in decreasing order.\nAnswer: y, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 27 = -3*w. Let c = 12 + w. Factor -7*q - 2*q + c - 3 + 6 + 3*q**3.\nAnswer: 3*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6721 at most -6728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 896617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 20 + 70)*(4*p**3 - 4*p**3 + 3*p**3) + 2*p**3 + 2 - 2.\nAnswer: 158*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 7*i - 2 + 0*i.\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2 - y - 1. Let d(x) = 9*x**2. Let r(w) = 3*d(w) + 4*v(w). Let f(s) = -4*s**2 - 3*s - 3. Give -4*f(t) + 3*r(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - 5*i**5 + i**5)*(17 + 53 + 35) + (-i**3 - 2*i**3 + 7*i**3)*(-2*i**2 + 5*i**2 - 4*i**2).\nAnswer: -214*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/18*-3*0. Let f(s) be the third derivative of 0*s + 2*s**2 + 0*s**4 + b*s**5 + 0*s**3 + 0 + 1\/120*s**6. Let f(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2 + -1)*-6. Suppose -2*y - f*y - 255 = 0. What is the units digit of 2\/(-7) - y\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 - 9.1. Let z be (4\/(-25))\/(4\/10). Which is the third biggest value? (a) -1 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 3*c**2 - 49*c - 18. What is the remainder when 394 is divided by b(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgbg when four letters picked without replacement from kbjbjjgjggbjg?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -385, -511, -641?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 2 - 3*i - 159*i**2 + 5*i + 1.\nAnswer: -159*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 16*f**2 + 4. Let t be (-2)\/(-3)*120\/5. What is the least common multiple of r(t) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742.1 take away 0.035?\nAnswer: -742.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -942 in -4, -2\/3, 4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 1375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18660 and -7\/7464.\nAnswer: 37320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110, 111, 110, 107, 102?\n\"Answer: -u**2 + 4*u + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -3490, -8036, -14436, -22690?\nAnswer: -32798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344 divided by -8?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 554748?\nAnswer: 3883236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 42137544?\nAnswer: 42137544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -50, 7 in descending order.\nAnswer: 7, 4, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 3*y**2 - 23*y - 26. Let t be p(-11). Is t\/4 - (-39)\/(-78) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 848, 1490, 2278, 3212?\nAnswer: 4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 262 = 37 + 61 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**3 + 7*y**2 - 4. Let f(b) = 3*b**3 + 3*b**2 - 2. Let t(a) = 5*f(a) - 2*g(a). Let o = -2 - 0. Let m(z) = -z**2. Give o*m(j) - t(j).\nAnswer: -j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 49. Let r be a(-26). Let o = r + -281. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4.6, 0.08, 0 in ascending order.\nAnswer: -0.5, 0, 0.08, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 + 1.4. Let j = 1.7 + m. Let r = j + 0. Put -2, 2\/13, r in ascending order.\nAnswer: -2, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 - p**2)*(3 - 1 + 0)*(909*p**3 + 2638*p**2 - 2638*p**2).\nAnswer: -1818*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4808\/429 + 430\/39. Let o = 25 - 37. Let l be ((-2)\/3)\/(o\/(-18)). Which is the nearest to 1? (a) l (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/((-432)\/3))\/(3\/(-4)). Let l(g) be the third derivative of 0*g + 2*g**2 + b*g**4 + 0*g**3 + 1\/90*g**5 + 0. Factor l(t).\nAnswer: 2*t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 81*z + 3. Let a(o) = -2*o**2 + 242*o - 8. Suppose -9 = -12*f + 9*f. Let x(s) = f*a(s) + 8*w(s). Suppose x(v) = 0. What is v?\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953457544 to the power of 1\/2, to the nearest integer?\nAnswer: 30878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 5 - 14 - (6 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 70*n**4\/3 - 5186*n**3\/3 + 37894*n**2\/3 - 11850*n + 924 = 0.\nAnswer: 3\/35, 1, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604797 is divided by 802296?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15731854 to the power of 1\/2, to the nearest integer?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(104) + (sqrt(104) - (6*2*sqrt(104) - sqrt(104))))*-1)\/(-6*(sqrt(800) + 3*sqrt(800) - sqrt(8))*-3).\nAnswer: -sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/19 and 16\/36599.\nAnswer: 695381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.3 plus 0.36?\nAnswer: 680.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256098009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729834683 to the power of 1\/3, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24.62 + 0.116\nAnswer: -24.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:05 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(605) + 0 + sqrt(605) + 0))**2 + (sqrt(20)\/sqrt(4) + 4 + sqrt(15)\/sqrt(3) + -4 + sqrt(5))*-1)*3.\nAnswer: -9*sqrt(5) + 29040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-306)\/(-693))\/(55\/539). Let y = o + 1\/165. Suppose -1 - 13\/3*s - y*s**2 - s**3 = 0. Calculate s.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -s - 63 + 211, -3*n - 222 = -s. Suppose k - 49 = 69. Let h = n + k. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n + 19. Let g be m(7). Let k = g - -207. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 840*s - 1688*s + 848*s. Let p(w) be the third derivative of 7\/3*w**3 + 0 - 14*w**2 + 0*w - 1\/12*w**4. What is p(r(q))?\nAnswer: 4*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 138184 less than 333059?\nAnswer: 194875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1797 = -125*a - 672 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2513\/16 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 32 = 5*d, 4*d - 2*d + 3*w - 18 = 0. Let h be (1\/1)\/(2\/d). Find the second derivative of -4*c + 4*c + 3*c + c**h wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10233*c = 10084*c + 6705 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/19 in -6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6705 + -6705. Let q(m) be the second derivative of 0*m**2 - 19\/12*m**4 + k - 15*m - 11\/6*m**3. Find the second derivative of q(d) wrt d.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(4*c - 4*c + c) - 1 + 1 + 4*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18244 - 27589 - 99955 = -4372*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.479387l in millilitres?\nAnswer: 479.387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:51 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4660 - 1.\nAnswer: -4661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-44))\/(50\/((-24200)\/836))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4.8979 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -0*o - 3*o. Let p(i) = -i - 32. Let v be p(-14). Let u = v + o. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10634 and -101\/8668.\nAnswer: 46087756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 153. Let p(m) = 2*m. Determine n(p(j)).\nAnswer: -6*j - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41517079 is divided by 348.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10 - u + 38 - 17. Determine g(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 37*c - 4. Let o(m) = 704*m - 77. Let q(u) = -77*a(u) + 4*o(u). Let v(k) = 2*k**2. Give v(q(i)).\nAnswer: 2178*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 4, q: 2, s: 2}. What is prob of sequence xs?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, j: 4, u: 7, x: 5}. Give prob of sequence jxj.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - 9\/(-7). Suppose n = -j - 9. Let c be (-30)\/4*16\/n. Solve r + 3*r = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = k + 6*u - 4*u, 0 = 2*k + 5*u - 967. List the prime factors of k.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/600 and -73\/945?\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 7 + 41. Let x(z) = -z**2 - 4*z + 39. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9452, 37902, 85432, 152132, 238092?\n\"Answer: 15*z**3 + 9450*z**2 - 5*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0 - 7)*(-5*y**3 - 4*y**3 + 11*y**3) in the form i*y + u + s*y**2 + g*y**3 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 7*y**2 + 1\/60*y**6 + 0 - 1\/105*y**7 + 0*y + 0*y**4 + 0*y**3 + 0*y**5. Determine b so that n(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62776 (base 11) to base 6\nAnswer: 1543154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/(-270)*(-20)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15968 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206.7 - 203.7. What is the second biggest value in -4, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 15 = -49*b. Solve -3*c + i - 19 = 0, -3*c + b*i = -i + 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(99) + -1)*-3)**2 + 4.\nAnswer: 54*sqrt(11) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:07 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25237\/3069 - 8 - 10\/45. Do 1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62772 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.0992l?\nAnswer: 22099.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 - 36109190*n = 0. Calculate n.\nAnswer: 0, 7221838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - u - 4. Let h be -1*2*(3 + -5). Let b be d(h). Let k be (-16)\/b - (-38)\/9. Solve -t = -k*l - 1, -7*t = 4*l - 3*t - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*j + 573 = -5*j + 4843. Calculate the highest common divisor of j and 2674.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*b - 149. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 111378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*3*-2 + 2 - ((sqrt(70) + -1*sqrt(70))*5)\/(sqrt(20)\/(sqrt(8)\/sqrt(4) + sqrt(2))))**2.\nAnswer: -168*sqrt(7) + 12352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*l - 48 = -l, 4*l - 240 = -5*g. Suppose 3*c + 3*x - 72 = 0, 46 = 4*c + 5*x - g. Let f = c + 31. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/480 - 2483*m**5\/80 + 6165289*m**4\/32 - 15308412587*m**3\/24 + 17*m**2 - 69*m - 2. Determine t, given that w(t) = 0.\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w**4 - 5*w**3 - 21*w**2 + 481. Let l(o) = o**4 + o**3. Let v(n) = 5*l(n) + x(n). What is the derivative of v(k) wrt k?\nAnswer: -40*k**3 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13740 = -c - 4*n, 13749 = 4*c - n. Let m = c + -24028\/7. What is the common denominator of -1\/6 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8068\/(-13566342)*19*-1?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18214834109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55901056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpilliipiiilpilvlp. What is prob of picking 1 i and 1 p?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 2129, 3191, 4253, 5315, 6377?\nAnswer: 7439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112783 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let c(b) = -1 + 5*b + b**y + b**2 - 3*b**2. Calculate c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 36. What is the remainder when 2\/3 - (-134)\/o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**2 + 5*b + 1. Calculate the smallest common multiple of 3 and q(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22930.339 times 2?\nAnswer: 45860.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63841880747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3)\/2 + 5. Differentiate f*b - 1 + 4*b + 5 wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 53 - 41. Let z(k) = k**3 + 7*k**2 + k - 2. Let s be z(o). Calculate the highest common factor of 217 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.047 - -0.247. Which is the biggest value? (a) -5 (b) -4 (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62293\/840270 - -7\/4542. Are c and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 7*y + 5. Let x = 48 + -42. Let r be h(x). Let d = -24 - r. What is the nearest to -0.1 in d, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -43, -90, -155?\n\"Answer: -9*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - (33 + 7)\/(-8))\/((-3)\/(-405))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1900741\/26 + 73096. Let t = -129\/13 - k. Put t, 0.3, 18, 2\/9 in descending order.\nAnswer: 18, 0.3, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:48 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2 + -3 + 2. Suppose 0 = -p + 2*v + 148, -p + v - 148 = -2*p. Suppose -x - x + p = o. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10634 and 1820.\nAnswer: 744380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1100011101010 (base 2) to base 11\nAnswer: 4879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 2*q + 3*q)*(-3*q + 5*q - 3*q) + 26481 - 26481 + q**2 + 16*q - 11*q**2 + 0*q**2 - 3*q**2 to d*q**2 + a*q + v and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 32 + (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 513)*10\/5. Let c be 4 - (-2)\/((-512)\/v). Let s = -135\/448 - c. Sort s, 1\/7, 0.1 in descending order.\nAnswer: 1\/7, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 19*u**2 - 2*u + 44. Let s be w(19). Suppose 5*p + 336 = j, -1365 = 2*j - s*j - p. Calculate the greatest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -504 + -1343?\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -656797 divided by 21?\nAnswer: -656797\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7309 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: Suppose -1145 = -21*z - 14 + 444. What is the remainder when 459 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2912, 5836, 8796, 11810, 14896, 18072, 21356?\n\"Answer: 3*d**3 + 2903*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*-1)**2 - (sqrt(200)\/sqrt(5))\/sqrt(8).\nAnswer: -sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0*w - w - w)*(-3*w**3 - 2*w**3 + 6*w**3).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.4 - -54. Let r = 1.4 + t. Which is the closest to -0.1? (a) r (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4002 + -3921. Which is the closest to -1? (a) k (b) 0.2 (c) -2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7797.75287 to 1 dp.\nAnswer: -7797.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkg when three letters picked without replacement from vlgrksg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71062*j - 4*j**3 + 71078*j + 71073*j + 2*j**3 - 213213*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 73*g - 77. Calculate o(70).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.796 + -25.776. Let q = 1.12 - -0.08. Let g = q - 6.2. Is g < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -0.4 (b) -13 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874354 to the power of 1\/2, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*1\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1046657 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*v = -351*v + 3*d + 92, 3*v - 5*d = 138. Calculate the greatest common factor of 2645 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-48)\/(-264) - (-2968)\/11 is divided by 94.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859769458.\nAnswer: 2, 3, 7, 13, 19, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021017 to 4 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 2. Let u(g) = -g**2 + 18*g - 69. Let j be u(10). Let i(h) = 17*h + 7. Determine j*s(x) + 4*i(x).\nAnswer: 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 4, 1\/4, -2006, 1\/194 in ascending order.\nAnswer: -2006, 1\/194, 1\/4, 3\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 less than or equal to 4399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 124542189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61481 (base 16) to base 13.\nAnswer: 10c4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2052 - 1148 = 0. Let q be (-3)\/((-18)\/m)*30*77. What is q rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 6370 = -27*u - 99*u - 2*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 28*i**2 - 60*i + 36 = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15610603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 n, and 2 z when four letters picked without replacement from {z: 4, e: 1, w: 2, n: 7, y: 1, k: 5}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsu when four letters picked without replacement from jjjsjjsjejeuususjsj?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*z**3 - 13 + 5 + 25*z**3 + 14*z**5 + 5 - 3*z**3 + 49*z wrt z?\nAnswer: 280*z**3 + 348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/2*(21 - 23). Suppose 7*q = 4*q. Suppose 2*t + 3*t - 175 = q. Calculate the highest common divisor of r and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 7. Let z = 100\/3 - 166\/5. Which is the third smallest value? (a) -1\/7 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526\/1315*(-345)\/(-24)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399024 is divided by 114239.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 + -4?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**0\/p)\/p)**(4\/15)\/(p**(-2))**(1\/10))**(-2\/3))**(8\/9) assuming p is positive.\nAnswer: p**(16\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*k - 2 - 28, -4*i - 18 = -k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6a1 (base 12) to base 7\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1341*x = -1339*x - 28, -f = -4*x + 11. Solve -4*h + 17 = 5*l + f, 2*h - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 11*a + 16*a - 27*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -869934 (base 13) in base 5?\nAnswer: -1302204142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4 + 8*p**2 + p**3 - 3*p**3 - p**3. Let n(l) = -2*l**3 + 8*l**2 + 3. Let d(m) = 4*n(m) - 3*o(m). Find the third derivative of d(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153271686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94927 + 94927 - 5*b - 5*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 + 0 + 6\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26*w**3 - w. Let j be u(1). Let h(s) = -s**2 + 9*s - 10. Let p be h(7). Suppose -4 = z, -p*d + 5*z = d - j. Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k + 2. Let b(m) be the third derivative of -m**4\/24 + m**3\/6 - 27*m**2. Determine -3*b(i) + x(i).\nAnswer: -i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**1))*y**(-5))**(-4) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -148, -198?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*2*(-16)\/24. Let l = z + 9. Let y be (1 + -2)\/((-3)\/(-5)). Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 29. Which is the second smallest value? (a) 1\/4 (b) v (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -544, -1988, -4800, -9436, -16352, -26004?\n\"Answer: -76*n**3 + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/19 - (-8)\/(-18). Put i, 5\/3, 5 in decreasing order.\nAnswer: 5, 5\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 37*y - 2*o + 16 = 0, 2*y - 2*o - 2 = 0. Solve 0 = y*q - 735 + 729 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*m + 16*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 20. Determine x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*m = 4, -3*m = -c + 2*c. Let f be -3*(140\/c)\/1. Let u = f - -63. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7 - 2. Let x(j) = j**2 - 3*j + 4. Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (211 + (-1 - 1)). Suppose -5*y - 5*n - 1645 = 0, 7*y + 1313 = 3*y - n. Let f = u - y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 - 4*w + 4*w + (-1 + 0 + 0)*(2*w**2 + 5 - 5)*(-1 + 1 + w**2).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*(-8200)\/(-14801))\/((-10)\/(-95))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75973*q - 75975*q - 309 = -151945*q for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4053 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.24247702212 + -0.3\nAnswer: -0.05752297788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:51 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-5 - -8 - (0 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 267*u - 44 = 264*u, 0 = 6*j - 3*u - 33 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 431595 and 287730.\nAnswer: 863190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 570253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-22 - 20)*(-104)\/(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(20*k - 13*k + 22*k).\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:56 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 806 * -0.04\nAnswer: -32.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 48 = -4*i. Let w be (-21)\/i - 3\/12. Let x be (-68)\/72 - 1\/w. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -3) + 3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 - 21*b**2 - 138*b**2 - 2 - 88*b**2 - 1.\nAnswer: -278*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.1 - 162.1. Let s = -141.01084 - r. What is s rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100211121 (base 3) to base 14\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15128*0.2.\nAnswer: -3025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -504 divided by 4\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 != -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 18, u: 1}. What is prob of picking 2 v?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4788 + -4683. What is the smallest value in x, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 36172*p**2 - 1 - 20 + 22.\nAnswer: -36172*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54165*d - 18029*d - 18041*d - 18080*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13102 (base 7) to base 3\nAnswer: 11202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + o**3 + 2*o**4 + 0*o + 6*o + 2*o**2 + 4 to a*o**2 + k*o + m*o**4 + s + c*o**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/470)\/((-30)\/4230).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42751\/10360 + 2\/1295. Let o = 38 + -71. Calculate the common denominator of t and o\/(-54) - (-1)\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 3*i + 2*i**2)*((-i + 5*i - 2*i)*(-4 - 4 + 2) + (2*i + 6*i - 3*i)*(45 - 96 - 1)) to r*i**3 + c*i**2 + m*i + v and give r.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 449 (base 10) to base 8\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 4. Let k be (0 - -1) + 8\/(-2). Let b be q(k). Let i = -1 + 2. What is the greatest common divisor of b and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10083*r + 40489. Calculate g(-4).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3375.75977.\nAnswer: 1012.727931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w + n - 18, -5*w + 33 = -4*n. Suppose -14 = -q - 6. Let v = q - w. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0.3, -48, -1, -19, 1\/6?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/514674 and 29\/428895?\nAnswer: 2573370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23e + aa807?\nAnswer: aaa46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -381 - -383. Factor -84*k**m + 159*k + 3*k**3 - 49 + 61 - 90.\nAnswer: 3*(k - 26)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -484063*w + 9197201. What is b(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-33) + (-168)\/77)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 37*l**2 - 187*l - 760. What is the remainder when j(-4) is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 4*y + 0*y + (-10 - 15 + 19)*(y + 5 - 5).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/161000174 or 0?\nAnswer: 5\/161000174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 118 - 8*n**2 + 130 - 241.\nAnswer: -8*n**2 - 4*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((1 - -4) + 0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 933, 1 in ascending order.\nAnswer: 1, 156, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 z when three letters picked without replacement from xtjxttxhxhzhjyy.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let j(v) be the second derivative of -v**3\/6 + 3*v**2\/2 + 3*v. Let w be j(0). Let n(f) = 21*f + w*f**2 - 21*f + 2*f**2. What is k(n(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:10 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 3 - h - 5*h**2 + 6*h**2. Suppose 10 = 6*u - u. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 54*a**2 + 99*a + 256. Determine t(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/3*x**2 + 0*x - 1\/3*x**3 = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 + 240. Let m = j + 108.99999873. Round m to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-5 + 0)**2 - (sqrt(4455) - sqrt(4455)*2)\/sqrt(11).\nAnswer: 9*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 2. Let q be m(-4). Let c(n) = 0*n**2 - n**2 - 2*n + q*n. Let t(j) = 4*j. Let b(g) = -2*g. Let w(x) = 4*b(x) + 3*t(x). Give c(w(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15438 divided by -93.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 62*s - 33. Give f(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13161774 (base 8) to base 14.\nAnswer: -5681d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g + 42. Let a(q) = -3*q**2 - 16*q + 4. Let n be a(-6). Let s be k(n). Let b be -4 - -1564*(4 + s). What is b rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -7*g**5\/170 + 23*g**4\/204 - 2*g**3\/51 - 596*g**2. Find c such that f(c) = 0.\nAnswer: 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2 - 5*k + 9*k + 0*k - k + 0*k + (3 - 2 + 0)*(2*k + 0 + 0) + 1 - k - 1 + 4*k - 3*k + 0*k + 2*k + 3*k - 3*k + (-4*k + 3*k + 3*k)*(49 - 22 + 10).\nAnswer: 80*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -y + 10. Let d be (-5)\/(-20) + 11\/y. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*m - 2223, -5*t + 11126 = 25*m - 29*m. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 2*n = 4, 0 = -3*y - 5*n + 3. Let c be y\/2 - 657\/(-6). Suppose -i = i - c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:12 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*u**3 + 2*u + 18*u**3 - u**4 + 9*u**3 - 6*u**3 + 2*u**3 as m*u + d*u**4 + y + c*u**2 + z*u**3 and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267727993.\nAnswer: 7, 137, 1321927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/19, -29\/3, 0.3, 2, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-193)\/(11001\/(-342))*(-4)\/222)\/((-2)\/2).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjdjjjdjdjjddddddj. What is prob of picking 3 d and 1 j?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -22*o + 7. Let i(r) = -19*r + 6. Give -3*i(g) + 2*q(g).\nAnswer: 13*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 - 5*q**2)*(2 + 2*q - 2)*(4147*q**2 + 4152*q**2 - 8298*q**2 + 4*q) + (3 - 1 + 0)*(0*q**5 + 3*q**5 - 2*q**5).\nAnswer: -4*q**5 - 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3\/5 - 3528*x**2\/5 + 7136*x = 0. What is x?\nAnswer: -892, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1387 + 148 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3199 - 3196. Solve -b*f - 23 + 32 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 111*y + 24*y = 16*y + 4128 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*6\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 34829.\nAnswer: -104487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(2\/15))\/f*(f*f**(-1\/11))\/f)**(-39))**(4\/21) assuming f is positive.\nAnswer: f**(-8944\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 75*i**2 - 2520*i + 21168 = 0?\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2 + 129*h - 16. Let n(j) = -2*j**2 - 43*j + 13. Let o(v) = -10*n(v) - 3*p(v). Factor o(u).\nAnswer: -(u - 41)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7615 = 1018*o + 37747 + 15718 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 + 8*u**2 + 5*u - 15. What is the thousands digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827900 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 2*d + 0*d)*(-24*d - 23 + 23)*(-4 - 2 + 4) to r + y*d + u*d**2 and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -13*q - 171 - 66 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/86526 and 83\/70794.\nAnswer: 778734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**4 - 7*a**3 - 7*a + 6. Let v(d) = d**4 + d**3 + d - 1. Suppose -3*c + 5*c = -28. Let l(u) = c*v(u) - 2*k(u). Differentiate l(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 14*f**2 - 5*f - 45. Let j = 27 + -12. Suppose -j*l = -58 - 122. What is the tens digit of q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1218, 4, 14 in decreasing order.\nAnswer: 14, 6, 4, 3, -1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -74 (c) 3 (d) -0.4 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.1 (b) 1\/7 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 1, -0.1, -299, -0.5, -10?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22594326 is divided by 7531428.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686 = 4151*l - 4200*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g - 21. Let c be a(9). Let q(u) = u**2 - 6*u + 12. Let h be q(6). What is the greatest common divisor of h and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - -2*(-2)\/4. Suppose -4 = 3*t - s*r + 19, 3*r + 33 = -3*t. Let a = 4 + -6. Let m(v) = -5*v - 13. Let d(g) = g + 3. What is a*m(h) + t*d(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -17, -2, 89 in ascending order.\nAnswer: -17, -4, -2, -1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -0.06. Is d at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-14)*(-910)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose -3*q - f*s = -1, 0 = q - 3*s - 1 - 3. Let h(g) = 33*g**2 + 1. Is h(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -18. What is the smallest value in 1\/4, 2, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-4 + sqrt(2) + sqrt(16)\/sqrt(32))*-4 + -2)**2.\nAnswer: -488*sqrt(2) + 29772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h = -11*h - 100. Let f(j) = j**3 - j - 2. Let a be f(2). Solve 2*u + a*p = 2, 0 = h*p + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123.92 + -126. Let c = -5.08 + 5. Let z = c - g. What is the biggest value in 0.3, 4\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -697 or 40\/79?\nAnswer: 40\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 + -129.87. Let t = j + 0.53. What is t rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 16 - 88. Let p = g - -25. What is the remainder when 3 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/178170 and 4\/15.\nAnswer: 178170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 942207959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 815.4 - 815. What is the closest to 2\/3 in 15, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331 - -334. Solve -17 = 3*z - 5*k - 5, 3 = -y*z + 2*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523 times -2?\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -11*y - 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121675.3 and -44.\nAnswer: 5353713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 1708001 - 1708951 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*r + 14*r - 12*r)*(-7 + 14 - 3*r + 5*r).\nAnswer: -44*r**2 - 154*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 x when three letters picked without replacement from {v: 1, p: 2, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/21*(-2)\/(-32).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 8. Calculate the remainder when ((-63)\/(-28))\/((-3)\/f) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.309 - 0.091. Let q = d + 14.4. Which is the closest to -0.1? (a) 3\/5 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4153 + 0)\/(5*8\/(-40)). Suppose -7*f + 5*c = -4*f - n, -c + 6875 = 5*f. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165*h*i + 1286460*h + 2*i**4 - 12335*i**2 wrt i.\nAnswer: -165*h + 8*i**3 - 24670*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29194304\/55 - 530846. Let k = 206\/5 + f. Calculate the common denominator of k and 2\/6*(-62)\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-30))\/(-1))\/(3\/(-2))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -13\/4 (b) 0.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -7. Let h = -16 + r. What is the biggest value in 0.2, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 28 = z. What is the derivative of -73*a**4 + 64*a**4 - z - 10 wrt a?\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5\/3 - 35*x**3\/3 - 10*x**2 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1691 + 0?\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/9 - 38\/9*n**3 - 14\/9*n**4 - 2\/9*n**5 - 32\/9*n - 50\/9*n**2 = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199704868*f - 199704760*f - 8208 = 0 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 54. Suppose -4*d + 5*f = -m*f - 68, -f = 0. Suppose -3*a = -263 - 298. Calculate the greatest common factor of a and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 294 - 123. Suppose 0 = 4*g - a + 99. Let c(h) = -3*h + 4. What are the prime factors of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8018 divided by -3?\nAnswer: 8018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:26 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6855.985l to millilitres.\nAnswer: 6855985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 740. Suppose 0 = 5*s - 32 + 12. Suppose -12 + r = -s*m. Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/w*w**(-1\/4))\/(w*w*w*w\/w**0)**(2\/41) assuming w is positive.\nAnswer: w**(-1021\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25140, 25151, 25162, 25173, 25184?\nAnswer: 25195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-218)\/28 + -1 + 209\/(-19) + 16 and -65\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -0*p - 42 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 2717, 9294, 22099, 43208, 74697, 118642?\nAnswer: 177119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4860447 + 7662657.\nAnswer: 2802210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Suppose 2*m = 5*t - 12, 0*m = t + m - g. Find the third derivative of -v**5 - 9*v - t*v**2 + 9*v wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103474 = 5209*r - 5223*r. List the prime factors of r.\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 3 + 3. Let k(g) be the third derivative of g**6\/180 - 13*g**4\/12 - 17*g**2. Let z(f) be the second derivative of k(f). Give t(z(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/27)\/v*v**14 assuming v is positive.\nAnswer: v**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1423?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46088379415.3+-1.3\nAnswer: 46088379414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000692689027 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z. Let d(u) = -2*u - 3. Let y be d(-3). Let w be (-2 + y)*1*0. Solve z = 2*i + 3*a - 4, w = -0*i + 2*i + a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-78)\/429)\/(20\/(-44)). Which is the biggest value? (a) 4 (b) u (c) -0.1 (d) -1\/6 (e) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -9. Let c be 2\/(-9) + (-130)\/(-18). Calculate the greatest common divisor of l and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 3*q**3 + 1 - 3*q + 2*q + q**4 - 5 to the form g*q**4 + k*q + u + w*q**2 + v*q**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 134729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3296, -6577, -9858, -13139, -16420, -19701?\n\"Answer: -3281*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13655\/9 - -1517. Let p = -9 - -13. Which is the second smallest value? (a) -1 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/5 + 7\/10. Suppose -3*m = -4*x - 10, -m - 2 = -0*m. Which is the third smallest value? (a) -5 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (-40 - -42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90000 divided by -200.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvzffffvffflf. What is prob of sequence flf?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*r + 20*r + 34*r)*(-3 - 1 + 6)*(-10 + 23 + 3*r + 23) as m + g*r + l*r**2 and give l.\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-1822)\/20 - 2. Let y = o + -93. Find the common denominator of y and -87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*k + 11 = 0, 89 - 105 = 5*d + 3*k. Let i = 17 + -12. Sort i, 2, d.\nAnswer: d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -7280?\nAnswer: -269360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 18*n + 34. Give i(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3829156*d**4 + 36802*d**2 + d + 57?\nAnswer: -91899744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in 35, 1\/4, -1\/5, -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.017 - 0.483. Let w = 1 + 0. Which is the nearest to 1? (a) w (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1196 and 139\/16284.\nAnswer: 211692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431212303203 - -4?\nAnswer: 431212303212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004700104496 to 6 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4 - 0) + 32 + -12. Let t(p) = p**2 - 16*p - 14. Let a be t(c). Suppose -a*j = -2*j - 10. Solve 5*d + 2 = -y + j, -1 = -4*d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 - (-114)\/12. Let m be t\/(-4)*3\/(-2). What are the prime factors of (-120)\/(-5) - m\/1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*h**3*q**2 - 5*d*h**3*q - 180*h**3*q**2 + 5*q wrt q.\nAnswer: -2*d*h**3 - 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 5 - (5 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1352 + -0.4.\nAnswer: 1351.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = p - 4*p + t, 0 = -3*t + 12. Which is the nearest to -0.1? (a) p (b) 2\/23 (c) 0.3 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11197?\nAnswer: 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 87 = 5*l, -5*a = 4*l - 37 - 3. Let h = -3 + l. What is the remainder when (-5 - (-1 - 5))*-3 - 136\/(-4) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 12*v + 11. Let y be n(11). Let w = 2 - y. Solve 4 = -2*h - 4*l + w*l, 2*h = 2*l - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 15299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1717384 hours in days?\nAnswer: 0.0904891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1405 divided by -174\nAnswer: -1405\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r**2 + r)*(-4 + 2 + 0)*(-9 - 7 + 7).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 750324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74411036.\nAnswer: 2, 7, 31, 59, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6.189, -2\/19 in descending order.\nAnswer: 6.189, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*d**5\/3 + 10*d**4\/3 + 7472*d**3\/3 + 9464*d**2\/3 - 7776*d - 8448 = 0. What is d?\nAnswer: -22, -2, -1, 12\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnowwnwoow. Give prob of sequence nooo.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - d**2 + 203*d - 627. Determine o(3).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, 8\/3, -110?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -36, -25, -10, 9, 32?\n\"Answer: 2*r**2 + r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**3\/5 - 231*x**2 - 1527*x\/5 - 381\/5 = 0. Calculate x.\nAnswer: -127, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*g + 134*g - 2 + 3.\nAnswer: 129*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.1 + -21. Let p(y) = -2*y + 7. Let j be p(6). Which is the closest to 2\/7? (a) 0.3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 20. Suppose m*d - 255 = -0*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*c - 1021*c - 3510 = 0. What is the highest common divisor of 26 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -919.6 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/193 - 7319\/579. Calculate the common denominator of (-1 - 0) + (-146)\/(-6) and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 2. Suppose 5*b = -3*n + 14, 3*b + 2*n - 4*n - 16 = 0. Suppose -2*u - 2*u = -i*k - 71, b*u - 53 = -k. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 654*d**2 + 2658*d + 8. Calculate a(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11356*a**4 - 562*a**2 + 2*a + 11104666.\nAnswer: 45424*a**3 - 1124*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*sqrt(175) + sqrt(175))*-1)**2 + 2*(5 + sqrt(7)*1 + sqrt(7))) + 1.\nAnswer: 24*sqrt(7) + 4261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3023 + -2591. Let y = 3725.0744 - 4157.143. Let s = y + p. Round s to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53620444 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1521 - -1520. Which is the closest to -10.8? (a) 3\/5 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1018*d**4 + 124*d**2 - 3 wrt d?\nAnswer: 24432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 563250 and 375500?\nAnswer: 1126500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - (-2 - 1)\/3) + -65783. What is w rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**3 + p**3)*(-p + p - p**2) + 241*p**5 - 424*p**5 + 260*p**5.\nAnswer: 79*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4908 (b) 1\/2 (c) 0.1 (d) -2 (e) -2\/5 (f) 2\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190\/37 + 533\/111. Sort k, 0.2, 0, -1.5.\nAnswer: -1.5, k, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 17*h - 14. Suppose 4*f - 30 = c + c, 0 = 5*c - 5*f + 75. What is the units digit of l(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90913 - 90913 - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2198*k + 2193*k = -5*y + 360, 3*k + 1276 = -44*y - 0*k + 4303 for y.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 12*s - 5*h + 640, 4*s - 517 = -5*h. Is 122 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let b(w) be the first derivative of w**3\/3 + 2. Let n(v) = -12*v**2. Let z(a) = 15*b(a) + n(a). Give q(z(d)).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -27341539494370.\nAnswer: -27341539494368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 6. Suppose 5*f - 180 = -w*q, q = -3*f - 2*q + 114. Let o(r) = 11*r**2 - 5*r + 5. Let d be o(1). What is the greatest common divisor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 15, -13, -79, -195, -373?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 2000?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 67, 97, 127?\n\"Answer: 30*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 + 3*d + 4. Let u be r(-4). Suppose 3*h = -t + 4*t + 21, -11 = -h + 5*t. Suppose -u*o + 42 = -h. Solve 2 - o = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234 - -163. Let a = 21 + h. Which is smaller: a or -49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -216, -484, -800, -1164, -1576, -2036, -2544?\n\"Answer: -24*x**2 - 196*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Find the second derivative of i*z + 98 - 98 - 3*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -263 - 1. Suppose 1831 = 140*u - 1233 - 16. Calculate the highest common factor of q and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/1870)\/(13\/(-26)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0897, -0.02, -0.7 in increasing order.\nAnswer: -0.7, -0.0897, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 9, -1, -19, -4 in decreasing order.\nAnswer: 9, -1, -3, -4, -19, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234630)\/164241*287\/5.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 31. Let k be h(34). Is 17 a factor of (2\/(-10))\/(k\/3315)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - (4 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*s = 4 - 20, 10 = h - 4*s. Suppose -q - 91 = k - 387, h*q - 591 = -3*k. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, a: 1}. Give prob of picking 1 a and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 5*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {f: 4, h: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19007483 to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 39*s + 53. Give u(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64480 by 32240.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i = 57*i + 336. Suppose -96*t + 96 = -i*t. Let a(q) = -q**2 + 6*q + 9. What is a(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 33356952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1478, 2027, 2942, 4223, 5870, 7883?\n\"Answer: 183*w**2 + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 335*r**4\/24 - 41*r**2. Let y(o) = -2*o. Determine y(n(w)).\nAnswer: -670*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 2*f, -5*f + 12 = 5*q + 2. Suppose 6*a = f + 46. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2013533 or -2013534?\nAnswer: -2013533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 4, q: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 359*l + 11227. Give q(-29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 102 = 3*g + 2*i, 3*g = -14*i + 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/99*(1\/(-4) - 12382\/(-6040))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + 0) - sqrt(108))**2 + (sqrt(3) - (-1*sqrt(21) + sqrt(21))\/sqrt(7)) + sqrt(3).\nAnswer: 2*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 8*y + 10. Let n = -18555 - -18563. Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**21\/(((((u*u**4)\/u)\/u)\/u*u)\/u**(-2\/3)))\/(u**6*u*u\/u**(-2\/9)*u**(2\/9)*u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-2167\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 = 23. Let r(b) = b**2 - 8*b + 4. Let d be r(5). Let t = q - d. Solve -10 = -2*i + t*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from vzufbbbmfvbuffffb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4255088622?\nAnswer: 2, 3, 709181437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -517.148?\nAnswer: -526.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzrsfrsbbsrzubf. Give prob of picking 1 f and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 42141?\nAnswer: 42140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 463 and -9?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:06 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -3*k**5\/5 - 45*k**4\/8 - 31*k**3\/2 - 9*k**2 - 551. What is r in y(r) = 0?\nAnswer: -4, -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(108)*5)**2 + (1*sqrt(363) + 1)**2)*5.\nAnswer: 110*sqrt(3) + 15317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 69*c**2 + 14*c**2 - 93*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -88831*w**2 + 10*w**4 - w**3 + 88829*w**2 + 2*w**3 - 4 in the form p*w + t*w**4 + v + s*w**3 + d*w**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -20, 17*q = -4*t + 16*q + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 - 1 = 0. Suppose 7*a - u = 5*a. Solve a = -f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*m - 171 = 198 - 73 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -7254\nAnswer: 11\/7254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:03 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 6, k: 2, o: 4}. What is prob of sequence kk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22256*b**4 + 24818*b wrt b?\nAnswer: 267072*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 781 + 113. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 62103, -0.5, -1, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2*(-1)\/(-2)). Suppose x + 4*x - 530 = n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/(3\/(-12)*-52))\/(386\/2509)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.47 and 90.786.\nAnswer: 98.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*j**2 - 27*j - 104*j**2 + 3*j + 293*j**2 - 98*j**2.\nAnswer: -2*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/67 and 49\/1943.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1143198768 divided by -3862158\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 13*t + 16. Let p be (-1)\/3 - (-176)\/6. Let c = -18 + p. Let f be n(c). Is -6 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 988, 1, 6, 2, 5 in decreasing order.\nAnswer: 988, 6, 5, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2931?\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0765491554 + 3755.8\nAnswer: 3755.7234508446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-8*13\/(-52).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 224290*n + 12576501025 = 0 for n.\nAnswer: 112145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, 3\/5 in decreasing order.\nAnswer: 3\/5, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from ggggccddcqd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = -2*t + 6*t + 3*i, 4*t = -2*i + 1004. What is the lowest common multiple of t and 6?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1529*v - 3 + 2 - 1528*v + 56*v**4 + 4 to the form h*v**4 + a + w*v**2 + z*v + y*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (24 + (72 - 8))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 4*b**2 + b + 2. Let z be h(-4). Let l be (0\/((-2)\/z))\/1. Let t be 2*1 + l\/(-3). Solve 2*o + 4 = -t*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24590.1 + 24590. Sort -3, 4, c, -1\/2, 1.23.\nAnswer: -3, -1\/2, c, 1.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 139 - 27 = -3*y, 0 = 4*y + w - 253. Calculate the highest common divisor of y and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12402 and 5499?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = d - 8, -5*r + 3*d + 40 = 0. Let c = 6 + r. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s - 100 - 8. Let v(y) = -15*y - 10. Let t(b) = -5*b - 3. Let j(w) = s*v(w) + 10*t(w). Let g(p) = 25*p. Give j(g(k)).\nAnswer: -125*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81357 times 0.4?\nAnswer: -0.325428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 3*l**2 - l - 2. Let p = 4 - 2. What is the common denominator of 116620\/(-1904) + 62 + 0 and r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -r. Suppose -14 = r*w - 0. Let q(u) = -12*u + 6. Does 15 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2)*(218 - (-351)\/(-13)). Solve w*a - 6 = 383*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -399, -595, -793, -993?\n\"Answer: -y**2 - 191*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(0 + (-6)\/20). Let j = -0.102 - -0.163. Let z = j + -5.061. Sort d, z, -6\/13 in decreasing order.\nAnswer: -6\/13, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a. Suppose a*b + 2*k = -2*b + 48, -5*k + 74 = 3*b. Let c = -18 + b. Let u(w) = -w**3 + 4*w**2 + 4*w + 7. Calculate u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21)*d)\/d*d\/d**21*d assuming d is positive.\nAnswer: d**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03235 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96381 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 2. Let a(v) = 75*v + 51. Let d(p) = 6*a(p) - 153*m(p). Let k(f) = 745*f - 244*f - 250*f - 250*f. Determine k(d(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213\/16 - 33\/16. What is the common denominator of x and -35\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 16. Let c = 8 - q. Solve -3*j + 35 = -4*d, c*d + 8 = -j - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 345*m - 2 - 1 + 361*m.\nAnswer: 16*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*r + 35, 2*r + 59 = 2*w - 3*r. Let s = 36 - w. Let v be 0\/2 - s\/(-70). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.2, 0.036, 2\/5, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4921, -4876, -4831, -4786, -4741?\n\"Answer: 45*z - 4966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 295828815 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4508 and 225.5?\nAnswer: 225.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 5. Let k be (1\/(-2))\/((-11)\/(-110)). Let o(z) = z + 8. Let l be o(k). Which is the second biggest value? (a) -0.3 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 8.6, 4, 1, 6 in decreasing order.\nAnswer: 12, 8.6, 6, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, g: 1, f: 1, z: 1}. Give prob of sequence fz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x + 7. Let f be v(7). Suppose o - f = -o. Suppose 0*u = -5*u + o. Calculate the greatest common factor of u and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/24 + 5050*z**2. Suppose -9 = -7*f + 4*f. Suppose -4*y = -f*y. What is h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h - 840 = 0. Suppose -3*v = -8*v + h. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:53 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-6*(sqrt(132) + sqrt(132)*-1)*-4)\/(3*((1*sqrt(108) - sqrt(108)) + sqrt(108) + -1*sqrt(588))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86483 and 1576.\nAnswer: 691864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-31)\/(m**(-2\/7))**(4\/25) assuming m is positive.\nAnswer: m**(-5417\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100111 - 312?\nAnswer: -101023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -778*z**2 + 3*z + 4. Let n be h(-1). Let t = n - -777. Solve -p - r + 2 + 1 = t, 5*p - 5*r + 25 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + s = 5, 2*s - 3 = -4*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275373 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 + 23641\/60. Let f(c) be the third derivative of 0*c + 0*c**3 + 0 + 0*c**4 - m*c**5 - c**2 + 1\/120*c**6. Find the third derivative of f(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 0.344 in increasing order.\nAnswer: -0.4, 0.344, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93619 + 93622.00024. Let w = 0.6 + -3.6. Let j = h + w. What is j rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 94, -18, -144, -290, -462, -666?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -14*j + 1 - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1621, -2, -6, 5, -23 in decreasing order.\nAnswer: 1621, 5, -2, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036456294571807 + 0.1?\nAnswer: 1036456294571807.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiie when four letters picked without replacement from {i: 2, e: 1, x: 1, z: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 - 310*y\/7 + 1824\/7.\nAnswer: (y - 304)*(y - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i - 31*i + 4*i**2 - i**3 - 2*i**4 - i**3 in the form b + w*i + h*i**2 + j*i**4 + m*i**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/4 (b) 7 (c) 23325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5445 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*j + t, -5*t - 12 - 20 = 2*j. Let i(d) be the second derivative of d**3\/6 + 3*d**2\/2 + 2*d. Determine i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w + 51*w - 84*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1631.331273 from 0.018.\nAnswer: -1631.313273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -1, 4, -2, 111, -10 in decreasing order.\nAnswer: 111, 4, 1, 0, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009032698 to seven decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose 2*q = 6*q - 76. Suppose 3*j = j + f*w + 18, -3*j + 4*w + q = 0. What is the least common multiple of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607523 greater than 1607539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15895f (base 16) to base 10\nAnswer: -1411423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.87, 7\/18, -15?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 566010999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-15))\/(65\/(1170\/6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 4*w + w)*(-6 + 2 + 2) + 11*w - 55*w + 13*w as t*w + q and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 28*x**2*y**3 - 5*x*y**3 - 4*y**3 wrt x?\nAnswer: -12*x - 56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 + 100\/((-1150)\/46)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**4 + 5*x**3 + 5*x**2 - 10*x. Let o(a) = a**5 + 10*a**4 - 6*a**3 - 4*a**2 + 11*a. Let g(h) = 5*o(h) + 6*p(h). Let g(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llusuluuussus. Give prob of sequence lul.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*o + 53, -u - u - 5*o + 15 = 0. Let z(p) = p - 6. Let j be z(u). Solve -y - 3*v = j*y - 19, 0 = v - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4, 15*h = -3*z + 12*h + 27. What is the closest to -2 in z, -8\/3, 0.1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 45*j. Let y(r) = -r + 492. What is y(i(m))?\nAnswer: -45*m + 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38050095.9 and -0.5?\nAnswer: 38050096.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 7. Solve 10 = i*f, -1 = -3*b - 3*f + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.2, 5, 9.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 5, -1\/5, 0.5 in decreasing order.\nAnswer: 5, 0.5, -1\/5, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)*-1 - -3. Is y\/(-15)*(-1422)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 5, c: 4, n: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 4*l, 0 = -l + 3*j - 7 + 1. Let f(n) = n**2 - n + 5. Give f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w - 1. Let i(v) = -v**3 + 5*v**2 - 8*v - 53. Let l(s) = -3*a(s) + i(s). Factor l(x).\nAnswer: -(x - 5)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/27 (b) 0.2 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/40 and -107\/760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950183?\nAnswer: 3, 72229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 782.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10*q = 27, -4*x + 20*q - 21*q = -30 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5934*q**2 - 13588*q**2 - 43316*q**2 - q.\nAnswer: -62838*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c - 1 - 9*c + 0 - c**2. Let j be (36\/15)\/((-9)\/30). Calculate the remainder when t(j) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = 6, -7*i + 8*i + 7*i = 4*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108890*m**2 - 59615*m wrt m?\nAnswer: 217780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 13.6. Let x = -1 - i. What is the nearest to -1 in x, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 + 148 + 2308*l**2 + 209.\nAnswer: 2308*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1930 + -1929.8044. What is n rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1920)*1*3 - sqrt(1920))*-6)\/(4*(sqrt(150) - -4*sqrt(150)*-2)).\nAnswer: -96*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from bmdddmmmbddmbmd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 1451504*u**2.\nAnswer: 4*u**2*(u + 362876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -407, -393, -379?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9124 and 328.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((-14)\/(-54)*-3 - -1). Let s = 75\/4 + -17. Solve 5\/2*f - 3\/4*f**w - s = 0.\nAnswer: 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010100010100010 + -101?\nAnswer: 101010010100010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 3*x - 15, 3*b + 3*x - 5 = x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 892483169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -4. Let o be 1\/4 + (350\/(-40))\/(-1). Is o < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 143. Suppose x = -0*x + r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:01 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4693 months in millennia?\nAnswer: 0.003955775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.7, -0.04, -2\/21, 5 in descending order.\nAnswer: 5, -0.04, -2\/21, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 c, and 1 d when four letters picked without replacement from cccccciciddcccc?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + 1223. Suppose 7*g - m = 1247. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127597*z**2 - 137954*z.\nAnswer: -255194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529419 is divided by 529412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3\/3 - j**2\/2 + j + 1. Suppose 10*k + 18 = -32. Let h(y) = y**3 + 5*y**2 + 7*y - 5. Calculate k*a(u) - h(u).\nAnswer: -u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/13, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -116 - 19. Calculate the remainder when 44 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 0, 3*q + 4*b + 62 = 21. Let f(d) = -d**3 - 7*d**2 - 3*d - 17. Let k be f(q). Solve -3 - 1 = k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:38 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 9\/((-36)\/(-16)). Suppose 2 = 4*y + j, 0*y - 4*j = -l*y - 8. Let k = -132 + 134. Solve -2*s + 0*s + 5*g - 31 = y, g = -s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1648)\/336 - -5)\/((-3)\/((-21)\/2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3703.103795418 + 8\nAnswer: 3711.103795418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 63, 87?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3546344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*v, -2*m = 2*m - 2*v + 20. Sort 5, 3, m in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 1.466, 0.44, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9267764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 43. What is the remainder when w is divided by 18\/16*-2*416\/(-78)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h**2 + 3*h. Let u(i) be the first derivative of 4*i**2 - 1138. Determine u(q(n)).\nAnswer: 200*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13 - -536 - 4*-1?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*v - 4 = 0, -22 = -7*d + 817299*v - 817294*v for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}