diff --git "a/data/dm_maths/full_data/1122_11255.jsonl" "b/data/dm_maths/full_data/1122_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1122_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v = -16.99 - -17. Let z = v + 0.09. Let l = 361 - 359. Sort -2, z, l in descending order.\nAnswer: l, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32590115*n**2 + 21228478?\nAnswer: 65180230*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -17. Let f(p) = 0*p - 3 + 2*p + 2*p**2 + v*p + 9. Let b be f(-6). Solve 2 + b = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 8*i**2 - 8*i - 3. Let w be t(-7). Let a = 0 + w. Solve 0*h = -a*h + 3*n - 26, -2*h - 5*n = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6395 is divided by 188.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 119 + 825. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59120913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1028.9 + -1030. Put 0.16, 0, q, 0.1 in increasing order.\nAnswer: q, 0, 0.1, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14942 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-50)*((-115)\/40 + 1)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 33*o + 36*o = 30, 0 = -3*h - 2*o + 55. Which is smaller: 23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.2811ng to kilograms.\nAnswer: 0.0000000000102811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132227 is divided by 44012?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12879179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*o + o. Let z = o - 1. Suppose -3 = 3*c + z. Put 0, 1, c in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63905705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1737 - 524. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11586 and 254.\nAnswer: 1471422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/50956 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23796153 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 2 + -82 + -74 + 147.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293 + -38968\/133. Let v = j - 535\/399. Sort v, -1\/8, 5 in descending order.\nAnswer: 5, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50402061*j**3 + 86759897*j wrt j?\nAnswer: -302412366*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/17 - 174*k**2\/17 + 2344*k\/17 + 960 = 0.\nAnswer: -5, 24, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*n**3*t**2 - 19*n**3*t + 1950*n**2*t**2 + 5*n**2*t - 3*n*t**2 + n + t**2 - 105 wrt t?\nAnswer: -50*n**3 + 3900*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-2170)*-245*(-2)\/((-14)\/129)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 138 + 45 = 0. Let p = -21 - r. Solve 0 + p = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152578, 3, -2\/77, -1\/2 in ascending order.\nAnswer: -152578, -1\/2, -2\/77, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let t(y) = y + 2. Suppose 210 = -4*c + 54. Let z(i) = -7*i - 13. Let b(l) = c*t(l) - 6*z(l). Give b(j(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/60 + (-7)\/(-42)*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zzzzzzzzzzzzzzzzzeez.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -369*m + 5. Is y(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 0. Suppose 0 = -5*o + 5*j + 20, -o = -3*o + 4*j + 16. Which is the nearest to o? (a) -0.2 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 + 174450*o**3 - 1521291185*o**2 - 6087258300*o - 6087956180 = 0 for o.\nAnswer: -2, 17447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a gram in milligrams?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/7, -0.2, 0, 38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from citabcwaaaactww. Give prob of picking 2 c and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10886 is divided by 3617.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -29.5. Let n = 77 + -51. Let x = n - 27. Which is the smallest value? (a) x (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2525*p + 6088. Give r(0).\nAnswer: 6088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:45 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.1 + 12. Let r = -0.7 + 5.7. Let k = 4 - 3.8. Which is the closest to k? (a) 2 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34705 and 1974518.2?\nAnswer: 2009223.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 2*i**2 - 16*i**3 + 17*i**3 - 10*i**3. Let n be l(-1). What is the remainder when n - -6*8\/(-12) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 4*q**2 + 3. Let o be n(-4). Suppose 2*r + 2*y = 30, 3*r - y = o*y + 10. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 - 90*p**3 + 295*p**2 - 210*p = 0 for p.\nAnswer: 0, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 393, 590, 787, 984?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 352 - 347. Suppose -4*o + 1796 = 3*x - 0*o, -g*o - 1159 = -2*x. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 2*k + 45 = 0, s - 15 = -4*k. Suppose -s*b + 4*b + 11 = 0. Solve -b - 2 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*b - 37592 = 0, 0*b - 4*b = 8. List the prime factors of i.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2348 - 308 = c + 16*c. Does 40 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72857531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*c**3 + 168*c**3 + 282*c**3.\nAnswer: 258*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 38*k**2 - k. Is 13 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -134*t + 97. Let o(p) = -51 - 28 + 155*p - 22 + 5 - 25*p. Let w(i) = -3*c(i) - 4*o(i). Differentiate w(d) with respect to d.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 v when three letters picked without replacement from {a: 3, v: 3, y: 1, j: 6, k: 1, s: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1787.80883 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 2. Let i(q) = 25*q - 17. Let l(c) = 51*f(c) - 6*i(c). Let p(m) = 3*m**2 - 7*m**2 + 3*m**2. Calculate p(l(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 315. Let v = -34 + m. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 690650?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.305 to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1121 + -639. What are the prime factors of s?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53998984?\nAnswer: 2, 13, 37, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1180.38 - -1170. What is w rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6105, -12211, -18315, -24417?\nAnswer: -30517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r\/(r*r**(-5\/4))*r*r*r*r*r**(-2\/7)*r assuming r is positive.\nAnswer: r**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 + t + 4. Suppose -138*m + 135 = -93*m. What is y(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let t be 11 + ((-4)\/2)\/(12 + -13). Let d(q) = 21*q + 9*q - t*q. Determine d(u(w)).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -12 (c) -4 (d) 3\/74 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x**2 - 43*x**2 + 53*x**2.\nAnswer: 76*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8531.683 millennia to years.\nAnswer: 8531683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a6b1 (base 16) to base 9.\nAnswer: -733831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s = 0. Sort -5, s, -1.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28242, -112979, -254208, -451929, -706142?\nAnswer: -1016847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -75, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2. Let u(k) = -9*k + 24. Let r(b) = -b + 3. Let t(g) = -24*r(g) + 3*u(g). What is w(t(f))?\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -5*x - 32. Let z(g) = 15*g - 12. Let n be z(x). Let l = 201 - n. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = 3*q, 3*x = 4*q - 2*x - 10. Suppose -q*d + d - 4 = 0. Let y(i) = -5*i - 1. Let w be y(d). Solve -h - 4*h + 5*t = 5, 0 = -w*h - 4*t + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 - ((4 - 12) + 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*w = -2, -4*z + 0 = -w - 6. Suppose 5*y + z = 4*d - 0*y, -4*d + 4*y = 0. Let m be (0 - d) + (-7)\/14. Do 3 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 0*o - v*o - p + 110 = 0, p = -3*o + 165. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2 - 3*i + 4202. What is the hundreds digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:52 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -2\/15, 1\/41?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (0 - 1))*2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 43.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 5. Let f(a) = a**2 + 11*a - 21. Let h be f(-13). Let d be (-1)\/(-4) - (37\/4 - h). Give m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q*q**(-2\/9)*(q**6\/q)\/q*q*q**(-6))**(-43))**(-20) assuming q is positive.\nAnswer: q**(-9460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368130.117777 + 42.197523. Let m = 368376.3 - q. Let u = m - 204. Round u to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let y(k) = -k**2 - 10*k + 7. Let x be y(-11). Let j(w) = -w. Let q(v) = x*r(v) + 2*j(v). Let n(m) = -15*m - m - 12*m. Give q(n(h)).\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10110010100010?\nAnswer: -10110010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12 = 28. Suppose a*d + 6*u - 11*u = -25, -5*d = -5*u + 25. Sort -1, 1, 5, d in ascending order.\nAnswer: -1, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-3) + 14\/21. Let y be (0 + (-3)\/k)*-4. Calculate the greatest common divisor of y and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*k**2 - 9*k - 8*k + 17*k to m*k + s*k**2 + g and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 10*t + 12. Let j be n(9). Let g be (-3)\/j*12\/(-2). Let k = 23 - g. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279\/5 - -56. Let l(v) = -v + 4. Let b be l(2). What is the nearest to p in b, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -412122 (base 5) to base 16\nAnswer: -3464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 20. Let g = 6 - h. Solve g = 3*p - 5*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8838 + -4?\nAnswer: -8843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - 100\/(-26)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let g = 187 + -79. Calculate the remainder when g is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 1. Let k be m(1). Suppose 4*f = -0*f - 2*r + 8, -5*f + 10 = r. Sort k, -5, f.\nAnswer: -5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from iiiiiiifiiiififiii.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2268013537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 51. Let s(j) = -j**3 + 4*j**2 + 2*j - 3. Let c be s(b). Let z = c + 4. Solve -z = 4*x + 4*p + p, 3*p - 4 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -35\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 173, 847, 2221, 4493, 7861, 12523, 18677?\n\"Answer: 33*q**3 + 152*q**2 - 13*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -2\/103, 0.3, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**7\/504 - l**4\/12 - l. Let k(o) be the third derivative of h(o). Let g(f) = 4*f - f - 5*f. Give g(k(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -307. Let t = v - -224. What is the nearest to -0.1 in t, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54605.77071 - -54606. Round a to 3 dps.\nAnswer: 0.229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.7579 + -0.1379. Let q = 35 - d. Let g = -0.3783 + q. What is g rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 75*z**2 - 348*z + 16. Give k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299) + sqrt(2299) + (sqrt(2299) - sqrt(2299)*3 - sqrt(2299)) + sqrt(2299))**2 + -4 + 1.\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 24*t**2 - 2*t - 42. What is f(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*s - 72. Let y = -49\/4 + s. Which is the fourth biggest value? (a) 2\/5 (b) y (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*r + 8*r. Let k be 4\/(-10) + (-129)\/(-5). Let g = r + k. Which is smaller: g or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.8 and -95\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**32*k*k**(-1\/5))**49 assuming k is positive.\nAnswer: k**(8036\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -0.09. Which is greater: 0.2 or i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101410 (base 5) in base 6?\nAnswer: 2025321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69.64629 times 0.07\nAnswer: 4.8752403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/27*(-14)\/((-56)\/(-3)). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440 + -308. Let w(q) = q**3 + 6*q**2 - 8*q - 3. Let u be w(-7). Suppose 2*x - u*x + v = 0. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n**(1\/2))*n*n)\/n*n**(2\/9))\/(n*n*n*n\/n**0*n)**(-48))\/(((n*n**(-1)*n)\/n)**(-1\/43)*(n\/n**(1\/6))\/n**(2\/5)) assuming n is positive.\nAnswer: n**(10858\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-112\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62 + -5 + 2)\/(-1). Suppose 724 = 64*t - 18*t - 472. Calculate the highest common divisor of k and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8 = 2*f. Suppose 5*h - 35 = -2*n - 3*n, 2*n = f*h + 8. Differentiate 4 - n - 4*m**4 + 2*m**4 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101349 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*i**2 + 321668097*i - 71481798 = 0. What is i?\nAnswer: 2\/9, 11913633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2001*j**2. Let u(f) = -132819*f**2. Calculate s(u(k)).\nAnswer: -35299414408761*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 + 24 = 0. Let f be w\/8*(-4)\/2. Let b be (-2 + -7)\/(-3)*(-1)\/(-3). Sort -3, f, b in increasing order.\nAnswer: -3, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8330*u**6 + 5*u**2 + 16*u + 3 wrt u?\nAnswer: 999600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 540*a + 3277. Let d be s(6). Which is smaller: d or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (114026\/33)\/(7 - 140\/21). Calculate the greatest common divisor of z and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.29 rounded to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 23. Let m be t(11). Suppose -3*y = y - 32. Suppose 5*d = y*d - m. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0 + -1)*-3)**2 + 5.\nAnswer: -108*sqrt(7) + 2282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/3 - 11*l**3\/6 + 11*l**2\/2 + 11*l. 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: What is the first derivative of 5*o*q*x + 148*o*q + 50948*o*x + 6*q*x wrt q?\nAnswer: 5*o*x + 148*o + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-1)\/3 + -1)*36. Let p be (-16)\/12*(-54)\/g. Suppose -p*z = -8*z + 810. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 25*r**3 - 35*r**2 + 25*r + 30.\nAnswer: 5*(r - 6)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 9:51 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/5 (b) -4 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46356494*y + 77563700 wrt y?\nAnswer: 46356494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:24 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 38 = -8*a. Let l = 0 + 0.2. Let g(r) = r**3 + 15*r**2 + 2*r + 31. Let x be g(-15). What is the closest to a in 4, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m\/m**18)))\/m))\/m)**(-2\/101)\/(m\/m**(9\/8)*m*m**10) assuming m is positive.\nAnswer: m**(-9075\/808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/(-220))\/((-2)\/5*3\/(-27))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 10 + (-20 - -13) - (-2030)\/72. Which is greater: 28 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -179*n + 175*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 7\/140*5. What is the closest to v in 0.2, -0.14, 2\/9, 0.3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001110 (base 2) to base 14.\nAnswer: -58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 8*w + 7*w - 16*w)*(-2*w**2 - 1 + 1).\nAnswer: 2*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/10 - u**5\/12 + 11*u**4\/24 + 2*u**3\/3 - u**2 + 89*u. What is the hundreds digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14 + 15*l - 26*l + 7*l**2 - 7 + 2. Let d be g(-5). Let t = d + -115. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -33*d. Let p(h) = -328 + 2*h + 7*h + 328. Calculate t(p(n)).\nAnswer: -297*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -51. Suppose 0 = -z*f + 8 + 18. Let u = 20 + f. What is the remainder when u is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*k*u - 85*c*u - 2*c + 581*k*u + 1397*k - 40 wrt u?\nAnswer: -2*c*k - 85*c + 581*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-1571.\nAnswer: 12568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3890 + 3895. Put 3, -516, s in ascending order.\nAnswer: -516, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -5\/4 (c) -1\/3 (d) -418 (e) -2 (f) 5 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1691*f**7\/42 + 14*f**3 - f**2 - 19*f - 65. What is the second derivative of y(z) wrt z?\nAnswer: 33820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1127, -1134, -1145, -1160, -1179, -1202, -1229?\n\"Answer: -2*t**2 - t - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14887685 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/(-63) - (-2)\/(-9). Suppose 2*h - 2 = 2*a, -2*h + c = 4*a - 0*h. Suppose a = -2*i + 5*i - 33. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/78 + 6\/(-39). What is the second smallest value in 0.3, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507500 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45580?\nAnswer: 2, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/48*3*(-4)\/(-5). Is -4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -1492 + 1450. Solve n*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13458050 is divided by 87961.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12658 divided by -113\nAnswer: -12658\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33418318, 66836640, 100254962, 133673284?\n\"Answer: 33418322*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Suppose y*l = 5*p + 2*l - 79, -8 = -p - 2*l. Solve -4*x + 2 - p = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Let i be (2*-1)\/(6\/3). Which is the nearest to f? (a) 3 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2522 + 2533. Solve 116 - p = 21*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -63*d + 68*d. Let n be (-693)\/d - (-1)\/(-2). Suppose -5*s - n = -421. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4777\/9 + -531. Let p = -21 + 20.74. Which is the biggest value? (a) -0.3 (b) f (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -82*d + 2148. Give z(6).\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22.86 (b) 1 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h - 2. Let d be n(-3). Suppose -5*p + 7 + 13 = 0. Suppose 2*o = 3*s - d, 0*o = 3*o + p*s + 26. Is o >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 2. Let g be w(0). Let h(m) = -4*m**2 + g*m**2 + m**2. Let z(k) = 12 + 4*k - 12. Calculate h(z(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/5 - (-12)\/(-20). Suppose 0 = -4*y + m*y - 3*n + 1073, 4*n - 539 = -y. Suppose 3*o - y = -2935. What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*i**3 - i**2 - 4*i + 79.\nAnswer: 1278*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = -14. Let o be (-8)\/(-3)*(-12)\/8. Let v = o - a. Solve k = 2 - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.028 - -0.028. Let y = -39 - -40. Let q be ((-13)\/39)\/(y\/(-5)). Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11482032 and 1376.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 964.0386mm?\nAnswer: 964038600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 4*b**3 + 36*b**2 - 36*b.\nAnswer: -4*b*(b - 3)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -26*t**2 - 1. Let s(i) = 13*i**2. Calculate x(s(p)).\nAnswer: -4394*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 706656165 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70378407, -70378408, -70378409, -70378410, -70378411?\n\"Answer: -y - 70378406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/(-209) + 2664\/(-4224)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-14 + 89 - 8)*(0*p - 5*p + 3*p)*(-1 + 0 + 0).\nAnswer: -402*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (666\/(-18))\/(1\/16*-2) and 20.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 590940261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 12 - 6614*v**2 - 50 + 16.\nAnswer: -6614*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 6, n: 2, p: 1, w: 5}. Give prob of picking 3 v and 1 w.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3259202401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5335 and 67.\nAnswer: -357445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6814.626 millennia to months.\nAnswer: 81775512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 28. Let j be p(-22). Suppose 21 - j = 3*v. Sort -1\/8, v, -1, -0.11 in ascending order.\nAnswer: -1, -1\/8, -0.11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -7 + -3 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186.3203, 1\/3, 0.3.\nAnswer: 0.3, 1\/3, 186.3203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:11 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 80*l + 693 = -23*l. Solve 19*h = l - 128 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:25 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 2559. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 41*f**2 + 162*f + 4. Calculate the remainder when r(-5) is divided by (33\/2)\/(((-12)\/(-32))\/1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -18*s + 1. Let z(h) = -2*h**2. Calculate y(z(u)).\nAnswer: 36*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 3*g**2 + 0*g**2 + 4 + 2*g - 5. Let d be c(1). Find the first derivative of -5 + d + 2*b**2 + 0*b**2 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:09 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 926 + -411. Suppose j + c = 5*p, 0*p = p + 5*j - 103. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 4, -4 in increasing order.\nAnswer: -4, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -3.7, -2\/13, -13\/16 in descending order.\nAnswer: 15, 0, -2\/13, -13\/16, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 - 11*h - 5. Suppose 0 = -41*u + 46*u - 75. Let n be q(u). Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10842342, 10842343, 10842344, 10842345, 10842346, 10842347?\n\"Answer: j + 10842341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -12 + 0*c**3 - 3*c + 3\/5*c**5 + 3*c**2 - 3\/2*c**4. Determine z, given that i(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6040335*v**3 - 490665*v**2 + 2*v + 12 wrt v?\nAnswer: -36242010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -5. Suppose 210 = 7*s - 2*s. What is the remainder when s is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 9 - (-142 - -100 - -43)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1289*x + 4*x**3 - 2580*x + 1291*x - 941*x**2 as y*x**3 + a*x**2 + q*x + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Let v(x) = x + 12. Let q be v(-9). Suppose 0 = -5*b + a*n + 1156, -q*b - 2*n = -6*b + 693. List the prime factors of b.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/(-20) + 118 + -134.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 351, 1158, 2723, 5298, 9135, 14486?\n\"Answer: 42*c**3 + c**2 + 4*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 4 = 0. Let f = 171 - 165. What is the third derivative of -j*p**2 + 8*p**f + 8*p**2 - p**6 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167098734 and 0.787?\nAnswer: 167098733.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506*k + 23*k**2 - 1506*k + 19*k**2.\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-32340)\/(-147))\/110\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(((-5)\/(-2))\/(-5)). Let u be ((-15)\/s)\/((-1)\/(-4)). Let v(j) = 3*j**2 - 4. Let z be v(u). Solve -2*y + 2*n = 2*y + 26, 0 = -4*y + n - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 22. Let x be (-8)\/c + -1*1. Let j be (-66)\/(-12) + x\/(-4). Solve -1 = k - j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeryrrye. What is prob of sequence er?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 + 264*x**2 - 257*x - 156. What is p(65)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 380026, -216, 1 in decreasing order.\nAnswer: 380026, 1, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.9014 weeks in days?\nAnswer: 3975.3098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 16*s**2 - 969*s + 16701. Calculate v(17).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**3 - 3*f**3 + f**4 + 2*f**2 - 6 + 3*f**3 + 3 to the form h + u*f**3 + o*f**4 + k*f**2 + l*f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107 and 5?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 44. Suppose -p - 5*b = -23, 2*b - b + 8 = 4*p. Suppose -308 = -k - p*k. What is the remainder when k is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/((30\/(-36))\/(-1)). Suppose 31152 = 5*y - v*t, -5*y + 3*t = -33450 + 2297. What is y rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/64*16\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 25*u**2 - 89*u + 5. Determine t(5).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -12. Let s be (15\/(-6))\/(6\/g). Solve 9 = s*m + 3*y, -m + 6 = -5*y - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) -0.04 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**3*z - 1163*u**3 - 3*u**2 - 3435*u*z + 3*u - z + 11 wrt u?\nAnswer: 24*u*z - 6978*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 2806*v**2 + 27969*v\/2 + 185031.\nAnswer: (v - 5607)*(v - 11)*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*7.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 5*u. Let p be ((-21)\/(-14))\/(129\/u). Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511 (base 6) in base 14?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.12027475 to 2 decimal places.\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00457 + -0.04457. Which is the closest to 1\/4? (a) 0 (b) -6\/5 (c) -1\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 2. Let j = 0 + 6. Let h be ((-2)\/4)\/((-1)\/j). What is the remainder when 18 is divided by f(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129322 = -4*j - 2*b, 3*j = -18*b + 23*b + 97011. List the prime factors of j.\nAnswer: 2, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u)\/u)**(10\/17)\/((u*(u*u\/(u**(-12\/5)\/u))\/u*u*u)\/(u*u**(-7))) assuming u is positive.\nAnswer: u**(-1389\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 69*d**3 + 4*d**2 - 68*d**3 + d**2 - 2. Determine i(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9 - 1 = -5*r, -4*r = j - 8. Suppose -13 = -a - j*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**(4\/3)*(w*(w*w**(2\/5)*w*w*w)\/w)**(-4\/7)*(w**(-2)\/(w*w**(-2\/3)*w*w))\/((w\/(w\/(w**(-1\/5)\/w))*w)\/w*w*w\/(w**0*w)) assuming w is positive.\nAnswer: w**(-46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 - 15*i**2 + 6. Let c be f(-5). Is 255 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4229 plus -311?\nAnswer: -4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 774 - 198 = 0. Let s be 7\/(28\/n) - 0. Let h be ((s\/(-6))\/9)\/((-2)\/4). Solve -h*x + 16 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 410004043?\nAnswer: 410004022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*p = -31, -5*k - 3*p + 50 + 5 = 0. Solve 5*z - k = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -9, 11, -4, 25?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -2371, 0.019, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**4 + x**4 - 31*x**4 + (x**3 + 0*x**2 + 0*x**2)*(-x + 2*x + 0*x).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*c - 64*c + 363. Solve 10 = 6*o - c*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**6\/30 - 19*p**5\/5 - 361*p**4\/2 - 13718*p**3\/3 - 130321*p**2\/2 - 112*p. Find z such that j(z) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119381*h*k**3*r + 13*h*k**2*r - 62*k**3*r + 4*k**2 - 162*k*r + k + 2*r wrt h.\nAnswer: 119381*k**3*r + 13*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**3 + 11*l**2 + 4*l - 11. Let h(i) = -i**3 + i**2 - 1. Determine 22*h(x) - 2*j(x).\nAnswer: -2*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161849\/16 - -10120. Find the common denominator of a and ((-38)\/(-4))\/((-55)\/(-33)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*((-54)\/(-80))\/(1455\/1940).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991 - 194 = a + 4*n, 0 = -2*a - 2*n + 1570. What are the prime factors of a?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 1. Solve -m = 3*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*b = 3 + 3, -3*m - 10 = -5*b. Is (-2)\/(-5) + m - 2393\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v = -27*v - 29*v - 34, -3*v + v = -i + 26 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.5 + -30.7. Sort i, 0.2, -0.09, 2\/19.\nAnswer: i, -0.09, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(21576\/3255))\/(((-2)\/8)\/1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*p**2 + p*x**3 + 3*p*x**2 - 110517*p - 3*x**3 - 139619193*x wrt p?\nAnswer: 60*p + x**3 + 3*x**2 - 110517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20977266, -20977249, -20977222, -20977185?\n\"Answer: 5*f**2 + 2*f - 20977273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.961 + 0.039. Which is the closest to -2\/7? (a) 1\/8 (b) k (c) 2\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.437 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 338?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/28 and 33\/98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.7105 + 2.7105. Which is the second smallest value? (a) t (b) -5 (c) 2 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:38 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*g + 6241 = 2*g, -5*m + 10423 = 3*g. List the prime factors of m.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34149?\nAnswer: 3, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 13. Let f = 14 - t. Let c be 8\/f*-3 - 95\/(-25). What is the third smallest value in 0, 0.9, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1287.4 + -1289.6246. What is g rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1}. Give prob of sequence nnf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/10 - (4\/2)\/10. Is -3.6 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(0 + 9 - 6)*(4 - 2 + 0).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/(-4))\/((180\/(-76))\/5) and -47\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 192653*p - 192625*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22280.8 or 1\/109?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 4*z - 3. Let k be x(-4). Let l be (k\/2)\/((-14)\/4). Let j(s) = -s - 16. Let c be j(-15). Is c greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ckyckkcckkkckckkk.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izziiiizihizih. What is prob of sequence zi?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e26 (base 16) to base 8.\nAnswer: -117046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18788, 75170, 169148, 300728, 469916, 676718, 921140, 1203188?\n\"Answer: k**3 + 18792*k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:21 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4*24\/224)\/(124\/(-3472))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19015*h + 3433. Let a(r) = 6341*r + 1145. Let l(n) = 8*a(n) - 3*y(n). Differentiate l(t) with respect to t.\nAnswer: -6317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15232713.\nAnswer: 3, 1901, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*o**2 + 618 + 125*o**2 + 71*o**2 + 531*o**2 - 109*o**2 with respect to o.\nAnswer: 1654*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*o - 351 + 351 to the form i + t*o and give t.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggxxg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-3)*8\/16)\/(2\/((-144)\/(-12)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-20)*-65 - 10395\/805.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d**13)**(23\/5) assuming d is positive.\nAnswer: d**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*q - 23 = 9, -5*u - 4*q + 71 = 0. Suppose 10*v + u = 7*v. Let z be (-6)\/(-5)*v\/(-3). Solve z*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -22, -2\/5, -8\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*i = -14, 0 = -c + 5*c + 5*i + 4986977 - 4986979 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -27*k + 2004. Calculate the greatest common divisor of k and 2574.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciciiciiiiiciicii. Give prob of picking 1 i and 1 c.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 + 9. Let f be u(-7). Let a = f + -6. Suppose -a*z = 3, 2*w - 2*z - 18 = -0. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from musyumhmymu. What is prob of picking 1 y, 1 u, 1 s, and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:34 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from xxxxxxxxxxxxwwxxxww?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h - 6. Let b be v(-6). Suppose 2*g - 4 = b. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 3}. What is prob of picking 1 m and 3 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -102245220 (base 6) in base 14?\nAnswer: -34a140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -788468218.7 + 37\nAnswer: -788468181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110160200?\nAnswer: 2, 5, 550801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let a(b) = 5*b**2 + 2*b + 2. Let p be a(-1). Let c(j) = p*j**2 + 2*j**2 - 13*j**2 - j**2. Determine y(c(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iisi when four letters picked without replacement from {s: 4, i: 4, v: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 3*p + 3. Calculate d(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 - 205.8. Let j = 20.1 + -16. Let f = j - 4. Which is the nearest to s? (a) 2\/5 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y**2 + 7*y + 4. Calculate r(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 92887920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59212 + 0.3.\nAnswer: 59212.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*z + 14, 9*z - 13*z - 14 = -k. Factor -5*b**k - 20 + 2162*b + 0*b**2 - 2182*b.\nAnswer: -5*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 37497118.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1.31, 1070, -3, 3.2, 5, 0.3?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let f = -5 - -1. Let g(p) = 5*p. Let t(y) = -2*y. Let o(w) = 13*w + 2. Let l be o(-1). Let z(d) = f*g(d) + l*t(d). Determine n(z(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 156882452.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145513 (base 6) in base 10?\nAnswer: -14229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1204 - 21.6396. Let i = h - -17.6. What is i rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105.32 - 121.1. Let y = z - -0.88. Let q = y + 15. Put -5, q, 0.5 in decreasing order.\nAnswer: 0.5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77307884439\/1765 - -43800499. Let m = -1\/706 + f. Calculate the common denominator of m and -57\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 - 6*u + 19. Let a be 0\/1 + -4*(-7 - -4). Is p(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/9 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134076 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -44 - 90) + 37.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(171)\/sqrt(441) + ((2*sqrt(171))\/sqrt(9))**2)*2.\nAnswer: 10*sqrt(19)\/7 + 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -267*c - 21631. Determine r(-81).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.598650123 to two dps.\nAnswer: 23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 273 + 3*a**2 - 10*a**2 + 5*a**2 + 17 + 107 in the form k*a + j*a**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/5 - 7*p**3 - 258*p**2\/5 - 128*p - 416\/5 = 0. What is p?\nAnswer: -26, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*o**3 + 2162*o**3 - 949*o**3 - 64*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -45*h**5\/4 - h**4\/12 - 1108*h**3\/3 + 7300*h**2. Differentiate i(f) wrt f.\nAnswer: -1350*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1159, 3377, 7083, 12277, 18959, 27129?\n\"Answer: 744*o**2 - 14*o + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -194*g**2 - 922*g + 199. Calculate s(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 20*z**2 + 9*z - 17. Let x be b(7). What are the prime factors of (-2568)\/(-16)*(-1 - x)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 + 7 = 3*k, -80 = -3*d + 4*k. Let s = d + -16. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 42*t - 137. Put 6, t, -12, -1 in decreasing order.\nAnswer: 6, t, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-34)*y))**28*(y*y**(2\/17)\/y)**(-8\/3) assuming y is positive.\nAnswer: y**(47108\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 20416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -536*l + 443*l + 279. Let w(v) = -4*v**3 + 3*v**2 - 4*v - 9. Give w(l).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28192\/40 + 2 + 18\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 6 - 38*g**4 + 2*g - 5*g + 3 + 37*g**4 in the form r + x*g**4 + t*g**3 + z*g**2 + f*g and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((6*sqrt(432)*4)**2 - sqrt(432)))*-2.\nAnswer: -497672 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18339 rounded to 3 dps?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166147811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5*(24\/(-20))\/2)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914973906?\nAnswer: 2, 22787, 42019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16102601953\/1477 - -10902236. Let j = -2\/211 - v. Which is the second biggest value? (a) j (b) -0.5 (c) 2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 13965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/1858440 and -25\/12823236.\nAnswer: 128232360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let b = l + 0. Solve -b*z = 3*u - 30, u = 4*z + z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*v + 3. Let b(d) = 2*d**2 - 2*d**2 + d**2 - v*d**2. Let z(p) = -2*p**2. Determine z(b(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*c - c - 5*c)*(-4 - 3 + 5) - 2*c + 3*c + c - 4 + 4 + 2*c)*(-3 + 2 - 2)*(c**2 - 3 + 3).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.19998 millennia?\nAnswer: 419.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50009975 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 89*f**2 - 210*f + 5490. Let v(j) = -18*j**2 + 42*j - 1098. Let s(t) = 2*a(t) + 11*v(t). Find the first derivative of s(y) wrt y.\nAnswer: -40*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 206*n + 38798. Let a(q) = -8*q**2. Give j(a(z)).\nAnswer: -1648*z**2 + 38798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 15*u + 47. Give s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 220632880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**8\/1344 - a**7\/280 - a**6\/240 + 83*a**2. Factor p(w).\nAnswer: -w**3*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let a(b) = 6430*b. Give k(a(g)).\nAnswer: -41344900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 1. Let i(p) = 114*p**2 + 4 + 2 + 95*p**2 - 318*p**2 + 6*p + 110*p**2. Let w = 4 + -3. Determine w*i(u) + 4*l(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 90 - 94. Is -4\/61 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in 116, -63\/5, 2\/13, -2?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 204*a + 11360.\nAnswer: -2*(a - 142)*(a + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 13190 = -31805. Let w = 20263 + i. Let f = w + -6553. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-5)\/f))*f**(1\/5)\/f)**(1\/10))**44 assuming f is positive.\nAnswer: f**(-748\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = 7. Let n = 5164 + -5164. Sort c, n, 44, 5 in descending order.\nAnswer: 44, 5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7836368?\nAnswer: 2, 53, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4993893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 + 2*j - 3. Let u be x(-4). Suppose u*w - 12 = 3*w. Differentiate -4 - w*r**4 - 3*r**4 + 6*r**4 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**2 + 1\/3*q**6 - 1 + 7\/3*q**3 + 0*q**5 + 0*q + 0*q**4. Find the third derivative of i(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(8880*p**3 + 8869*p**3 - 173 - 17741*p**3).\nAnswer: -16*p**4 + 346*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -223*-17\nAnswer: 3791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 12*t**2 + 1108570*t\/3 - 431116\/3 = 0?\nAnswer: -30794, 7\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - -1) + -3 + -1. Put -4, 1, p in descending order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-24))\/(4\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495914?\nAnswer: 2, 247957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 9. Suppose b*h = -h. Solve h*w = -5*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.453 - -0.047. Let c = 15 - 13. Let a = 5 - c. Put n, a, 2 in descending order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:24 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 - 3 + 1 + 1 + (-2 + 1 + 2)*(-5 + 4 + 3) + 1 + 0 - 2 - 2 + 2 - 2)*(2*i**3 + 45*i**2 - 11 - 45*i**2).\nAnswer: -8*i**3 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*t + 80, -2*t + 26 + 4 = 2*x for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*y = -544, 2*a - 3*y = a + 562. Calculate the remainder when a is divided by (30\/12 + -2)*(2 - (0 + -72)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 16*d + 1. Let t be w(4). Which is the closest to t? (a) 1 (b) -9 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 2*i**3 + 12*i**2 - 14*i + 5.\nAnswer: -(i - 1)**3*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16181 (base 9) to base 10.\nAnswer: -11089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50540*n**2 + 14748*n**2 + 21052*n**2 + 14741*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 164\/(-4))*(-7)\/7. What is the greatest common factor of 123 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.166 take away -201479722?\nAnswer: 201479721.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Let y(h) = 271*h. Determine w(y(g)).\nAnswer: 73441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**2 - 3*p + 2. Let f(z) = 13*z**2 - 4*z + 3. Let y be -4 + 49*6\/42. What is y*l(s) - 2*f(s)?\nAnswer: 13*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {m: 3, d: 2, j: 2, s: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -7*r - 72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, e: 7, g: 2}. Give prob of sequence eev.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjccccsccsccscccj. What is prob of picking 1 c, 1 j, and 1 s?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9097*h**2 + 4*h - 13. Is i(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57010903582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 - 23 = 2*c, -4*m = -3*c - 31. Suppose -50 - 58 = m*k. What is the units digit of 2\/9 + 4 + (-3612)\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, e: 3, i: 2, y: 6}. What is prob of picking 1 i and 1 z?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060626 to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 0. Let w(v) = -3*v**2 + 28*v - 43. Let u be w(7). Suppose t = -2*x + u + 48. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 228*p**2 + 234*p - 172. Calculate f(-77).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 376*k - 150 + 378*k)*(-2 + k + 2).\nAnswer: 2*k**2 - 211*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5926*z + 71359. What is a(-12)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 27*p + 12120045 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744162 divided by 872081.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 335*b + 8741. What is u(-358)?\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14144?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12775 - -12774.61324. Let c = t + 0.407. Round c to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -47?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 119\/204)*((-132)\/8 + -3) and -91\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -14 (c) -1\/4 (d) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 34 - 14. Suppose -p*n + 222 = -438. Calculate the highest common divisor of n and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208320076183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (102\/(-2))\/(2\/(-14)). Let y be 14 - 2*(-25)\/(-10). Is 12 a factor of (-6)\/y - j\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*1 - (10 - 7). Suppose -s*k + 15199998 = -q, -q = 3*k - 4*q - 22799994. What is k rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/49 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 10. Let n be g(-7). Let w be (-2)\/(-2) + 2 - n. Put -4, 4, w in decreasing order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c9 (base 15) in base 10?\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(176) + 0 - sqrt(176)) + 2)**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5561?\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5))\/(5\/(20\/4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2299 - 7411 = -414*j + 6436 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418880907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 1370542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let h be l(-1). Let i = -132 - -312. Let o be h\/(-14) + i\/(-42). Which is the nearest to 1? (a) -3 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 9698?\nAnswer: -145470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*99.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99417 and 9858.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605471767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146996 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 3*g**2)*(-2*g**3 - 2*g**3 + 2*g**3) + 2*g**5 + 12*g**5 + 11*g**5 - g**5 + 6*g**2 - 6*g**2.\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47665, -45265, -42865, -40465, -38065, -35665?\n\"Answer: 2400*y - 50065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:51 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 12. Let t be x(-6). Let m(q) = 2*q**3 + 13*q**2 + 4*q - 2. Does 3 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114717 by -649.\nAnswer: 114717\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 12) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3435 - 1329. Calculate the remainder when b is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4.4 (b) -2\/7 (c) 1\/4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(3*2\/234). Let r = u + 471\/4. Let d = -27.5 - -27. Put d, r, -3\/7 in ascending order.\nAnswer: d, -3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -19. Let w = 34373 + -34370. Solve 0 = w*s - 15, -4*s = u - s - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 13 + 5 + 119*q + 38 to the form s*q + t and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x*x\/x**(2\/29))\/(x**(3\/4)*x**10) assuming x is positive.\nAnswer: x**(-559\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3510521 (base 6) to base 8.\nAnswer: -540161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = -9*b - 19*b. Suppose 2*m - k = 443, 3*m + b*m - 671 = -5*k. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - -2761. Suppose m = 6*m - y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 163*l**2 + 479*l + 143. What is n(-160)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 20 = 668*h - 668*h, 2*h - 3*p = 25 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*g**2 + 8*g**2 + g + 9*g**2)*(0 + 0 + 2*g) in the form z*g**2 + k*g**3 + d*g + a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 32*v + 42. Solve -4*p - 20 = v*t, -6*p + 2*p + 20 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*f + 48*f + 529 + 953 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*((sqrt(19) - sqrt(684))*2 + sqrt(1216)*1).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1078) + (sqrt(1078) - (sqrt(1078)*3 + sqrt(1078))))\/(-1*sqrt(1100))*3)**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -5*d, 8 = -4*d - 3*y + 18. Solve -19 + 6 = -s - 4*o, 0 = d*s + 2*o - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 52 = 5*w + 9*a, 0 = -2*a + 6. Suppose 71 = w*h + 55. Solve -2 = -n, 4*n = -h*q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 3109 = -10381. What are the prime factors of p?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117.4 times 3\nAnswer: -352.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61139 from 266.\nAnswer: -60873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3634 - 51660. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36902227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjsjhjhhh. Give prob of sequence sjjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 42 = 0. Suppose -4*y - 19 + 7 = 0. What is the remainder when (-79 + y)*1\/(-2) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in -1, 3\/5, -1\/7, 108?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12300 and 4075.\nAnswer: 2004900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 29318410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-24))\/((84\/8)\/7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*j - j**4 + 117*j + 43 + 39*j**3 - 179 + 66*j - 178*j**2 + 0*j**4.\nAnswer: -(j - 34)*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+3826\nAnswer: 3829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 6. What is the tens digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113362825 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from {f: 4, p: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 22. Let k = -79 - -104. Let g be j(k). Solve -y - g = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from yyyeyyeyuyuyy.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/4 (b) -0.1614 (c) -3\/8 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 6*t - 5*t + 46*t - 14*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 8, -13, -64, -157?\n\"Answer: -2*n**3 + 3*n**2 + 2*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 22 - 22 - 29.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-420)\/(-16))*5\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-68)\/(-12) + -5)*(-15)\/(-2). Suppose -3*u + 9 = 5*d - 0, -3*d = -v*u - 19. Suppose -3*k - k - 2*i = -38, i = 4*k - 23. Solve d*p + 8 + k = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17023, -68042, -153073, -272116?\n\"Answer: -17006*b**2 - b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by -3329829.\nAnswer: 130\/3329829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.238 + 29.338. Which is the nearest to -175? (a) 0.2 (b) 2 (c) z (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 0*o**2 - 31 + 11 + (-1 + 4 - 5)*(5*o**2 + 10 - 10) to i + r*o**2 + n*o and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 - 79*g**2 - 1368*g**2 + 5*g**3 + 126 + 214*g**2 to the form x*g**2 + r*g + f + o*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6091, -12176, -18265, -24358, -30455?\nAnswer: -36556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**4\/k)*k))\/(k\/k**(-2\/13)*k))**(-45)*(k**0)**(4\/17)*k\/((k*k**(-5)\/k)\/k)*k*(k*(k*(k\/(k**(1\/8)\/k))\/k)\/k)\/k assuming k is positive.\nAnswer: k**(1643\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/140 and 72\/875?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37451, 74901, 112351?\n\"Answer: 37450*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/738 and 61\/14268?\nAnswer: 42804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 147183400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11434 - 7816 = -751*b - 9149 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 102 = 10*q. Solve q*v = 15*v - 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 4, b: 1}. What is prob of picking 1 s and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 - 3*u - 9. Let m be b(-4). Put m, -2\/13, -2\/5, 2\/5 in descending order.\nAnswer: m, 2\/5, -2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 106*f - 23 = -q, 0 = f + 3*q - 3 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4906\nAnswer: 1\/2453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:57 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**(12\/11)\/((f*f**(1\/4)*f*f*f*f)\/f)**(-32))**22 assuming f is positive.\nAnswer: f**2976","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/3)\/1)\/(24\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/7)\/i)\/i)\/i)**(-2\/91)\/(i**0)**(1\/2)*(i**(-2\/11)\/i**(-1\/4))**(-6) assuming i is positive.\nAnswer: i**(-5205\/14014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 5*v = 9535, j = -5*v + 9565. What is j rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36189 is divided by 358?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7075 + -2929. Calculate the lowest common multiple of 8 and y.\nAnswer: 16584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12919873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 1563d42?\nAnswer: 1563d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6904031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + 9, -3*h = 2*i. Solve -2*q + 4 = -h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 = -104*l + 127 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1124.602 (c) -3 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 13. Suppose -2*i = o*z - 12, 3*i - 11 = -3*z + 1. Solve 0 = -5*y + 2*y - 4*n, 0 = -z*y - 5*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l**2 - 529*l + 6885. Determine b(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:31 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*n + 15 = 1523*n, -4*w = -3*n + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*q = 94*q + 2*l - 4, -4*q - 5*l = -28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 5. Let u be p(-15). Let g = -2 - u. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-12) + (-308)\/(-16). Is (-9411)\/(-12) + 15\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 105*u**3 - u**2 - 172*u + 15. Let n(z) = 107*z**3 - 2*z**2 - 174*z + 17. Let v(l) = -6*d(l) + 5*n(l). What is the second derivative of v(a) wrt a?\nAnswer: -570*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o*q**2 - 2*o*q*t - o*q - 5*q**2*t - 2*q*t - 11*q - 5*t**2 wrt t.\nAnswer: -2*o*q - 5*q**2 - 2*q - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 14*g = -8. What is the second derivative of 10*m - m**4 - 4*m + 13*m + 0*m**g wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 23 + 11)*(3*v + 0*v - v)*(2*v + 0*v + 0*v)*(4*v**3 - 2*v**2 + 2*v**2).\nAnswer: 208*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 44*j**2 + 6*j + 40. Let x(l) = 134*l**2 + 17*l + 121. Let b(z) = 17*k(z) - 6*x(z). Differentiate b(a) wrt a.\nAnswer: -112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d6 (base 14) to base 16.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364.39326248 - 207.\nAnswer: -571.39326248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*w**2\/4 - 363*w\/4 - 3\/2 = 0. What is w?\nAnswer: -2\/123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let f(b) = -b**3 + 2*b + 1. Suppose -18 + 25 = 7*d. Give d*f(n) + j(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2886, 23753, 80394, 190701, 372566, 643881, 1022538?\n\"Answer: 2982*u**3 - 5*u**2 + 8*u - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90165067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 15 = 728*w - 731*w, 2*w - 2*h = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6519 divided by 6\nAnswer: -2173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*p - 4. Suppose 2*o + 5*l - 24 = 3, -p*l = -2*o - 3. Let u(f) = -o*f - f + 6*f. Let r(a) = -3*a**2. Give u(r(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (260\/25)\/(7*(-4)\/(-98)*(-98)\/(-70))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 624259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95622*n**6 - 10*n**5 + 73*n**2 + 2280*n + 4 wrt n?\nAnswer: 11474640*n**3 - 600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 249 (base 11) to base 9\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekzyy. Give prob of sequence yz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.02\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 907.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 47*p - 45*p - 528, 5*p - 436 = 4*j. Let m(n) = -12*n - 3. Let b(o) = -204*o - 52. What is j*m(q) + 6*b(q)?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*(-20)\/(-12))\/1. Let v(r) = -r**2 + 6*r + 5. Let y be v(j). Let z = y + 4. What is the least common multiple of z and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 168\/(-432) + (-9)\/63 + (-38)\/126. Which is the second biggest value? (a) -0.2 (b) x (c) 0.8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022133 - 3330122?\nAnswer: -11012321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 13*x - 10, n - 1604 = -4*x. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-1))**(-4)*x**(2\/11)\/(x\/((x*x**(2\/7)*x*x)\/x)) assuming x is positive.\nAnswer: x**(-1119\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*k - 154842 = -4870*k - 970*k + 219609 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -711.9\nAnswer: 284.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(2\/9))\/s*s)**(1\/9)\/(((s\/(s**(-1\/2)\/s)*s)\/s)\/(s**(-2\/7)*s)))\/((s**6*s)\/(s*s**(-3))*s**(2\/15)*s**(-1\/4)) assuming s is positive.\nAnswer: s**(-118747\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 91, 231, 433?\n\"Answer: 31*l**2 - 15*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12357 - 65055 = 2620*u + 33762 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -63\/73 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 170.2 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*9\/(-45)*3\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 divided by -680?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4240\/9 - 471. Calculate the common denominator of j and -1 - -2 - 126\/66.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 2755*z**2\/4 + 689*z\/4.\nAnswer: -z*(z - 689)*(4*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxpxxxxxxp. Give prob of picking 3 p.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -164, -324, -574, -944, -1464?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556718520 to the nearest integer?\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 5870342.8617.\nAnswer: 5870342.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -372*v**2 - 100*v + 19 + 2392*v**4 - 236*v**3 - 2408*v**4 + 33 = 0?\nAnswer: -13, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -a + 697, 27*w - 4*a - 409 = 24*w. Let z = w - 137. Factor 0 - 2\/7*c + 1\/7*c**z + 2\/7*c**3 - 1\/7*c**4.\nAnswer: -c*(c - 2)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2914 divided by 2.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(18)\/sqrt(3))\/(-5*sqrt(9)\/sqrt(3) + sqrt(3)) - (sqrt(120)\/sqrt(3))\/(sqrt(5) - (sqrt(5) + 1*sqrt(180))))*-4.\nAnswer: 110*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 4. Let u(a) = 2*a + 12. Let w be u(-8). Let b(p) = 2*p**2 + 2*p + 9. Calculate w*b(x) - 9*d(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-72)\/312)\/(66\/(-143)). Let t(u) be the second derivative of d*u**3 - 42*u - 5\/2*u**2 - 1\/20*u**5 + 0 - 1\/3*u**4. What is t(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4458 and 717525.\nAnswer: 1066242150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - (5 + (2 - 4) + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49244 = -34*d + 388292. List the prime factors of d.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -671 by 2.\nAnswer: -671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = -7*l. Let c(i) be the second derivative of -i**3\/6 + 68*i. Determine c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 5*i. Suppose -3*u - 5*b + 7 = -0*b, i*u - 2*b = 35. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 - 1) - 6) + (14 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)\/o)\/o*o\/(o**15*o*o) assuming o is positive.\nAnswer: o**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 18*q + 13. Let t be h(10). What is the third biggest value in t, 4\/5, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 + 9*y - 1. Let x = 14 - 8. Let j(f) = 4*f**3 + f**2 - 8*f + 1. Let k(m) = x*j(m) + 5*d(m). Calculate k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*j + 3368, 3*j = -2*h + 3*h - 852. Let k be (-2)\/(-14) + 822\/h*10614. Let m = 10378 - k. Calculate the common denominator of m and 3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 divided by 33965?\nAnswer: 746\/33965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319363 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/16 + (-35)\/(-20). Suppose 4*f - 5*q - 9 = 0, -3 = 5*f - 7*f + q. Sort w, -2, 8, f in increasing order.\nAnswer: -2, f, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 32 = -3*d, -5*d - 1486*c - 43 = -1490*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217438, -1739535, -5870936, -13916293, -27180258, -46967483?\nAnswer: -74582620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)\/m)\/(m\/(m*m*m\/(((m*m**(-2\/5)\/m*m)\/m)\/m*m))))\/(m\/(m\/((m*m\/m**(-4\/5))\/m)*m)*m**(-2\/5)) assuming m is positive.\nAnswer: m**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1784*i + 289*i + 536*i to the form t*i + l and give t.\nAnswer: 2609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 8*p**2 - 11*p - 7. Suppose -5*f + 3*l + 750 = -0*f, -3*l + 600 = 4*f. Let n be 10*18\/f*5. Give o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((4 - (-3 + -11) - -3) + (155 - 164))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**3 + 16*s + 16. Suppose 0 = -q + 2*b - 2 - 4, 3*q + 5*b = -73. Let a(f) = -f**3 - 3*f - 3. What is q*a(m) - 3*i(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n - 211. Give y(-26).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -3, -28 in decreasing order.\nAnswer: -2, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25785 and 4005315?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6560414328.\nAnswer: 2, 3, 13, 257, 81817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115929 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-5) + -2 + 14. Suppose 0 = -j - h + 11. Suppose j*y - 64 = -4*w, -2*y + 5*y + 4*w = 86. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*(sqrt(2736) + -1 + sqrt(2736))*2 - (1 + -3*(-2*sqrt(2736) + sqrt(2736)))))**2.\nAnswer: -240*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -831 divided by -1292.\nAnswer: 831\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011011001001 - 10011111?\nAnswer: -1101011101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 47657?\nAnswer: -47653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 - 1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1071 - -1071. Sort j, -1, 3, 1 in ascending order.\nAnswer: -1, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 436*r**3 - r**2 + 2*r**4 + 14*r**3 - r**2 - 56 to the form n*r**2 + a + g*r**4 + j*r**3 + i*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 + 3*p - 1. Let x be u(3). Let y = 11 + -25. Let r = y + x. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*t = 2*t - 72, -3*w - 2*t + 50 = 0. Let a = 3 + 0. Suppose -41 = -a*j + 34. Calculate the remainder when j is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 2. Let u(q) = -q**2 - 1. Let r(k) = s(k) - 2*u(k). Let o(w) = 3*w - 4*w + 0*w. Give o(r(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19*s**3 - 38*s**2 - 19*s + 126. Give y(3).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30276 (base 8) to base 3.\nAnswer: 122010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (0 + sqrt(32))) + (-6*sqrt(8))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 1. Let i be n(-1). Suppose 0 = -4*k + k - 3*z + 570, 760 = 4*k + z. Suppose k = 5*p + i*m, p + 2*m = 5*m + 26. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1173538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {d: 3, q: 3, b: 1, m: 1, y: 1, x: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317733 is divided by 329401?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 3, m: 2, o: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*(-18)\/(-3). Let x be ((-60)\/(-9))\/(s\/(36\/8)). Solve -3*a = -2*y - x, -4*a - 2*y = 2*y - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10242948*z + 2*z**2 - 6*z**2 + 10242953*z + 14*z**3 - 5*z**2. Let p(f) = -5*f**3 + 3*f**2 - 2*f. What is -11*p(x) - 4*w(x)?\nAnswer: -x**3 + 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640 divided by 40?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4400)\/1100)\/((((-4)\/(-1))\/(-2))\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 961684693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9561, 9528, 9509, 9510, 9537, 9596, 9693?\n\"Answer: w**3 + w**2 - 43*w + 9602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 2433.74.\nAnswer: 365.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 41. Suppose -197*w + 746 = -830. Calculate the least common multiple of o and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 16. Let m(a) = 2*a - 3. Determine -c(w) + m(w).\nAnswer: -2*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -61, 62, -4, 13, -1.\nAnswer: -61, -15, -4, -1, 13, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -708 - -705. Which is the closest to 1\/2? (a) v (b) 135 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184328, 185530, 186734, 187940?\nAnswer: 189148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -149*o**4\/24 + 4*o**2. Let y(t) = 933 + 2*t - 933. What is y(w(u))?\nAnswer: -298*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1222226*l - 34. Let i be t(9). Round i to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-21)\/(-9))*6. Let j(f) = 2*f**u - 4 + 3 + f + 2. List the prime factors of j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 20*t - 16. Calculate j(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66 - (-9)\/((-18)\/4). Calculate the highest common factor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -410*k + 1. Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3919371 + 5?\nAnswer: 3919376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.54*-0.2\nAnswer: 0.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678926, 678919, 678914, 678911, 678910?\nAnswer: 678911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) + 0)*-4)**2 + -3 - ((sqrt(392) + (sqrt(392) - 2*sqrt(392)) + sqrt(392) + sqrt(392))*5)**2*2.\nAnswer: -72131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315986001 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 - x + 1. Let j(c) = 2*c**3 - 5*c**2 - 3. Let u(m) = j(m) + 5*n(m). Let h(o) = -3*o**3 - 6*o + 2. Give 5*h(v) - 6*u(v).\nAnswer: 3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -0.5, -53\/2, 0, -4\/7, 0.02?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:29 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**3\/3 - 11*b**2\/2 - 4*b - 6. Let m be u(12). Let n be (2 + (-20)\/m)*10. Is n < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32354 + -32340. Suppose 0 = -3*f - 2*f. Suppose -22 = -d - f*d. Calculate the least common multiple of o and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100322331020 (base 4) to base 6\nAnswer: 235024012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h - 55. Let a be s(-8). Let x = -81 + a. Solve x*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 229. Suppose -2420 = -v*i + 468. What is the greatest common factor of 532 and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6)*(38 - (-7686)\/(-210))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + (-4 - 3) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 95*b**2 - 5*b - 339. Let c be x(-95). What is the greatest common divisor of 1853 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:50 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a micrometer in nanometers?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6972083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 52. Suppose 3*c = -k*g + 5*g - 8, 4*c + 4*g = 0. Suppose -2*m = c*q - 0 - 10, 2*m - 4*q - 2 = 0. Solve 2*y = m*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let c(k) be the third derivative of k**6\/30 + k**5\/60 - k**4\/4 + k**3\/2 - 8*k**2. What is the remainder when c(h) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*c - 3320 - 1082 = -6*c. Calculate the highest common divisor of 899 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r - 28. Let t be 2 - 1 - (-18)\/r. Let l = -0.05 + -0.35. Sort t, l, -2\/11 in decreasing order.\nAnswer: -2\/11, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 - 4*x**2 + 11*x**3)*(5*x + 7*x - 2*x) + 0*x**4 + 2*x**4 + 0*x**4 in the form m*x**4 + k*x + n + y*x**3 + u*x**2 and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obb when three letters picked without replacement from {t: 1, o: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 16*g**2 + 15*g + 13. Let w be q(15). Suppose -4 = 9*m - w. Let y(h) = -10*h**2 - h + 1. Determine y(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 1\/2 (c) 1.5 (d) -0.06 (e) -2 (f) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 5*m + 4*m + (2*m + 0 + 0)*(1 - 3 + 0) + m + 0*m + 0*m)*(-m - 1 + 1)*(-5*m + 18 - 18) + (m**2 + 0 + 0)*(-4 - 2*m + 4) + 0*m**3 + 4*m**3 - 3*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16164097 to the power of 1\/2, to the nearest integer?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let s(y) = 7*y - 80. Let f be s(12). Suppose 0 = 5*u - f*u - 18. Calculate the highest common factor of c and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 = -0*d. Let z = -192.09 - -192. Which is the smallest value? (a) d (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 - ((0 - -1) + -1). Let q be -3*(n\/9 + -2). Calculate the common denominator of 12\/11 and (-166)\/(-8) + q\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 11*a - 3. Let d be g(-5). Suppose 3*t - 9 = d*t - 3*i, 2*t = -3*i + 9. Suppose 4*u - o = 628, -3*o + 144 = u - t*u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12, 0 = 4*r - 5*w - 5 - 0. Suppose -x - 5*o - 95 = -6*x, -r*x + o + 103 = 0. What is the remainder when 49 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398441875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32070 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11226 + 18042. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h + 6*h + 0*h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (66 - 34) + -14 + 2 + 1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 31 = 4*u. Let a be (35 - (2 - 1))*5. Suppose -2*k + a = 3*k. Solve 5*h - u = -k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 355\/4. Let d(z) be the second derivative of 0*z**5 + r*z**4 + 0 - 1\/15*z**6 + z + 0*z**3 + 0*z**2. What is the third derivative of d(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46529e (base 16) to base 14.\nAnswer: 87d78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*(6\/(-2))\/(-15)*3842\/1921\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1100) - (sqrt(1100) + ((sqrt(1100) + 4 + sqrt(1100))*-3)**2)) + -5*sqrt(1100)*-3).\nAnswer: 1290*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 495\/8 not equal to 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263780 and 1044220.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19517, -39034, -58551, -78068?\n\"Answer: -19517*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*b = 3*g + 384*b - 29, 4 = -b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.76 - 29.76. Let f = 45 + -45.2. Which is the closest to 1? (a) n (b) f (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137504 (base 10) to base 11.\nAnswer: 94344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132062, -131571, -131080, -130589?\n\"Answer: 491*o - 132553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5724552 divided by 3\nAnswer: 1908184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/3 of a week?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -511 - -626. Calculate the lowest common multiple of p and 2.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g - 20. Let n = -464 + 35725\/77. Let t = 115\/1001 - n. Which is the second smallest value? (a) -4 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 2474656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11517263 is divided by 81?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285057 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 106*t**2 + 44*t + 1773. Is x(-52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25555 (base 12) in base 4?\nAnswer: -30123101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(2) - (sqrt(210)\/sqrt(7) - sqrt(30))*4)\/((sqrt(588)*-2)\/(2*sqrt(288) - sqrt(2))).\nAnswer: -23*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*z + 3077 + 13447. Sort z, -3\/35, 0.\nAnswer: z, -3\/35, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 25 = -185 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 + 0*k**2 + 3*k**2 + 4*k**2 - 5*k**2 + 2*k**2 + 1 - 1 + (-2*k + k - k)*(-3 - 2*k + 3) - 2*k**2 + 4*k**2 + 0*k**2)*(39*k - 39*k + k**2).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30894673 and -3.9.\nAnswer: -30894676.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (135\/4)\/((-23912)\/(-1568)). Is b less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)**2 + -3 + (sqrt(7) - -2*sqrt(63)).\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/29, -68, -0.5 in increasing order.\nAnswer: -68, -0.5, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3515?\nAnswer: -1\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 202018088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 1\/4*x**4 - 2\/3*x**3 + 1\/30*x**5 + 31*x**2 + 0*x + 0. Let h be k(-10). What is the greatest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**3 - 6*m**2 - 14*m - 4. Let h(l) = 7*l**2 + 3*l + 3. Let f be h(-1). Is u(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 2 - 26)*(0 + 3 + 4*c - 2*c).\nAnswer: -78*c - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d9 - -24?\nAnswer: -17b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029469 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/2 (c) -4 (d) 1\/1020\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + a = -71236, 3*l - 5*a - 73434 = -20024. List the prime factors of l.\nAnswer: 2, 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.8011516 and -587.25?\nAnswer: 585.4488484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-225))\/(2\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -w + 19, -w - 4*w = b + 1. What is the tens digit of 4\/(-22) - (2138\/22)\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 9 + -38 + 13 + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -68 = -2*g - g - 4*j, 2*g + o*j = 42. Solve 3*h + 6 = 3*l, 0 = 3*l + 3*h - 8*h - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68a (base 12) to base 8.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13208.0395 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) -0.086 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2 - 20*x - 4587. Let d(b) = -39*b**2. Calculate h(d(k)).\nAnswer: -78*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 7 - 7)*(-4*i + 4*i - 8*i**2 + 0*i**2 - 2*i**2 + 0*i**2 + (3*i + 2*i - 3*i)*(1 - i - 1) - 2*i + i**2 + 2*i + 2*i**2 - i**2 - 2*i**2).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20751978 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 - 118 = 0. What is the remainder when (-27)\/12*m\/3 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017759979 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*w - 9 = 261*w. Let c(a) be the first derivative of 3\/8*a**4 - 1\/3*a**3 + 0*a**2 + w + 0*a - 1\/10*a**5. Let c(f) = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 78*q. Let f(a) = 4*a. Calculate c(f(s)).\nAnswer: 312*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 3*r**2 + 2. Let z be o(3). Factor w**2 + z*w + 0*w**3 - w**3 + 3*w**4 - w**2 - 3*w**2 - w**5.\nAnswer: -w*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6255 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 + 32*g**2 - 3 + 3.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m + 23. Let y(r) = 2056*r. Give j(y(x)).\nAnswer: 51400*x + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/11*-5 + 12*(-57)\/(-76).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2*h - 20. Suppose -c = 4*k - 3*c + 290, 2*c = -k - 60. Let g = k - -76. Let z be t(g). Solve 3*i = -z + 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 + x - 3. Let q be s(-3). Let g(y) = 2*y**2 - 12*y + 2. Let l be g(6). Which is the third smallest value? (a) q (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(1949*z + 2151*z + 39 - 7653*z + 1932*z + 2123*z).\nAnswer: -502*z - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.917997 days in seconds?\nAnswer: 79314.9408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58945*h**3 + 58899*h**3 + 58903*h**3 - 176749*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l + 71. Let s be o(10). Let b be (15\/s)\/(1\/(-3)). Solve -q - b = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, p: 3, q: 6, o: 1, m: 1, t: 1}. Give prob of picking 2 p and 1 m.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 5. Let r be l(0). Suppose 2*j - 3*d - 3 = 0, j = -4*j + 2*d + 13. Suppose -b = -2*n - 0 - 2, -n = j*b + 1. Solve b = -r*i + 1 - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 + 3129*n**2\/2 + 12484*n = 0. Calculate n.\nAnswer: -3121, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/1265 + 15911\/15180. What is the common denominator of 25\/64 and o?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -37 (c) -3\/19 (d) 74.5 (e) 6 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 3 = 22*t. Let y(a) = -4 - 6 - 34*a - 4 + 26*a. Let h be y(t). Solve 0 = -4*f + h + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692.0307 hours to microseconds.\nAnswer: 2491310520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-13))**(-10\/17))**21)**(2\/5) assuming l is positive.\nAnswer: l**(1092\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 30 = -5*h. Suppose -z + h*n - 29 = 0, -3*z + 7 + 6 = 5*n. What is the lowest common multiple of 20 and (-1 + 29)\/(z + 6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**3 + 1128 - 24*p**3 - 370 + 37*p**3 + 738 to the form k*p**2 + n*p**3 + m*p + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-63) - (-114748)\/(-234)) + -2. Let k = -492 - h. Which is the third smallest value? (a) -0.1 (b) -5 (c) 6 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/139 in -2\/9, -2, 0.4, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*v - 2274 = -104 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152124, 152161, 152166, 152121, 152008?\nAnswer: 151809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 23. Suppose -g*z = -16*z + 9. Let x = 239\/4 - 60. Sort -1, x, -0.3, z in descending order.\nAnswer: x, -0.3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwwwwwwtwwwtwwww. What is prob of sequence wt?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8 - 0. Let r(j) = 16*j - 3 - 16*j + 1 - 3*j**2. Let c(g) = -7*g**2 - 5. Let v(t) = f*c(t) - 5*r(t). Let n(i) = -2*i**2. What is v(n(x))?\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 6) to base 14.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2 + 0 - 6*y + 7*y. Let i be w(8). Suppose -2*u + 2*b - 2 = -0, -5*u = -4*b + 1. What is the greatest common divisor of u and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/7 (b) 1 (c) 0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28341 by 19.\nAnswer: -28341\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5897160 and 157\/90.\nAnswer: 5897160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 + 10 + (-6 - 2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.81987 litres in millilitres?\nAnswer: 62819.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 + 7233 = 12*o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365\/(-364)*128\/440?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4419\/(-4910))\/((6\/5)\/((-60)\/(-40)))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5003, 4886, 4723, 4526, 4307?\nAnswer: 4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -686 - -1661. Which is greater: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-47500)\/60)\/(-25) - 30\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(28\/4))\/(9\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/40)\/(-9))\/((-334)\/(-4175))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19928)\/(-658)*8\/36*-3*(-84)\/(-48).\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 + 6*j + 14. Let s be t(8). Let f = -33 - -36. What is the third smallest value in s, -81, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 60565 + 12429 = k, -7*k = 3*q - 36040. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -441, -5, 0.04, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 - 9*p**2\/2 - 5*p - 2. Let w be m(-8). Differentiate -1 - w - 2*r**3 + 7 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1340 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 16.99999937. What is w rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 153?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*b + 34909 = -1145*b - 29281 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51479 <= 51481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10*(-4)\/6)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -52 (b) 2 (c) -1\/99 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4620412622 - 1?\nAnswer: 4620412621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (31 - 15) + 9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -61*w**4\/6 + 17*w**3\/6 - w**2 - 20*w + 2. Find the second derivative of v(m) wrt m.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - (-4)\/6. What are the prime factors of (c - 0)\/(3\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9122 is divided by 198?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riiririirrrrririiir. Give prob of sequence iiir.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -952 - -990. Solve -h - 4 = -7*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.779332.\nAnswer: 1.558664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*h = 763, 5*h - 96 = -2*j + 323. Calculate the remainder when 964 is divided by j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.408 + 0.4078744. What is a rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -703, -1053, -1403, -1753?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 + -3.1. Which is the third biggest value? (a) -2\/17 (b) p (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45072554045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 2*d**5 - 2*d**5 + (-29 + 54*d**2 + 29)*(2*d**2 - 2*d**2 + 2*d**3).\nAnswer: 106*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 1150*l + 10263. What is v(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720601 is divided by 608.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242 = 181*a + 622*a - 206*a - 16862 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (75 - 46) - (-3 + -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5dc + -de?\nAnswer: -6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 45338.\nAnswer: -17\/22669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 7*m + 6.\nAnswer: (m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 86 - 52 - j)*(-511 + 511 - 77*j**4).\nAnswer: -77*j**5 - 2618*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101343243 (base 5) to base 2.\nAnswer: 1100110001100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 3*o + 28, 4*x = 5*o + 56. Calculate the remainder when 95 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*(-10)\/(-16)*822\/3425?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2197 and 478140.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:59 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -10023100013?\nAnswer: 10023100103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0 + 0)*(q - 3*q + q) + q**2 - 9*q**2 + 2*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.103 millilitres in litres?\nAnswer: 1.140103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1620.0004068 + 1620. Round r to five decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46\/5 + 342\/35. Find d, given that 4\/7*d + 0 - v*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kfkkfcckccffeckckc.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (103 - 50) - 16.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + 0*g)*(g**2 + 1 - 1) - g**3 - 4*g + 4*g - 5*g**3 - 3*g**3 + 3*g**3 + 2*g**3 - 4*g**2 + 4*g**2 as q*g**3 + s + v*g + h*g**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 5:32 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, 0.1, 1, 2\/525?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 13*l**2 + 2*l**4 - 11*l**4 + 7*l**4 + (l + 2*l - 2*l)*(-l + l + l**3).\nAnswer: -l**4 - l**3 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeeyye?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 4*b + 4. Let a be t(3). Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63296 divided by -43.\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 772, 1452, 2152, 2878, 3636, 4432?\n\"Answer: x**3 + 4*x**2 + 661*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370974 is divided by 122141?\nAnswer: 4551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.4, -56?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457 - -467. Solve 13*x = 11*x - z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/240)\/(36\/(-20)). Let q(d) be the third derivative of 0*d**3 + 1\/60*d**5 + 0*d - 5*d**2 + 0 - l*d**4. Factor q(j).\nAnswer: j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 196?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 225269\nAnswer: -1\/20479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*o + 1591*o = 31200 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 18 + 0)*(-5*d**3 - d**4 + 2*d**4 + 0*d**3).\nAnswer: 28*d**4 - 140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22242, 44273, 66304, 88335, 110366, 132397?\nAnswer: 154428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*i - 4*v, 3*i + i = v + 56. Let m be (0 + 1)\/(2\/i). Let t = m - -28. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 15*l - 1. Let c(q) = q**2 + 17*q + 1. Let b = -177 + 171. Let t(o) = b*c(o) - 7*m(o). Let f be 2\/2*3*-1. Determine t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64024?\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 + 12) - (-1 + 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/17 + -7\/102. What is the third biggest value in 1, -5, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*d - 34, -1 - 4 = -2*d + 5*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -436915?\nAnswer: -436921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 1\/432?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 + 104 = 6*q. What are the prime factors of (q\/(-8) + -7)\/(1\/(-12))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -331. Calculate the remainder when a is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*z = 7*l - 6*l, -4*l = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {s: 2, l: 1, x: 1, p: 7, n: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 + 7*m**2 - 2*m + 1. What is the tens digit of n(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(1\/23))\/v)\/((v\/((v*v**(-27))\/v))\/v)*(v**(-16))**(-3\/2) assuming v is positive.\nAnswer: v**(-47\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cececcxxr. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52534 - -143539. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 5*w - 153 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1bb8 (base 13) to base 14\nAnswer: -1767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 8. Let r be x(-5). Which is the closest to 0.1? (a) 0 (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9422 and 23\/9422?\nAnswer: 9422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140040 rounded to the nearest 10000?\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/15*13\/(-182)*7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -46.1, 6\/5, -0.19, 0, -2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*w - 67 + 110*w**3 - 486*w - 67 + 133.\nAnswer: 110*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**3 - 2*z**2 + 4*z - 2. Let y be s(2). Let f = y - 58. Which is smaller: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 + 9 + 4*i**3 - 7*i**2 + 0*i**3 - 14*i**2 + i - 3*i**3 to g*i + f*i**3 + v*i**2 + s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**2\/8 + 1335637*m\/8 - 267127\/4 = 0.\nAnswer: 2\/5, 267127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26032150, 26032151, 26032152, 26032153, 26032154, 26032155?\nAnswer: 26032156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*h - 4*p, -h + 2*p + p + 8 = 0. Sort 5, h, -2.\nAnswer: h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004 plus -252?\nAnswer: -251.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 242?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -997920 divided by -199584?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -708 - 4?\nAnswer: -70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let l(h) = 4*h + 2. Let c be (-45)\/(-5) + -15 + 8 + 0. Determine c*v(i) - l(i).\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 24 = -3*x, 5*x - 5*k = 831 - 771 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - -76)*(-2)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 33 - 7. Suppose -36 = 13*c - 22*c. Let f = c + 18. What is the smallest common multiple of a and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34001, 2, -2\/7, 1, -3 in ascending order.\nAnswer: -34001, -3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(0*j**2 + 0*j**2 - j**2) - 5 - j**3 + 5 + 4*j**3 + j**3 - 2*j**3 + (0*j + j + j)*(0*j + 0*j + 2*j**2).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24527 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033102100 (base 6) in base 4?\nAnswer: 222031211310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723968 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*i = 268*i - 292*i - 595. Let a(r) = 3 + 0 - r + 0*r**2 - r**2. Calculate a(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/7)\/(162\/(-84) - -2). Let l be -2 - (2\/6)\/(5\/r). Suppose a = -4*c + 34, 0 = -0*a + 4*a - 8. Solve -c + l = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 15) to base 14\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -12*z**2. Let y(g) = -132887*g**2. Give x(y(p)).\nAnswer: -211907457228*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o - 3. Let a be q(-4). Suppose -5*t = 4*b - 0*b - 46, a*t - b - 26 = 0. Suppose 3*r - r = -t. Sort 0, r, 3 in ascending order.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/20 - (-13)\/(-2). Let y be 0 + (2 - n\/(-6))*3. Factor 2*s**2 + 18*s - 100 + 29*s - 7*s - 6*s**y.\nAnswer: -4*(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560, 550, 518, 452, 340, 170, -70, -392?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -631*m**4 - m**2 + m - 102. Let x(h) = h**4 - h**2 + h - 1. Let l(v) = s(v) - x(v). Differentiate l(r) with respect to r.\nAnswer: -2528*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - (-1)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2\/4 + 0). Let a = 98.87 - 98. Let q = 0.13 + a. What is the second biggest value in q, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 + -114. Suppose -11*t + d = -15*t. Which is smaller: t or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 173 = -169. Which is greater: -31 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {i: 1, x: 2, c: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/19)*j)\/j)\/j**(-16)*((j*j**(-17))\/j)\/(j**19*j) assuming j is positive.\nAnswer: j**(-363\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 - 0.4. Let k = r + -2. Which is the closest to -0.1? (a) -2\/7 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Which is the smallest value? (a) -0.4 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 0, -2*z + f + 18 = 3*f. Suppose -3*y = -15, z = -4*k + 3*y + 4. Let i = 8 - 5. Solve i*c = k*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 - 32*w**2 + 5*w - 166. Calculate a(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 66*p**2 - 9*p + 8. Let c be o(2). Suppose c = 14*u + 86. Solve 0 = n - 4*n - u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2919 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/10 + 15*s**3 - 941*s**2 - 2*s + 1501. What is the first derivative of q(j) wrt j?\nAnswer: -6*j**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-168 - -61) - 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5123 divided by 5123\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 101010011110011011011?\nAnswer: 101010011110011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -60, -72, -88?\n\"Answer: -2*s**2 - 2*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194766 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 4*x + 14, l - 8 = 2*x. Suppose -l*i = 3*i - 3650. What is i rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118941993 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1880b?\nAnswer: -18808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0910397989 + 5.\nAnswer: 5.0910397989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7161744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10469*v**2 + 10469*v**2 + 2263*v + 554*v**3 wrt v?\nAnswer: 3324*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 - 3*o - 2. Let d(l) = -7*l**2 - 5*l + 5. Let u(t) = -4*t**2 - 3*t + 3. Let g(b) = 3*d(b) - 5*u(b). Let k(a) = -5*g(a) - h(a). Calculate k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)*4*22\/(-616)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5016056*f**3*y**3 - 25*f**3*y**2 + 6050*f**2 + 15913*f*y**3 wrt f.\nAnswer: 30096336*y**3 - 150*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 25*j**3\/3 + 3*j**2\/2 + 2*j + 7. Is 12 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 8*g. Let q be d(-8). Suppose -4*l + 13 + 7 = q. Differentiate 0 - l*o**3 + 4*o**3 + 2 with respect to o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f**2 - 76*f + 19. List the prime factors of d(10).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:21 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4825 - 4768. Solve 15*s = -12 + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(448) + 4 + sqrt(7) + sqrt(7) - (-3 + sqrt(448))) + (sqrt(448) - (0 + sqrt(448))) + 3 + sqrt(343))*-1.\nAnswer: -9*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 158, 4, -1, 9 in decreasing order.\nAnswer: 158, 9, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34438605 is divided by 5543.\nAnswer: 5489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 440?\nAnswer: -43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 1, g: 1, k: 2, c: 2}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 3, 8, 13, 18, 23?\n\"Answer: 5*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from ttataaneat?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8244.726 millimeters?\nAnswer: 8.244726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098743309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2220 - -2?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnxnnxxmnxxmnnxxx. Give prob of picking 2 n and 2 m.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 20*u - 5. Let m(f) = -39*f + 9. Let c(y) = -11*i(y) - 6*m(y). Let n be c(1). What is the third derivative of -12 + 21 - 6*h**4 + n*h**2 - 9 wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -20 in descending order.\nAnswer: 3, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(7\/3))\/x*x)\/(x**20\/x)*x*x*x\/x**0*x**26)**(1\/16) assuming x is positive.\nAnswer: x**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**2 - 242\/3 - 2\/3*v**3 - 66*v.\nAnswer: -2*(v - 11)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4769, 4, -4 in decreasing order.\nAnswer: 4, -4, -4769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002138 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**(-25))**(-19)*((u\/(u**(-1\/2)*u*u)*u)\/u*u**(2\/29))**(2\/93) assuming u is positive.\nAnswer: u**(1281050\/2697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20087*t**6 + 222*t**2 + 3*t + 26 wrt t.\nAnswer: -2410440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 241*g - 3374. Calculate v(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1947778*i**2 + 4223529*i**2 + 1367742*i**2 + 4612172*i**2.\nAnswer: 8255665*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4486.7 take away 10136090?\nAnswer: -10131603.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-250))\/((-2)\/8)*(-12540)\/(-37620)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 104. Solve -z*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787122 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:28 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -101, -214, -373, -578, -829?\n\"Answer: -23*d**2 + 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -27 - 66. Suppose -4*o + 3*h + 1836 = 0, 3745*h - 1868 = -4*o + 3740*h. Calculate the remainder when o is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let b(d) = 194*d**2. Give n(b(k)).\nAnswer: -388*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.37 + 14.374276. What is q rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.904 - -27.557. What is a rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*l + 57 = 35, -5*w + 5*l + 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 8*j. Let m be 2\/2 + j + 0. Suppose m = 2*v + 2, -c - 3*v - 2 + 10 = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a + 1. Solve 2*x + 1 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7589, -7750, -8055, -8534, -9217, -10134, -11315, -12790?\nAnswer: -14589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/10 + 561\/(-15). Let b = u + 59. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 128 - 7. Suppose 0*u - 5 = -2*c + 3*u, 5*c = u + y. Factor -4*r**3 - 4*r**4 + 12*r**4 - r + 5*r**5 + 2 + 0*r - c*r**2.\nAnswer: (r - 1)*(r + 1)**3*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 24*c**2 + 49*c + 141. Is v(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + y**3 - 3*y + 3*y**2 + 15 - 23 + 2*y**2. Let o be g(-6). Let v = 13 + o. Solve -4 = -u - 2*w, 5*w - v = 5*u - 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (10 - 700\/90). Which is the closest to 14? (a) 4 (b) z (c) -3\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33481 divided by 4?\nAnswer: 33481\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1253 + 1257. Let s be (-22)\/77*2\/4. What is the nearest to -0.1 in m, s, -1, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 10*o**2 + o**2 - 3*o - 7*o. Let k be x(10). Suppose 0*t + t + 5*i + 5 = 0, k = -i - 2. Solve c = -2*p + 7, -5*c = -t*p + 40 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 92595220?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1\/4 (c) -0.4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g**3 + 2*g + 2*g**2 - 1924811.\nAnswer: -g**3 + 2*g**2 - 1924811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by -2.\nAnswer: 321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41129183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231653 + 694981\/3. Solve 8\/3*u**2 - w*u + 2\/3*u**3 + 4 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 5, -54, -0.1, 65, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 5*i + 1 + 3*i)*(-269*i + 93*i**2 + 269*i) in the form n + g*i**3 + l*i + d*i**2 and give d.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 5, t: 4, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*b + 49*b. Solve -5*a + 6 - 11 = b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65436140 divided by 467401\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 n when four letters picked without replacement from {f: 5, r: 8, n: 3}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12278 * -2.9.\nAnswer: -35606.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a6 - 1469?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 931*r**4 - 6534*r - 8097*r**3 - 2094*r + 527*r**4 + 20814*r**3 + 1032 + 15030*r**2 = 0.\nAnswer: -43\/6, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2531*v - 636*v - 26530 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 15 + 17 - 29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0348 + 0.05615. Round a to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254\/77 - 30\/11. What is the biggest value in -32, 2\/23, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452227723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 405813642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*q - 987 = 0, 0 = -6*u + 5*u - 2*q - 329. Let t = u - -349. Solve -t = -0*j - 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6210, -6206, -6202, -6198?\n\"Answer: 4*d - 6214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6901 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 + (-1)\/(-50). Let m = w + 9\/50. Let h = 8523\/25 + -341. What is the second smallest value in h, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -6, 7\/5, -2\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19536 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from wnxykkxxwykyexwyywyw?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (((sqrt(612)*-1 - sqrt(612) - sqrt(612)) + 0 + -2)*1)**2)*6.\nAnswer: -198432 - 2592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 31*n - 127. Let h be j(-19). Suppose h*d = -14*d + 40900. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001208 to five decimal places.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3799 - -3915. Calculate the remainder when x is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*y + 2*y. Suppose 4*l + 4*x + 32 = 0, -l + 8*x + 22 = y*x. Put -1, l, -6 in descending order.\nAnswer: -1, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 694945200*o**2 - 91320*o + 3.\nAnswer: 3*(15220*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5608 and 903?\nAnswer: 5064024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 1629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(209\/(-165))*((-56)\/100)\/(-7)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*m - 347. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/(-208)*0*(-2)\/(-4). Which is the nearest to -1\/3? (a) 2 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q + n = 9, -5*q - 3*n = -20. Put 13, 2, q in decreasing order.\nAnswer: 13, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -7778, 17\/8?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 15\/2*l**4 + 2 - 20*l - 65\/3*l**3 - l**5 + 30*l**2. Factor d(v).\nAnswer: -5*(v - 2)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j - 8*j - 323 = 782 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 4*v)*(-v + 0 + 0 + (-1 - 5 + 4)*(0 + 0 + v) - 2*v + v - v) in the form x*v**2 + k + q*v and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379, -1201, -1023, -845, -667, -489?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*d. Let y(v) = -2*v**2 + 8*v**d + 4 - v**3 + 2. What is y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 + 165 - 165.\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goog when four letters picked without replacement from {o: 2, u: 2, g: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143.3 - 143.3001434. Round x to 6 dps.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 2, 1, -12, -5, -3 in descending order.\nAnswer: 2, 1, -3, -5, -12, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373713 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b + 1576 = -81*b. Let m = 206 + b. Solve -3*c + 12 = -m*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.89183 and -3.98263144?\nAnswer: 2.09080144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4 - 3*t - 3*t + 2*t + 2*t**2. Let v be y(4). Suppose 3*b = -2*i - i, -4*i - b + v = 0. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228223 or 225137?\nAnswer: 225137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 1. Let v(k) be the second derivative of 5*k**3\/3 - 3*k**2\/2 - 93*k - 12. Let c = -31 - -45. What is c*r(t) - 4*v(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 942916, 942970, 943024, 943078, 943132, 943186?\n\"Answer: 54*v + 942862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 1 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t**2. Let i(m) = -6*m. Let f(l) = l**2 - 10*l. Let p(v) = -v**3 + v**2 + v + 6. Let b be p(0). Let o(z) = b*f(z) - 10*i(z). Determine c(o(r)).\nAnswer: -468*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 x when three letters picked without replacement from xixviszxiv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Let v(z) = -z - f*z + 25*z**3 + 3*z. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a73 - -b92?\nAnswer: -8aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5 (b) -1 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-140)\/(-60) + -4 - ((-10)\/6 - -3). Which is the biggest value? (a) 7 (b) 0 (c) 1.9 (d) 5 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 - -0.13. Let h = -3 - -2.7. Which is the nearest to -5\/4? (a) z (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.9, -0.2, 1\/6, 23, -85 in decreasing order.\nAnswer: 23, 1\/6, -0.2, -1\/4, -0.9, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 45. Suppose 4*t - 5*q = -0*t + 32, a*q + 20 = 0. Solve -3*h - 9 = l + 2*h, 0 = 3*l + 3*h + t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 29, -13, 4, -4 in descending order.\nAnswer: 29, 5, 4, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4*a + 5. Let s be q(-4). Suppose 0 = -4*f - 2*d + 22, 2*d + s = -3*d. What is the greatest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9889.\nAnswer: 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 - -236. Factor 16*x - 8*x - y*x**2 + 60 + 79*x**2.\nAnswer: -4*(x - 5)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 2*j, -2*j - 8*k = -4*k + 4. Suppose 389 = j*x - 35. Let c = x + -51. Solve -c*i + 5 - 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 2*t. What is the second derivative of -4*v**2 - t*v + 6*v**2 + 5*v - 6*v**2 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 22 = -k + g, -2*g + 9 = 5*k. Let c(o) = -o**2 + 2. Let m(q) = 4*q**2 + 48*q + 38. Let y(l) = k*m(l) + 6*c(l). Find i such that y(i) = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oddoddojoojdojd. Give prob of sequence jojj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 3*d**2 - 304 + 6*d - 3*d**2 - 6*d.\nAnswer: d**2 - 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -8. What is the closest to -1\/3 in l, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 520*q + 1605.\nAnswer: -5*(q - 3)*(q + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 + -384.4. Sort p, -0.3, -2, 0.4 in descending order.\nAnswer: 0.4, -0.3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 9) to base 10.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*q - 1, 5*z + 25 = -4*q + 9*q. Let x be (-4)\/(-5)*z\/(12\/10). Let v(a) be the second derivative of -a**4\/4 - a**3\/2 - a**2 - a. Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -16593641830.13\nAnswer: 16593641806.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-14)*8\/(-30). Let g be (-4 - (-4 - 3))*(-15)\/90. What is the third biggest value in 0.3, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676277.5kg to milligrams.\nAnswer: 676277500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*r**2*y + 1295*o**2*r**2 - 876*o*r**2 + o*y - r**2*y - 2*r**2 wrt o?\nAnswer: 2*r**2*y + 2590*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518 = -281*l + 2011 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -174 - 1\/15*d**6 - 48\/5*d + 44\/15*d**3 - 9\/10*d**4 + 4*d**2 - 16\/25*d**5. Let w(h) = 0. What is h?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 7*h**3\/6 - h**2 - 51*h - 163. Let k(d) be the first derivative of t(d). Let u(n) = n - 1. What is -k(r) + 2*u(r)?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/97 or -2.6?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.046836 and 0.\nAnswer: -0.046836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i. Let r(h) = 774*h**2 + 2. Calculate g(r(u)).\nAnswer: 5418*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/270 + 1397*c**4\/54 - 1951609*c**3\/27 + 1035*c**2 + 2*c. Factor x(b).\nAnswer: -2*(b - 1397)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 58, 152, 316, 568?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -8)*(1288\/132 + 465\/(-33) + 14).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 40028 (c) 0.4 (d) -4 (e) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19799382*n + 137879125 wrt n.\nAnswer: 19799382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n + 221 + 443 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 3) in base 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230591119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 178*v - 996.\nAnswer: -2*(v - 83)*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1162 and -17\/2905.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.73 + -12.33. Let z = 115 - 105.6. Let l = z - u. Which is the smallest value? (a) -6 (b) l (c) 1\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 - 0.02. Let x = -1.36 - 1.14. Let w = -2.4 - x. What is the closest to m in w, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6807866 and 8294?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 2. Let i = 5.8 - r. What is the smallest value in i, 4, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*o = -28, -2*o - 13 + 3 = b. Let w = -2\/645 + 34193\/2580. What is the common denominator of w and 79\/8 + b\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13212*b*i**4 - 14*b*i - 207*b - i**4 - 116*i**2 + 2*i + 150 wrt i?\nAnswer: 158544*b*i**2 - 12*i**2 - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 22. Suppose -187 = -3*n - h. Let l = -317 + 339. Calculate the greatest common factor of n and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -541 or -554?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - -163 - (7 + 18 - (-9 - -24)).\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 4. Let l = 2 + -2. Let q be (2 - (l + 0))*2. List the prime factors of r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -568 - -568. Is 1\/115 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47071197 and 387.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 + -94. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.26 + 1.2. What is the nearest to -2\/5 in 4, b, 6\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8081157 and 3.5.\nAnswer: -28284049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4349 is divided by 2279?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 767, 1275, 1783?\n\"Answer: 508*u + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, -8, 3, 29 in decreasing order.\nAnswer: 29, 3, 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 + -1)) + -1 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 448 + -444. Let s = -412 - -409. Put -5, k, 2, s in decreasing order.\nAnswer: k, 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31967, -63581, -95195, -126809, -158423?\n\"Answer: -31614*f - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6557321.\nAnswer: 2417, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 485810 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16448 divided by 1028\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*x - 3, 0 = -2*j - 2*j - 3*x - 13. Suppose -15 = 3*p, -4*k = p - 4*p + 5. Is j not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052344829 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-26) - (-5)\/2. Suppose -5*f = -2*x - y*x + 45, 5 = 2*x + f. Solve 4*i - 13 = z, i - x*z + 2*z + 5 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57945 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 90 = -5*s. Solve -3*c + 5*c + s = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 690421252 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5768 and 12?\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -205*r**2\/2 + r + 31. What is the units digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 6 + (-1 - 2) - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/4))**(1\/24)*(u**(-4)*u)\/(u**(2\/9)\/u)*(u\/u**(-7))\/(u*u**(2\/13)\/u)*(u**(-1\/3)*u)**(-8) assuming u is positive.\nAnswer: u**(1283\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8396 * 20.08\nAnswer: 168591.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 360 + 447 = -4*z, 3*z = -3*q + 495. Let m = q - 159. Find w, given that -m*w**4 + 0*w**2 - 4\/3*w**3 + 0*w + 0 - 5\/3*w**5 = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530653, 1061261, 1591867, 2122471, 2653073, 3183673?\nAnswer: 3714271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (33 + -13) - (-2 + (-1 - -1) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -94546*d. Let x(r) = 2*r**2. Calculate x(a(v)).\nAnswer: 17877892232*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 108360.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193925 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from mqsssssssssmssms.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178\/769 + 24695\/129192. What is the common denominator of -89\/108 and z?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28799.49627 + -2\nAnswer: -28801.49627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -348*g**3 - 58*g**2 + 5*g + 3. Give v(1).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b + b. Suppose r - 5*r + 24 = b. Which is bigger: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278345429 divided by -2.\nAnswer: -278345429\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 - -1806\/5. Calculate the common denominator of 91\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c + 152. Let p be z(-12). Suppose 2097 = p*f - 15. What is the least common multiple of 72 and f?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.073 - 0.073. Let l = 16 - y. Which is the third smallest value? (a) -0.5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4342 + -4346. Let o(w) = -8*w - 10. Let k(x) = -9*x - 11. Let f(n) = -5*k(n) + 6*o(n). Give f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1793488434 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/3 + 28*s**2\/3 - 52*s\/3 = 0?\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t + 9 = 59*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252.36 + 27957.64. Let m = l - 28199.0072. Let c = -11 + m. What is c rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 13*c + 32. Let l be g(15). Suppose -l*o - 70 = -9*o. Let a = 136 + -141. Put a, o, 1, 0 in decreasing order.\nAnswer: o, 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -11*j - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1530 by 2.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14305 divided by -1?\nAnswer: 14305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 11:24 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**14*l*l**(1\/6)*l*(l*(l\/(l**0\/l)*l)\/l)**(-19) assuming l is positive.\nAnswer: l**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 23, -5, -2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86335509*b + 391376718 wrt b.\nAnswer: -86335509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 2630474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*q + m - 2, q - 2*m + 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 505, 493, 465, 415, 337, 225, 73?\n\"Answer: -z**3 - 2*z**2 + z + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435893856.\nAnswer: 2, 11, 991, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*j - 90 = 0, -2*o + 27*j - 26*j = -37. Solve 12*d = 4*b + o*d, d = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.418443 less than 3.2?\nAnswer: 2.781557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 16*u + 37. Let h be z(-7). Solve a = 4*n + 17, -h*n - 2*a + 4*a - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v - 67 + 11*v - 64 + 147. Let j be m(3). Let z = j - 32. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(2810\/(-11176) + 1 + 156\/(-208)). Calculate the greatest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/a**(-2\/9))\/(a**(-7)*a**6*a))\/(a*a**5*(a**(-6)*a)\/a*a*a**(3\/5)\/a*((a*a**(-6))\/a)\/a) assuming a is positive.\nAnswer: a**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 65703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2144*i**4*l - 855*i**3*l**2 - 10*i*l**2 + 66930*i*l - 2*i - 2*l**2 + 2 wrt i?\nAnswer: -25728*i**2*l - 5130*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/15204 and -53\/19548?\nAnswer: 136836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-24)\/30 + (-2)\/10). Suppose -9 + z = l. Let x be ((-8)\/5 - -1)\/(l\/(-10)). Solve 5*p + 9 = 2*m - 14, 27 = -5*p + x*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177409190 to the nearest integer?\nAnswer: 13320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-37)\/3)\/((-3)\/1026). Let r be 2 + 19\/(v\/(-468)). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -110. Let k = -937\/22 + t. Let q = 1400\/9 - 3565\/18. Find the common denominator of k and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (6*((sqrt(68) - 2*sqrt(68) - sqrt(68)) + sqrt(68)) + sqrt(68)))\/sqrt(4).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 2 + (-1 - 3 + 5)*(-2 - 1 + 4))*(0*z + 5*z + 4*z + (0 + 0 + 3)*(-4*z + 12 - 12) - 5*z - 4*z + z) to the form a + k*z and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 235*r**2 + 153*r. Let o(p) = 9*p. Give b(o(m)).\nAnswer: 19035*m**2 + 1377*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-1 + 2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 38*i + 5. Let w be 2 + (-60)\/21 + (-15340)\/413. Calculate x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1259*q**2 + 13854*q + 64. What is v(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (370\/1924)\/((-10)\/(-4))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7316 - -7344. What is the third biggest value in r, 2\/27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + (-2 - (-2 - -5)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -72, -66, -60, -54?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2622 = -10*y - 932. Suppose -4*w + 7*w + 3*x = 126, 4*x = 4*w - 176. Calculate the remainder when y is divided by w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:41 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203241 + 4?\nAnswer: 203245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n + 4*f + 10, 4*f = -4. Let v(c) = -c**2 - 5*c - 4. Let o be v(n). Solve 18 = -3*j + 3*p, -o = -0*j + j + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805.7256 months to millennia.\nAnswer: 0.0671438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907 + 281 = 11*w. What is the remainder when w is divided by 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -9) + 1 + (-32 - 1). Calculate the remainder when (-15)\/6*(w - -2) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -22, -302, -986, -2242, -4238, -7142?\nAnswer: -11122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 126*s**2 - 135*s - 39. Give t(-62).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5738 + -3829. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 2*i + 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774 - 774 - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(1377)*2 - ((sqrt(272) + -2*sqrt(272) + sqrt(272))**2 - sqrt(17)) - -5*(3 + (1*sqrt(68))\/sqrt(4)).\nAnswer: 15 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1501993129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 + -1.3. Let h = 5 + -8. Let s = 25271\/4 - 6318. What is the third smallest value in s, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 43*y. Let h(s) = 183404*s - 1. Determine d(h(o)).\nAnswer: 7886372*o - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k + 1. Let x(b) = -3*b**2 - 15*b + 3. Let d(m) = -4*x(m) + 9*z(m). What is d(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + 2*s)*(-1 + 2 + 0)*(-29 - 23 + 525) in the form w*s + c and give w.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607406 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5572 (b) 690 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from okkcoz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171093?\nAnswer: 3, 13, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xax when three letters picked without replacement from {x: 3, e: 1, c: 2, k: 1, a: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*c = c + 11, -2*c + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*12\/9. Let z = 0.6 + -34.6. Let y = -34.2 - z. Which is the smallest value? (a) y (b) 2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9873 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + f**2 - 3)*(4 - 1 - 2) + 42*f + 11*f**2 - 20*f**2 + 6*f**2)*(-2*f**2 + 6*f**2 - 2*f**2).\nAnswer: -4*f**4 + 84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-191.47628\nAnswer: 114.885768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29367, 29458, 29549, 29640?\n\"Answer: 91*r + 29276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4990 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**2 - 454*c + 1391. Let n(b) = 25*b**2 + 682*b - 2087. Let o(z) = 5*n(z) + 8*v(z). Solve o(s) = 0 for s.\nAnswer: -77, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 995853893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 94*f**2 - 2*f + 2. What is the units digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 71. Suppose -34 = -3*x - z. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1165\nAnswer: -6\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4054.8, 5, 0.3 in increasing order.\nAnswer: -4054.8, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 60 - 32 - 4*b - 20*b**3 - 29 - b**2 + 4*b**2 to the form y*b**4 + w*b**3 + s*b + o + l*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6691838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33857*0.5\nAnswer: -16928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-54)*69261)\/((-5)\/(-45)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*g - 3*g = 27, 2*g + 28 = 4*f. Suppose 0*s = -3*l - 2*s - 13, l = 4*s + f. Sort 4, 5, l in increasing order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33 + 0.05. Let u = r - 1.38. Let p be (-8)\/(-2) + 135\/(-30). Sort u, 5\/2, p in decreasing order.\nAnswer: 5\/2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*n = -6 + 10, 0 = -5*k - 5*n - 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 45*s - 1. Let q(o) = -20*o**2 - 6*o - 348. Let p(l) = 220*l**2 + 65*l + 3770. Let c(u) = 6*p(u) + 65*q(u). Determine f(c(y)).\nAnswer: 900*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 2*k + 11. What are the prime factors of b(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 4, 2\/11, 0, 3, 377, -2\/15 in decreasing order.\nAnswer: 377, 36, 4, 3, 2\/11, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:31 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 2*x = -603153. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*q = r + 79, 0 = -5*r - q + 161. Let n(k) = 19*k - 92. Let j be n(6). What is the highest common factor of r and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-18)\/4)\/(205335\/(-113724))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f + 1388. Let a be q(-87). Let d = -10 + 9.5. Sort -3, d, a, -0.1 in increasing order.\nAnswer: a, -3, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.26, 285, -6, 5, -1\/7?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -3. Let k(d) = d**2 + 1. Let p(c) be the third derivative of -c**6\/120 - c**5\/60 - c**3\/6 + 5083*c**2. Determine l*k(t) + 3*p(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -0.7471518473\nAnswer: 0.5471518473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Let u(s) = -2*s**2 + 3*s**2 - f*s**2 + 5*s**2. Let b(q) = -4*q. Calculate u(b(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -382*v + 9549. Calculate x(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 1, t: 3}. What is prob of sequence tx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 584 - 12*i**2 + 4*i**2 + 173 + 2*i**2 + 4*i**2 as a*i + h + j*i**2 and give h.\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 15*h**3 - 42*h**2 - 20*h - 30. Let v(z) = 9*z**3 - 26*z**2 - 12*z - 18. Let m(f) = -8*a(f) + 13*v(f). What is m(-3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q**(-6\/5)*(q**(1\/2))**(-21) assuming q is positive.\nAnswer: q**(-137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190313, 380628, 570943, 761258?\nAnswer: 951573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -719 less than or equal to -717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24273071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21)*(-49)\/(-35)*(-15)\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256467, -256609, -256845, -257175, -257599?\nAnswer: -258117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 9*t**2 + 3. Suppose -2*p = -p - 9. Let c be s(p). Let f be 4\/(-18) + (-8)\/(-9). Sort f, c, -5 in ascending order.\nAnswer: -5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 + 7*z + 5. Suppose 0 = 30*v - 44 - 133 + 27. What is x(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 117*u + 2*u**3 + 180*u - 63*u.\nAnswer: 2*u**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v = 64*v - 2*g - 22, 5*g - 45 = -5*v. Calculate the smallest common multiple of v and 359.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19856, -34216, -48576, -62936, -77296?\n\"Answer: -14360*o - 5496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.092 + 4.092. Let g = 7.7 + -8. Let n = -0.44 + 0.04. Which is the closest to 0? (a) n (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11528 divided by 4.\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 549 + -330. What are the prime factors of n?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 10. Suppose -2*i = -7*i - 30. Let g = i - -11. Calculate the remainder when s(-9) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4570*-3.\nAnswer: 13710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2974 or -2973?\nAnswer: -2974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 423524 or 423421?\nAnswer: 423421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 2:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 2. Let a(i) be the second derivative of -3*i**5\/10 + 5*i**2\/2 + 129*i. Calculate 2*a(c) + 5*o(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(((x\/(x\/(x**(2\/21)*x)))\/x)\/x)*x*x**(-3\/4)*x assuming x is positive.\nAnswer: x**(265\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.7862 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1875807298 + 0.5.\nAnswer: -1875807297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55281 times 106?\nAnswer: 5859786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + (-1332)\/162. Let g be o\/(-10)*(3\/2 + 6). Solve -g*v - 5 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 9. Let i(t) = -3*t - 1. Let v(a) = -23*a + 529 - 1063 + 531. Let q(l) = -6*l - 1. Let f(z) = 9*q(z) - 2*v(z). What is c*f(u) + 11*i(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171.5223 - 0.0777. Let v = w - -192. Let p = v + -20. Which is the second biggest value? (a) -5 (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2448) + 1 - (sqrt(2448) - (1*sqrt(2448)*6 - sqrt(2448)))) + -1 + sqrt(2448) + -4 + 2)**2*1.\nAnswer: -288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:59 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:40 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.14 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83078951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 33. Let t = -1271 + 1275. Sort t, y, -8 in descending order.\nAnswer: y, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3608394434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 3:30 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.9641 or -2\/3?\nAnswer: -1.9641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 5*p - 43 + 21 + 22.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:24 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 422, -751, -1924, -3097, -4270?\n\"Answer: -1173*p + 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -1\/22, -4, -2\/23?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + g**2 + 40 - 82)*(-40*g - 42*g + 143*g)*(4 - 4 + g).\nAnswer: 61*g**4 - 244*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3, 2, -9, 130?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + l**2)*(-l + 4 - 4)*(-16*l**2 - 14*l**2 + 8*l**2).\nAnswer: -22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vquu when four letters picked without replacement from quppuvu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*l**2 - 76*l**2 - 78*l**2 in the form c*l + y*l**2 + g and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11080585*m**4 - 6*m**2 + 21324*m + 39 wrt m?\nAnswer: -265934040*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000146301589 to seven decimal places.\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.52355 millimeters to centimeters.\nAnswer: 1.552355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 282\nAnswer: 56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4\/3, 0.012, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -1. Let w = g - 10. Suppose w*z = -2*u + 22, -5 = u - 5*z - 28. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 129001*t + 3. Let l(x) = -387004*x - 10. Let d(b) = 7*j(b) + 2*l(b). Let u be d(1). Round u to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 5*h - 41. What is the remainder when 56 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027607759 rounded to 5 decimal places?\nAnswer: -0.02761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8212\/1611 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1105063 (base 7) to base 10\nAnswer: -136216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czce when four letters picked without replacement from {c: 2, z: 1, e: 3, l: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 42551*h + 42551*h. Let x(s) = -194*s + 1. What is a(x(d))?\nAnswer: 75272*d**2 - 776*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o - 1. Is f(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0 = -30. Let m(g) = -2*g + g**3 + 20 - 6*g**2 - 29 - 2*g**3. What is the units digit of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/6 + v**2 + v. Let a(w) = w**2 - 8*w + 2. Let m be a(8). Suppose m*p + 19 = 9. Determine j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(456)\/(-1*sqrt(8)*-3))\/(sqrt(36)\/(sqrt(108)*-3 + sqrt(108))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268071 is divided by 1596?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 + 1755. Let v(d) be the second derivative of -7*d**3\/3 + 2*d. Calculate v(y(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241, 5381, 12263, 21887, 34253?\nAnswer: 49361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 7, t: 1, p: 4}. What is prob of picking 2 i, 1 w, and 1 p?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0 + 2*z - 3\/2*z**2 + z**3. Let k be q(8). What is the greatest common divisor of 30 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232324140 - -3?\nAnswer: 1232324143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -43. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440*z - 1675 = -1105*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5927, 11873, 17819?\nAnswer: 23765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -8, 11, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 1. Let j(q) = -11. Give -11*c(h) + j(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 66. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234497253 to the nearest integer?\nAnswer: 15313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 18 = -36*m + 38*m, 15*m - 11*m + 6*s - 8 = 20 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/17152 and -41\/128?\nAnswer: 17152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.04, 4, -3, 1 in decreasing order.\nAnswer: 4, 1, 2\/11, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - (-37515)\/4170)\/(-1). Suppose 0 = -v + 2*v + 1. Is c > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, -20, -4, -6 in descending order.\nAnswer: 2, -3, -4, -5, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 63 = -5*i, 5*d + 5*i - 168 = -3. Let s be (d\/(-57))\/((-4)\/18). Let f be -3*((-50)\/15 + s). Solve -4*u - f = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:38 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*z + 107. Suppose 0 = -0*b + 2*b - z. Suppose b = v + 3*c, 2*c - 15 - 47 = -4*v. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390*c = -3569*c - 1018*c + 140668 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 2. Let z(s) = 625*s**2 + 2*s - 2*s - 624*s**2. Determine i(z(u)).\nAnswer: 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * -9277\nAnswer: -31541.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 95*y - 1228724. Calculate k(1157).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -32. Let r be 4\/10*(k + -4). Solve -1 - r = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -480*m - 3. Let r(u) = -6*u + 1. Let d(o) = b(o) + 3*r(o). Let q(w) = -2*w**2. Give d(q(n)).\nAnswer: 996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(((((s\/(s*s**(-7)))\/s)\/s*s*s*s)\/s)\/s)*(s**(-41)\/s*s)\/s*s**(-4\/13)*s**(-6)\/s assuming s is positive.\nAnswer: s**(-693\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76275, 76256, 76247, 76254, 76283?\nAnswer: 76340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqxvdvq. Give prob of sequence vv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 48580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*p**6*y - 64*p**3*y - 2*p**2*y - 72*p**2 + 6*p + 34*y + 1 wrt p.\nAnswer: 3720*p**3*y - 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9) - 17\/(-6) - (-276)\/(-8)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32164 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, a: 1, h: 1, v: 1, l: 1}. Give prob of sequence htt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l*l)\/l*l*l**15*l**(-22)\/l**(-9\/2) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46.51 or 0.2?\nAnswer: 46.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z. Let c(r) = 6*r. Let g(v) = -4*c(v) - 3*q(v). Let i(n) be the second derivative of -n**3\/6 + 3*n. Calculate g(i(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -57053.678 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33143?\nAnswer: 11, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1297516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-48))\/(3 - 5\/3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4 + 20\/12 + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 28*v + 2. Let b be f(0). Solve -4*q + b = -o + 4, -5*q + 4*o = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*16)\/2*-17*(-52)\/272?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/317 or 1?\nAnswer: -2\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-3)*(-30)\/25. Suppose 204 = -2*v + b*v. Suppose 4*n - 206 - v = 0. Calculate the remainder when n is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*u + 2897 - 5907 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**7\/84 + 3*q**5\/40 + q**4\/12 - 14*q. Solve k(y) = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1619*w + 20766 + 14535 = -31078 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nboononnnbonnon. What is prob of sequence nono?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w - 1. Let y(i) = -28*i**2 + 8*i - 7. Let j(c) = 24*t(c) - 3*y(c). Factor j(s).\nAnswer: 3*(2*s + 1)*(10*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (32 - 4) - (-1743 - -1629).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 26 = 35. Is t less than or equal to -3\/206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 47862513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*q + 15*q. Let c be (3 + q)*27543\/(-3). Let x = 3381 + c. Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f = 6, -4*n - 18*f = -14*f + 12. Solve n = 5*v - 3*c - 20, 0 = -6*v + 3*v - c - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140.0278 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1984 - -0.64.\nAnswer: 0.4416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0430754 to four decimal places.\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -0.45 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 2*d**6\/5 - 19*d**5\/5 + 13*d**4 - 58*d**3\/3 + 12*d**2 - 9*d + 23. Find i, given that h(i) = 0.\nAnswer: 1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836490471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**0))**(2\/27)\/(p**(2\/7))**(-1\/45))\/((((p\/(p\/(p\/(p**(-3\/2)\/p*p))))\/p)\/p)\/(p\/p**5*p)*(p**(1\/4))**18) assuming p is positive.\nAnswer: p**(-7484\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/138 and -23\/2394?\nAnswer: 55062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 313, 314, 313, 310, 305, 298, 289?\n\"Answer: -g**2 + 4*g + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -23. Suppose d + 0*d + w = -5*x, 2*d + x + 3 = 0. Let p = d - -9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*a + 304 + 561, -2*c = -4*a - 400. Put c, -4, 0 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4421, 4446, 4491, 4556, 4641, 4746, 4871?\nAnswer: 5016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-168)*((-4)\/(-1))\/1. Let o be (-2)\/17 - 18\/(-612). Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - k + 33 = 14*g, -3*g + 39 = -k. Calculate the least common multiple of 99 and g.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:06 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859 greater than 6856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -15*q + 19*q. Suppose q*k - 80 = 3*k. Let w = k - 19. Solve -v = w + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 11*s**2 - 33*s - 14. Let k(l) = l**2 - 3*l - 1. Let a be k(-3). Let c = -11 + a. Calculate the remainder when c is divided by w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + -49. Let p = -132 - h. What is the nearest to p in -1, 0.2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 43, -2, 1111, 2, 1 in descending order.\nAnswer: 1111, 43, 10, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - -56. Suppose -4*j = 5*q - 203, -q = -4*j + r + 20. Does 13 divide 3\/((-1)\/(j\/(-6)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - 3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 7293.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 66*x**2 - 29*x - 115. Is u(72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:45 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 5*u**2 + 2*u - 3. Let r be z(-4). Let m = r + -5. Suppose 6*s - 4*s = 4. Solve s*g + 14 = 4*h, m*g + 3*g - 5*h = -18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7020 in 2\/11, -1, 24\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7686\/(-8967) - 114\/14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -31. Let o = d + -10. Let h = o - 7.000063. Round h to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -66 + 70 + 4*w**2 - w - 6*w**2. Let m(t) = -2*t**2 - t + 3. Let x be (1\/1 + 1)*(-10)\/(-4). What is x*o(l) - 6*m(l)?\nAnswer: 2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1057*u - 1056*u - 3. Let i(n) = -n**3 + 6*n**2 - 6*n - 2. Determine i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1332, 1, -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -3, -0.7, 447?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p - 1. Let t(i) = 6*i - 1. Let w(n) = -4*t(n) + 3*z(n). Let q = 4 - 7. What are the prime factors of w(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**9\/(z\/z**(-2\/3)*z*(z\/(z*z**(-5)))\/z) assuming z is positive.\nAnswer: z**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 5:56 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Let g = 9 - v. Suppose 0*q = -q + g*o - 2, 3*q - 3 = 3*o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(0 - 12\/(4 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -35*f + 35. Calculate the smallest common multiple of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/7 + 92*r\/7 = 0. What is r?\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 - 2533 = -5*g. Suppose -3*v = -4*v + g. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031075*-0.4.\nAnswer: 0.01243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -35.523997\nAnswer: 36.523997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 6 = -33. Suppose -y*j = 2*i - 4771, -4*i = -28*j + 27*j - 9577. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0 + 1\/3*k**3 - 2*k + 0*k**4 - 1\/15*k**5 - 53*k**2 + 5\/168*k**8 + 0*k**6 + 0*k**7. Find the third derivative of q(p) wrt p.\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/14889?\nAnswer: -10\/14889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 10. Let f be (-10)\/v*(-4 - -2). Suppose -5*h = -2*l + 24, 4*l - 3*h - 18 = l. Solve -2*a + f = l*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111994000 rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 3 - 3 - 2*d + 3*d - 2*d + (0 + 1 + 1)*(0*d + d + 0*d) - d - 2*d + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 2005?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3246?\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Let p = -4.1 + 0.1. Let q be 1\/3 + (-12)\/108. What is the nearest to 0 in b, p, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5361318000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0638 + -25.9362. Which is the smallest value? (a) x (b) 3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/4725461 and -59\/1090491.\nAnswer: 14176383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-1 + 5*(sqrt(539) + 1 - sqrt(539)) + -3) + 2)*6.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s. Let o = -1.2 + 0.8. Which is the closest to s? (a) 1 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i - 7. Let a = -23 + 23. What is c(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/7*20104\/4308?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53143, -53150, -53159, -53170, -53183, -53198?\n\"Answer: -x**2 - 4*x - 53138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -742278 or -742319?\nAnswer: -742319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1082192.\nAnswer: -1082192, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.673932324?\nAnswer: 3.673932324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n**(-9\/2)*n)))\/((n\/n**(8\/3))\/n) assuming n is positive.\nAnswer: n**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let t(s) = -s + 5. Let i(q) = -t(q) - 4*y(q). Let v be i(-1). Let z = 0.52 - 0.32. Which is the nearest to 0? (a) v (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8161?\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 5*h**3 - 1021*h**2 - h - 20*h**3.\nAnswer: -26*h**3 - 1021*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 835288 (base 9) in base 12?\nAnswer: 1bb022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-3*(-2)\/(-4)). Let i be ((-11)\/y)\/(1\/(-2)). Let a = i - -21. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Suppose -g*v + 1 - 77 = 0. Let q = v - -16. What is the third biggest value in 2, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4*(-7)\/28). Suppose 14*t = -c*t + 10192. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15642, 75858, 239288, 557538, 1082214, 1864922, 2957268, 4410858?\n\"Answer: 8601*r**3 + r**2 + 6*r + 7034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*p = 23, -4 + 5 = 4*q + p. Let t be (q - 4)*(-2)\/5. Let g be (0 + -1)*(-6)\/2. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -919, -1974, -3029, -4084?\n\"Answer: -1055*i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)*(f*f\/f**(-1\/6)*f)\/f)\/(f**(-1\/9)\/f**(1\/4)))**(-7) assuming f is positive.\nAnswer: f**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppzspzpa. Give prob of sequence pazs.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 19 + 19.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 0, -638 = -13*o + 12*o + 4*q. What is o rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ca (base 13) to base 7\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let w(o) = -431826567*o**2. What is w(x(d))?\nAnswer: -431826567*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(160\/(-225)))\/(265\/636).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2 = 5*g - 24, -3*a = 3*g - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**12)**(-16\/9) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37352?\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 1202?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/90 + (49\/882)\/(2*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 4}. Give prob of picking 3 e and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - ((sqrt(45) - sqrt(45)*2 - sqrt(45))*5 - sqrt(45)))\/(-5*sqrt(144)).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.4, -21\/4, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 166 - 146 = 0. Suppose 30 + 19 = t - y*r, 4*r + 179 = 3*t. Calculate the highest common divisor of t and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04735? (a) -0.4 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*x, -6*x = -4*x + 5*h. Let o(p) = -p**2 + 3*p + 3. Let w be o(3). Solve 4*a = 5*j + 17, x*j - 21 = w*a + 3*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 8*u - u**3 + 5*u**2 - 2 - u**2 - 6*u**2. Calculate k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -272 + 276. Solve 4*f + o + 8 = 2*o, -2*o = 2*f + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 8. Let w = l + -2. Let i = -6.7 + 7.2. Put w, -5, i in descending order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10*i = 11*i - 108, 2*z = -4*i - 234. Is z smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7063 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27969611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 4*q + 177, 4*o + 217 = -q. Let j = -0.0404352 - -0.0404352. Which is the closest to -2? (a) o (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 10. Let g be (-21)\/r + (-8)\/40. What is the tens digit of 175*g\/(-30)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1117.3 - -1117. Let g = 0.3 + -1.2. Sort -2\/11, x, g in descending order.\nAnswer: -2\/11, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-268)\/34 + 4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 13611?\nAnswer: 666939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-24)*((-54)\/56)\/(201\/268).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93498 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 + 52 = 0. Suppose -35 = -3*z - k. Suppose -n + 6 = -4*n - z*g, 4*n + 3*g + 8 = 0. Which is the biggest value? (a) n (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.528 + 0.472. What is the second biggest value in w, 3, -3\/10, 2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (2 - 4)*-2. What is the closest to t in 0.3, 4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7761 + -2826. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/250 (b) 5 (c) 4 (d) 1\/3 (e) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119236?\nAnswer: 2, 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 2*h. Let q be (4 - -43) + 1 + 3 + -3. Let j = 50 - q. Let x be z(j). Solve -2*b + 6*g - g = -15, -5*b - 4*g - 45 = x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*x - 335 + 125 = 0, -5*x = 4*o - 168. Let u = o - 25. Calculate the remainder when 67 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -d - 5*k, 0 = k - 2*k - 3. Let a(u) = u**3 + 9*u**2 + u + 7. Let w be a(d). Let b = 11\/78 + -4\/13. What is the nearest to w in b, 0.3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*k - 42, -8 = -f + 3*k + 11. Let l = f - 32. Put -5, 5, l in decreasing order.\nAnswer: 5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10*15\/6. Let o(t) = -8*t - 2. Let z be o(-1). Let i be 3 - 52\/z - -4. Which is the third smallest value? (a) i (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*x - 37464, 6*n - 28101 = 3*n + 3*x. What are the prime factors of n?\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*p**3*t**3 + p**3*t**2*y**2 - 2*p**3*y + 11*p**2*t**3*y**2 + 122*p**2*t**2*y wrt p.\nAnswer: 258*t**3 + 6*t**2*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291.\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6434, 6433, 6432?\n\"Answer: -i + 6435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:35 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 481.1161 millilitres?\nAnswer: 0.4811161","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 9, 33, 57, 75, 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 2*q + 420. Calculate the common denominator of 47\/30 and 3 - 562\/q - (1 - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 10:11 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-3)\/5*325\/(-78). Solve 0 = 2*w + 3*z - 2, -o = 4*w - 3*z - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 0, -1 in ascending order.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z. Let c(p) be the first derivative of 0*p - 4 - 1\/2*p**2. Determine c(l(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*d - 677, -99*d + 5 = -100*d. Suppose -2*h = -7 - 21. Calculate the remainder when x is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 36290*r - 180. Let m be b(2). What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.11 (c) 1\/5 (d) -27 (e) -1 (f) -99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -160*t + 1595. Let z be h(10). Let n(f) = -11*f - 56. Let q(c) = 7*c + 37. What is z*n(r) - 8*q(r)?\nAnswer: -r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 46*d**2 + 7*d + 23. What is j(4)?\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -0.11 (c) -1.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 - l**2\/2 - 6. Find the second derivative of n(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13916 + 2657949\/191. Let a = 14565\/1337 + q. Let w = a + -11. What is the closest to 2\/7 in 5, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 44, -5, -3, 1, -1 in ascending order.\nAnswer: -5, -3, -1, 1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-3 - -1)) + (-6 - -12). Let l be k\/(-7)*(-4)\/(-16)*-7. What is the second smallest value in 1\/30, -1\/4, l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 9*a - 118. Determine c(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(14*12\/4620)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**2 + 85*j + 49. Determine l(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86182987?\nAnswer: 11, 7834817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 8*p - 20. Let n be a(-10). Factor 1\/4*r**2 - 1\/2*r + n + 1\/4*r**3.\nAnswer: r*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*11*10\/165.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122\/(-4) - (-78)\/156. Let k = 488 - a. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4167830 and 2083915?\nAnswer: 4167830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 0.5 (c) 3 (d) 467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - 3095*p**2. Let k(d) = d - 1094. Calculate l(k(n)).\nAnswer: n**2 - 2188*n + 1196836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(1088) + sqrt(1088)*2)**2*2 + ((-1 + sqrt(1088))**2 - sqrt(1088))*-1 + 1).\nAnswer: -74000 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + ((-183)\/427 - (-144)\/(-56)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let t = -5\/4 + 11\/12. Which is the nearest to y? (a) 0.3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-4*u + 2*u + 4*u) - 2*u + 6*u - u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 - 93*g**3 - g + 15111 wrt g.\nAnswer: 8*g**3 - 279*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/(4*1\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*d*v - 8299*d - 14*v**2 with respect to v.\nAnswer: -171*d - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2315 - 425*d + 2315 in the form a + x*d and give x.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 10. Suppose -x - 7 = -2*b, m*b - 5 = -2*b + 5*x. Suppose 0 = -6*y + b*y + 20. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:31 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*c + 3 - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flsmgllfhhlflh. What is prob of sequence gss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986747?\nAnswer: 3, 7, 89, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*f - 1 = n + 4*f, 5*n + 6*f = 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 q, and 1 c when four letters picked without replacement from cbblbgqfbqbbbblbgb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 26 - (-8 + -37 - -9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161263241 divided by -1\nAnswer: -161263241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 361 = 2*o - 91, 2*k - 2*o - 102 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1558 + 2104. What is the lowest common multiple of 13 and w?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1448 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11945 or -11947?\nAnswer: -11947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -534 + 9076\/17. What is the biggest value in k, -5, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56426 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466578600 rounded to the nearest one million?\nAnswer: 467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5 - 3*m**2 - 4*m**3 + m**3 - 2 + 1 + 3*m. Is i(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2015 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/180*(-20)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16706 + 16761. What is the highest common divisor of h and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055082 is divided by 1702.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z - 1. Let m be x(-1). Sort 5, -1, -4, m in decreasing order.\nAnswer: m, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14454 and 6862.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53\/5? (a) 11879 (b) -3 (c) -1 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -36.7. Let j = 35 + i. Let s be 1*-3*1\/(-2). What is the second biggest value in s, -1, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:42 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*t - 209*t - 474*t - 12581 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49659772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -453*b + 3171. Let g be v(7). Put -1, 2\/13, 35, -4, g in increasing order.\nAnswer: -4, -1, g, 2\/13, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*j + 32 = 0, -j + 6 + 4 = -2*m. Let r be (-40)\/m*57\/(-19). Let o = 1 - r. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4271047 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*h = -252 + 2520 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6933253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q - 3. Let l(u) = u**3 + 50*u**2 - 49*u + 97. Let s be l(-51). Let h(a) = -4*a + 1. What is s*h(n) - 3*c(n)?\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + 5*a. Let n(p) = 8*p**2 + 6*p. Let v(z) = 6*j(z) - 5*n(z). Let m(h) = 0*h**2 + 5*h**2 - 8*h**2. Calculate v(m(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epf when three letters picked without replacement from feippin?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*1\/2*-2. Suppose j*a - 2*a = -40. Suppose -3*c = -2*v + 50, -6 = 4*v + 2*c - 90. What is the least common multiple of v and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -468699467670 and 0.004.\nAnswer: -468699467669.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*y - 37. Let i be (-12)\/9*(y + 47). Let p = -40 - i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -7*p**2\/2 + 7*p - 6. What is the first derivative of y(i) wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 12*l + 110. Let y be f(18). Suppose -91 = -y*u + u - 5*q, -286 = -3*u - 2*q. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:37 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -180.37.\nAnswer: 901.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 4. Let t be f(-3). Let j = -22 + 19. Suppose 0 = -2*l - 2. Sort j, l, t.\nAnswer: t, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/7)\/((-8)\/28). Suppose -f - 5*x - 13 = 0, 2*f + 49 = 4*f - 5*x. What is the highest common divisor of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -765 <= -764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488\/9 - 5530\/99. Let z = x + 20\/11. Find m such that -2\/11*m**3 - z*m**2 + 2\/11 + 2\/11*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*x + 2*z - 3*z, -33 = -3*x + z. Let l be 65\/3 - x\/(-36). What is the greatest common divisor of 154 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*o**2*p*z**2 + 7*n*o**2*z**3 + n*o**2*z**2 + 2*n*z**2 + 2*o**2*p*z - 3*o**2 - 7*o*p*z**3 + o*z**3 wrt z.\nAnswer: 42*n*o**2 - 42*o*p + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-59)\/(9735\/132)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032238 rounded to six dps?\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -1642*d + 1640*d + 4*q, d - 15 = -5*q for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(f + 0 + 0) + (-3 + 3 - 2)*(4*f + f - 3*f) + f + 1 - 1 - 69*f + 91*f - 121*f.\nAnswer: -100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = z + 4*f, 3*z - 5*f - 20 + 0 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2 - 30900888*i - 30900892 = 0.\nAnswer: -1, 7725223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/10 - 290*t**4\/3 - 1163*t**3\/3 - 582*t**2 + 101*t - 4. Find m such that u(m) = 0.\nAnswer: -1, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(17) + -3 + (sqrt(153) + sqrt(17))**2)*3 - (-2 + -1 + sqrt(833))**2*-1*6.\nAnswer: -249*sqrt(17) + 5853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(((-41856)\/(-2240))\/(-109))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1*(67 - 10).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.467994 micrograms?\nAnswer: 0.005467994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7033796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34764, -69516, -104264, -139008, -173748, -208484, -243216?\n\"Answer: 2*f**2 - 34758*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + -44 - -2) - (-252 + 241)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t = 44*t + 105 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -127, -258, -389, -520?\n\"Answer: -131*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 47*d**2 + 77*d - 4. Let a be y(-21). Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 - -2.6144709.\nAnswer: 2.8444709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(252)*5 - -2*(sqrt(252) + 1*sqrt(252) + sqrt(252) + sqrt(252))))**2 - (6*2*sqrt(21))\/(sqrt(48)\/sqrt(4)).\nAnswer: -6*sqrt(7) + 42588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -601 - -1079. Suppose -m - m = -y - 194, 0 = -5*m - y + j. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20844 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: Let z(f) = f + 7. Suppose 2*q - q - 25 = 3*t, 0 = 5*t - 3*q + 47. Let x be z(t). Suppose x = -c + 6 + 43. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -17. Suppose t*l = 7*l - 180. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {n: 1, g: 4, u: 6, e: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21338.\nAnswer: 2, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9718 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24188978.76+36201\nAnswer: -24152777.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 12*o**2 + 12*o - 4. Suppose 29 = -4*r - 15. Let u be t(r). Let p = u - -48. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.1? (a) 2 (b) 0 (c) 4\/5 (d) -234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = s - 12, 9 = 3*t + 2*s + 3*s. Let h = -1 + t. Suppose -w - h*a = -3*a - 2, w + 1 = 4*a. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 158338 = 57436. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (3*-7)\/(-3)*(-7)\/((-637)\/(-13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -30) + 9 + -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(-8)\/(-24)*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -i + 33 + 4, -17 = -o + 3*i. Solve -3*k - 6 = h + o, -k = -4*h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + p - 2 = 0, 4*z + 5*p = z - 22. Let m(s) be the first derivative of s**3\/3 + s**2 + s - 8. Calculate m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 3. Let p(h) = -35*h**2 + 30*h. Let o(j) = -j**2 + j. Let y(s) = -30*o(s) + p(s). Let n be y(-1). Let i = -2 - n. Calculate d(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17574*o**4 - 17954*o**2?\nAnswer: -421776*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 12*o + 2*o)*(1464*o**2 + 28*o**3 - 1464*o**2 + (-3 + o + 3)*(0*o**2 + 0*o**2 + 2*o**2)).\nAnswer: -300*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-3)\/(-6))\/1. Suppose -8*z + 9*z - 3 = s. Calculate the remainder when 10 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -287) + -25 + 20. Let n = f + -280. Solve -3*q + 20 = 5*k, n*k = q + q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30457 and 26106.\nAnswer: 182742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, d: 2, o: 2}. What is prob of picking 1 d and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*r**3*z**3 - 41*r**3*z - 30*r**3 + 41*r**2*z**2 - 13*r**2*z + 5*r - 845*z**3 wrt z?\nAnswer: -264*r**3*z + 82*r**2 - 5070*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (-2 + sqrt(17))**2).\nAnswer: -4*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 2. Calculate the common denominator of (179\/4 - c)*48\/(-1224) and -6\/11.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33547 - 33546. Let z = -0.3 - -0.27. What is the closest to -2\/7 in -2\/13, c, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152.618 - 153. Let t = g + 0.038. Let k = 0.044 + t. Which is the smallest value? (a) k (b) 14 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/2)\/o*o*((o**(-19)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - b - 2*b + 4*b + 0*b + (0 - 2 + 0)*(-3*b + b + 0*b) + 2*b - 2 + 2 + 58*b - 129*b - 58*b - 19*b + (-1 - 4 + 7)*(-b + 2*b - 2*b) + 0 + b + 0.\nAnswer: -142*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.7, -3, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47232 is divided by 379?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/8 + 7*i**2\/8 + i - 2.\nAnswer: (i - 1)*(i + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 2\/19 (c) 7 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14384*w + 14277*w = 28788*w - 3429 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 5*h**2 - 6*h + 3. Suppose 2 = -3*t - 13. What are the prime factors of q(t)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 - 6*h + 6. Let k be r(-6). Suppose k*t = t. Solve 2*f - 5*x + 10 = t, f - 2*x + 0*x = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -423922*p**2 + 279459 wrt p.\nAnswer: -847844*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394657697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*y + 21 = 0, 12 = 4*n + 5*y + 39 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10) + -4 + 305\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4763, -9527, -14291?\nAnswer: -19055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:28 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1078)\/(-153468)*29 - 8\/(-108)\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3, -n + x + 15289 - 15291 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from yyiiyieiiyei?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = -5*a. Let v = 8 + a. Suppose -j + 39 = 5*t, 6*t = 4*t + v*j + 19. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2\/4 + 267. Suppose 2*x - s = 70. Suppose -3*p = -3*q - x, -2 - 13 = 3*q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s**3\/5 - 933*s**2\/5 + 7128*s\/5 + 8073\/5 = 0 for s.\nAnswer: -1, 39\/4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -268, -380, -640, -1108, -1844?\nAnswer: -2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -46*n + 1843. Let a(h) = 11*h - 462. What is 25*a(j) + 6*r(j)?\nAnswer: -j - 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -89. Let s(q) be the second derivative of 0 - 4*q - 1\/6*q**i + 0*q**2. Let o(m) = 7*m. Calculate o(s(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 6)\/(2\/(-3)). Determine c so that 1\/3*c - 1\/6*c**4 + 1\/6 - 1\/3*c**d + 0*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 42083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7812 and 1006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 137*g - 58. Calculate i(69).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -32*f**3 + 4*f**2 + 2*f + 2. Let v be t(-5). Let l = -81863\/20 + v. Find the common denominator of l and -3 - -7 - (-109)\/(-24).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-18)\/3 - 5. Let g(s) = s**2 + s + 2. Let w(x) = -x**2 - 2*x - 3. Let m(k) = c*g(k) - 3*w(k). What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 306*w**4 + 182.\nAnswer: 1224*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*z - 513*z + 114 = 492*z - 2406 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 510 - -3520?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*h**3 + 4626*h + 45*h**2 - 4626*h + (0*h + 2*h + h)*(0*h**2 - 2*h**2 + h**2).\nAnswer: 72*h**3 + 45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/5)\/((-1)\/(-5)). Let s be -10 + 1 + 5 - (-6)\/1. Suppose 3*w + 4*t = -s*w + 24, w = t + 3. Solve 10 = -w*g + z*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 a factor of 154192526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671 = 2780*s - 2841*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -893*p**2 - 47. Let z(o) = -94*o**2 - 5. Give 5*a(u) - 47*z(u).\nAnswer: -47*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 2\/6*-3. Let z be 6\/(-1)*(s\/(-15))\/1. Let h(m) = 647*m + 4. Let t be h(z). Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from kkkkkknknnnnkkkk?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 - w + 745. Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2*m**3\/3 + 18*m - 2. Let b(p) = -36*p**2. Determine b(z(r)).\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, -2.6, 3, 0.16, 1.9 in descending order.\nAnswer: 3.4, 3, 1.9, 0.16, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 19*j - 16*j - 5*x, x + 10 = -3*j. What is the closest to 47 in j, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(21\/(-105))\/(0 + 27\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732872?\nAnswer: 2, 7, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.395 rounded to one dp?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22001002110012 (base 3) to base 13\nAnswer: -b67c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.2. Let i = 298.2 + -300. Let p = u + i. Which is the closest to p? (a) -0.1 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 6. Suppose 36 - 10 = 4*c + x, 0 = -3*c - 3*x + 24. Let w be 1*(3 - c) + -6. Let h be z(w). Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 186 + 230 = 0 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 46*r**3 + 24*r**2 - 40*r + 29. Let o(g) = -10*g**3 - 5*g**2 + 8*g - 6. Determine 3*n(d) + 14*o(d).\nAnswer: -2*d**3 + 2*d**2 - 8*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6151983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2458*k**2 - 1260*k**2 + 3440*k**2 + 1764*k**2 + 1399*k**2.\nAnswer: 7801*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = 2*d, -3*w - w = -5*d + 11. Sort w, 0, -2, 5 in ascending order.\nAnswer: -2, 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 1355*u**2 + 8265*u + 12465.\nAnswer: -5*(u - 277)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 0)*((-3624)\/8)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 206, 206, 170, 86, -58, -274, -574?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125896466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1608\/257 in -5, 4, -0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 381 (base 13) to base 12\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 17 - s - 31 + (0*s + 0*s + s)*(0 + 1 - 2).\nAnswer: -2*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let b = 5 - w. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**3 - 11*g**2 - 21*g + 13. Let y(a) = 39*a**3 - 46*a**2 - 79*a + 50. Calculate 19*d(p) - 5*y(p).\nAnswer: -5*p**3 + 21*p**2 - 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 1\/2*s**2 + 0 - 7*s. Let j(p) = 2*p + 4. What is -2*d(t) + j(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -73 + 49 + (-7 + 1 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g**6 - 16*g**6 + 36*g**6 - 6*g**4 + 16*g**2 wrt g?\nAnswer: 360*g**3 - 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 159428*r + 19594515 = 0.\nAnswer: 123, 159305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490219974?\nAnswer: 2, 3, 313, 87011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 0.07, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37.14 times 5438\nAnswer: 201967.32","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -5, -10, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6079, -24703, -55867, -99565, -155791?\nAnswer: -224539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t = -0*t + 33712. List the prime factors of t.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 279*x**2 + 418*x - 633. Let g be p(-141). Solve -18*n = g + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/8 + 61241\/(-376). Let d = 688 - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238455 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -142. Let z = -19 - m. Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + b + 3*l = 18, 2*b - 3*l = -21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 85*k**2 - 4. Let q(u) = 18954*u**2 - 891. Give 891*d(c) - 4*q(c).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*t**2 - 691*t**2 + 2516*t**2 - 564*t**2 - 880*t**2.\nAnswer: -370*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -873 - -951. Let w = 0 - -1. Calculate the remainder when x is divided by w + -1 + 27*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12174*f**2. Let r(w) = 8*w. What is v(r(j))?\nAnswer: 779136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 20400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -312*j + 5305. Let q be p(17). Let v be (-5*(-6)\/250)\/((-3)\/2). Let x = -1.3 - -0.3. Sort v, x, q in increasing order.\nAnswer: x, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3 and 46\/2745?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 5\/3, -5, 2, 34939.\nAnswer: -5, -4, -1\/3, 5\/3, 2, 34939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 - 5.37. Let j = -0.1 + 1.1. Which is the nearest to j? (a) z (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (1 - (-19 + 2) - (-921 - -948)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-969)\/(-38))\/(-17)*19\/(2660\/8)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3945 - 3945. What is the biggest value in -4\/29, x, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2130230000 (base 4) to base 15.\nAnswer: -ca262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - -0.3. Let w(h) = h**3 - 7*h**2 + 7*h - 6. Let q be w(6). Which is the nearest to -0.1? (a) -2\/13 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Let z(w) = -4*w - u + 3*w + 4 - 3*w**2 + 2*w. Determine z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*d*g - 2*d + 16*g + 2072 with respect to g.\nAnswer: -102*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.6 (b) 0.3 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.3. Let u = 5.6 - 5.7. What is the closest to a in 0.2, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1679000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 8:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177, -53, -283, -513, -743, -973?\n\"Answer: -230*m + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 1 - 3)*(-1 + 2 - 2) + 8 + 9 - 22)*(-1 + 1 + 1)*(13*a**2 + 2*a**3 - 13*a**2 + (2*a**2 - 2*a**2 - 2*a**2)*(1 - 1 + 2*a)).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1347 = 5*n + 418, -5*n + 2*w + 931 = 0. What are the prime factors of n?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 20*h - 523. Calculate w(32).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 246*q**2 - 9870*q + 128122.\nAnswer: -2*(q - 47)**2*(q - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = j - 21, -3*j - 79 = -82 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9\/7)*k)\/k*k**(-12\/11))\/(k**15)**(13\/8) assuming k is positive.\nAnswer: k**(-16479\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.9 - -47. Let d = -2.71 - j. Let h = d + -1.79. What is h rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 579, 875, 1171?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 104*z**2 - 364*z + 264.\nAnswer: -4*(z - 22)*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a century in years?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1176 (base 12) to base 6\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/5 (c) 23\/2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 3*q + 15. Let t(d) = -5*d**2 + 7*d - 30. What is 3*t(m) + 7*y(m)?\nAnswer: -m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 31*y + 19 = 0. Suppose 0 = -15*h + y*h - 32. Let f(u) = u**3 + 6*u**2 - 9*u + 1. Calculate the remainder when f(-6) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:18 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 7*w + 19*w = 0. Let z(n) = -7*n + 6761. Is z(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8 + -48 + 36 + (1 - 43)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -247, -387, -581, -847?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 96*p - 16162. Determine z(207).\nAnswer: 3710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66089759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 14*l**2 + 41*l - 139. Let f be u(16). Suppose 28 = 6*q - 20. Solve -2*p - 6 = -f*p - h, -4*p + 4*h + q = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25450\/(-99255)*13\/2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 28. Let s = l + 37. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + m + 462, 3*h + 7*m - 266 = 2*m. What is the lowest common multiple of h and 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -840, -1162, -1468, -1752, -2008, -2230, -2412?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -2. Let d(v) = v**2 + 0*v**a + 1 - 5*v + 6*v. Suppose 11 = 13*o - 15. Let k(g) = 4*g**2 + 5*g + 5. Give o*k(t) - 10*d(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.01 - -20.07. What is the closest to 3 in x, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 17*t - 2980 = 0. Suppose 0 = -156*q + t*q + 707. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -62 - 20*w**2 + 13*w**4 - 5*w + 34 + 20*w**2. Let m(y) = 25*y**4 - 9*y - 54. Let s(l) = 6*m(l) - 11*z(l). What is the derivative of s(k) wrt k?\nAnswer: 28*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5 + 2 + 38)*(0 - 2 + 3).\nAnswer: 2*r + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*d**5 - 427*d**2 + 3*d - 542.\nAnswer: -660*d**3 - 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.2. Let j = -27.8 - q. Let n = j + 27.999998. Round n to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 675.265 milliseconds?\nAnswer: 675265000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:37 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8112)\/3042)\/(4*(-5)\/60).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -652 + 1799. What is the lowest common multiple of f and 10?\nAnswer: 11470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176798 and 36104098.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/60 - (8 - 138\/15).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 44*i**3 - 8*i - 17. Let d(w) = 15*w**3 - 3*w - 6. Determine 17*d(h) - 6*p(h).\nAnswer: -9*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 538.8 + -269. Let u = h + -270. Which is the second smallest value? (a) 1 (b) -8 (c) u (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 365*s**4 + 210*s**2?\nAnswer: 8760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 15072\nAnswer: -1\/7536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 631205359 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 = 5*d, -3*d - 1 = -q + 2. Which is bigger: 2\/63 or q?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 3:36 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -1\/16*o**4 + 1\/4*o - 1\/12*o**3 - 59 + 1\/8*o**2. Factor k(u).\nAnswer: -(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -5. Let f = -196 + 1374\/7. Let z = 0.8 + -0.7. What is the biggest value in z, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529143414*z**4 - 165088*z**2 + 669?\nAnswer: -12699441936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-13 - (-22 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q*u**5 + 114*q*u**3 - 282*q*u + 6*u**2 wrt u.\nAnswer: -240*q*u**2 + 684*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37924560 and 1440?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -110*m**2 - 760*m - 515. Let g(r) = 10*r**2 + 69*r + 47. Let a(y) = 6*c(y) + 65*g(y). Find t such that a(t) = 0.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 bigger than 82\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 16, -4 = -5*f - 2*s + 6*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -586 (b) 0.5 (c) -2\/15 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:22 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 5.981.\nAnswer: 7.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 2 (c) -2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 21 + 13 - 44226*j**3.\nAnswer: -44226*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*s + 15, 0 = s + s - 4*t + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w + 45. Is p(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(300) + 1*sqrt(300)).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6\/5))**(-6\/5)\/((h\/(h*h*(h*h\/(h**(-2\/5)*h))\/h))\/h)**(-1\/20) assuming h is positive.\nAnswer: h**(-69\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 9*x + 44. Let l(k) = -k**3 + 5*k**2 + 1. Let a(v) = v**3 - 6*v**2 - 1. Suppose -4*c + w = -23, 5*w - w = -5*c + 13. What is c*l(i) + x*a(i)?\nAnswer: -i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 101*i = -337*i - 323*i - 57120 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -618.3 + 618. Sort 1, h, 4, 1.6 in increasing order.\nAnswer: h, 1, 1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1383.9 - -1379.9. Which is the closest to -1? (a) 36 (b) -5\/2 (c) s (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v - 7. What is t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37774 = 4032*q - 598*q. Let x = 9 + -1. Put q, 3, x in decreasing order.\nAnswer: q, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*q + 5*q - 162 = 0, 4*q + 20 = 0. Let v = i - 79. Let s(d) = -d**3 - 3*d**2 + 2. What is s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1557*z - 15001 = -988 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 3*n + 2. Let m be x(-2). Let k be (-2)\/m - (-7)\/2. Suppose -2*a - k*a = -5. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88241\/52 + -1697. Which is bigger: t or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*d - 0*f - 27, -2*d + 4*f + 339 = 309 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s**3 + 3*s**2. Let n be (2 - 77\/7)*(-6)\/9. Let a(b) = -b**3 - b**2. Determine n*a(z) + 2*k(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 1729105891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1485207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 374149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x*x*x)\/(x\/((x*x**(-2\/3))\/x)) assuming x is positive.\nAnswer: x**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 14*r**2 + 17. Let l be z(13). Let h = l - -227. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216440 rounded to the nearest 1000?\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:25 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:22 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**2 - 640068*a + 7041111 = 0?\nAnswer: -213367, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 72 + 60. Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*w**2\/3 - 113*w\/6 + 1.\nAnswer: -(w + 2)*(58*w - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.037726 days to hours.\nAnswer: 0.905424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g + 191*g - 24*g)*(-3*g**2 + 2 - 2).\nAnswer: -540*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 417*n - 37120\/3.\nAnswer: (n - 29)*(n + 1280)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69024518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.03 - -632246457.\nAnswer: 632246475.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - 632\/9. Let l = n + 137. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -9862915\nAnswer: 4931457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 + 70*w**4 + 320*w**3 + 320*w**2 - 1280*w - 2560 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.3, -2\/5, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 + 0.4. Let k = -1 - -1. What is the second biggest value in 3, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.9 - -143.9. Let k = o - 129. Which is the biggest value? (a) 0.3 (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4292, -322, 143 in ascending order.\nAnswer: -322, 143, 4292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -19 (b) -0.8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 33*w - 2. Let f(n) = 16*n - 1. Suppose x + 6 = 2*b, 18*b - 12 = 4*x + 16*b. What is x*d(q) + 5*f(q)?\nAnswer: 14*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(8\/(-6)). Let v = z + 1\/6. What is the nearest to v in 5, -20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 244352, 488682, 733012, 977342, 1221672, 1466002?\n\"Answer: 244330*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 6414 (c) -12 (d) -14 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 + -2 - (-8 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1197 * 478.26.\nAnswer: -572477.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32288930689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w*w*w\/w**(10\/9)*w*w*w))**16*(w*w*w**8*w)**(9\/7) assuming w is positive.\nAnswer: w**(-3029\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1202 - -2366. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2 + 6*q + 12*q + 15*q**2 - 12. List the prime factors of c(-8).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.088235 centuries?\nAnswer: 60.88235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Solve 0 = 2*i - 2*n + m*n + 14, -3*n = -3*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-14 + -37 + 12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.49 or -423550?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 + 21.8. Let r = -76 - -62. Let d = r + o. Put d, 1\/3, -2 in decreasing order.\nAnswer: d, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.02 - 0.02. Let d = 1.5 - z. Let h = 0.4 + d. Which is the nearest to h? (a) 0.1 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3503 and 291062.\nAnswer: 287559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22726 divided by -4\nAnswer: -11363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224635 (base 10) to base 9.\nAnswer: 2265785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 + 22*s - 96 = 0?\nAnswer: 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14322, 57280, 128876, 229110, 357982?\nAnswer: 515492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248 at least as big as 8881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215*l**3 + 1335*l**2 wrt l?\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 333305.1m in centimeters?\nAnswer: 33330510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 minutes after 11:10 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (47\/329)\/((-1)\/(-14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254484*h**2 + 8546*h**2 - 39470*h**2 + 338737*h**2.\nAnswer: 562297*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*o = 3*f + 9830, 3932 = -2*f + 5*o. Let c = 4793 + f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22870, -45696, -68518, -91336, -114150, -136960?\nAnswer: -159766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125 - -106?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 15*g**2. Let m(s) = -8*s - 91243628 + 91243628 + 2*s**2. Give m(q(k)).\nAnswer: 450*k**4 - 120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4399, -2, 40, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/450 and 139\/11040.\nAnswer: 165600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*q - 72, -31979 = d + 5*q - 31983 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, -25, -96, -173, -256?\n\"Answer: -3*o**2 - 56*o + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 11267.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*p + 16, -5*p - 4 = -5*i - 19. Let r be 1\/(p + -2 + -3). Let j = -50\/3 + 16. Which is the third biggest value? (a) j (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 55 = -5*h. Suppose 56 = 5*u + 2*p - 269, h*u - 195 = -p. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11112, 11081, 11050, 11019?\nAnswer: 10988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 10*w**2 - 13*w + 22. Let n be j(9). Let y = n - -443. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8300 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8312*f - 124395. Determine v(15).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -4 + 6*1*sqrt(832)*-6 + 2 + -1 + sqrt(832) + 2)**2.\nAnswer: -5096005 + 2800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 81*g**3 - 3*g**2 - 7. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -911*s**2 + 911*s**2 + 144*s**4 - 5*s**5 + (-s**3 + s**3 + s**3)*(-1 + 2*s + 1)*(-4 + 4 - 2*s - 3).\nAnswer: -9*s**5 + 138*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - 0. Let j = b + 2.8. Let s = -66.7 - -66.5. Sort -0.1, j, s, 0.2 in ascending order.\nAnswer: s, -0.1, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 1233 + 1443 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (3 - -64))*-2. Let j = w - 95. Calculate the remainder when j is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2065*c - 89. Let n = -670 - -664. Is k(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22613559588+3.1\nAnswer: -22613559584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 3*w + 75. Let j be h(0). Let g = j - 73. Suppose -5*r + 175 = g*r. What is the remainder when r is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2509 and -0.03266?\nAnswer: -81.94394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(2\/6 - (-28)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 4403?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 3*m. Let y be (2*m)\/(4\/30). Let g be -3*y\/9 + -2. Solve -3*o - g*c + 7 = -5, -3*o + 12 = -c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 48*g + 25. Calculate the remainder when h(11) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*r - 41 = 0, 0 = -2*r - 1 - 1. Let b(g) = -g**2 + 8*g + 12. Let z be b(p). Suppose -z = -3*d + 6. Solve d*w + 8 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 + 2*g**3 + 7)*(-4 + 4 - 1).\nAnswer: -2*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*y**3\/5 - 8*y**2 - 10*y\/3.\nAnswer: -2*y*(6*y + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - p**5 - 2*p**5 + (4*p**4 - 3*p**4 + p**4)*(-7*p + 0*p - 2*p).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1962)\/(-14)) + (-7)\/(-49). Let m = z + 144. Solve -f = -m*t + f - 10, f + 25 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*z**3 + 36*z**3 + 35*z**3 + 35*z**3 + 39*z**3 - 116*z**2.\nAnswer: -z**3 - 116*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j + 1\/120*j**6 - 1\/20*j**5 + 1\/24*j**4 + 0*j**3 + 0 + j**2. What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363621*q**2*u + 3*q**2*x - 4*q**2 - 85*q*x + 252*q + 418*u*x wrt u?\nAnswer: 363621*q**2 + 418*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2850 and 425220?\nAnswer: 2126100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16695 and 22060773?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = -5*u + 9, 4*q - 102 = 2*u. Suppose 2*n - 6*n + q = 0. Let v be 0 + -1 + n\/3. Put v, 4, 3 in increasing order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4481?\nAnswer: 2\/4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 8) to base 7.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-45)*(-5 - (-445)\/(-160)*-4) and -19\/1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977786?\nAnswer: 2, 488893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -a - 6*a. Suppose 5 = -5*r, -r + 0*r = -a*f + 325. Suppose 2*j = -5*p + f, -3*j = -p + 3*p - 41. Calculate the least common multiple of p and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 25*l - 88. Give q(23).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y)\/y)**(1\/3)*((y\/(y\/(y*y**(1\/2)\/y)))\/y)**50 assuming y is positive.\nAnswer: y**(-301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/12 - 2*j**3 - j**2\/2 + 3*j. What is the remainder when t(-11) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-66)*22\/(-20)*(-91)\/1001*5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43662 + 18349.3?\nAnswer: 62011.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000110651 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280*i - 1277*i = -27*v + 9*v + 690, -5*v = -3*i - 207 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.025 - -0.355. Let x = 35.33 - m. Let g = x + -34.9999962. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 11*q + 14. Let k be z(12). Let w = 2 - -3. Let m(s) = -3 - w*s + s**k + 2 + 2. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 286515*q + 145. Let p(b) = 2*b. Give p(a(h)).\nAnswer: 573030*h + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**23*((s*s**(-2\/7)*s)\/s)**(2\/11) assuming s is positive.\nAnswer: s**(-3532\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 255584221063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -232023320312?\nAnswer: -232023320322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10580 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71602.9ml?\nAnswer: 71.6029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - -1*sqrt(180) - sqrt(20))\/sqrt(10).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 51?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727.1 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 2249 = -7961. Is p a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -1, -52, -5 in decreasing order.\nAnswer: 4, 1, -1, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.481 (c) -3 (d) -1\/11 (e) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -223000231 (base 4) in base 12?\nAnswer: -85b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20019, 19891, 19729, 19533?\nAnswer: 19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773 is divided by 199?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/32336 and -29\/42.\nAnswer: 679056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321005 (base 7) to base 12.\nAnswer: -281ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 10) to base 6.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/13)\/h**3)\/(h**18*h\/(h\/h**(5\/8)*h)*h))**(-49) assuming h is positive.\nAnswer: h**(109417\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2453*m + 59. Is o(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 + 34 = 0. Let q(p) = 4*p - 5. Let j(r) = 6*r - 8. Let t(h) = w*q(h) + 5*j(h). Let s(d) be the first derivative of d**3 + 4. Determine t(s(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 5, 3\/26?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2327756 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 1. Let d(v) = -3*v**2 + 3*v - 3. Let b be d(2). Let p = b - -29. Calculate the remainder when p is divided by x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 40*v**3 - 679*v**2 - 41*v + 267. Give p(17).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746746*k**2*r**4 - 7*k**2*r**3 + 3*k**2*r**2 + 3838800*k**2*r - 7*k wrt r.\nAnswer: -17921904*k**2*r - 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18adc + -a2a?\nAnswer: 180b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 + 128 = -4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 3. Let k be y(0). Let g(n) = 4*n - 6. Let d(h) = 7*h - 11. Let c be (-15)\/(-2)*(-2)\/3. Give c*g(r) + k*d(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/16*4)\/1. Let v be (-1 - i)\/(-1) - -21. Calculate the greatest common factor of v and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(4*(-91)\/(-104)))\/(20\/14)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from zzrrzrrzrrrzz.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.092688838 rounded to 3 decimal places?\nAnswer: -5.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 228*m**3 + 8*m + 7. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5202544 by -76508.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3\/3 + 2*f**2\/3 - 20*f\/3 - 8\/3 = 0 for f.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-31 + -2)) + 20.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 5*p**2 + 3*p + 4. Suppose 8*u = 2*u - 18. Let g be i(u). Solve 0 = 2*c - g*t + 3*t + 6, 0 = -4*c - 5*t + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2. Calculate the remainder when w(4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 584.2409 years?\nAnswer: 5.842409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86084795 + -472519449713\/5489. Let j = s - 2\/499. Find the common denominator of j and 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/728 and 59\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23391901 - 98222591737\/4199. Let w = m - 4\/247. Let q = -247.4 - -247. Which is the smallest value? (a) w (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 6*v - 1557. Suppose 0*s = -4*s + v. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 59*j**4\/4 - 94*j + 19. What is the first derivative of o(s) wrt s?\nAnswer: 177*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8013 + -1884. Suppose 0 = -33*d + r - 1905. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwswwwwwswwwwwwwwww?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - z + 16 = 0, -39*z + 32 = 4*c - 43*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.1, -9635, -0.3.\nAnswer: -9635, -0.3, -0.1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 962073890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11786, 11789, 11794, 11801, 11810?\n\"Answer: t**2 + 11785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + 112 + -155?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 954843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2131\/216 - 7\/216. What is the common denominator of w and -145\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40052 (base 8) to base 4.\nAnswer: 10000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*s**2 + 80*s**2 + 0*s**2 - 165*s**2.\nAnswer: -234*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238717224?\nAnswer: 2, 3, 89, 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/26 + -2\/13. Let g be (-24)\/(-15)*-3 + 5. Let q = -0.1 + -1.9. Which is the nearest to z? (a) g (b) 1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79980 and 36580?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**3 + 2*x**3 - 5*x**3)*(-2*x + 5*x - 5*x) + 9*x**2 - 26*x**4 + 49*x**4 - 22*x**4 to the form s + j*x**2 + a*x**3 + n*x**4 + c*x and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -177, 0, -200?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/985438?\nAnswer: 35\/985438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 44\/41 (b) 0.08 (c) 0.022 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27407\/260 - 1449\/13. What is the common denominator of -31\/2 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*20\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from {u: 7, a: 5, p: 1}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -23*t + 25*t - 24270, 0 = -3*j + 4*t + 72850. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 14398271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 3*g + 3*h, h - 176 - 181 = g - 428 for g.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 1565 = -123*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35701 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -23*d**2. Let j(c) be the first derivative of -2*c**3\/3 + 440. Determine j(z(g)).\nAnswer: -1058*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = d + 2, -7 = -3*d - 2*u + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -5.158\nAnswer: -0.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.5 (b) 2 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-11 + (20 - 23)) - -9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 71*z**2 + 206*z - 9679. What is d(72)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4216807 rounded to 4 decimal places?\nAnswer: 0.4217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 63*z**3 + 2*z**2 + 10*z + 31. Calculate a(-3).\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3164 + -15819\/5. Which is the second smallest value? (a) 0 (b) 1 (c) -0.44 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 44 = -s, z - 7*s - 9*s + 11*s = -3*s + 23 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243*p**2*s + 771*p**2 + 9*p*s**3 wrt s?\nAnswer: 243*p**2 + 27*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-30)*((-17)\/4 + 2) - (-9628)\/(-5395)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/21*(-3)\/(-9)*-9\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*1)\/(3\/(-2)). Let f be 1*w + 9\/(-6). Let j = 274726 - 274725.5. Which is the nearest to f? (a) 2 (b) 12 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231*y**2 - 166 + 434 - 130*y + 229*y**2.\nAnswer: -2*(y - 2)*(y + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -38*1\/(-2) - 0. Suppose 3*z - 53 = 157. Let o = z - -6. Calculate the highest common factor of o and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -20 + 9 - (1 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-103994)\/(-21) + 286\/231 + (-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0 + 8. Solve 2 = v*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {r: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*m + 0*m + 2 = 0, 6 = 2*v - 4*m. Let t be (3\/295)\/(12 + 108\/(-8)). Is v less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564098, 1128195, 1692292, 2256389, 2820486?\nAnswer: 3384583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/16591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8423, 8490, 8563, 8648, 8751?\nAnswer: 8878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-778340)\/((-6)\/(-120) - ((-29)\/(-4) + -7)). Round x to the nearest ten thousand.\nAnswer: 3890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15)*f*f**13)\/(((f*f*f\/(f\/(f**(-6)*f))*f)\/f)\/f**(-20)) assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3*8\/12). Let d be v + -3 + 50 + 2. Let p be d\/70 - 2\/5. Which is the third biggest value? (a) -4 (b) 19 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-743549)\/31)\/((-168)\/284*55). Let x = 69173\/93 - o. Let y = -40\/77 - x. What is the common denominator of y and -57\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 22 = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z - 2. Let l be k(-3). Determine j so that -8*j**l - 41*j**3 + 8*j**2 - 9*j**5 + 4*j + 51*j**3 - 4*j - j = 0.\nAnswer: -1, 0, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/9, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 14*y**2 + 10*y - 75. Calculate j(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7951.58 to the nearest ten.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.2. Let g = 7 - 7.5. Let r = -0.24 + 0.04. What is the closest to 0 in g, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -37\/1073022 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/7*r**2 + 0*r - 9\/7*r**3.\nAnswer: -3*r**2*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13429895.\nAnswer: 5, 383, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -23.4. Let i = t + 8.4. Let n = -31 + i. What is the nearest to -1 in -1, -2\/3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 12, 5, 87, 6, -2, -804?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - 3*j**2 + 7*j**2 + (-j + j - j)*(j + 1 - 1))*(-j + j**2 + j) as s*j**3 + l*j + k*j**2 + q + i*j**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-341033.4\nAnswer: 238723.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356095 - 682171 - 18*x**3 + 326076.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -17349153.\nAnswer: -693966.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okpkkpkhkm. Give prob of sequence mopk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 13*o + 32. Let n be z(10). Let k(x) = x**3 + 2*x**2 - 4. Let w(h) = -h**3 - 3*h**2 - h + 5. Calculate n*w(u) + 3*k(u).\nAnswer: u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*d**2 - 38*d**3 - 24*d**2 + 53*d**2 + 54*d**2.\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 11)*10\/4. Suppose w*p + 4*f = -0*p + 28, 6 = p + f. Calculate the lowest common multiple of p and 1892\/242 + (-2)\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6234 + -6234.006618. Round m to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 3834877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 223 = 79. Let u be (1 - 16) + -1 + -1. Let g = u + v. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 6*s**2 + 6*s + 14. Give m(4).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4433 + 4661. Solve 6*g + f = -32*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16170 divided by -165\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {a: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 2*u + 2. Let c = 188 - 304. Let f = c - -121. Give x(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - 35. Let o be (d\/(-25))\/((-6)\/(-440)). Let p = o - -178. What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = 3*y - 72, -67 = -5*o - 42 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 2 (b) 0.4 (c) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696 and 936?\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 1 + 0*y**3 + 1\/5*y**5 + 0*y - 3\/2*y**2 + 0*y**4. What is the second derivative of p(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (sqrt(3564) + 2*sqrt(3564))*5 + (sqrt(3564) - (sqrt(3564) + (sqrt(3564) - (sqrt(3564) + -3 + 1 + sqrt(3564))))**2) + sqrt(3564))*-4.\nAnswer: -1224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - -5*2*sqrt(1088).\nAnswer: 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/2 + 4480\/(-2280).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -473*o**2*s + 869*o**2 + 22*s**4 wrt s?\nAnswer: -473*o**2 + 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2.1. Which is smaller: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(0 - -3)*0\/(-1). Which is the nearest to -0.1? (a) o (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12441.925 - 12442.02499989. Let f = 2.9 + -3. Let n = f - o. What is n rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q. Let v(w) = 5*w. Suppose r - 6 = -2. Let o(k) = -6*k. Let g(i) = r*o(i) + 5*v(i). Let a = -25 + 26. Calculate a*d(m) + 4*g(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 24. Let m be h(-12). Let s(v) be the first derivative of -4*v**2 + 12*v - 8. Let a(x) = x - 1. Calculate m*a(d) + s(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*x - 158*x - 156*x - 139*x - 134*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35525123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 5:28 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-84)\/8)*3. Suppose -4*p + z*m + 34 = m, -4*p + 40 = -4*m. Suppose p*g = 12*g - 436. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 33\/1271, 1\/3, -0.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 924\/297000*75*-42?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33001 + -32154. Calculate the greatest common divisor of z and 2783.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/((24\/40)\/((-54)\/20)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3668348*j**6 + 2*j**2 + 65880*j?\nAnswer: 440201760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 13*m\/5 - 22\/5.\nAnswer: -(m - 11)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 1:11 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6105949 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**3 + 25*f**2 + 43*f - 3. What is r(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 611712, 612435, 613158?\n\"Answer: 723*u + 610989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20301365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*d - 16 = j - 3*j, -4*j = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52, -35912, 0, -13 in increasing order.\nAnswer: -35912, -52, -13, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -865 - 21034961.\nAnswer: -21035826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 10*n - 24. Suppose n*l = -p + 8, 0*l + l - p = 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 13, -171, -664, 4 in decreasing order.\nAnswer: 13, 4, 1\/6, -171, -664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 57*m - 948. Calculate y(20).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 25. Solve 2*i - d = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 1. Let b be g(-1). Let z be 5\/(-7)*9\/(-15). Sort 2\/13, b, z in ascending order.\nAnswer: b, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9830 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjtrt. Give prob of sequence trr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/12 - (4 - (28\/8 + 2)). Let m(d) = d**2 + 11*d - 27. Give m(v).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*m - 13, 4*m - 14 = -4*o + 14. Let w(l) = 290*l - 37. Let v be w(4). Let f = v + -1115. Solve -m*b + f*b = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 1.22. Let p = 1.2 - s. Put p, 2\/5, -0.1 in descending order.\nAnswer: 2\/5, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*32\/30 - 16\/(-40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -44*q - 147*q + 80352. What is the remainder when q is divided by 110?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*30\/(-25) - -1. Factor -81 + 206 - 45*o**2 - 75*o + 2*o**3 - k*o**3.\nAnswer: -5*(o - 1)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46\/3, 6, -73?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.16, 260, 0.17, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 75900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 228\/149, 1\/2, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7902, 7872, 7842, 7812, 7782?\n\"Answer: -30*r + 7932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*n - 2*r, 3*n - 10 = 5*r. Let w be (-27)\/(-18) + n\/(-2). Suppose -q = -w*u + 8, 4*q - 4 = 3*u - 23. Solve t + 0*t = -u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(-p - 3*p - 2*p) + (0*p + 6*p - 2*p)*(-2 + 4 - 3) + 0*p + 2*p - 4*p)*(p**4 - 2*p**4 + 5*p**4).\nAnswer: -48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - 4*o + 3*o)*(10*o**2 - 9*o**2 + o**2) + 17*o**3 - 36*o**3 - 31*o**3)*(2*o**2 + 0*o**2 - o**2).\nAnswer: -52*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siesslsiseelismsreil. What is prob of picking 3 s and 1 m?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 136*u. Let h(j) be the second derivative of j**3\/6 + j - 555. Give h(y(v)).\nAnswer: -2*v**2 + 136*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {f: 1, l: 9, b: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 3*o = -8*j + 7*j + 81, -24*o = j - 21*o + 9 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0.08, 13, -2.7, -0.5 in decreasing order.\nAnswer: 13, 2, 0.08, -0.5, -2.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -651?\nAnswer: -94\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 70 (c) -2\/13 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4814204, 1, -2 in descending order.\nAnswer: 1, -2, -4814204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -233*x + 1736. Let k be y(6). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)*h)**39*h**(-3\/2)\/(h\/(h\/(h*h\/h**4*h)*h)))\/(h**3*h**(2\/13)*h*h*(h**0)**(-2\/17)) assuming h is positive.\nAnswer: h**(2437\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Suppose 25 = 5*d, 5*x + 3*d + 2*d - 30 = 0. Let m(p) = p + 2. Let r(b) = -1. Let u(k) = x*m(k) + 2*r(k). Calculate a(u(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.58473 micrometers in nanometers?\nAnswer: 93584.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15678 + 50717. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 + 33. Let c = q - 210.3. Is c <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -18*f + 16. Let y(j) = 18*j - 15. Let z(t) = -4*w(t) - 5*y(t). Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336819 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 + -209. Suppose 6*s + h = 276. Solve -8*y + 6*y = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/(-117)*(-195)\/(-50)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8198 (base 15) to base 16\nAnswer: -6ae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 - -1541 - (5 + -5) is divided by 518.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1584960 and 139\/274320?\nAnswer: 14264640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-1602)\/8. Let m = -129 + r. Is m*(-3 + 0)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 7*x**2 - 3*x - 3. Let v be q(2). Suppose -5*g = 5*d - 4*g - 16, 3*d - 5*g - 4 = 0. Let l be (1 - -1) + 3 + -5. Solve l*s + d*s = v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37861 + -37861.00011399. What is i rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1 - (-1 + -4). Let w be (3 - (-84)\/(2 + 1)) + 4. Suppose -2*m = w - 39. Solve 0 = -3*a + j*b + m, 0 = -4*a + 2*a + 2*b + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060*y**2 + 4*y**2 + 0 + 0.\nAnswer: 1064*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*r - 185 + 8 = 0, 103 = 3*v + 2*r. Suppose 0 = p + 2*w - 77, p - w = 6*p - 358. Calculate the remainder when p is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/16*(4 + -2). Suppose 0 = -0*t - t. Sort t, s, 13 in ascending order.\nAnswer: t, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose 0 = 5*a - 4*p - 19, x*p - 7 = -3*a - 2. Suppose a*b - 49 = 206. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*b + 3*b + 336. Suppose 0*z + 3*k = z + 1, 3*k - 33 = -3*z. Suppose z*p - b = -0*p. Solve -p*q + 11 + 3 = 4*v, -4*q + 5*v = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 8:51 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -53. Let f = 13 + x. What is the second biggest value in -5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187502.\nAnswer: 2, 3, 47, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.035, -1\/3.\nAnswer: -1\/3, -0.035, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3586 and 714272031?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*b - 66301 + 78208 = 324*b for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {l: 5, b: 2, q: 2, h: 1, i: 1, m: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287742332.4 + 16256517.6. Let q = k - 303998625.9999548. Let t = q + -224. What is t rounded to 6 dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/4)*j*j**20 assuming j is positive.\nAnswer: j**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2*n**3\/3 - 2*n. Let m(b) = 3*b + 7 + 0 - 7. Give d(m(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1380)\/100)*18\/40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-124)\/186 - -109*(-4)\/(-6). Calculate the greatest common factor of 792 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7695, 3, -12, -1, -27 in increasing order.\nAnswer: -27, -12, -1, 3, 7695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 413e?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/7 (c) 22280\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 6836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819.21554*-0.5.\nAnswer: 409.60777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 288 = -3*q. Let d(o) = -16*o**2 + q*o**2 - 18*o**2. Let j(u) = -u + 1. Calculate j(d(a)).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 - r. Let a be l(1). Let y = 1671 + -1671. Solve -c - c - 1 = u, -a*c - 3*u - 7 = y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 203*a - 3278. Determine k(16).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/35 (b) 3\/7 (c) 1\/9 (d) 0 (e) -172 (f) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9346 + -9240. What is the smallest common multiple of 265 and b?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 51843107\nAnswer: -4\/51843107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Let m be f + 1 + 2 + 1. Solve 0 + m = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 853*t**5 - 533*t + 1.\nAnswer: 17060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5 + 14. Suppose v*g - 1348 = -5*u + 897, -4*u = -8. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(104\/53196*11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1174958639 to the nearest integer?\nAnswer: 34278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 - (-29 + (-38 - 89))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 11*m - 2*m**3 - 6*m + m**2 as o + u*m**3 + f*m + g*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k + 5. Let m = 6 - 15. Let z be n(m). Solve -z*p - 6 = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25 and 2.7.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*j + 0*j = -3*g - 40, 38*g + 3*j = 17*g - 195 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*u**2 + 64*u**2 - 24*u - u**3 + 22*u as l*u**2 + a*u**3 + z + v*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -15. Suppose 0*v + 12 = -a*v. What is the tens digit of (87\/v)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -35?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18714 - -19589. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2668058008 - 1.2668. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21097 + 21096. Let f be (3\/(-2))\/(2\/4). Put f, x, 5 in increasing order.\nAnswer: f, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o + 90*o - 1596 = 0. What is the least common multiple of 11 and o?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 941*l\/6 + 8143\/3.\nAnswer: -(l - 958)*(l + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = u + 17, -2*u - 2*u - 3*p + 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a1 - -5?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72854\/75 or -971?\nAnswer: -971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. What is the tens digit of (-6*9)\/j + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-8))\/(117\/5616). What is the greatest common factor of v and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + c + 4. Suppose 0 = 5*k + d, 0 = -k + 5*k - 4*d. Let v be n(k). Solve -3*i - 19 + 5 = r, -2*i - 14 = -v*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 1. Let w(n) = -2*n + 1. Let q(l) = 2*u(l) + 3*w(l). Let t be (1 - 14\/4)*2. Give q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f + 205. Let k be d(0). Let m = k - 121. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1851\/16, -0.4, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5*o + 2. Let p be s(-3). Let w(g) = 2*g + 12. Let k(c) = -3*c - 15. Let l(v) = -3*k(v) - 4*w(v). Calculate l(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k**2 - k - 1. Let s be z(-2). Let g(x) = 949*x + 948. Let t be g(-1). Sort t, -3, s in ascending order.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by -95\nAnswer: -177\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12663 + 12663 + 2*d. Let f(g) = -g**2 - 88*g. Calculate i(f(t)).\nAnswer: -2*t**2 - 176*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from dssbubgu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*z*z**(-10)\/z)\/z)**19 assuming z is positive.\nAnswer: z**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 3 (c) 4 (d) 88\/17203 (e) 2 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a - 23. Calculate t(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 27*u**2 + 37*u - 55. Let n be p(26). Suppose n = 18*t - 7*t. Is t != 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/24)\/(3\/6). Let h = 0.74 + -0.84. Which is the biggest value? (a) o (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**10\/1680 + a**6\/40 + 2*a**3 - 9. Let l(z) be the third derivative of c(z). Find the third derivative of l(r) wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/308295 and -107\/221340?\nAnswer: 8632260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 5, 16, 33?\n\"Answer: 3*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-700))\/(78\/520).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 + 175.5. What is the nearest to -17 in m, 5, -1\/4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/3)*((s\/s**(-5))\/s*s)\/s*((s**4*s)\/s*s)**(-3\/8) assuming s is positive.\nAnswer: s**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251351?\nAnswer: 19, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 451 (b) -2 (c) -24\/71 (d) 1\/4 (e) -0.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 14045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -15)*(-1)\/(-2). Suppose y*n + 8 = -2*w + n, -3*n = 0. Calculate the remainder when 21 is divided by (-2 + (-6)\/w)\/(1\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 334, 628, 1072, 1666?\n\"Answer: 75*y**2 + 69*y + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:12 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.361604407 to four dps.\nAnswer: -0.3616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 + 6*r - 4*r**2 + 2*r - 7 - 3*r**3 + 0. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12108 + -8023. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17)*-3 + (sqrt(187) + sqrt(187)*1)\/sqrt(11).\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-3 + -11)) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10524618.55 rounded to the nearest ten thousand?\nAnswer: -10520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5328, 5347, 5366, 5385, 5404?\nAnswer: 5423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*l**2 + g**3 + g*l + 11*g + 13*l**4 wrt l?\nAnswer: 10*g**3 + 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -10. Let o = 24 - x. Let l = -76 - o. Round l to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -10\/3, 0.4, 75309?\nAnswer: 75309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -327\/5. Let o = 364.9229 - -0.0771. Let f = o + -374. Which is the third smallest value? (a) q (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbb when four letters picked without replacement from {q: 2, b: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 483, 485, 487, 489, 491?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 127*s = -124*s - 43167, -4*d - s = -43181. What are the prime factors of d?\nAnswer: 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -1, -0.1, 22716?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*i*u**2 + 3965034*i - 19055*u**2 wrt u?\nAnswer: -96*i*u - 38110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**4 + 426102*x**3 + 21208202*x**2 wrt x?\nAnswer: -72*x + 2556612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 153, 229, 305, 381, 457?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144051 millennia in years?\nAnswer: 144.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 9. Let s be w(6). Let y = -3 - s. Suppose 2*r - 42 - 32 = y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6119757.\nAnswer: 3, 7, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7245486008 to the nearest integer?\nAnswer: 85120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -6359 and -1.\nAnswer: -6360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlylyzyzyyooyopo. What is prob of picking 2 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 528 - 527. Let m(o) = -6 - i - o + 8. Let g(h) = -h - 11. Let v be g(-5). Give m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -18, -90, -232, -468, -822?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1724 - -1081. Let f = s + 642.9999547. Round f to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 70.7. Let u = -2.6 - 0.6. Let f = h - u. Which is the third smallest value? (a) -2 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18327 = 4*z, -h - 3*h + 18324 = 4*z. Suppose -3*n + 1578 - z = 0. Let y be n\/5*(-83)\/1. What is y rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 329502525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -3*x**5\/5 - 15*x**4\/2 + 13*x**3 + 33*x**2 + 814. Suppose w(a) = 0. Calculate a.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85195080?\nAnswer: 2, 3, 5, 236653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = i - 3, 8*i - 4*i + 2 = -3*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 - -159. Let u(m) = 51*m + 166. List the prime factors of u(f).\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/40 - 23*g**5\/40 + 35*g**4\/12 - 3*g**3 + 1121*g. Suppose b(k) = 0. Calculate k.\nAnswer: -18, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9037172 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 18*m + 2. Let a be l(6). Suppose 12*k**3 + 15*k**2 - 3*k**a + k**4 + 4*k + 3*k**4 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*q**3 + 2*q - q**4 + 79*q**3 - 35*q**3 - q**4 + 0*q**4 + 2*q**4 + (-1 - 1 + 4)*(2*q - 2*q - q**4).\nAnswer: -2*q**4 - q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.4, -2\/9, -2033.\nAnswer: -2033, -2\/7, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4109 rounded to two decimal places?\nAnswer: 6.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 31*d**2 - 304*d + 4783. Determine u(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15044853 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74373807 is divided by 4267.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 18 + -16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0)**(-44)\/(t**(-1\/6)*t**7))**(-2\/39))**(-40) assuming t is positive.\nAnswer: t**(-1640\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.6, 2\/19, 2934?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -5. Suppose -1 = 2*a - l. Is 5 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(-3 - (-6 - -4)). Let h be (1 + (m - 2))*5. What is the closest to 0 in -9, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {y: 5, f: 5, a: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 39. Sort d, 5, -27 in decreasing order.\nAnswer: 5, d, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7) - (sqrt(605)*-1 - sqrt(605))**2 - (4 + (sqrt(60)\/(sqrt(12)*4 + sqrt(12)))**2).\nAnswer: -12121\/5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106749367 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112020211 + 2221010?\nAnswer: 122011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/12 - 4*f**2 - 21*f + 30. Let o(s) be the second derivative of l(s). Let z(p) = 5 + 30*p**2 - 4 + 1. What is o(z(n))?\nAnswer: 60*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 719621 and 93583.\nAnswer: 20869009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01073190326 to 7 dps.\nAnswer: 0.0107319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228726187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s**3 - s + 4. Is 22 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 10. Let s(r) = 14. Let l(g) = -20. Let h(c) = -5*l(c) - 7*s(c). Give 10*h(v) - 2*t(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643638 is divided by 160904?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 193.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-20) - 42\/(-4). Let t be (-34)\/(-10) + r\/15. Let p = 15 + t. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -12b45b?\nAnswer: 12b458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 11894*m**2\/3 - 237280*m - 3556200.\nAnswer: -2*(m + 30)**2*(m + 17781)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404444 + 0?\nAnswer: 404444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8231.069 kilograms in tonnes?\nAnswer: 8.231069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {e: 5, j: 1, h: 4, z: 3, w: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4175 - 3939.24. Round o to the nearest integer.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/30)\/(4\/(-130)). Let k = j - -2. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000783189804 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/5)*(l**23*l)\/l)**(2\/3))**10 assuming l is positive.\nAnswer: l**(476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g. Let q be p(6). Let w = -16 + q. Calculate the lowest common multiple of w and 4\/12*(50 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66)*2 + sqrt(66) + sqrt(66))))*-4 + sqrt(66) + sqrt(66))*5)\/((-6*sqrt(192)\/sqrt(4))\/sqrt(8))*-3.\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/12)\/(-30) + (-13)\/(-15). Factor 3\/5*f - v - 3\/5*f**3 + 6\/5*f**2.\nAnswer: -3*(f - 2)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -344, 1, -7, 3, -3, 5 in increasing order.\nAnswer: -344, -7, -3, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254661 - -2288987\/9. Let z = 330 + j. Factor 4\/9*g**4 - 2\/9*g + 0 - 10\/9*g**3 + z*g**2.\nAnswer: 2*g*(g - 1)**2*(2*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*y - 35, -x + 4*y + 6 = -5. What is the remainder when 46 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from ggmmmmmmgmmmggmgmm.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2836 - -6408. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2077*k**2 - 2702 wrt k?\nAnswer: 4154*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -50 + 50 + f**2. Let g(p) = p**2 - 13. Give u(g(s)).\nAnswer: s**4 - 26*s**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.1127, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (19 - -18) + -91 + 89.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -356. Let o be 1 + 3 + d\/(-21) + 3. Let z = 37\/28 - o. Put -3, -2\/9, z in increasing order.\nAnswer: -3, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20322 - -10321113?\nAnswer: 11002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(3\/(-60)). Suppose q = 3*r - p, 2*r + 3*q - 5 = 2*q. Suppose 5 = 8*u - r*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*q = 3*t - 112, q = t - 62. Let j = 66 - t. Let d(n) = -n - 5. Let r be d(-6). Solve 5*h + a - 5 = j, a - r + 0 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 170 - 375)*(-5 + 3 + 3)*(-v**4 + 6*v**4 - 4*v**4)*(-1 + 2*v + 1).\nAnswer: -654*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = -2*m, 85*m = 87*m - 2*b - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 3*n**2 + 15. Let s(o) = 10*o**3 - 14*o**2 - 74. Give 14*a(x) + 3*s(x).\nAnswer: 2*x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/4)*l*l**(1\/2)*l\/(l**1\/l)*l\/l**(-1)*(l**0\/l*l)**20*(l**(-1))**(-49) assuming l is positive.\nAnswer: l**(209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 - -0.9. Let b = i + -4.9. Let a = 43\/5 - 44\/5. What is the second smallest value in b, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*a + 2*r - 690 = -200*a, -165 = -a + 2*r. Solve 0 = -k + 173 - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 24*u + 26. Let s(t) be the first derivative of 5*t**2\/2 + 5*t - 1. Let f(z) = 3*c(z) - 14*s(z). Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 365*m**2 - 161685*m - 4430.\nAnswer: 5*(m - 443)*(73*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*-3)*5 + 4*(sqrt(152) - -5*sqrt(152)))\/(-2*-2*(sqrt(8) + sqrt(8) + (3*sqrt(1152) - sqrt(1152)) + sqrt(8))).\nAnswer: 7*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*w**2 - 518*w**2 + 999*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.1575t in milligrams?\nAnswer: 445157500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18*k**2. Let s(f) = 83141*f**2. Give p(s(j)).\nAnswer: -124423665858*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2)\/((-1)\/2). Suppose j*m = -m - 5*s + 425, -m + 5*s = -115. Calculate the greatest common divisor of m and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(0 - (-4)\/(-6)). Let i = 263420 - 263415. Sort i, -14, -2, b in descending order.\nAnswer: i, b, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:16 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is -0.3 plus -42844.364447?\nAnswer: -42844.664447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 931 and 1161223?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -846?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1604a + -277?\nAnswer: -162c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16761701*o**3 + 729593*o - 1.\nAnswer: -100570206*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*j + 148*j - 4*j**3 - 32*j - 15*j + 0*j**3 to s + q*j**2 + f*j + z*j**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -132. Let w(q) = -q - 14. Let c be w(b). Let u(k) = k**2 + 9*k - 8. Let r be u(c). Sort -3, r, -4, 5 in ascending order.\nAnswer: -4, -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 5. Let p(g) = -4*g**2 - g - 1. Let o be p(1). Let j(x) = 3*x + 14. What is o*j(q) + 17*y(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -95547.3624 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(12)*2)**2 - (sqrt(180)\/sqrt(5))\/sqrt(3) - ((sqrt(30) + 1*-1*sqrt(30))\/(sqrt(60)\/(sqrt(12)\/sqrt(2))))**2) + 3.\nAnswer: -2*sqrt(3) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 8*w + 9. Let g be m(-9). Suppose g = 2*h - 7*h + 560. What is the second derivative of -4*c**4 - h + 112 + 16*c wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50813*f**2 - 14553*f - 2 wrt f.\nAnswer: -101626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 452*s\/3 - 2704\/9.\nAnswer: -2*(s + 2)*(s + 676)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1)*-5498 - (16\/8 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 62 in descending order.\nAnswer: 62, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*k + 2*c + 2*k**4 - 488*k**3 - 12790 with respect to k.\nAnswer: -4*c + 8*k**3 - 1464*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + t**3\/3 - 5*t**2\/2 - 16*t. Let q be b(3). Let l be -3 + q + 4 - -4. Put 0, 2, l in ascending order.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 79 = 51. Let j(m) = 13*m**3 + m. Let o be j(1). Let d = b - o. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13528*t + 13596*t - 27026*t = -8820 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23707*286\nAnswer: -6780202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 217. Let y(h) = -4*h**2 - h - 1078. What is 11*p(i) - 2*y(i)?\nAnswer: -3*i**2 + 2*i - 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45756*q - 10040 = -46007*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2}. What is prob of picking 2 m and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/45 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - 295. Let z = -807 + 1460. Let h = m + z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - j**3)*(15*j + 168*j + 2 - 649*j).\nAnswer: 466*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1933*k - 92779. Calculate m(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 5*l + 10*l)*(-63 + 4 + 6)*(1 - 3*l - 1).\nAnswer: 159*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82354.\nAnswer: 2, 41177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 49.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/8431925 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 331927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 3 - o + 3. Let k(f) = -3*f + 4. Let z(g) = -20*g + 25. Let d(r) = 25*k(r) - 4*z(r). Give d(v(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(28) - (-1 + sqrt(50)*-2))**2 - (2*(sqrt(128) + 0) + -3).\nAnswer: 9*sqrt(2) + 633\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 + 440. Suppose 0 = -t*h - 25*h + 35775. What are the prime factors of h?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -149, -283, -465, -701?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*d**4*f**2 + 3541*d**3*f**2 - 216298*f**2 wrt d?\nAnswer: 96*d**3*f**2 + 10623*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, 3, -2\/9, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkoeoekeeoeek. What is prob of sequence kke?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 15*c**4 + 10*c**3 + 67*c - 10*c**3 wrt c.\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011 (base 2) to base 12.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-3))\/(4730\/215)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 516\/1290 - 83\/(-5). Solve -d + 17 = 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 23, 28, 37, 50?\n\"Answer: 2*b**2 - 5*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 150c60 (base 14) to base 4\nAnswer: 2302302310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488 - 377. What is the lowest common multiple of p and 42?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 72 = -15*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18447 = -5*i, 4*i + w + 11065 = 7*i. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2791*y - 5104*y - 16191 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 3*i - 1. Let t(f) = 2*f**2 + 13*f - 22. Let n be t(-8). Calculate k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96553 - -96553.57319. What is u rounded to 2 dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224304 + 50208 = 4464*t for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 2*x. Let v(y) be the first derivative of y**4\/8 + 4*y**2 + 3*y - 64. Let f(i) be the second derivative of v(i). Calculate f(z(p)).\nAnswer: 6*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 25437984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -33. Let c = -4 + 6. Let f = d + c. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.14866953 to 1 decimal place.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 8*a + 13. Let m(z) = -5*z + 1. Let d be m(2). Let c be j(d). Is (c\/6)\/((-1)\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.3694 microseconds in days?\nAnswer: 0.0000000026663125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 18 (c) 78379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 20*l + 10. What is the least common multiple of 2*1\/(-2) - -23 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 8 - 134 + h**3 + 14.\nAnswer: h**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000742064938 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66069377 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1786272 or -1786431?\nAnswer: -1786272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 7*d - 7. Let x be (-1)\/3*-4*(0 - -3). Let h(o) = -2*o**2 - 4*o - 4. Give x*w(k) - 7*h(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223*i**3 - 223*i**3 - 21 + 7*i**4 wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0 - 21 = 0. What is the second derivative of -8*t**3 + 14 - y*t + t - 14 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10790 divided by 6.\nAnswer: 5395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176663*a**2*x + 57361*a**2 + 1 wrt x?\nAnswer: -176663*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Put 2, f, -4 in descending order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36747911 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/11 + 38835*y\/11 - 116496\/11.\nAnswer: -(y - 38832)*(y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3740\/7667*88\/(-880)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55929627935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10921186 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 22. Let z be -2 + s + (3 - -3). Solve 3*o + 2 = 4*g, 5*o + z = 4*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20136 is divided by 809?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064733.\nAnswer: 3, 354911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-299)\/690*55.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25606357 and 190968.\nAnswer: -25415389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**2 - y**4 - y**4 + 453059420*y**3 - 453059383*y**3 - 408*y wrt y.\nAnswer: -48*y + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2880\/(-3872))\/(24\/(-176))?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42951626 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 b, and 1 n when four letters picked without replacement from {g: 1, b: 4, n: 1, z: 1, h: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 128.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55135 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 + 34 = 5*q, 4*c = 20. Calculate the smallest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4226232 divided by -2\nAnswer: 2113116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:57 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and (-52)\/88 + 6\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.1034 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 75.3, 0.5, -2\/5, 2, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 9 - 1. Let l be (339\/(-6))\/(n\/(-10)). Suppose -3*c - c + 221 = -5*i, 0 = -2*c + 5*i + l. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 69 = 155*r - 149*r - 255, 2*r = 4*r + 3*o + 154 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*t + 18994 = -9452, -2*t = -4*n + 37922. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = -z - 13, 4*l - 2*z + 6 = 0. Let t = -8 + 29. Calculate the remainder when t is divided by 2*5 + l\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1849355 is divided by 616355.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5702*v*w + 256102*v with respect to w.\nAnswer: -5702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 = -9. Suppose 0*p + p + 3 = -3*c, -x*c = 5*p - 9. Let l = 135 - 134. What is the closest to 2\/7 in l, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2421, 3573, 3533, 2295, -147, -3799?\n\"Answer: -p**3 - 590*p**2 + 2929*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 816871.9ml in litres?\nAnswer: 816.8719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*o - 2*n, -208*n = 4*o - 204*n - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (6 - -1 - -8) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1561 and 1337.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 3}. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2778*a - 6. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2713, 0.1 in ascending order.\nAnswer: -2, 0.1, 2713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4223581 months in centuries?\nAnswer: 0.00201863175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7785)\/(-4325))\/(1*3\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2484, 9825, 22088, 39279, 61404, 88469, 120480, 157443?\nAnswer: 199364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24492*p**4 - 55*p**2 - 61976884?\nAnswer: 97968*p**3 - 110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20 and 81\/109454?\nAnswer: 1094540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3 - (1 + -3). Which is bigger: v or -1\/18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.12, -0.3, -1, 161\/6, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 20*h - 16. Calculate the remainder when c(-13) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/34)\/u)\/u)**(-2\/131))**22 assuming u is positive.\nAnswer: u**(1474\/2227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.9 - -25. Let h = v + -15. Let w = h + -3.1. What is the third biggest value in 4, w, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 56*q. Let b(v) = -v. Let i(d) = 28*b(d) + s(d). Let w(u) = -2*u. Give i(w(g)).\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - d**2 + d**3 + 3*d**3 - 3*d**3. Let g(s) = -2*s**3 - 3*s**2. Let j(z) = 5*g(z) + 6*m(z). What is the third derivative of j(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 265.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 1, l: 1, t: 1, b: 1}. Give prob of picking 1 c, 1 t, 1 b, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262\/393*(3\/(-2) - -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 * 457.\nAnswer: -47528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 14 - 6 - 142*r)*(-3*r + 0*r - 6*r) + r - 2*r**2 - r in the form o + c*r**2 + w*r and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-380931)\/(-163))\/(-1 + 4). Let y = 3 - 3. Suppose -f - 3*h + s = y, -369 = 4*f + h - 3529. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43752 - -71213. List the prime factors of k.\nAnswer: 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 13*o**4 + 42*o**3 - 2*o + 14249 + 9*o**2 - 14261 = 0. Calculate o.\nAnswer: -2, -3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.60868.\nAnswer: -0.643472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132002011 (base 4) to base 3.\nAnswer: 1201012112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -48*p + 1. Let j = 3 - 1. Suppose 2*b = 2*t + t + 5, -2*b + 4 = -j*t. Let i be g(t). What is the highest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1095 + -367\/1095. Is 273 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1177701869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2488 and 39\/592?\nAnswer: 184112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65592 is divided by 135?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 + 3*b + 2. Suppose 2*k + 3 = -d + 5*k, 0 = 4*d - k - 43. Let s be (-2)\/d - (-86)\/12. Is g(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108024 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/173192 and 41\/1608?\nAnswer: 34811592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553895.5 milliseconds in seconds?\nAnswer: 553.8955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 91 = 3*n. Let g(s) = 0*s - 6*s + 7*s + 19. What is the remainder when n is divided by g(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5*x + 11*p**4 - 2*p**3*x - 2*p**3 + 2*p**2*x - 8*p*x - 3011*p + 37 wrt p?\nAnswer: -60*p**2*x + 264*p - 12*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6683 - -4?\nAnswer: -24.6683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 23*k + 92. What is the remainder when 339 is divided by l(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:28 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5940\/(-756) + (16 - 11).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = 8*v + 203. Let j = -48 + v. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 - 27*t**4 + 3*t**3 + 79*t**2 - 54*t = 0?\nAnswer: -27, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29427?\nAnswer: 3, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 385\/20 + -7 + 0. What is the smallest value in -0.5, 0.4, 4, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhhhdddhd. Give prob of picking 3 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -90*6*(-6)\/108\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 + 12*w**2 + w + 7. Let x(d) = 7*d**3 + 25*d**2 + 2*d + 13. Let u(n) = 5*p(n) - 2*x(n). Let r be u(-10). Is ((-52)\/(-8))\/(r\/(-118)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:59 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + (67 - 142) - (104 - (1 - -3))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55568 is divided by 189.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - r - 97, -17*r - 8 = -16*r - 3 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 127 = 3*c + 4*v, c = 3*v + 14. Solve -17*b - 18 = -c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107090015 rounded to five decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p**2 + 10*p**2 + p**3 + (0*p - 2*p**2 + 0*p)*(0 - 2*p + 0).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 26. Suppose 2*j = 5*r + 29, -2*r = -5 + 11. Let g be m(j). Let s(b) = -5*b + b + g*b. Let u(l) = -40*l. What is u(s(a))?\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 - 2 = 0. Let f be (-6 + 2)\/(-4) - 0. Suppose m*r - 21 = -f. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s. Let z(v) = -63*v. Let c(a) = 8207*a. Let o(y) = 2*c(y) + 261*z(y). Calculate -5*g(m) - 3*o(m).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 870407 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1208 - 1200. Sort -10, 1, m, -4 in ascending order.\nAnswer: -10, -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 2*j = -18*u - 102497, 170835 = 5*u + 2*j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5*z**2 + 31675*j**2*z**3 - 4*j*z**3 + 361*j*z**2 + 10*z**2 wrt j.\nAnswer: -20*j**3*z**2 + 63350*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -0.3, 2, -0.06, 6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:58 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*p - 81*p - 5*v + 26, 5*v = -4*p + 28. Let o(l) = -19*l**2 + 16*l - 10*l + 39*l**p - 6*l. Let t(f) = -4*f. Determine t(o(y)).\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 110.884. What is s rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24723 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - x + 8 - 31, -29 = -3*h + 4*x. Let s = 15 - h. What is the remainder when 21 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:20 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(1\/3)))**(-6\/19) assuming u is positive.\nAnswer: u**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8011042 is divided by 801100?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/851 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404 divided by -13?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -191738 (base 10) to base 2\nAnswer: -101110110011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*k - 1286 = -1293, -k = -3*a - 49 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/279 and -71\/14105?\nAnswer: 126945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 24349.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/8 or 80792.2?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, c: 2, f: 6}. Give prob of sequence ccfh.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + -1 + (1*(-1 + sqrt(1872)) - sqrt(1872)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317346 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1190)\/(-8) - 33\/44. Let q be 2 + 1 + w\/(-52). What is the third biggest value in q, -3\/2, 0.05?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 745 + -737. Suppose -y*v - 9*v = -459. Put 1, v, 6, 5 in descending order.\nAnswer: v, 6, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20140 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(9\/2)\/(g\/g**(-2\/71)*g))\/(g\/(g\/(g*g\/g**(-2\/85))))**(6\/5))**21 assuming g is positive.\nAnswer: g**(55251\/60350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 - -1562. Suppose -4*z = -d - 1872, 3*z + 0*d - w = 5*d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220211212121 (base 3) in base 12?\nAnswer: -8457ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 5\/2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 179873 - 1789807. Let n = -320420 + j. Round n to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 10}. What is prob of sequence oooi?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - g - 17687 + 17701 = 0, 6*g - 30 = 3*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 67.9. Let q = 2.1 - z. Let i = q + -9.5. Round i to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 12. Suppose 8 = 3*g - 4*n - 100, 9 = -3*n. Suppose -5*x - 77 = -g. Give d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244744429?\nAnswer: 3, 61, 12266363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*y**2 + 217*y.\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 32.2?\nAnswer: 12.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9 + 18 - 31 - 5*s + 8. Let i(x) = 55*x - 45. Suppose 2*j + 3*j = -20. Determine j*i(c) - 45*y(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -66. Calculate the remainder when m is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggeggge. Give prob of picking 4 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 8*i + 61. What is the highest common factor of 70 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34002151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6433.619 kilograms?\nAnswer: 6433619000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**5\/5 + 21*z**4\/4 - 3*z**3 - 165*z**2\/2 + 150*z + 438. Factor r(x).\nAnswer: 3*(x - 2)*(x - 1)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:13 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 975\/1 + (0 - -3). Let r be (g\/6)\/((-2)\/(-2)). Let q = r - 80. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let y(w) = 26*w - 5. Let d(o) = 39*o - 8. Let v(j) = -5*d(j) + 8*y(j). Calculate z(v(a)).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -487.7 and -581?\nAnswer: 93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-7))\/((-2)\/(-28)). Let d = -8 + 281. Suppose 2*b - 3*n = 156, -d = -4*b + 3*n + 27. Calculate the greatest common factor of b and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 790b6 + -5?\nAnswer: 790b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -48*q**3 - 3*q**2 - 2*q - 26. Let o(v) = -6*v**3 - v**2 - v + 1. What is d(n) - 5*o(n)?\nAnswer: -18*n**3 + 2*n**2 + 3*n - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*x + 26. What is the tens digit of 3\/1 - (-264 - (-4)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12017.\nAnswer: 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213868*a**2*b*l*u + a**2*l**2 + 2*a**2*l*u - 167*a**2*l + 2*a**2 + 17*a*l + 150*b*l**3 + 13*l**3 wrt b?\nAnswer: 213868*a**2*l*u + 150*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 250, 324, 390, 448, 498, 540?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-736)\/48 + 15 - 58\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9060006, -18120021, -27180038, -36240057, -45300078?\n\"Answer: -c**2 - 9060012*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/((-8)\/12). Find the third derivative of 3*b**2 + 4*b**5 - 2*b**5 - 3*b**5 - g*b**5 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -108, -208, -356, -558, -820, -1148?\n\"Answer: -x**3 - 15*x**2 - 6*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4*k + 3 + 0 + 4 - 5*k**3 + 5 to the form a*k**2 + y*k + j + w*k**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25497270 rounded to the nearest 100000?\nAnswer: -25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1692\/11 + 152. Let r(p) = -p + 31. Let g be r(-10). Let c = g + -43. Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*z**4 + 67*z**4 - 222*z**2 - 4 + 2 + 69*z**4 as c*z**2 + s*z**3 + v*z + f + l*z**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -959 + 1127. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*k**2 - 1\/2*k + 0 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 5:05 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-9)*f)\/f*f*f**(-13))\/(f**(-7)\/(f\/f**15)) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Suppose 645*a - 619*a + 5 = -21. Let x(p) be the first derivative of 3*p**2 - p - 2. Calculate a*x(u) + 3*v(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 + 64*b\/5 + 66\/5 = 0. What is b?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 109 = 424. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 14725.2.\nAnswer: 14725.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.119823.\nAnswer: -0.0599115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -213*g + 93. What is r(1)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 6*x - 17. Suppose -i + 7 = 2*l - 6*i, 2*l - 3*i - x = 0. Let y(q) = 2*q. Calculate the lowest common multiple of y(4) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 91070*f**4 - 546585*f**3 + 273430*f**2 + 2368480*f - 2186400 = 0. Calculate f.\nAnswer: -18220, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7715100 rounded to the nearest 100000?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -560412 (base 7) to base 15\nAnswer: -1e366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -145, 1 in descending order.\nAnswer: 1, -106, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 642*(-11)\/(-1386).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -97 - -135 - (2 - -43)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128913.30159 - -0.7?\nAnswer: 128914.00159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -5 (c) 4\/23 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384776 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 3, s: 2, q: 3, l: 3, z: 4}. Give prob of picking 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = -5*o, -5*o = y - 4*y + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 30 - 2 = 0. Let v = l - -31. Suppose s = v - 2. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 456.\nAnswer: 455.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12\/q*(q\/((q**(1\/3)\/q)\/q))\/q)**(11\/5) assuming q is positive.\nAnswer: q**(418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -56 - 59 - (1 - (1 - -1) - 108).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 13*c - 19. Let h be t(-10). Let f = h + -12. Let w(v) = 4*v**3 + v**2 + 1. Let b(o) = o**3 + o**2 + 1. Determine f*b(d) + w(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 25 + 23. Suppose k + d = o + 2*o, 14 = 4*k - 2*o. Suppose 4*l + 5*p - 347 = 0, p - 185 - 254 = -k*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -6. Let w = -11 - -5. Sort -5, w, o.\nAnswer: w, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 369, 552?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -35*y - 35*y + 70*y + 3*y**2 + y**2. Let z(a) = -6 - 50*a**2 - 34*a**2 + 6. What is z(d(o))?\nAnswer: -1344*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3550?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(847) - (sqrt(847) + 0)) + 3)**2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuuuuuluuuu. What is prob of picking 3 u and 1 l?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 46. Does 18 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -19. Let h = -25 + n. Let w = h - 29.6. What is the closest to 0 in 1\/2, w, 7\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-45) - (-19003)\/(-465).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/11 (b) -98031 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103604299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n + 6. Let g be l(-5). Let u(c) = 13*c**3 + c**2 + c - 1. Let o be u(1). What is the highest common factor of o and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -11. Suppose 2*x - 3*t + 15 = 0, 0 = -3*x - x + d*t - 20. Solve x*u - 5*u = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 12 = 3*k. Let w = -61 - 193. Let d = w - -254. Solve n = -d*n - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p**3 + 0*p + 3*p + 2*p**2 - 9 + 3*p**3 + 8. Let m(o) = 13*o**3 + 9*o**2 + 13*o - 4. Calculate 2*m(x) - 9*n(x).\nAnswer: -x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - 6.9. Let x = -0.66 - -0.26. Let m = x + 0.3. What is the nearest to m in 2\/9, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -302*(-27)\/6*(-14)\/(-42) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144*k + 298 - 298)*(-5*k**2 + 2*k**2 + 5*k**2) as b + w*k**3 + o*k**2 + j*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:12 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (2 - -2)) + (284 - 286)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -76.51.\nAnswer: -2.2953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31374928 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0.3, 0.124, -0.2 in descending order.\nAnswer: 24, 0.3, 0.124, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/11313 and 40\/133083.\nAnswer: 55761777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 10\/3*f**3 + 16 - 20*f**2 + 0*f. What is the second derivative of g(w) wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 1640 = 6*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) 1 (c) 4 (d) 2 (e) 43\/6 (f) -2\/717\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/49, 0.1, -0.4, -14, -0.3, 0.108, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.347 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 4 + 11*b**3 + 8*b**3 + 7*b**3 + 7*b**3 - 22*b**2 - 31*b**3 to u + h*b + g*b**2 + d*b**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 67*a**2 + 47*a**2 - 88*a**2 + 76*a**2.\nAnswer: 94*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1556 + -1551. Sort 37, -4, v.\nAnswer: -4, v, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7349\/44094)\/((-20)\/(-3)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3) + -1)\/(-2). Which is greater: -4\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 + 2*z. Let c be g(2). Find the third derivative of 0 + 0*u**2 + c + u**5 + u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 78\/24)\/(1\/12). Solve -4*b - 12 = -5*s, s - b = -l*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27289*u - 27213*u + 2204 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 21765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32000 (base 5) in base 9?\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 9. Let u = 957078.17 + -957066.1700003. Let y = u - h. Round y to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 64*x**2. Let u(c) = 3063 + 32*c**2 - 1529 - 1534. Determine -5*u(v) + 2*z(v).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxggnogghoxoxgxg. What is prob of picking 1 x and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362.95 * 1.\nAnswer: -362.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 737\/33 - (-4)\/6. Suppose 2*z = -4*r - 19 + y, 0 = 5*r + 2*z - 7. Solve -5*s + 2*l = 3, -s - r*s - l = -8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690*u**5 - 2673*u**2 - 88*u + 1972 wrt u.\nAnswer: -13800*u**3 - 5346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 801 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 5*s**3 - 3*s**3 + (-1 + 2 + 1)*(2*s**3 - 3*s**2 + 3*s**2) - s**3 + 18 - 18)*(-4 - 2 - 2).\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1431.1 + -1431. What is the second smallest value in -84, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2191607 and 1793133.\nAnswer: 19724463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/7 (b) -5 (c) 26 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770564 and 13756.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36684324 by 43986.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 1 p when three letters picked without replacement from {v: 2, p: 6, k: 2, i: 1, d: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3122 + 3132. Calculate the greatest common factor of h and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 137*u - 76*u - 18 = 58*u, 0 = 2*q - u + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 6. Let p(u) = 8*u - 7. Let s(l) = 6*p(l) + 7*x(l). Let q(w) = 5*w**2. What is s(q(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvvjejjtjjtvjjvvee. What is prob of sequence evv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*p + 17, -5*u = -11*p + 8*p + 20. What is the second smallest value in -3, p, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.167 times -235647?\nAnswer: -39353.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/6 - g**2 + g. Let d = -8 + 15. Let m = -2 + d. Give q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3 + h**2 + h**2 + 4*h - h**2. Let t be f(-3). Let x be 8\/(-30)*12\/32. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383 * 7.\nAnswer: -2681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 3*k - 20. Let r(l) = l**3 + 2*l**2 - 2*l - 2. Let d be r(k). Solve 0 = -d*g - 5*y + 14, 0 = 5*g - y - 4*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:01 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1558655272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) - -5*sqrt(6))*2)\/sqrt(3) + -5*sqrt(50) + (sqrt(2) + 1)*-1)**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of (2 + 4 - 26995)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/15 + 139552*y\/5 - 34316344\/15 = 0. What is y?\nAnswer: 82, 209246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2719*d**2 - 2765*d + 17. Let l(a) = 1360*a**2 + 1383*a - 8. Let j(y) = 13*l(y) + 6*s(y). Find the second derivative of j(n) wrt n.\nAnswer: 2732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4.39.\nAnswer: -4.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 2*u, -u - 3*p = p - 18. Suppose 3*b = -12, 4*j + b - 12 = u*b. Suppose j*g = 7*g - 10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 23*x - 130. Suppose -130 - 86 = -225*o + 201*o. What is b(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. What is the nearest to -2\/3 in 2\/7, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30022, -60021, -90020, -120019?\n\"Answer: -29999*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q)*(0*q**2 + q**2 - 2*q**2)*(-14*q - 25*q - 2 + 11*q).\nAnswer: -56*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwa when three letters picked without replacement from waaf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1128 + -1128. Let x(z) = -2*z + 22. Determine x(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8205 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905040 by -36.\nAnswer: -25140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 4*b - 2*b + 1 + b - 1 + b - 4*b + b + 2 - b - 2 + (-2 + 5 - 5)*(0 + 0 + 2*b) - 2*b - b + 4*b - 2*b - 2 + 2 + 0*b + 2*b - b)*(-4 - b + 4).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/59, 1, 5, -1\/5, -1, -0.06 in descending order.\nAnswer: 5, 1, 17\/59, -0.06, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 320529872 divided by -20033117\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545347, -545353, -545359, -545365, -545371, -545377?\nAnswer: -545383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-14)*69*(-21)\/(-11178)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 251 = -62 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 3 - 4*r + 11*r in the form l + i*r and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 4*t + 3. Let n be s(-5). Suppose 4*v + 24 = -4*v. Let u(m) = 2*m - 2. Let x(q) = q**2 - 3*q + 3. Give n*x(b) + v*u(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -874.78 * -0.06.\nAnswer: 52.4868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*6)\/sqrt(10))\/(sqrt(8) + -6*sqrt(24)\/sqrt(3) - sqrt(8)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = 0, 2*x - 27 + 18 = -2*z - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2)*(-5 - 441\/(-90))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12010 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46194 - -46190.3038. Let k = 0.006 + -3.706. Let z = k - g. What is z rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 474*y**2 + 2*y - 8. Let p(x) = 48*x + 290. Let w be p(-6). What is the hundreds digit of f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**9\/60480 - s**8\/10080 - s**7\/5040 + 31*s**5\/60 - 2*s**2. Let u(o) be the third derivative of y(o). Factor u(b).\nAnswer: -b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -2, -1141 in ascending order.\nAnswer: -1141, -10, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6538343?\nAnswer: 7, 934049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 947746 and 80469?\nAnswer: 8529714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 6649 and 192820\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1181786\nAnswer: 1181779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(3 + 4 - 5) + 2 + 2 - 5 + 1 + 0 + 0)*(-146*p - 502 + 140*p - 2).\nAnswer: -12*p - 1008","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (41 + -48)\/(12\/(-2)). Which is the third smallest value? (a) -3 (b) i (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/3*(-3)\/2. Let b(h) = h**3 + 14*h**2 + 14*h + 16. Let q be b(-13). What is the tens digit of q - (r - 4) - -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 2*j**2 + j**2)*(654 - 1354 + 182*j + 700 + 5287*j)*(3 - 2*j - 3).\nAnswer: 10938*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-93 - -99) + (1 - -14) + -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 2)*(3 - 3*r - 3)*(-1174 + 227 - 52) to h + j*r and give j.\nAnswer: 11988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053913093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-3)\/(-2) + 3). Let s(l) = 7*l - 20. List the prime factors of s(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -0.7809\nAnswer: -34.3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 29*u**2 + 273*u - 274. Let i be h(1). Let t(c) = 29*c - 1. Let m be t(1). Is m not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/10)\/(-2))\/((-24)\/1000*5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 5*h - 689 = 0, 74*b - 4*h = 80*b + 96 + 108 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 0.032803?\nAnswer: 0.0459242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (13 - (-7 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 2*u**2 - 2*u - 9. Determine n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 7*v - 65. Suppose -j + 18 = v*j. Solve g - 9 = 5*o + 6, j*o + 4*g = -32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4383b9 (base 13) to base 3\nAnswer: -2222201211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1571 and -2?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5052*p - 20182. Calculate a(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08147766 and 5.\nAnswer: 5.08147766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 - -120. What are the prime factors of m?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304295 (base 13) to base 9\nAnswer: -12167700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 4 - (sqrt(21)\/sqrt(3) + 0))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 281 - 182 + 13*d + 315 + 46*d - 425*d. Let b be y(34). Round b to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 365.57 * 17697.\nAnswer: 6469492.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 + 36 - 7*i**2 + 17*i - 7*i. Let h = -59 - -53. Calculate the smallest common multiple of 48 and m(h).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -7*j**5\/5 - 5*j + 3. Differentiate k(v) with respect to v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100111111111001100 (base 2) in base 9?\nAnswer: 15106267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/15 + 400\/12)\/1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 - 1425020*b**3 - 14249868*b**2 - 24224692*b - 11399840 = 0. Calculate b.\nAnswer: -356245, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 218543*y**4\/6 - y**3\/6 + 7*y**2. Let n be v(1). Suppose 0 = -18*h + 6379829 + n. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 800 = 15*c + 49*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71.8038 from -1.\nAnswer: -72.8038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86.1 - 84.1. Which is the nearest to -1\/6? (a) y (b) -14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01841863644 rounded to five dps?\nAnswer: 0.01842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((-25185)\/(-2920))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(6)*-1))\/(sqrt(18)\/(sqrt(27)\/sqrt(3))) + 2 + (sqrt(112) + 2 - sqrt(7)) + -3)**2*6.\nAnswer: 24*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*d - 55 = 0, -4*d - 67 = -3*m + 3. Suppose 45 = j + 21. Suppose j - 182 = -4*l - 2*n, -l + 41 = -n. What is the highest common factor of l and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssa when four letters picked without replacement from sassssssaassaa.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 3*f + 2*f**3 - f**2 + 6*f + 7*f**2.\nAnswer: 3*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 34993, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2461*f + 10 = -2456*f + 5*m, -2*f - 4*m + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8456 - 8455.98496. What is w rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 + -377. Let a = 9 - -5. Let c = o + a. Sort 0, -3, c in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32211 (base 4) to base 14\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5047, 3, 1015, 5 in descending order.\nAnswer: 5047, 1015, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13322 (base 4) to base 2\nAnswer: -111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 7 + 3160*m**3 - 13.\nAnswer: 3160*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 + -1708\/9. Suppose -k = -1, g = 17*k - 20*k + 8. Suppose l = 6*l + g*l. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75081843693 - 75081843693 + 6*s**3 - s.\nAnswer: 6*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233 + 3?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.457*52.\nAnswer: -439.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65711737?\nAnswer: 7, 13, 347, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*c - 22, -3*r - 3*c + c + 6 = 0. Suppose 5*k - 23 = 2*v, 0*v + r*v + 7 = -3*k. Let i = 9 + v. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q + 28. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + o + 8. What is a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 6. Let b(m) = 7*m. Determine t(b(j)).\nAnswer: -35*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 + 1306510*u\/3 + 426742095025\/3 = 0. What is u?\nAnswer: -653255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 607517.07 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + 1 - (-7 - -10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3855838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5918*s - 5917*s - 150. What is the lowest common multiple of s and 5?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:03 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(12)\/sqrt(50))*-6)\/(sqrt(3) - 3*sqrt(6)\/sqrt(2) - (sqrt(147)*-1 + sqrt(147))))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 12) to base 7.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 0, -5*l + 21 = 2*r - 6. Calculate the remainder when 4*l - (-3 + 0) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - -1069. What are the prime factors of y?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12703552 + 447?\nAnswer: -12703103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 125 + 53*i + 186*i - 238*i)*(2*i**2 - 5*i**2 + i**2).\nAnswer: -2*i**3 + 368*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166 and 2.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244710188 divided by 2?\nAnswer: 122355094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 32 - 92 = 4*j, -4*j = 5*s - 102. Solve 5*d - 4*h - 4 = -s, -3*d = -h + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/1 + 33 + -6 + -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 17291?\nAnswer: 17298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-137)\/(-9) + (-1605)\/107. Which is the nearest to 1? (a) -17\/5 (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02133 minus -10070?\nAnswer: 10070.02133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {s: 3, j: 3, i: 2, v: 2, b: 9}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 + 2. Let q(p) = 66*p**3 + 11*p**2 - 2*p - 10. Determine -6*f(i) - q(i).\nAnswer: -60*i**3 - 5*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 47\/6*s**3 + 233\/2*s**2 + 12*s + 0. What is the first derivative of l(k) wrt k?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*x**3 - 61*x**3 - 337*x**3.\nAnswer: -131*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 7*z + 2. Let b(x) = -x. Let l(r) = 6*b(r) - t(r). Let c(q) = q**3 + 4*q**2 - 4*q + 3. Let i be c(-5). Is l(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(117) - ((sqrt(117) - (1 + sqrt(117))) + sqrt(117))) + -3 + sqrt(208)).\nAnswer: -10 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -1\/9*i**3 - 4\/45*i**5 + 0*i - i**2 - 1\/8*i**4 - 1\/105*i**7 + 0 - 7\/180*i**6 - 1\/1008*i**8. Factor q(m).\nAnswer: -(m + 1)**4*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 745 - 4996 = 0. Let n be (-26)\/(-3)*30*20\/400. What is the highest common factor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538828 divided by 622?\nAnswer: -2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v + 18. What is b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -28044 in increasing order.\nAnswer: -28044, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2754, 11103, 25018, 44499?\n\"Answer: 2783*z**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155 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: What is the units digit of 918738863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 119. What is n(-9)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115023*t**2 - 2 + 115029*t**2 - 1763*t + 569*t.\nAnswer: 6*t**2 - 1194*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240 + 235. Let m be (-165)\/(-2) + (-1)\/(-2). Let b = m + t. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 1, h: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 0, 2*z + 235*k = 230*k - 11. Put z, -3, -30, -2, 1 in ascending order.\nAnswer: -30, z, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.82532 + -0.42532. What is the second biggest value in -0.01, 30, -0.07, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*g**2*i**2 - 4374*f**2*g*i**3 + 76*f*g**3*i**3 - 63*f*g**3*i - 70*g**3 + 4*g**2*i**2 wrt i?\nAnswer: -26244*f**2*g + 456*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1524, 1527, 1530, 1533, 1536?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.00489 to two dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1204*l**2 + 44820*l - 10060. What is a(37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/205)\/(2\/(-45096)). Let p(n) = 62*n**2 - 4*n + 4. Let v be p(3). Let g = t - v. Is g bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s + 17405 = 15739 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 189 = 5*x. Which is the fourth smallest value? (a) x (b) -0.1 (c) 0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 + -4 + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 6075300.\nAnswer: 6075300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1400*b - 47631. Determine r(-34).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.088 - 0.088. What is the second biggest value in 2\/7, 6, 8, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + -1 + sqrt(2448))**2.\nAnswer: 24*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1000153 by -1000153.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:07 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74230 and 6?\nAnswer: 222690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-10))\/((-1071)\/51765)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-3)*(-45)\/225*5*9\/6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 132*q - 3409. What is h(-94)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b + 43. Does 21 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3243424 or -8.6?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 10*n**2 + 8*n + 19. Let w(s) = 2*s**3 + 20*s**2 + 16*s + 37. Let a(g) = 6*w(g) - 11*x(g). Is a(-9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:00 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1767*-64\nAnswer: 11.3088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-60))\/((-105)\/28 + 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 16. Suppose 3*m - d = 2. Suppose -m*f + 4*b + 144 = 0, 2*f + 2*f - 2*b = 202. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = -4*z, 1 + 20 = 5*z + 3*k. What is the third derivative of -2*a**3 - 4*a**4 + 2*a**4 + 2*a**z - 2*a**2 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000715 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 2*b**2 + 3*b + 2. Let i(d) = -d - 1. Let a = -110 - -108. Determine a*i(l) - o(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/12 + 17*q**2\/2 - 13. Let y(t) be the second derivative of d(t). Let k(u) = -11*u**2. Calculate y(k(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20584 is divided by 70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/30 and 41\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*u - 240 = -719*u + 356*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 7) in base 2?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3052*u - 21. Let k be s(2). Let w = 10472 - k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75031573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 166ab8a (base 13) to base 16\nAnswer: 6e9fd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17405 and 7179415?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103149207\/328 - -314479. Find the common denominator of v and 11\/738.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192709463.\nAnswer: 809, 238207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 15. Let q = f + 12. Calculate the smallest common multiple of 11 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let m(d) = -21*d**2. Determine j(m(f)).\nAnswer: 441*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167844.7 nanograms in grams?\nAnswer: 0.0001678447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b - 142564*b**3 + 142541*b**3 + 31*b.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/823 (b) -3\/10081 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19689 or 19596?\nAnswer: 19596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -4 + sqrt(25)\/(sqrt(10)\/sqrt(2)) - (sqrt(245) + 5 + -2)*-5)**2.\nAnswer: 1012*sqrt(5) + 10701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(684) + (sqrt(209)\/(sqrt(11)*1))**2.\nAnswer: 18 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {i: 12, z: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 2*f + 2. What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3699, 7337, 10903, 14397, 17819, 21169?\nAnswer: 24447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2010*x + 39*x**2 + 2*x**3 - 4016*x + 2012*x to the form o*x**3 + y*x**2 + m*x + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.117 + -80.917. Round t to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11701 and 45879.\nAnswer: 57580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91.166 + 0.166. Let z = -102.2 - a. What is z rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r - 1. Let j be h(-4). Let k = 46 - j. Suppose 1 + k = 4*x. What is the smallest common multiple of 9 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120 and 336.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:52 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558 divided by 130.\nAnswer: -279\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 17015*s**2 - 135903485*s + 501582170495.\nAnswer: 5*(s - 4351)**2*(s + 5299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/311 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -39030260 less than -39030260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 - a**2 + 4*a**2 + 694 + 0*a**2.\nAnswer: 3*a**2 + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 2, o: 1, u: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 839, 1671, 2503, 3335?\n\"Answer: 832*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/7 + 432*w**2\/7 - 1314*w\/7 = 0?\nAnswer: -219, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y. Let k(f) = -4*f. Let l(n) = -3*g(n) - 4*k(n). Let q(s) = -s**2. Determine q(l(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - 1 - -2) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 + 6*w. Let j(x) = 6*x**2 + 5*x. Let b be (40\/16)\/(1\/2). Give b*h(y) - 6*j(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -32687154\nAnswer: -1\/16343577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 5. Calculate the remainder when 92\/23*(-212)\/(-16) is divided by v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741 - 1057 = -140*j + 20*j + 3762 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:55 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 52*o**2 - 2460*o + 36. Give h(-82).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/14 (b) 5 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3500038, 7000076, 10500118, 14000164, 17500214, 21000268, 24500326?\nAnswer: 28000388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107145349.766 + 0.38?\nAnswer: 2107145350.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51466, -103163, -154860, -206557, -258254, -309951?\nAnswer: -361648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 192 - 3263\/17. Let t = -75\/119 + u. Which is the smallest value? (a) -0.1 (b) -8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 2076.6259.\nAnswer: 2072.6259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274516 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (6 - (-34 + -13))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, 171, 807, 1811, 3183, 4923, 7031?\n\"Answer: 184*f**2 - 284*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/((-2940)\/(-110)))\/(11\/(-42))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 2*c)*(2 - 2 + 1) - 4*c + c + 2*c)*(0 + 3 - 4)*(0*c**3 - 19*c**3 - 53*c**3) in the form a*c + z + o*c**3 + t*c**4 + v*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 - 3*l + 12. What is the remainder when 101 is divided by i(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 54. Let s(a) = a**2 + a + 1. Let w(f) = f**2 - f + 1. Let x(u) = -8*u - 1. Let i(t) = -3*w(t) + x(t). What is p*s(z) + i(z)?\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-21))\/((-2)\/2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-459)\/(-4641)*6\/(-18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-12))\/(5\/15). Which is the fourth biggest value? (a) 0.2 (b) -4 (c) u (d) 14\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2587 to two decimal places.\nAnswer: -6.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/7)\/(r**(-3)*r)*(r**(-1\/4))**(1\/35)*((r\/(r\/((r\/r**(-2\/3))\/r)))**(1\/15))**(-1\/74) assuming r is positive.\nAnswer: r**(72899\/46620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -7*f**4\/4 - 19*f**3 + 74. Find the third derivative of x(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 3*x + 3*x + (-2*x**2 + 2*x**2 + 2*x**4)*(5 - 1 - 3) - 10*x**4 + 1 - 1 - 4 + 4 + x**4.\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703, 2820, 6341, 11266?\nAnswer: 17595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -322*p**2 - 4 - 3 + 321*p**2 + 4*p as u*p + n*p**2 + z and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 19*r - 95. Let x(u) = 9*u**2 - 160*u + 760. Calculate -17*m(w) - 2*x(w).\nAnswer: -w**2 - 3*w + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 3*x - 2*x. Suppose u + 2*u + 2*z = 139, 5*u - x = z. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 135, 499 in ascending order.\nAnswer: -3, 3, 135, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 13) in base 3?\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 10*t + 1. Let y(a) = 10*a**2 + 28*a + 3. Let q(k) = -8*j(k) + 3*y(k). Give q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -570 (b) 0 (c) -4 (d) 2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u + 121. Let x be i(9). Suppose -3*p + l = -4732, -p - 4*p = x*l - 7881. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 37471, 3.\nAnswer: 0.2, 3, 37471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -525606146+4.957\nAnswer: -525606141.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 18*q + 3. Let c be z(12). Let i = c - 76. Let t be (-4)\/(-9)*30*(i + -2). Which is smaller: 2\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103191791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87916 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + x**2)*(x**3 - 3*x**3 + x**3) + 734*x - 734*x + 54*x**5 + x**5 - 2*x**5 - 18*x**5.\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**2 + 4*n**2)*(-n**2 - 2*n**2 + 5*n**2) + n**2 - 2*n**4 - n**2 + (-4*n + 3*n - n)*(0 - n**3 + 0) + 3*n**3 + n**4 - 3*n**3.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adta when four letters picked without replacement from {d: 3, c: 3, t: 1, x: 1, a: 2, k: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 7:40 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*n + 3 = -3*n, -5*v - 3*n = -9. Suppose v = 3*o + 4*k - 5, -k = 5*o - 4 - 27. What is the remainder when 18 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmtmtttttmttmmtttt. What is prob of picking 4 t?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*v**2 + 4*v.\nAnswer: 2*v*(187*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j\/(((j*j*(j*j**(-2)*j)\/j)\/j*j)\/j)*j*j**(2\/15)*j**(1\/5)*((j*j**(-8))\/j**(1\/7))\/(j**(2\/9))**(12\/13) assuming j is positive.\nAnswer: j**(-2461\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 337*s + 35. Let c(o) = -168*o - 16. Determine -6*a(d) - 13*c(d).\nAnswer: 162*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -9, -6, -3.\nAnswer: -9, -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 3, -2 in increasing order.\nAnswer: -2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 1 - 6 + 2*g**3 as s + x*g + p*g**2 + a*g**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.496852584 and -5?\nAnswer: 4.503147416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 + 66*f - 64*f - 4.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 14493288\nAnswer: 1\/14493288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699756?\nAnswer: 2, 3, 58313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n, -4*n + 109 = 3*s - 159. Suppose 0 = 95*p - s*p - 66. Suppose d = 4*d - 18. Calculate the highest common factor of p and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21229 and 73\/639.\nAnswer: 191061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/37 and 25\/96.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + 5 + -3 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361412, -722886, -1084360, -1445834?\nAnswer: -1807308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*q**4 - 6564394*q**3 + 871974886*q**2?\nAnswer: -1008*q - 39386364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2 and -75\/44188.\nAnswer: 44188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 468078346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58521 - 32596. What are the prime factors of x?\nAnswer: 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.1 - 12.9. Let m = 2.5 + -3.6. Let o = u - m. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 13 - 16. Is x != -5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 4*t - 2. Let b(n) = -4*n**3 - n**2 - n. Let l be (-3 - (-1 - 1))\/1. Let j be b(l). Let m(s) = -2*s**3 - 5*s + 3. Calculate j*m(q) + 5*c(q).\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*r**2 + 79 - 478*r - 34 - 398*r**2 - 43 + 2*r**3 as s*r + z*r**3 + o + k*r**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, 0.3, 1\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94754 - -a51?\nAnswer: -93903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46049.74113 rounded to the nearest 10?\nAnswer: -46050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35761, -142591, -320641, -569911, -890401?\nAnswer: -1282111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqfqqfqqqffqqqfxq?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 5603185 and -12.4.\nAnswer: 5603172.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -68221100 to the nearest one million.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 11*s**2 + 45*s - 57. Calculate the remainder when 224 is divided by x(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13*o**4 + 28*o**3 - 92*o**2 + 43*o + 8. Let n(y) = -13*y**4 - 28*y**3 + 93*y**2 - 44*y - 8. Let m(c) = 6*g(c) + 5*n(c). Suppose m(t) = 0. What is t?\nAnswer: -4, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1231 (base 4) to base 8\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - s + 5 + 15, 2*d = s - 44. Let b = d - -36. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z. Suppose -16*p = -10*p - 12. Let d(y) = -6*y. Determine p*d(j) + 3*t(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14545816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 18*o + 126 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 - 6*z + 5. Let s(g) = -2*g - 1 - g**2 + 3*g + 0*g. Let y(u) = u**3 - 6*u**2 + 7*u + 9. Let j be y(4). Determine j*s(m) + i(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2667 divided by 3\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39155, -78284, -117391, -156464, -195491, -234460?\nAnswer: -273359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9265 and 5559?\nAnswer: 27795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 4, -31.\nAnswer: -31, -0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -2*d + 14 - 3\/2*d**2. What is p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) 21 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1149*y**5\/5 + 508*y**3\/3 - 2005. What is the third derivative of h(z) wrt z?\nAnswer: -27576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6886 is divided by 341.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**3 - 156*p**2 - 416*p + 11. Let f(m) = -3*m**3 - 52*m**2 - 139*m + 4. Let r(z) = 4*d(z) - 11*f(z). What is the second derivative of r(y) wrt y?\nAnswer: 6*y - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 2*j - 1. Calculate the remainder when u(3) is divided by ((-3)\/((-18)\/(-33)))\/(1\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-6110)\/(-873) - 7)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/228*10*4\/(-30)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - (23 + -35))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 + 3*d - 11. Let r be a(5). What is the second derivative of -3054*x**3 + 61*x + x**r - x**4 + 3054*x**3 + 260*x**5 - 2 wrt x?\nAnswer: 5200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*v**2 + 8*v**2 - 12*v**2 - 15*v**2)*(1 - 1 - 1) to the form w*v + u*v**2 + y and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:29 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(1\/8)\/h)\/(h*(h\/((h\/h**(-4\/5))\/h))\/h*h))**(-10))**19)**(18\/13) assuming h is positive.\nAnswer: h**(14193\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 311 or 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.9001081 + 13.9. What is u rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2. Let r(d) = 10*d**2. Suppose -l + 35 = -3*n + 7, 3*l = -3*n - 24. Calculate n*s(f) - 4*r(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -96. Let f = m - -52. Let u = f + -5. Which is the second biggest value? (a) 2\/3 (b) -3 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 + 40*o**3 + 5*o - 3*o - 2*o**2 - 135*o**3 + 45*o**3 + 55*o**3 wrt o.\nAnswer: 48*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96, -260, -498, -810, -1196, -1656, -2190?\n\"Answer: -37*g**2 - 53*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 96229?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 68*t + 183. Let r be w(12). What is the highest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2825182.998 + 2784048.397998. Let r = -41135 - y. Let o = r + 0.4. Round o to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2 - 7*v - 2. Let r(l) = -9*l**2 - 4*l - 1. Give -3*g(s) + 5*r(s).\nAnswer: 6*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -53*u**2 - 385*u - 35. Calculate f(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53850 is divided by 6605?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -5*i + 5\/2*i**2 + 5\/3*i**3 + 10 + 1\/2*i**4. Let u = 42 - 40. Let c(z) = -z**3 - 2*z**2 - 2*z + 2. Give u*t(a) + 5*c(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.87283 minus 1?\nAnswer: -194.87283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/31 - -40\/651. Sort z, -2, 0.4, 0 in descending order.\nAnswer: 0.4, z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632\/7 at most as big as 948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 8. Let t be f(-3). Let y be t\/5*(7 - 0). Let i = -12 - -13. Sort i, 2, y, -2 in descending order.\nAnswer: y, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*g - 84 = 2*g, -4*c = 5*g - 349. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flllffflfllf. Give prob of sequence fl.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7156634806 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 280 - 6\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*(d\/d**(-1\/3))\/d)\/d)**(-34))**(-7\/2) assuming d is positive.\nAnswer: d**(476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 468*p - 152*p - 3476 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/63768632 and 93\/37510960.\nAnswer: 637686320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 2*x + 3*x + (-3*x + 2*x - x)*(3 - 6 + 1))*(2*x**4 + x**4 + 2*x - 2 + 0).\nAnswer: -9*x**5 - 6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -26\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 548.06 + -548. Sort o, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i**4 - 547328*i**3 - 106748884*i**2 - 5198344144*i + 1744662640 = 0. Calculate i.\nAnswer: -45415, -98, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*r + 4 + 8, -r - 8 = 4*x. Let n(h) = -3*h - 1. Let f be n(x). Suppose -2*g + 20 = f*g, 5*y - 2*g - 50 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1398, 0.4 in decreasing order.\nAnswer: 1398, 0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3067923851 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 120, 1\/4040, 2\/17, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46458 less than 0.03?\nAnswer: 46458.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*a + 24, -4*s = a + a - 152. Find l, given that 2 + 126*l**3 + 109*l**2 + 2 + 49*l**4 + s*l + 0 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 72513 + 14367 = 0. Suppose 13*h - 10*h = 3*w + y, -w = -1. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4053 - -4078. Let h(s) = -s**2 + 22*s + 74. What is h(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 261 = -3*s, -4*s - l + 376 = 3*l. Suppose -s = 5*n + 14. Does 5 divide n\/(-4) - (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14722.2214247 + -0.99?\nAnswer: 14721.2314247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = 2*h. Suppose 5*f = h*c + 54, 0*f + 4*f - c = 45. Suppose -3*d + 51 = -51. What is the remainder when d is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 8 - -2)\/(-10 - -2). What is the nearest to -1\/2 in 6, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {i: 2, g: 2, a: 1, u: 1, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 - s**4\/2 - 5*s**3\/2 + 13*s**2 + 13*s - 3. What is the remainder when r(9) is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + -4 - (-35 + 45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807529332?\nAnswer: 2, 7, 64554619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1484437900 rounded to the nearest 1000000?\nAnswer: -1484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018030417 to the power of 1\/3, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 + -67. Suppose -n - 5*r = 61 - 180, -n - 2*r = -m. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -1\/5, 4.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183208367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 27. Let u be y(8). Suppose -4*c + 3*j - 4 - 13 = 0, 2*c + 5*j = u. Is 20 a factor of c + 1 + (-9 - -50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 15 + 8 + 7 to the form t + z*y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 91 (b) -4\/3 (c) 1\/13 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/((-1256)\/(-2355)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 6*s = -140. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 - 7*o - 3. What is t(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9 - 130*r - 5.\nAnswer: -130*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*w + 5*w + 3*x, -4*w = 3*x - 38. Calculate the least common multiple of 172 and w.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -84.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 48*p**3 - 270*p**2 - 568*p - 408 = 0. What is p?\nAnswer: -17, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -629.050947 + 629.12. Let y = 0.069 - g. What is y rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 - 24*b**3 - 12*b**2 + 96*b = 0.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/11 + 220620*g\/11 + 6084148050\/11 = 0.\nAnswer: -55155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -22*n - 11. Let o(f) = 22*f + 7. Give -2*o(s) - 3*p(s).\nAnswer: 22*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 9*n + 12. Let b be j(-8). Suppose 0 = c + b*k - 2, -4*c + k + 8 = -k. Calculate the smallest common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 279, -67, 0 in increasing order.\nAnswer: -67, 0, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 - 155. Which is the nearest to 0? (a) g (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 1\/2*y**2 + 68 = 0. What is y?\nAnswer: -4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 + -527. What is the thousands digit of 5*(-1)\/y*2174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 22 = -16*x + 2*m, 4*x = -2*m - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let f be a(2). Let l be (-966)\/(-24) + 63\/(-12). Put f, l, 2, -1 in descending order.\nAnswer: l, 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(4*n - n - n) + 5*n + 3*n - 2*n in the form t + a*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0 + 1\/6*k**3 - 1\/6*k**5 + 0*k + k**4 - k**2 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265 + 282. Calculate the remainder when 135 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(2 + 1 - 8)\/(-1). Let a(t) = -11*t**3 + 11*t**2 - 5*t - 1. Let l(q) = 9*q**3 - 10*q**2 + 5*q + 1. Let y(c) = u*a(c) - 6*l(c). Calculate y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 401259*o. Let i(z) = -48*z. Calculate i(h(j)).\nAnswer: -19260432*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, 1, 0.3, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*q + 1217*q - 2*n - 15 = 0, -q + n = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 - 6*b**2 - 4*b + 3. Let s(o) = -3*o**3 - 5*o**2 - 3*o + 2. Let v(f) = -5*s(f) + 4*x(f). Does 13 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-310)\/(-18) - 6\/27. Suppose 0 = 2*h + 5*w + 14, h - 4*w - t = 2. Let x(q) be the first derivative of -3*q**2\/2 + 3*q + 2. Determine x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 5*s - 81. Let d(c) = 2*c**2 + 3*c + 3. Let p(l) = -2*l**2 - 4*l - 4. Give s*p(r) - 4*d(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3277068)\/(-314013) - 64\/(-152)?\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2027443197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-598)\/(-117))\/(-23))\/(1*-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**2 + 4*w - 2. Let p be s(-5). Let k = -276 - p. Which is the nearest to 2\/3? (a) 5 (b) k (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*s**2 - 388*s**2 - 363*s**2.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 19 + 18*x - 20 + 16*x**2 + 3*x**2. Let f(t) = 9*t**2 + 9*t. Let o(m) = 5*f(m) - 3*g(m). Find n, given that o(n) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(45\/30) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 52 (c) -3246\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**3 - 48*s**2 + 2*s - 26. What is m(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -231?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*k - 4 + 9 = 0, y - 4*k - 4 = 0. Solve -2*g + 0 + 2 = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 1.98. Let d = 138 + -222. Let b = d + 254\/3. Sort 4, b, v.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)*t*t**4*((t*t*t**(-2\/3))\/t)**(-3) assuming t is positive.\nAnswer: t**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 5*r, -r + 4 = 4*h - 2*r. Suppose -y - 2*y = 3*g - 24, -4*y + 3*g + 4 = h. Factor -1\/2 - 1\/2*k**y + 2*k + 2*k**3 - 3*k**2.\nAnswer: -(k - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 3.94. Let k = -24323 + 24322. What is the smallest value in -5, k, g, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3142 rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60260 is divided by 216.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3312424 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 2 + 4 - 3*x - 5*x**2.\nAnswer: -5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23378 (base 16) in base 3?\nAnswer: -21022212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2142 = 3*d + 3*p, 2*p = -2*d - 3*p + 1419. Suppose -z + 1524 = 5*x, -2*z + d = 5*x - 811. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Solve -11 - 9 = n*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*v - 23. What is the third biggest value in -0.1, v, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3802, -1596, -16200, -40010, -73026, -115248, -166676?\nAnswer: -227310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 13. Let h be k(-13). Let j be 1\/1 + h\/(-3). Sort j, 5, 13 in increasing order.\nAnswer: j, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 45648?\nAnswer: 319536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.106 - -22.894. Which is greater: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212597 (base 11) to base 9.\nAnswer: 567486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 7. Let j be 6\/((-3)\/(-1)) + -4. Let q be x(j). Let o(v) = -v. Let u(n) = 4*n. Let z be u(1). Let r(a) = -a - 1. Calculate q*r(l) + z*o(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*w - w. Suppose -4*x - 3*x - 343 = 0. Let j = -49 - x. Sort w, 5, j in decreasing order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, g: 2}. What is prob of sequence glll?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.051, -15\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80)*-2*-6 + 5*sqrt(45) + sqrt(35)\/(sqrt(14)\/sqrt(2))).\nAnswer: 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2319\/92 + 114\/23. What is the common denominator of g and 40\/379?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(-2)\/(32\/(-12)). Let w(k) = -47*k**3 - 6*k**2 - 4*k - 8. Let i be w(c). What is i rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)\/(y*(y*y**(-11)*y)\/y) assuming y is positive.\nAnswer: y**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25184 divided by -1\nAnswer: 25184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-2*b - b + 2*b) + 27*b + 2 - 14*b - 20*b.\nAnswer: -8*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-15)\/((-180)\/(-24)))*8*43\/12?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66878.\nAnswer: 2, 7, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*q + 21 = 0, -1 = -4*n + 3*q - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-4 - 5)\/3. Let v(r) = 14 + 2*r**u - 18*r + r**2 - 4*r**2 + 9. What are the prime factors of v(-16)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/5 + 2 - 4820\/20025. Let o = g + -30\/89. Which is the biggest value? (a) -0.2 (b) o (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152513879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(2\/109)*d**9*d**(-4\/3)*d)**(4\/37) assuming d is positive.\nAnswer: d**(104\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtr when three letters picked without replacement from {r: 18, t: 2}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(-29) assuming k is positive.\nAnswer: k**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54285762?\nAnswer: 2, 3, 9047627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**2 - 6*u**2 + 8*u**2 - 3*u**2 to the form p*u**2 + w*u + a and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3516 and 433548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*c - 3*c. Let v(t) = 53*t - 21. Let i be v(c). Suppose 5*x - 88 = -2*j, 5*x + 59 = -3*j + i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 380, 1 in decreasing order.\nAnswer: 380, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**4\/2 + 2*q**3\/3 - 2*q**2 + 2*q + 4. Let o be z(2). Is o less than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**4 - 6*t**3 - 5*t**2. Let n(a) = -a**4 + a**3 + a**2. Let f(q) = -6*n(q) - w(q). Factor f(s).\nAnswer: s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqlqdlddqqqlqm. Give prob of sequence qqml.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/259 and 87\/14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3211356061 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5210 + 5805. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 216, 368, 556, 786?\n\"Answer: v**3 + 9*v**2 + 88*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 12, o: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (-3 + -15) - (-9 + -2 + 1) - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.05552741.\nAnswer: 0.38869187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16\/336*14)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -185*m. Let q(l) = 3*l**2. Determine q(g(n)).\nAnswer: 102675*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + ((-12)\/52)\/(6\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let z = -2.612 - -3.612. Put z, b, -0.6, 0 in descending order.\nAnswer: z, 0, -0.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrrrrq. Give prob of sequence rr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143 - 938821117.\nAnswer: -938821260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide -14994 by 153.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n - 50. Let v be j(-11). Find the third derivative of -v*a**2 + 11*a**2 + 2*a**6 + 39*a**6 - 12*a**6 wrt a.\nAnswer: 3480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:44 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001033322 + -1?\nAnswer: -2001033323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 2, c: 3, j: 1, g: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - 2*k)*(184 + 10126*k - 549 + 178 + 187).\nAnswer: -30378*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83076 (base 9) to base 11.\nAnswer: -38148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/4 (b) 5\/6 (c) 91 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 7*q**2 + q + 1. Let p = -18 + 25. Let z be j(p). Suppose -2*f - 2*f + z = 0. Calculate the least common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-10) + 9\/54. Which is the nearest to -27? (a) -2 (b) 0.2 (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -1\/10*o**6 - 1\/12*o**4 + 0*o**2 + 0 + 0*o**3 - 2*o + 0*o**5. Find the third derivative of k(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*(w*w\/(w\/(w*w\/w**(-1\/3))))\/w)*w))\/(w*w\/w**3*w))**(-2\/75)\/((w*(w*((w**(-2\/5)\/w)\/w)\/w)\/w*w)**(-1\/20)*w**0\/w*(w*w**4)\/w) assuming w is positive.\nAnswer: w**(-2819\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 8*r + 4. Determine t(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68) - sqrt(17)) + (sqrt(51)\/(sqrt(15)\/sqrt(5)))**2.\nAnswer: -11*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19550.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 10 = -o - 0*c, o + 79 - 59 = -8*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 + -31. Is (4 - (-140)\/(-30))\/(2\/s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z**3 - 14*z - 6. Let p = -28 - -33. Let m(i) = -9*i**3 - 9*i - 4. Let v(q) = 4*q + 4. Let b be v(-3). Determine b*m(j) + p*o(j).\nAnswer: 2*j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002857 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/7 - (-6)\/(-21). Let i = 1259\/4 + -337. Calculate the common denominator of i and ((-122)\/8 - a)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -1850, -4538, -8394?\nAnswer: -13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -53*f - 91. Let h(g) = -27*g - 42. Let k(i) = -13*h(i) + 6*u(i). Let s(d) = -2*d + 13. What is s(k(z))?\nAnswer: -66*z + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10 + 16\/(-5). Let a = 22 - 16. Let p(w) = -w**2 + 7*w - 5. Let y be p(a). Put q, 2, y in decreasing order.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788951?\nAnswer: 37, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128689\/24 - -5361. Calculate the common denominator of -55\/32 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1656*x**2 - 2000*x**2 - 1703*x + 3658*x**2 as l + h*x + u*x**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 26*l = -5*r - 90, l + 65 = -4*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 34*s + 392. Let v be n(43). Solve v*c = x, -12 + 14 = 2*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7943 - 2987. Is 42 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 3*q**2 - 5*q - 6. Let n be c(-4). Let y = n + 18. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1\/2*l**2 + 0 - 20\/3*l**3 - 4*l. Is 39 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 51791 divided by -67\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = -12500 + 16616. Solve 70*y - 21*y = u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*27\/((-1080)\/(-224))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*r + 4273 + 34539 = -9114 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*r = -3*w + 18, 22 = w + 4*r. Let i(v) = 21 - w*v - 45 + 24. Let f(b) = -2*b**2 - 20. Determine i(f(n)).\nAnswer: 4*n**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -292 times 62\nAnswer: -18104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 1065735 + 1065735.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 120325 (base 7) to base 3\nAnswer: 1002212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300642 and 4823784?\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 148391267 and 148391267 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3524*t**2 - 9688*t - 36301298 wrt t.\nAnswer: -7048*t - 9688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/5))**(2\/29)*(f**(3\/8))**(-4\/9) assuming f is positive.\nAnswer: f**(-193\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -193719 or -968602\/5?\nAnswer: -193719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -1, 3.132?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.819 - 0.38. Let s = 0.139 - l. Which is smaller: s or -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(-1 + sqrt(19)) - sqrt(931)*2))**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -65. Let p = m - -157. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**4 + 34896*u**3 + 7270096*u**2 - 123029760*u + 501068800 = 0?\nAnswer: -8510, -230, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 11:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_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: What are the prime factors of (-2)\/(-8) + 721260\/80 - -6?\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025545561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p - p**2 - 24*p**3 - 1 + 9*p - 6*p**3. Let z be a(-1). Suppose 4*t - 71 = 9. Calculate the highest common factor of z and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - (8 - 2))) + (22 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9199 (base 16) in base 8?\nAnswer: -110631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, -1\/6, 5, 2\/19 in descending order.\nAnswer: 5, 3\/2, 2\/19, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6335 and 1920410?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 - -1 - 188552\/(-23660) - 7.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.7 + 189.7. Which is the fourth smallest value? (a) 5 (b) 0.1 (c) -0.09 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 614, 920, 1282, 1700, 2174, 2704?\nAnswer: 3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)\/d*d)\/d)**33*(((d*d**1\/d)\/d)\/d*d)**43 assuming d is positive.\nAnswer: d**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 4*i**3\/3 + i**2\/2 + 3*i + 24. Let q be (1\/(-2))\/(6\/12). Calculate w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49402417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:41 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -864760 >= -864763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 9. Let r be u(6). Suppose 6*v - r*v = 4521. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3224, 5, -5956 in decreasing order.\nAnswer: 5, -3224, -5956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -929459 at least as big as -929460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/554477 and -58\/2653.\nAnswer: 554477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -783 (c) 256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 15*l - 16414 = 0. List the prime factors of l.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:21 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778369006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/3 - 125840*w\/3 + 3990950 = 0.\nAnswer: -63015, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n - 102*n = -59*n. Solve 104*s - 51*s - 477 = n for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -51*t - 1. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 2436989904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -26*g**2 - 29*g + 15. Differentiate k(m) with respect to m.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18373*a**5 + 2*a**3 - 49580*a**2?\nAnswer: 1102380*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*a - 944 - 596. Find the second derivative of 288*j - 61*j**3 - 89*j**3 + a*j**2 - j**3 - 71*j**2 wrt j.\nAnswer: -906*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2198232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -756, -3005, -6752, -11991, -18716?\n\"Answer: s**3 - 755*s**2 + 9*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 4.6 in ascending order.\nAnswer: 3, 4.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 2*y**2 - 4*y**2)*(-338 + 46 + 3170) in the form j*y + r + c*y**2 and give c.\nAnswer: -2878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 53*s**2 + 19*s. Let i(f) = 295*f**2. Give z(i(n)).\nAnswer: 4612325*n**4 + 5605*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*q + 3148 = 323, -q = 5*g + 4730. Are 6 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 23*m**2\/2 - 28*m + 25. Find the first derivative of w(s) wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 155*f + 91. Give w(-77).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19899724 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -75790 divided by 1166?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s**(-6)\/s)\/s)\/s*s\/(s**(-1\/2)\/s)*s)**25 assuming s is positive.\nAnswer: s**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 - 242 = 9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 76, 146, 226, 310, 392, 466?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9981, -39946, -89897, -159834?\n\"Answer: -9993*k**2 + 14*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 622 and 316130.\nAnswer: 98316430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d + 3. Let r(c) = c**3 + 6*c**2 + 5*c + 3. Let x be r(-5). Suppose x*t = 7*t. What is o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 436907?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - a**2 + 9*a - 6. Give c(4).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 15. Let k be q(11). Suppose 63 = 3*g - k. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 40. Let d(y) be the first derivative of 0*y**5 - y**3 + 0*y**6 - 2\/7*y**7 + 0*y**4 + m*y + 0*y**2 - 1. Find the third derivative of d(u) wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16261 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:12 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*r - 11*r. Let d be (-2)\/4 - 11\/(-2). Sort r, d, -2 in increasing order.\nAnswer: -2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 7*b**2\/2 - 10*b + 147. Suppose 5*n - 33 = -2*i, 6*n = 2*n - 5*i + 23. Does 8 divide x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*k = 22, 5*j + 4*k = 8*k + 26. Suppose -53 = -5*n + 252. Suppose -2*v - 6*h + j*h + 94 = 0, v - 5*h = n. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 + l - 2*l - 8 + 2 - 4*l**3 as z*l**2 + i*l + s + k*l**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836397?\nAnswer: 3, 199, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3199 divided by 2.\nAnswer: -3199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - s**4 - 23*s - 22*s + 64*s + 4*s**3 in the form x*s**4 + j*s**2 + n*s + a*s**3 + q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*d - 2*d - d in the form v*d + y and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2721.1398 to the nearest 10.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**2 - 3*q + 6*q - 3*q to n*q**2 + t*q + u and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 705934.2l?\nAnswer: 705934200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*s**3\/7 - 88*s**2\/7 - 40*s\/7 + 64\/7.\nAnswer: -2*(s + 2)**2*(13*s - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-14))\/(25*72\/3150). What is the closest to q in -1\/4, 5, 5.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 554951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 7*w**3\/3 + w**2\/2 - 9*w. Is i(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 3. Determine i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -11\/2*i**2 + 12*i + 1\/6*i**3 + 0. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 121*g**2 + 1203*g - 77. Give n(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -2, -0.5.\nAnswer: -2, -0.5, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 38. Suppose 109*n + 22 = 4*f + 108*n, -f + 5*n - 4 = 0. Give b(f).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + c + 0*c + (-2 + 2 - 1)*(c + c - c) + 86 + 18*c - 86 - 4 + c + 4 to a + n*c and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-22)\/(-8) - 51\/(-12). Let q(w) = 5*w**2 + 5*w. What is the tens digit of q(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 7*m**2 - m + 13. Let k be y(7). What is the units digit of (60\/7)\/(k\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 3*j - 2. Let v be t(3). Let r = v - 9. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740603?\nAnswer: 2740603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 53*o + 69. List the prime factors of z(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 6\/11*y**2 - 28 - 2\/33*y**3 - 18\/11*y. What is i in n(i) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/50 - (9\/(-6) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/12 + 1\/6. Which is the biggest value? (a) -1 (b) -1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 15*r + 24. Let h be a(14). Suppose s + 4 = h. Suppose s*w + 47 - 209 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 86, 198, 356?\n\"Answer: 23*f**2 - 3*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/7 - 12*o**2\/7 - 18*o - 216\/7 = 0 for o.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r + r)*((3*r**3 + 3*r**3 - 4*r**3)*(-4 + 1 + 4) + (-r**2 + 0 + 0)*(4 - 4 + 8*r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153.9999972 + -154. What is n rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*y + 461*y = 0. Suppose 7*g - 59 + 31 = y. Solve 0 = g*o + 11 + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 - 335 = 33*l + 22 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + r - 5. Let s(n) = -961*n - 2*n**2 - 14 + 963*n - 4*n**2. Determine -8*f(x) + 3*s(x).\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -768153.8 rounded to the nearest one thousand?\nAnswer: -768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 3*c**2 - 7*c + 17. Let f(w) = w**2 - 6*w - 23. Let h be f(9). Let b be v(h). Solve -b*l - 5 = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + 0 + 328280\/435. Factor -2\/3*o**2 - l + 136\/3*o.\nAnswer: -2*(o - 34)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 1 - -1 - (-6300 + 6333)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52698476617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 155831 > 155839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071669 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**7\/189 - 22*b**6\/135 - 2*b**5\/9 + 106*b**4\/27 - 266*b**3\/27 + 98*b**2\/9 - 14*b + 2. Factor y(u).\nAnswer: -4*(u - 1)**3*(u + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)\/sqrt(4) + sqrt(9))*-4 + -1*sqrt(9)*2)\/(sqrt(192)\/sqrt(4)*4))**2 + -3.\nAnswer: -117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.08 - -0.08. Let q = 19 + -21. Sort d, q, 0.2.\nAnswer: d, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(100 - 100 - 6*j**3) + (j**2 + j - j)*(-3*j + 6*j - 4*j) as b*j + o*j**2 + y + l*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {l: 3, z: 7, h: 1, r: 1, w: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 133 in 1\/4, -12.3, -1\/9, -1.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -7*c**5\/20 + 44*c**2. Let q(l) = -l. What is q(s(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-44))\/(((-2)\/(-14))\/((12 + -8)*-1))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39400 divided by 1970.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -26*y**2 + 9*y + 11. Let c(x) = 9*x**2 - 3*x - 4. Determine -11*c(q) - 4*o(q).\nAnswer: 5*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4041 - -1?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-13 + -1))\/(1*(-2 + 1))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 23. Let k be u(18). Suppose 5*s + 10 = 0, k*g - 2*g - 227 = 4*s. Let h = g + -73. Solve 12 = -h*v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -704, -990, -1232, -1436, -1608?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttd when three letters picked without replacement from {t: 10, d: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (1 - -2) + (10 - 12 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac2 - -5?\nAnswer: -abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, 0.07, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 + 1174*g**3 - 313309*g**2 + 22751580*g + 260030700 = 0.\nAnswer: -10, 177, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)\/c**(-3\/8)*c\/(c**(-9)*c)*c**(-2\/3) assuming c is positive.\nAnswer: c**(-55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from aqpiqipippaqiaq.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16781 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 - 48 = -3*r. What is the tens digit of (-4)\/18 + (-2 - 2496\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*w - 327*w = -191*w. Let k(n) be the first derivative of 21\/2*n**2 - 16 - 7\/3*n**3 + w*n. What is the second derivative of k(s) wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:38 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 0, -45 in increasing order.\nAnswer: -45, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 - 14 = 0, 0 = -2*d - n + 309. List the prime factors of d.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) + 10659\/70110. Let a = d + 337\/9020. What is the common denominator of 51\/8 and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**2 - 272*o + 450. Calculate m(21).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 236*t**2 - 19897*t + 2312. What is h(-66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(336)\/(1*sqrt(12)) - sqrt(28)) + 5)**2 + sqrt(1008) + ((sqrt(1008) + -1)*5 - sqrt(1008))**2 + 5 + (sqrt(1008)*1)**2.\nAnswer: -468*sqrt(7) + 17191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1888 + 1113 + 898)*(-f + 0 + 0)*(-3*f**4 + 0*f**4 + 4*f**4).\nAnswer: -3899*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -0.2 (c) 0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 + -0.7. Let d = -10.9521065 + 14.55211. Let x = d + h. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 4842.724.\nAnswer: 24213.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 5) + (-4 - -6) + 4. Solve o - i + 10 = 2*i, -q*i = 3*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/7 + 15688*y**4\/7 + 47323*y**3\/7 - 875809*y**2\/7 + 2096310*y\/7 - 1413000\/7 = 0. Calculate y.\nAnswer: -10, 3\/2, 4, 3925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 7875, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) 1\/3 (c) 474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54521, -109040, -163561, -218084, -272609?\nAnswer: -327136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, y: 1, q: 3, s: 3, h: 3, u: 1}. Give prob of picking 2 s and 1 h.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -63. Suppose -2*k = -3*g + 14737, 4*g + 10*k - m*k - 19668 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45117168 and 22?\nAnswer: 496288848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/29)*(s**(13\/4)*s*s)\/s*(s**(-16)\/s)\/s**(-9\/7) assuming s is positive.\nAnswer: s**(-9253\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 425, 624, 807, 968, 1101?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4311.3 - 4311. Which is the third smallest value? (a) w (b) -5 (c) 1 (d) 5.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1567651\/15 + 104510. Let o = 2\/4405 - -8668\/312755. Let d = o + -148\/213. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 1436.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -752204, -751719, -751232, -750743?\n\"Answer: q**2 + 482*q - 752687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8894819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238152 is divided by 103176?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 0 - -4566) + 180\/(-45).\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 + -139. Suppose 4*w - i = -3*w. Suppose -16*t + w = -14*t. Calculate the least common multiple of 3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert b128 (base 13) to base 6.\nAnswer: 304454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4920)\/738*(-3)\/10. Solve t*r = -10 - 6 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - g**4 + 2*g**2)*(4 + 4 - 4)*(-5 - 1 + 0) to the form j*g**3 + w*g + r*g**2 + c + q*g**4 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/5 + 76104*u - 1141596\/5.\nAnswer: 4*(u - 3)*(u + 95133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2474676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 9572908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**3 + 287*n**3 + 403*n**3 + 222*n**3.\nAnswer: 954*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81067 + p**4 - 2*p**3 + 81067 - 1685*p**2 to f*p**3 + t*p + w + a*p**4 + q*p**2 and give q.\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20.3. Let v = 5 - 0. Let f = 3 - v. What is the smallest value in -3, f, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619180 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, -715, -1607, -2497, -3385, -4271?\nAnswer: -5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -99.11 and 5493.\nAnswer: 5393.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5855, -21086, -46465, -81986, -127643, -183430, -249341, -325370?\n\"Answer: h**3 - 5080*h**2 + 2*h - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let p be 4 + (2 - (-2 - -4)). Let d(u) = i*u - u + 0*u + p. What is d(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 12. Let y be m(4). Suppose -9*a = -y*a - 25. Is (3\/(-5))\/(a\/(-2575)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507545 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -86*b**2. Let j(v) be the second derivative of 0*v**3 + 1\/12*v**4 - 9 + 4*v + 0*v**2. Calculate r(j(i)).\nAnswer: -86*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:47 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11901*a**2 + a + 488603.\nAnswer: -23802*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (108*-1*1)\/(-1). Suppose 6*l - p = 4*l + 19, 0 = -3*l + 3*p + 21. Calculate the greatest common divisor of f and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-30 + 30 + g**2) + (-g**2 + 4*g - 4*g)*(-1 - 1 + 1).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 244454400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598450?\nAnswer: 2, 5, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 3*l**3 - 2*l**3)*(-l**2 - 2*l**2 + 6*l**2) - 12*l**5 - 55*l**4 + 55*l**4.\nAnswer: -30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7150792\/249 - 28718. Let a = g - -1922\/1743. Determine h so that -2\/7*h**4 + 4\/7*h**3 + 0 - 16\/7*h + a*h**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402, -3\/470, 3 in ascending order.\nAnswer: -402, -3\/470, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 49 = -6*p + 3*p, 2*p - 2*c = 6. Suppose -4*q + p = 0, 0 = -2*i - 0*i + 3*q - 2. Suppose i = -j - j. Is j not equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(-1*sqrt(175))*2)**2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 18. Let c be u(-9). Let f(a) = a**2 - a - 2. Give f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/13 - 74*z**2\/13 - 116*z\/13 + 1520\/13.\nAnswer: 2*(z - 38)*(z - 4)*(z + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 57. Let g(r) = r**2 + 3. Calculate g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(4*5*(sqrt(112) + 3 + sqrt(112) + (sqrt(112) - (sqrt(112) - (sqrt(112) + sqrt(112)*1))))*2)**2.\nAnswer: 768000*sqrt(7) + 14408000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let t(l) = 232 - 232 + 37*l. Give g(t(z)).\nAnswer: 2738*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 8. Suppose -1 = -i, -2*y - i + 30 = 3*i. Let w = b + y. Calculate the greatest common factor of 176 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 4*d - 19. What is y(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**3*f*l**2*s - 2*c**3*f*s + 2*c**3*l - 59*c**2*f*s - 1917*c**2*l**2*s + 5*c**2*s + c*f*l - 2*l wrt l.\nAnswer: 12*c**3*f*s - 3834*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210101121 + 1001?\nAnswer: -1210100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -286 - -288. Let f(z) = -z**3 - 5 + 3*z**v - 2 - z**2 + 2*z**3 + 6. Give f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*-6)\/((sqrt(150)\/sqrt(3))\/sqrt(5)) + -3.\nAnswer: -3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393*i**2 - 2*i + 7*i**3 - 2*i**3 + 134 - 3*i**3.\nAnswer: 2*i**3 + 1393*i**2 - 2*i + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 93. Give m(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t + 5*t - 21*t. Suppose 0 = m - 0*m - 7. Let s(q) = -m*q - 10*q + 2*q. Calculate s(v(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-738))\/(((-1555)\/1244)\/(5\/7))\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 467 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (121\/2 + 2)*41776. Suppose 0 = -4*k + 11*k - p. Suppose -i + 0*i = k. What is i rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, y: 8, k: 2, a: 1, p: 3, s: 1}. What is prob of picking 1 y and 1 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 10 + -4 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*t + 10 = 0, 2 = -3*q + 4*t - 4. Let b(d) = 3*d**2 - 2*d - 3. What are the prime factors of b(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1432)\/(-120) - 12)*-18?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6674 + -6677. What is the nearest to 0 in -10, -2\/11, 2\/19, p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89495.7 to the nearest 10.\nAnswer: -89500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.97 + -0.03. Let m = 200.11 - 196. Let r = -0.11 + m. Put r, t, -2 in increasing order.\nAnswer: t, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 10:17 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-6 + (-4 - -8))) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7420 divided by 1855?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-2 - -2) + 1. Solve q*u + 1 = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5040004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-10))\/(1 + (-30)\/25). Let f = 5 + -3. Suppose f*v + 2*x - 21 - 49 = 0, -3*v = -x - 109. What is the highest common factor of v and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64.781084223 and 0.023?\nAnswer: 64.804084223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*y = 0, -3*p - 3*y + 4*y = 0. Suppose 7*v - 4*v - s = 100, p = -3*v - 3*s + 108. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84 - 4013?\nAnswer: -4097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 3 - sqrt(425))**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8276 + 11751. Find the common denominator of -28\/3 and (20930\/f + -6)\/(8\/60).\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 58. Suppose -8*f = -3*f - 30. Suppose z = f*z - q. Solve -5*d - z = 4*y, -5*y + 0*d + 15 = -5*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*g**3 + 14*g**3 + 86*g**3 - 16*g**3)*(5*g - 2*g - 6*g).\nAnswer: -474*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 633 + -357. Suppose -7*y + a = -3*y. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501 divided by -3098\nAnswer: -501\/3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2318236 at least as big as -2318244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8598210 by -6.\nAnswer: 1433035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i + 25*i + 699 = 181 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*c + 259 = -470*c. Suppose c*u - 7011 = 250*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 9 = -2*i + 5*a, -i + 2*a - 6 = 0. Suppose l - i*m = -0 + 22, 4*l = -3*m + 50. Solve 5*f = -0*f + x + 26, -3*f - x + l = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 4. Let j = x - -3. Let o(l) = -l**2 + 7*l + 1. List the prime factors of o(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 5. Let x be n(5). Solve -9*k = -14*k + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7544 + 0.0156. Let t = -0.23 - r. Let s be ((0 + 2)\/1)\/(-1). Which is the closest to 0? (a) s (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 - 657*q**4 - 1953*q**3 - 1947*q**2 - 648*q.\nAnswer: -3*q*(q + 1)**3*(q + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4677 - 3741 = 6*m. Solve -m*k + 6 = -74*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:21 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w - 23*w + 46*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 3*a - t + 9, 0 = a + 5*t - 38. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 2. Suppose 4*r - 30 = f, -10 = -r - 2*f + x. What is the units digit of ((-3)\/2)\/((-3)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*m - 24*m**2 - 9*m + 3*m**2)*(5 + 178*m - 185*m + 10) to the form a*m + f*m**2 + q*m**3 + l and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-150)\/18))\/(((-32)\/20)\/4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.5, -33, 2, -2\/9, 205?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 69. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4992, 3588, 2184?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 745474*i**2*y - 1086007*i**2 wrt y.\nAnswer: 745474*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/((-5)\/(-7))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j + 1. Let w be d(3). Suppose 0 = -2*o + 2*k + 2, 4*o + 1 = -2*k - w. Solve -4*h + 5*r + 22 = 0, -3*h - 4*r - r - 1 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(((-55)\/225)\/(-11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393294 + 26745387\/68. Let b = m - 166\/17. Calculate the common denominator of b and 13\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 3. Let c(f) = -16*f + 5. Let j(a) = -a. Let x(r) = -c(r) + 3*j(r). What is -5*i(b) + 3*x(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-36)*42\/(-4)*92\/(-6440)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990755 divided by -221195?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzffffzffz. Give prob of sequence zfzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 0)*(0 - 2*a + 0)*(4*a - 16 + 16).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 249 + 237 - 4158*g + 4159*g in the form o*g + f and give f.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-6*-2*sqrt(132) - sqrt(132)) + -6*(sqrt(132) - sqrt(132)*-1) + sqrt(132))\/(sqrt(48)\/(sqrt(4) + sqrt(144) - sqrt(4))))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-2)\/(3 - 0). Let n be (-85)\/25 - (-6 - -2). What is the second biggest value in -3, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -0.02.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.3 and 3.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhak. Give prob of sequence hrh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -78\/35?\nAnswer: -78\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2)\/sqrt(3))\/sqrt(11).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - u)*(-35*u - 3*u + 2 + 18*u) + (2 + 2*u - 2)*(1 - 1 - 3*u) to the form h*u + q*u**2 + s and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = -s, 2*s + 3*s + 32 = -3*f. Let p(g) = -14*g - 2. Let k = 70 - 8. Let d(q) = 2*q + 63 + 3*q + 0*q - k. Determine s*p(t) - 11*d(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 587.6+-177.061\nAnswer: 410.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 + j**4\/12 - j**3\/6 - 4*j**2 + 7*j + 2. Let z be q(-2). Solve -4*k = -4*i, -2*k - z = -5*i - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, -4 in increasing order.\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:30 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 284 and 9041\/32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52705 + 263636\/5. Suppose 2268\/5*o**5 + 432*o**4 + r*o**2 + 0 + 6\/5*o + 747\/5*o**3 = 0. Calculate o.\nAnswer: -1\/3, -2\/7, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 2, 4*k - 73 = -5*b. Suppose 0 = s - 4*l - b, 5*s - 94 = 2*l + 7. Let t = s + -3. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -9*k - 5*o, -32358 + 32387 = -5*k + 3*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + h)*(5*h**2 + 5 - 5) + (2 - 2 + 1)*(-5 - h**3 + 5).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:47 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.294 - 9142.6.\nAnswer: -9138.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 7*q**2 + 20 + (2*q**2 + q**2 - 2*q**2)*(-3 - 2 + 3) + (-2 - 2 + 2)*(-37*q + 4 - 1 - 60*q - q**2).\nAnswer: -7*q**2 + 194*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 369274\/13 + -28406. Suppose 1 = 2*r + 3. Is r greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8654086.84 and -6.2?\nAnswer: 8654080.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 15 = 4*b, 0 = r + 3*b + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 160\/837 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 10. Let n = o - -6. Let i be 0\/(13*(-69)\/(-299)). Put 5, -5, n, i in ascending order.\nAnswer: -5, i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -28. Let p = j + -7. Suppose -3*g + 9 = p, w - 72 = -4*w - 4*g. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d - 10, 545 = 5*r + d. Suppose 0 = -8*h + r + 58. Suppose h*q - 26*q + 375 = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(20) + sqrt(20) - sqrt(25)\/sqrt(5)*2.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19 + 24 - 56 - 7*j + 33. Calculate r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 10) to base 2\nAnswer: 101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7.4*56034\nAnswer: -414651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33537 by 7.\nAnswer: -4791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*s**3 - 19*s**4 + 37*s**4 + 83*s**2 - 91*s**2 to the form t*s**4 + x*s + i + m*s**2 + o*s**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2298 by -370.\nAnswer: -1149\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39255, -39398, -39637, -39972, -40403?\nAnswer: -40930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1890 and 2034.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) 9 (d) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 140. What is the biggest value in 2.5, 0.04, -0.2, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9849882 to 2 decimal places.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/378 and -11\/9345.\nAnswer: 168210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/28 - 747\/140 and (-1527)\/270 - (-4)\/(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 322 + -203. Suppose 0 = -h + 2*g - 31 + u, 3*g - 73 = -h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 1. Let r = -360 + 362. Let w(o) = 0 - 2*o**2 - r + 230*o + 3*o**2 - 232*o. Determine 4*m(n) + w(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose -2*l + 86 = z, 2*z + y*z - 495 = 3*l. Let t be (-4)\/(-10) - z\/165. Which is the second smallest value? (a) -6\/11 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.5, 0.085, 9\/8, -38, 0.4 in ascending order.\nAnswer: -38, 0.085, 0.4, 0.5, 3\/5, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-35))\/((-15)\/(-4221)*6150\/(-5125))\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3474)\/(-31) - ((-1424368)\/(-5456) + -261).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 14 - (37 + -41 - -5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)\/u**(-3\/7)*u**(1\/12)\/u**1 assuming u is positive.\nAnswer: u**(-545\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009894835 to five dps.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2294, 4806, 7316, 9824?\n\"Answer: -n**2 + 2515*n - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 425, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**13)\/((h\/h**(-6\/5)*h)\/h))\/((h*h**(-7\/2)*h)\/((h*h\/h**6)\/h)) assuming h is positive.\nAnswer: h**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -l - 5251784, -7*l = 15*z - 12*z + 36762588. What is l rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 20*l + 5 = 19*l, -2*t - l - 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:27 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/7)\/3*-7. Suppose 2*a - a = i*n + 6, 0 = 4*a - 2*n - 6. Are a and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96988*t**2 + t**3 - 52426*t**2 + 3*t - 4*t.\nAnswer: t**3 - 149414*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4828 and 11492?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1386925 and 388339?\nAnswer: 9708475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 13*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - j**2\/2 - 8*j - 10. Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 756, -57 in decreasing order.\nAnswer: 756, 2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 327, 1062, 2475, 4794, 8247, 13062?\n\"Answer: 38*o**3 - 3*o**2 + 28*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 128. Suppose 90*g + 1880 = i*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 27 = c - 9, -c - 3*f + 36 = 0. Suppose 4*l - c = -0*l. 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 highest common divisor of 4719 and 234.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3105 = -3*w, 58*n = -w + 55*n + 1027. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from pppppzpcpjccjpncj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 41. Solve 4*y + 1 = 2*a + 13, h*a + 5*y - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*(s*s**(-2\/5))\/s)\/s)\/s))\/s**(4\/3)*(s*(s\/(s*s**15\/s*s)*s)\/s)\/((s**0\/s)\/s*s) assuming s is positive.\nAnswer: s**(-179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*v + 198*v - v**2 - 541*v.\nAnswer: -v**2 - 557*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:47 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*b = 24 + 11, 3*p - 25 = -4*b. Suppose 7*s = 2*s + p. Solve -s = 3*l - 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 14231\nAnswer: 2276.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {y: 4, q: 3, i: 1, k: 3, l: 1, t: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 - 4*c + 2. Let y be l(-4). Let o = -2 - y. Calculate the remainder when 21 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - q**2 + 1 - 5 - 8*q**2. Let l(g) = 34*g**2 + 11. Let i(n) = 3*l(n) + 8*m(n). List the prime factors of i(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (1 - (5 - 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -8118 and 1011.\nAnswer: -7107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - k + 22466 = 0, 2*m + 2*k + 7564 = 30032. Does 112 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 6*p - 6. Let z be h(7). Suppose 3*d = 3*a + z - 4, -3*d - 4*a + 32 = 0. Is (d + 1 + 33)\/1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-7 - -19) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i - 2*i)*(178 - 60 + 131)*(0*i - 2*i + i).\nAnswer: 1494*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 6.\nAnswer: -17, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**6 - 10*t**2 - 3*t + 72*t**6 + t**2 - 3*t wrt t?\nAnswer: 9120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/55)\/(2*1\/5). Solve -j*o = -2*w + 10 + 6, 5*w - 22 = -o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421447\/38 - -11090. Find the common denominator of (81\/60)\/(2\/(-4)) and i.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1899 divide 1483379163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p = -5*s - 566, s + 191 = 4*p + 131 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -99 + 91, 0 = -5*g + 4*z + 247. Let d be (136\/g)\/((-2)\/(-6)). Solve -3 = d*c - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2. Let m be c(2). Suppose 2*d + d - m = 0. Solve 3*b - 9 = 0, -2*z = d*z + 4*b - 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine quarters of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-38505)\/(-7344)*(-3)\/(-15) and -119\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:30 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34158566 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2442 - -2468. What is the smallest common multiple of 544 and x?\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 15*(-5)\/(-90)*6. Suppose 33440 = 4*a + x*r, 2*r + 8314 = 5*a - 33486. Round a to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40721039 to two decimal places.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -81 = -1417358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-231)\/(2 - -19) - (-4 + -45). Calculate the greatest common factor of r and 1406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62.53593916627 and 5.\nAnswer: -57.53593916627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-7 + 14 + 0 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 4, f: 4, b: 2, a: 5}. Give prob of picking 1 f and 2 l.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 29*w + 216. What is z(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7922447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 1, l: 1, o: 2, e: 2}. What is prob of sequence eoo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 86. Let q(y) = -y + 17. Suppose 5*p + 55 = 4*s, 5*p + 3 = 5*s - 52. Calculate p*q(w) - 2*h(w).\nAnswer: w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -249, -480, -787?\n\"Answer: -38*a**2 - 41*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9826360 and 102440.\nAnswer: 127742680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 7. Let w = 113 + -113.87. Let s = 9.13 - w. Which is greater: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2 - 5 + 123*p + (-1 + 4 - 2)*(2 - 3*p - 2)*(0 - 3 - 2) to the form g + y*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5207 and 1517.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 771247, 771367, 771475, 771565, 771631?\n\"Answer: -d**3 + 127*d + 771121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4)*(-4)\/(-3). Let o = -3803\/9 - -423. What is the second smallest value in i, o, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 - 6*o**2 - o - 3. Let l be z(-8). What is the units digit of (0 - 1 - 1) + l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 2*d - 14, -d = 4*b - 16. Suppose 4*k + b*y = 4 - 9, 30 = 3*k - 3*y. Sort 30, 0, k.\nAnswer: 0, k, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) 1\/37161 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/6 - 142*v**3\/9 + 1472*v**2\/3 - 14336*v\/3 + 2172. Factor g(j).\nAnswer: 2*(j - 32)**2*(j - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4 - 10 = 0, 0 = 5*c - j + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3*o**2\/2 + 8*o + 1. Calculate the remainder when b(6) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -379656, -7 in descending order.\nAnswer: -4, -7, -379656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2120?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -26. Let l(f) = -2*f**3 + f. Let s be l(1). Sort s, x, -5 in descending order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051541 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27494 + 744?\nAnswer: 28238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3864 and 1351434?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/180 + t**4\/6 - 2*t**2. Let g(a) be the second derivative of l(a). Let f(d) = d. Calculate f(g(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52581130 - 31*x**2 + 52581130.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -105958 != -105973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -24*o**2 + 3*o - 4. Let b be r(2). Let t = -98 - b. Let s = -3\/22 - 4\/11. What is the nearest to 2\/5 in t, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48751 - 24.59051. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10572 is divided by 2635.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.24, -2, 19.\nAnswer: -5, -2, 0.24, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Suppose -3*g - 5 = -m. Put -2, -1\/8, -7, g in increasing order.\nAnswer: -7, -2, g, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -4 in descending order.\nAnswer: 4, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -99, -7\/5, 0.2, -1, 0, 41.4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2\/25, -1 in decreasing order.\nAnswer: 2\/25, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6796, 13600, 20402, 27202, 34000?\nAnswer: 40796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 54*z - 2394. Give h(46).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.3, -2\/9, 0.5, 61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 10*y. Sort 2, 3, y, 10 in ascending order.\nAnswer: y, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3053 and 131847.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 1. Let f be y(-1). Let m(r) = r + 12. Let q be m(-9). Suppose -q*u = 2*u. Solve f*x - x = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:57 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20.51 in 1, -0.61, -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 11*q + 18. What is the tens digit of f(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126249280?\nAnswer: 2, 5, 7, 11, 71, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/5 - 35538742*t\/5 + 315750545735641\/5 = 0 for t.\nAnswer: 17769371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6858, 6936, 7014?\n\"Answer: 78*k + 6780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 974351 and 974351 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -12, -4*a = -4*d + 30 + 1274. What is the greatest common factor of 820 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20564, 81566, 183234, 325568, 508568?\n\"Answer: 20333*c**2 + 3*c + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 59. Let s be j(-10). Let v be -5 - -5 - s - -4. Solve -3*i - v = -x - 2*i, i + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190\/(-190)*(-51)\/1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101027933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9630083ns in microseconds?\nAnswer: 0.0009630083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11571*g - 1495920 = 5890*g - 12368*g + 1789*g for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/35)\/(4\/(-30)). Let m(z) = z**3 - 7*z**2 + 6*z + 6. Let p be m(i). Is ((-2597)\/(-21))\/(2\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 4*r**2 + 1. Suppose -d = -s + 58, s + s + d = 107. Calculate the remainder when s is divided by h(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 + 238. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/2336165 (c) -1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/(-1591) - (-279)\/2322. Sort r, 0.4, -0.2, 0.5, -71\/2 in decreasing order.\nAnswer: 0.5, 0.4, r, -0.2, -71\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 - 53*k**3 - 569*k + 3.\nAnswer: 40*k**3 - 318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5834\/(-8) + -17 + 15. Let f = 752 + j. What is the common denominator of 47\/50 and f?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -a - 3*a + 4*g, g = -2*a. Solve -a*k - 10 = -2*w, -3*k + 6 - 22 = -4*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 5 (c) 2\/17 (d) -207.2 (e) -2\/9 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 2. Let i(f) = -27*f + 3. Let v(x) = 13*x - 1. Let t(k) = 6*i(k) + 13*v(k). Give -9*c(p) - 4*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3444 and -89\/66920.\nAnswer: 8231160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.17738 and -221.\nAnswer: -221.17738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/(1\/(-4)). Suppose k + 7 = 3*u. Let p = u - 5. Solve p*z + 5*z = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36924+-18279\nAnswer: 18645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:52 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12222001011202 (base 3) in base 11?\nAnswer: -1875595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -18*p + 55. Suppose -2*s + 3*y = -371, -2*y - 97 = p*s - 977. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -10*q + q. Suppose -q*r + 14 = -136. Let s = 6 - 2. Solve r = s*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 59)*(5 + 3419\/(-52)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-11 - 2506\/154)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and 97\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 1288 - 5712. Suppose -4*k + 28 = -3*c - 5, 2*k + 3*c - 21 = 0. Is (-2)\/k - l\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a8a5150 - 0?\nAnswer: -a8a5150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2\/3 (c) -0.1 (d) 3 (e) 2 (f) 3\/4 (g) 0.923\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262.283 - 0.283. Let a = -46771 - -46510.09. Let r = a + u. Round r to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -61*x**2. Let n(b) = -3*b + 52. Determine n(g(v)).\nAnswer: 183*v**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.696767 to 1 dp.\nAnswer: 314.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-1) - -1)\/1. Let f = 485 + -477. Suppose 5*h - 26 = -4*k, -3*h + f*k - 3*k = 14. Which is the closest to 0? (a) -0.2 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -115288\/13677 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13475 - 10990. What is the remainder when n is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.003187 (c) 954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 9*n**2 - 14*n - 103. Give u(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -140143.5443 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcr when four letters picked without replacement from cczrrccz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = 5. Let r(t) = -t**2 + 9*t - 8. Let c be r(j). Solve -c*x + x = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -11*x**3 - 4*x**4 - 96*x + 4*x**2 + 104*x + 3*x**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2. Let n(q) be the second derivative of -q**7\/1260 + q**4\/2 - 2*q. Let j(a) be the third derivative of n(a). Determine l(j(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 294 in 1, 0.15, 1\/3, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.61954 milliseconds to hours.\nAnswer: 0.00017322765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -3\/40*t**6 + 0*t - 17\/2*t**4 - 4\/15*t**5 + 0 - 200*t**2 + 0*t**3. What is the second derivative of b(k) wrt k?\nAnswer: -54*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -7*s**5\/15 - 23*s**4\/12 - 20*s**3\/9 - 2*s**2\/3 - 3. Find t such that a(t) = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 19 - 10 = t, 0 = -5*c + 2*t - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.35 - 3.664. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -5*s**7\/7 - 5*s**4\/4 - 24*s. Find the third derivative of y(f) wrt f.\nAnswer: -1800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*t + 10, -2 = -3*t + 2*t. Suppose 0 = -3*i - 0*i + 60. Let m be (2\/(-12))\/(5\/i). Are m and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2030 (c) 0.5 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9468?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -327665 less than -0.079?\nAnswer: 327664.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1152, 6, -1.\nAnswer: -1152, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 148 - 156 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/75*9\/18.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 45. Let h(i) = 6*i**3 - i**2 - 91. Determine -2*h(u) + 5*m(u).\nAnswer: -2*u**3 + 2*u**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306532?\nAnswer: 2, 326633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7037 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4189*g**3 + 4236*g**3 - 8423*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 4:47 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -8707*s**5\/2 - 52251*s**4\/4 + 104457*s**3\/4 + 243823*s**2\/2 + 104547*s + 54 = 0.\nAnswer: -2, -9\/17414, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v**3 - 3*v + 3*v)*(-16*v**2 - 16 + 30*v + 14 + 21*v**2).\nAnswer: 100*v**5 + 600*v**4 - 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 5*a + 106, -4*h + 194 = a. What is the common denominator of 1\/176 and (-81)\/24*4\/h*-1?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 - 39*i - 43. Give l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, -75, -378, -967, -1938, -3387, -5410?\n\"Answer: -16*w**3 + w**2 - 4*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-776.476\nAnswer: 3882.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*c + 469 = 0, 0*v - 3*c = -4*v - 977. Let i = v - -140. Calculate the remainder when 36 is divided by i\/(-8) - 4\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 35*c + 93 = 0. Suppose -c = -12*y + 39. Calculate the remainder when y is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754213.543 rounded to the nearest ten?\nAnswer: -754210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(95) - (sqrt(95)*-1 - sqrt(95))*1)\/(sqrt(5) - -1*sqrt(180) - sqrt(5) - (sqrt(405) + sqrt(405) + 3*sqrt(405))))**2.\nAnswer: 4864\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-8)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11199 - -23876. What are the prime factors of b?\nAnswer: 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -220, -510, -848, -1240, -1692, -2210, -2800?\n\"Answer: -w**3 - 18*w**2 - 229*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -32*s**2 - 3 + 3 + s + 33*s**2. Let x(a) = a**2. Let m(j) = -2*f(j) + 3*x(j). Find the second derivative of m(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d*t**3 - 5*d*t**2 - 6*d*t - d - 6*t**3 wrt t.\nAnswer: -54*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, 0.5, -2, 2 in increasing order.\nAnswer: -2, 0.5, 1, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence act when three letters picked without replacement from {c: 2, t: 1, e: 1, a: 3, l: 3, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 - 27*c - 23. Is l(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:29 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -70844340 at most as big as -70844341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -2*q - 27, 5*q = 2*s + 78. Let d = -10 - s. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -733, -711, -649, -529, -333?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*v - 17 = 0, 55*n - 52*n = -2*v + 25. What is the lowest common multiple of n and 321?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 times 2.5349?\nAnswer: 6841.6951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41988114, -83976227, -125964340?\nAnswer: -167952453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252612000 rounded to the nearest one million?\nAnswer: -1253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176056202, -176056204, -176056206, -176056208, -176056210?\nAnswer: -176056212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -146, -220, -294?\n\"Answer: -74*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70575 divided by 5?\nAnswer: -14115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1050\/(-25))\/(-6))\/(21\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 47 + 23 = -47*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0*d + 1\/4*d**4 - 5\/6*d**3 + 0 + 2*d**2 + 1\/60*d**5. What is k(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132357\/10 + -13248. Calculate the common denominator of i and 47\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-72))\/((-1225)\/882) - 0?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (-13 - -6 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58415607 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: How many minutes are there between 6:12 PM and 5:57 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-4 - 3) + (-8 - (2 + -12)) + 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6099c (base 16) to base 10\nAnswer: -395676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 259*x - 5290. Calculate the remainder when 1784 is divided by m(21).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n**2 - 4*n - 1. Let x(c) = -5*c**2 - c. Let z(t) = 6*l(t) - 17*x(t). Give z(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(44) + sqrt(44) + (1*sqrt(1100) - sqrt(1100) - sqrt(1100)))\/(sqrt(4) + 5*sqrt(4)*4)*6)**2.\nAnswer: 3564\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -3*d**7\/70 + d**4\/8 - d**2 + 6. Let g(l) be the second derivative of q(l). What is the second derivative of g(m) wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515681567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 3 = 0. Let s be (-2)\/(w - -1) + 1. Put 3, 1, s in decreasing order.\nAnswer: 3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/18*(-40 - 20532\/(-290))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69493.1 micrograms in nanograms?\nAnswer: 69493100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 794742.\nAnswer: -55\/397371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 31 - 37 + a**2 - 28.\nAnswer: a**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*p**4 - 377181*f**3*p**2 + 50*f**3 + f**2*p + 2*f**2 + 12*f*p wrt p.\nAnswer: -24*f**3*p**2 - 754362*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 10*t - 4. Let k be 3\/((-30)\/596) - t\/(-5). Let u be 425\/35 + k\/28 + 2. Calculate the highest common divisor of 16 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 178*z + 1093. Determine q(52).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.16, 0 in decreasing order.\nAnswer: 0.7, 0, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1159.\nAnswer: -347.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhhtahhh. Give prob of picking 2 k and 1 h.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/5134 and -81\/2.\nAnswer: 5134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623711337.\nAnswer: 3, 1373, 151423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (81\/(-36))\/(2\/104). Let t = -72 - v. Let s(z) = z**3 + 7*z**2 - 11*z - 8. Calculate the remainder when t is divided by s(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 6, 8\/2481, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0601 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 156 * -0.03\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034718985.\nAnswer: 5, 29, 2029, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -4488 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a day?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -54 + 84 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/3))**(-33)*a**(-5)*a**0*(a**1)**(-3)\/(a**(1\/4))**(-2\/71) assuming a is positive.\nAnswer: a**(-8945\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -30*20\/(-90).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2838490 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let y(u) = -6*u + 76. Calculate y(s(i)).\nAnswer: 12*i**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*-3*4\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 5*k**2 + 81*k + 181. What is t(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.2 (c) -2\/7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, t: 7}. Give prob of sequence ggtg.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 20*i**2 + 19*i - 35. Let j(t) = 2*t**2 + 10*t + 8. Let a be j(-6). What is the tens digit of p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 492, 13337, -2, -8, -4 in descending order.\nAnswer: 13337, 492, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463390 divided by 18?\nAnswer: 136855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c - 2. Let g(u) = 138*u + 11. Let o(r) = -6*g(r) - 33*z(r). Let n(h) = -365*h. Calculate n(o(v)).\nAnswer: 1095*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 2*y, 3*y + 15 = 5*m - 2*y. Let c(s) = 40*s - 6. Let a be c(m). Suppose 54 = -7*h + a. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 + 155*z - 4734. Let d be l(24). Is 7626 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**5\/5 - x**4\/2 + x**3 + 31. Factor d(n).\nAnswer: -n**2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396 a factor of 139059724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 157*d**2. Let b(o) = -30*o - 33*o + 109*o - 28*o - 25*o. Determine b(t(p)).\nAnswer: -1099*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w + 56. Let o be d(7). What is the nearest to o in 2\/11, 2, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127281674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(2 - 8196\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13070 and 641737.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by -8.\nAnswer: -133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30919110 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (998\/76 - 13)\/((-15)\/(-36)). Which is the second smallest value? (a) -53 (b) 0.4 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 80 (b) -0.03 (c) 2 (d) -0.08 (e) 0.05 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85841, -85849, -85869, -85907, -85969, -86061?\nAnswer: -86189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - t = -10, -2*d - 11*t + 7*t = 14. Put 268, -3, d in decreasing order.\nAnswer: 268, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 49*g - 10. Let m be w(-24). Let i = 113 + m. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 4*r - 6. Let x(m) = m**2 - 1. Let j = -19 + 9. Let t be (-4)\/j - 14\/10. Let b(c) = t*p(c) + 6*x(c). Factor b(a).\nAnswer: 2*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.83003ug to nanograms.\nAnswer: 70830.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3712)\/(-96))\/(-29)*186\/(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449970244 to the nearest integer?\nAnswer: 21213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feibeeeixxeiex. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(60)\/sqrt(3))**2 + (sqrt(100)\/sqrt(80))**2 + sqrt(20) + sqrt(20) + -4.\nAnswer: -12*sqrt(5) + 133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 1. Suppose -s = 4*u + 17, 3*u + 65 + 20 = -5*s. Let q(w) = -w**2 - 18*w - 18. Let d be q(s). Calculate t(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 27*i**2 - 16*i + 32. Let y be q(14). Solve 4*o - t = -3 + y, -4*t + 16 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155892 and 9504?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1585504 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 266 = 238. Calculate the highest common factor of 672 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -18. Suppose 0*c = -c - n, -5*z + 4*c + 56 = 0. Let p(d) = 7*d - 1. Let g be p(3). What is the highest common factor of g and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000001010 + -1?\nAnswer: -110001000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrbrrhrbb. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2\/3, -241, -20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 2*p + 136. What is the tens digit of k(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2917, -6149, -9379, -12601, -15809, -18997, -22159, -25289?\n\"Answer: u**3 - 5*u**2 - 3224*u + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 993140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6692535 divided by -446169?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 530160016 = h. Suppose -2*b + 22090002 = c, -2*b + 4*b - h = -3*c. What is c rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*g = 0. Let f be 273\/(-8) - (-1 + 2). Let u = f + 35. Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -459 - -1?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**3 - 3*z**3 + 0 + 0.\nAnswer: -53*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2000)\/1600)\/((-1)\/(-5))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 + 98. Let r(f) = 10*f**2 + 98. Determine 4*n(s) - 3*r(s).\nAnswer: -2*s**2 + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 11*v = 9, -n + 2*v + 22 = 0. Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -748498 bigger than -748495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.39656g in micrograms?\nAnswer: 39396560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*k**4 - 80*k**4 + 82*k + 5*k**3 + 44*k**4 + 35*k wrt k.\nAnswer: -36*k**2 + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2391 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 - 36*p**3 - 100*p**2 + 132*p = 0. What is p?\nAnswer: -3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4805514 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -386009 take away -1.6?\nAnswer: -386007.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019933 rounded to 5 decimal places?\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-1)\/(-70))\/(1\/(-21)*6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20882*d**3 + 49*d - 4*d + 61*d.\nAnswer: 20882*d**3 + 106*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.4 and -458?\nAnswer: -30411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2. Let u(g) = g**3 - 28*g**2 + g - 27. Let y be u(28). Let c be w(y). Calculate the remainder when (-99 - c\/(-3))\/((-5)\/5) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 0.2 (c) -0.044 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -11*x + 2629. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oomooovmmmovommmoo. What is prob of picking 2 m, 1 o, and 1 v?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5c507?\nAnswer: -5c507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302715262?\nAnswer: 2, 359, 421609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 518 - 270 - 271 + 4*l. What is m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/627*-11*4\/(-6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1974, -5, 4 in descending order.\nAnswer: 4, -5, -1974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -1\/2, -14, -2, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 6500 = 4*c + 86*c for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Suppose -4*i + 16 = 5*c, 0*i + 16 = 4*i + r*c. Find the second derivative of 3*a**4 - 4*a**4 - 5*a + 2*a**i wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 - 6956*w**4 + 20904*w**3.\nAnswer: -4*w**3*(w - 3)*(w + 1742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 769854985 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*y = -o + 8, 0 = -4*o + 3*y + 11. Let x(n) = n**2 + 5*n - 2. Let z be x(-5). Let j = o - z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11482 = -2*q, 0 = 4*q - 5*q - 2*a + 5743. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 20 = 70 + 176 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/12 + w**5\/12 + 5*w**2. What is the third derivative of b(z) wrt z?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -4879434?\nAnswer: -13\/2439717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c + 8. Let w(k) = 5*k + 3. Let q(b) = -4*i(b) + 11*w(b). Suppose 0 = a - 1 + 4. Let x(v) = 0*v**2 + 8*v - 12 + 4 + v**2. Give a*x(j) - 24*q(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 946 - 8504\/9. What is the smallest value in x, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -20. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816380?\nAnswer: 2, 5, 40819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2352*t + 1229. Let i(m) = 9415*m - 4915. Let f(x) = 2*i(x) + 9*n(x). Find the first derivative of f(q) wrt q.\nAnswer: -2338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72169246.\nAnswer: 2, 467, 77269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2860 and 24243648.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x. Solve 0 = -3*p + 4*c + 20, 10 = -2*c - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30314871 divided by -1161.\nAnswer: -26111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**39*z*z*z**(-5))\/(z\/(z*z*z**(-2\/87))*z)**(-21\/2))**(-5) assuming z is positive.\nAnswer: z**(-5255\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + w**2 + 0*w**2 + (-5*w + 0*w - w)*(-2 + 2 + w) - 2 + 1830*w**2 + 1719*w**2 - 5168*w**2 + 1729*w**2.\nAnswer: 105*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 + 0*x**2 + 4*x + 1\/75*x**6 - 1\/105*x**7 + 0*x**3 - 1\/30*x**4 + 1\/50*x**5. Determine h so that o(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1935, 1211, 3, -1689, -3865, -6525, -9669?\n\"Answer: -242*x**2 + 2*x + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035*w - 584 + 9063*w + 583.\nAnswer: 7028*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:32 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8*r. Let a be i(-9). Let u = 21 - 19. Let z(f) = -3*f**2 + 2. Let s(j) = 13*j**2 - 9. What is a*z(d) + u*s(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 + 11*u - 10. Let c be f(-9). Suppose 0 = -a + 2*a - c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 376*x - 906*x + 403*x as r + d*x and give d.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3180*p**2 + 356*p + 1. Let w(m) = -2*m. Give w(c(d)).\nAnswer: 6360*d**2 - 712*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/303 and -14\/101?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5785\/8 + -22983789\/31784. Let g = o + -135104\/43703. Calculate the common denominator of g and -119\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/4*1\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 68. Let r be g(33). Solve 0*m - 9*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 94. Let m = b - -117. Calculate the lowest common multiple of m and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d + 22, 7*s - 2*s + 2*d = 26. Let l be (12\/(-1))\/3 + 17 + -15. What is the closest to -4 in l, 0.3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00420207299 to 5 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338 by -2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 - 7*z**2 + 10*z**2 + 20*z**2 in the form k*z + d + y*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 570*p**2 + 572*p - 6. Give v(-286).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Which is the closest to -0.1? (a) 11 (b) 4 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.1 + 114.1. Let t = -93 + j. What is the smallest value in t, -5\/4, 9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278 - -575. Let x = o - 296.8. What is the smallest value in 3, x, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 1, c: 3, l: 3}. What is prob of picking 1 c and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181, -607, -1331, -2365, -3721, -5411?\n\"Answer: -2*h**3 - 137*h**2 - h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1)*m))**(-6\/11)\/(m**(-2)\/m**(-2\/3))*(m\/m**4*m**(2\/13))\/(((m**(3\/5)*m)\/m*m)\/(m**(-2\/19)*m)) assuming m is positive.\nAnswer: m**(-112628\/40755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 1\/4, 0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1300814.6 to the nearest 1000.\nAnswer: -1301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/145780 and 46\/72705.\nAnswer: 57291540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -38, 4 in descending order.\nAnswer: 4, 0, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m + 15 + 5 - 4 with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*j**2 - 20\/3*j + 44\/3 = 0 for j.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 2*i**2 - 43*i + 6. Give z(7).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107043 and 13708410?\nAnswer: 3453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.023.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 933 - 275. Is (-6)\/4*x\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4335667342.\nAnswer: 2, 19, 647, 176347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61214869*c - 1536740970 wrt c?\nAnswer: -61214869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 843 + -790 - (3 - -69)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 39 = 12. Let c = 26 - h. Let y be c\/(-5)*120\/(-144). Sort 1\/3, y, -1\/3 in decreasing order.\nAnswer: 1\/3, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q - c + 9 = 0, 5*q + c = 10. Calculate the least common multiple of 1 and q*(-4 - -2)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 38. Let o = -29 + z. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 26*d + 254. Let p(m) = -102. Let i(w) = -w - 51. Let l(h) = 5*i(h) - 2*p(h). Let j(u) = 11*l(u) + 2*r(u). What is the first derivative of j(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t**2 + 53*t + 62. Let h(m) = -4*m**2 + 14*m + 17. Calculate -22*h(a) + 6*o(a).\nAnswer: -8*a**2 + 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v + 6 + 0 - 3 - 2. Let x(y) = 27*y - 3. Let l(q) = 8*n(q) + 3*x(q). What is l(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8501740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2505257365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1fcb?\nAnswer: -1fcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2*s**5 + s**4\/2 + 24*s**3 - 59. What is the third derivative of q(a) wrt a?\nAnswer: -240*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2*k**2 + 2. Let t be y(-1). Let b be (t + 10)*8\/3. Solve z + 3*z = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140739, -281533, -422327?\nAnswer: -563121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672 - b**2 - 672 + b**3.\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 89*j**7\/210 + 11*j**5\/10 + j**2 - 115. What is the third derivative of l(h) wrt h?\nAnswer: 2136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/36409 - 5934607\/1092270. Find the common denominator of 29\/3 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132223022 (base 4) to base 16.\nAnswer: 9eaca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/15)\/((-8)\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/9 + 200*k\/3 = 0. Calculate k.\nAnswer: -300, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -118, -93, -48, 23, 126?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.90972 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*m - 212*m + 628*m - 203*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -116. Find the second derivative of -d*j**2 + 50*j - 4*j**4 - 7*j**4 - 8*j**4 - 124*j - 59*j wrt j.\nAnswer: -228*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-8)*n*n*n*n**(-4)*n**7*n**2)**(-25) assuming n is positive.\nAnswer: n**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*j**3 + 29*j**3 - 58*j**3 + (-j - 3*j + 2*j)*(4*j**2 - 2*j**2 - j**2) - 157*j + 157*j + 4*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 + -11?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 - w - 4. Let g be p(-2). Let x = 2 + -2. Suppose -g*l - 6 = 4*j - x, 2*l - 5*j - 30 = 0. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a = -55869 - 6385. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/35 - (-6)\/5. Suppose p - k = -0*p. Let z(q) = 14*q**2 - 2*q - 2. Let y be z(p). Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.057, -1\/7, -9\/4, -5, 2\/11, -59\/2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -993 + -1048. Let v = r + 2048.167. Let c = v - -0.033. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245154 + -30?\nAnswer: 245124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 94*g**2 - 21*g**2 + 1 + (-30*g + 5 - 4 + 0)*(-4*g + 3*g + 2*g) to the form b*g**2 + q + d*g and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o + 3. Let x(q) = q + 2. Let j(m) = n(m) - 2*x(m). Let y(p) = -p**3 - 5*p**2. Let f be y(-5). Let t be f + -4 + 1\/1. Give j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d**3 + 52*d**3 + 3*d**2 - 3*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose t*n - 73 = -3*q + 32, -n = -4*q + 130. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 153602845, 307205683, 460808517, 614411347, 768014173, 921616995, 1075219813?\n\"Answer: -2*b**2 + 153602844*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-1 - -2))\/(-1). Suppose 310 = -t*w + 5*w - 5*q, -w + 58 = -2*q. Suppose 4*s = w + 34. Solve 0 = -h - 4*h - s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = 2*l + 4*w, -5*l + 18 = -w. Let d(x) = x + 4. Let s be (-9 - -4)*(0 - -1). Let y be d(s). What is the smallest value in l, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -14. Let w = -76 + 113. Calculate the remainder when (w\/2 - v)*2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.3, 102, 0, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**3 - 170*p**2 + 204*p + 346. Let x(j) = 3*j**3 - 86*j**2 + 99*j + 174. Let b(l) = -2*r(l) + 5*x(l). Factor b(s).\nAnswer: (s - 89)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 2866*x\/9.\nAnswer: 2*x*(x - 1433)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0243 + 73.9757. Which is the third smallest value? (a) q (b) -0.4 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (606\/(-404))\/(((-17)\/(-6))\/((-1)\/3))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 2149277?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190 (base 12) to base 7.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 * 1.7.\nAnswer: -0.1513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29209 (base 12) in base 11?\nAnswer: 3a080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**3 + 2*r**2 - 3*r + 2. Let f(v) = 3*v**2 - 32*v + 78. Let j be f(7). Give x(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222000120 (base 3) in base 15?\nAnswer: 5949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 5. Let w be u\/(-2)*0*1. Suppose -2*v = -0 - 20. Solve w = 2*k - 0*k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + (-80 - (-8 + 1 + 1 + 3)))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 15?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-2 - 3\/(-4)). Let k(n) = 4*n + 2*n - l*n + 5. Let c(v) = -v - 4. Determine 3*c(m) + 2*k(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-11)*116\/348)\/(1*(-146)\/(-2))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g. Let a(r) = r**2 - 3*r - 2. Let x be a(4). Let o be (-1)\/(-8) - 285\/(-152). Let f(t) = 6*t + 9*t - 15*t + o*t**x. Give f(s(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 2*k - 9 - k)*(2*k**2 + 1 - 1) to the form h*k**2 + g + n*k**3 + z*k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -968 = -21*g - 587 + 942. Calculate the greatest common factor of g and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-200)\/(-3) + 74\/(-111). Suppose -67*g + 65*g + s + 30 = 0, 2*s = -5*g + r. Solve k = -5*c - g, -2*c - c - k - 8 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -1, 4, -3, -5 in ascending order.\nAnswer: -5, -4, -3, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/47, 0.99, -2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-22) + (1 - -48)*(-47 - (-35 + -13)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 18*t**2 + 5. Let n be s(-18). Suppose -n*v + 2*v + 95 = -l, -v = 3*l - 15. Let b = 224 - 218. What is the greatest common factor of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -40 - 45. Let i = 4 + o. Suppose i = 5*a - 136. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-1848)*23\/23?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -177. Is f greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/((-4)\/140*1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {f: 1, o: 8, h: 9, r: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 1 + 6*n**2 - 2*n**2. Let f(l) = l**3 + 5*l**2 + l + 1. Let c be f(-5). Let q(d) = 2*d**3 + 9*d**2 + 2*d - 7. Let v be q(c). Determine s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24597.12 tonnes in grams?\nAnswer: 24597120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 108*p**3 - 396*p**2 + 384*p.\nAnswer: -3*p*(p - 32)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x. Suppose b - 10 = 2*s + 2*s, -23 = -3*b + 5*s. Calculate the least common multiple of h(1) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5175 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*b - 32 = 0, 1514*b + 22 = -t + 1501*b for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5 and 88\/(-154)*29\/(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 38 = 1. Suppose n*h + 29 - 20 = 0. Let t = 10.67 - -0.33. What is the closest to t in 0.2, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 3*h + 0*h - 2*h.\nAnswer: h - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p + 257 + 63 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 18*w**3 - 65*w**3 + 16*w**3 - w**2 + 25*w**3.\nAnswer: 20*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -285*s**2 + 282*s - 3. What is u(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by 32241\nAnswer: 32\/2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-132)*2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -497? (a) 2 (b) 259 (c) -226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/11 - 170714904*v**3\/11 + 4857263074621536*v**2\/11 - 46067066638153353031808*v\/11.\nAnswer: 2*v*(v - 28452484)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 520027380 divided by 12?\nAnswer: 43335615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.7 and -0.13.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*s = -13, 6*v + s + 19 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.504377l in millilitres?\nAnswer: 3504.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 2*n**3 + 0*n**3 + (1 - 5 + 2)*(n + n**3 - n) + 3*n**3 + n**3 - 2*n**3 - 5*n**3 + 0*n**3 + 3*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 - -222.62.\nAnswer: 257.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(-4)\/28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*k + 14421 + 21574 = -6793 + 9842 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 2*w - 12. Let o(m) = 2*m**2 - 8. Let g be o(6). Let p = g + -41. What is the remainder when p is divided by a(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -3.6\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from jllhhhhhl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a millimeter in micrometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 26*i - 32 = -5*o, -7 = -o. Suppose -22 = -2*q - 4*t, -2*q + 28 = 3*q + t. What is the fourth biggest value in i, 0.2, 2\/13, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*g = -41517 + 49278 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -26*p**2 + 1146*p - 102. Calculate y(44).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*w + 53, 0 = -f - f - 5*w + 86. Suppose 2*m - 60 = -m. Let h = f - m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1814, -7197, -16188, -28805, -45066, -64989, -88592, -115893?\n\"Answer: -3*d**3 - 1786*d**2 - 4*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61025, 122001, 182967, 243917, 304845, 365745, 426611, 487437?\n\"Answer: -b**3 + b**2 + 60980*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31224848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57650141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**4 + l**3 + 5 - 5 - 2*l + 0*l**3 to the form p*l**3 + m*l**2 + t*l**4 + c + i*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/2547, 105023, -2, -0.5?\nAnswer: 105023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjvj when four letters picked without replacement from jjjvjjjvjjj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2192 = -5*n, 18*h - 21*h = -6. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 230.9642 grams?\nAnswer: 230964200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**3*v**5 - 59*o**3*v**4 - 14*o**3*v - 6*o**2*v**2 wrt v.\nAnswer: -120*o**3*v**2 - 1416*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Suppose -2*u - o*n = -6, -2*n = -u - 2 + 17. What are the prime factors of (1 + -3)*(5 - u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y - 106 = 60*y + x, 146 = 73*x for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 54*k + 11879. Determine g(-220).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 4*x - 53. Suppose -4*c + x = -406. Let j = c + -603. What is j rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9)\/((-60)\/(-27)*414\/345)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(10*n + 1727 - 1727) + n - 2*n - n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 28506147.8 to the nearest one hundred thousand.\nAnswer: 28500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 5, -240813 in increasing order.\nAnswer: -240813, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135, -1577, -5637, -13623, -26843, -46605?\n\"Answer: -218*w**3 - w**2 + 87*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 51*l**2 + 1 - 1 + 1 to the form z + x*l**2 + g*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2052916*v**4 - 9587*v**2 + 33 wrt v?\nAnswer: -49269984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -861252318*x - 601374436 wrt x.\nAnswer: -861252318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1269)\/63 + 13 + 7)\/(6\/7)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*l*r**3 + 2843*l*r**2 - 12*l*u**2 + 2765*r**3*u**2 - 1811*r*u**2 with respect to l.\nAnswer: 132*r**3 + 2843*r**2 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 24*d + 341. Let x be p(34). Let z(g) = 22656*g**2 - 14*g + 15. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92303252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -361567796 - 17?\nAnswer: -361567813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218107671 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*q - 7*b + 690, -4*b - 183 = -q. What is the greatest common factor of q and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-94)*363\/(-30). Let l = 4\/47 + h. What is the smallest value in 1, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33280 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -333?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 6*t - 8*t - 7091, -k - 7*t = -2356. List the prime factors of k.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 16*l - 1. Which is the closest to -1? (a) -4 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (1 - 0 - 0). Let j be (x\/12)\/(2\/66). Suppose -28*f = 23*f - 3366. Calculate the greatest common factor of j and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.9 less than 3?\nAnswer: 386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 31*j**2 - 3*j - 2. Let t be k(-2). Let i be t\/(-56)*1\/(-4). Determine s so that 2\/7 - 10\/7*s**4 + 4\/7*s**3 + i*s**5 - 8\/7*s + 8\/7*s**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 26*c - 8. What is the tens digit of z(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(500)*-6*1 - (4 + sqrt(500) + 2 + (sqrt(500)*4 - sqrt(500)))**2).\nAnswer: -40180 - 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z. Let b(j) = 7*j**3 - j**2 + 4*j - 3. Determine -b(l) - 4*o(l).\nAnswer: -3*l**3 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:08 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390.5 - 323. Let o = -71 + j. Let q = 3.50019 + o. What is q rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 13 = t, 2*i + 0 + 2 = 0. Suppose -4*q + 6 = -t. Suppose w - 7 = -x, -q*w + w = -4*x + 63. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(((-22)\/(-264))\/(14\/(-21))).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 80.7. Let f = 132.74 + -131. Let o = n - f. What is o rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60560029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - 113441?\nAnswer: -113562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 874523.4m?\nAnswer: 874523400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22914065 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 3*w + 3. Let i be m(-3). Let f be (-5)\/(-15) + (-61)\/i. Let p be f*((-5)\/(-2) - 3). Is 10 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 879 + -879. Let j(v) be the first derivative of 12 + 1\/3*v**3 + y*v**2 + 3*v. What is the derivative of j(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72364 - 12?\nAnswer: 72352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8\/(-11)) + 27\/99 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 273*o**2 + 5202*o - 10204. Calculate d(-291).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247137 and 3201.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0389043 to four decimal places.\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1344)\/(-256))\/(6\/9208) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 (base 9) in base 15?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-42)*-2*(-67)\/((-1675)\/(-3500)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.21559\nAnswer: 0.86236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166567.4mg to micrograms.\nAnswer: 166567400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x = -5*m + 75*x + 16, 8 = -3*m + 2*x. Suppose -4*z - 25 = -3*b, -2*b + 0*z - 3*z + 11 = 0. Let j be (b\/(378\/(-4)))\/2. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 - m**4\/24 - 25*m**2. Determine d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 3*v**3 + 7*v**2 - 3*v - 5.\nAnswer: -(v - 1)*(v + 1)**2*(2*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/10)\/(-9))\/((-130)\/325)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48720\/197 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, -8, -53, -116?\n\"Answer: -9*u**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/35016 and 179\/2512398?\nAnswer: 10049592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/27*3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 + 4*t - 6. Let z = -51 - -46. Let w be v(z). Let o be (-64)\/w*(-6)\/8. Sort o, -1, -4.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541094657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -15) + 0\/79.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 14. Let f be s(-12). Suppose l - f*l = -43. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 20*g + 36. What is the remainder when d(-15) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 62*m**3 - 80*m**2 + 3*m - 1. Calculate the remainder when z(2) is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 115*t**3 - t**2 + 1. Let c(k) = k**2 - 10*k + 8. Let f be c(9). Let w be i(f). Let y = -80 - w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 4, 14 in descending order.\nAnswer: 14, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 8*v + 9. Let x be j(6). Let g be (5\/x)\/((-2)\/6). Suppose s - 5*l + 18 = 3*s, g*s + 2*l - 66 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 306 and 1129.1.\nAnswer: 1435.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 5*t + 4. Let n(a) = -3*a**2 - 1. Let j be n(1). Let w be o(j). Let m = w - -9. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -m - 7, 5*n - 4 = -14. Let v(t) = -5*t - 5. Let f be v(m). Solve 4*i = -4*w + 8*i - f, 0 = 5*w + i - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21938160 divided by -5.\nAnswer: -4387632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 48*y. Let l(a) = -a**2 + 2*a. Let c(u) = 10*u**2 - 12*u. Let i(d) = -5*c(d) - 30*l(d). Give s(i(n)).\nAnswer: -960*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + 5. Let h = -2.06 - -0.06. Let t = 2 + h. What is the nearest to 0 in -5, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 2726064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2734.2 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(192)*-1)**2 + 0 - ((sqrt(192) - (0 + sqrt(192) - sqrt(192) - sqrt(192))) + 1 + (sqrt(192) + 1 - sqrt(192)) + 0)**2.\nAnswer: -584 - 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1920*b**5 - 2*b**4 - 2*b**2 - 823*b - 6.\nAnswer: -115200*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 11. Let g = s - -32. Put g, 0.2, 4, 2 in ascending order.\nAnswer: g, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:42 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, b: 2, t: 2, a: 1}. Give prob of picking 2 i, 1 a, and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -799 in ascending order.\nAnswer: -799, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 z when three letters picked without replacement from vzovnvo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192 (base 10) in base 14?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/6 - -2)\/((-16)\/(-72)). Is 4 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*j = -7, 2*r + 5 = 5*r + 4*j. Let x(n) = -n - 16. Let h be x(-19). What is the third derivative of -151*k**h + 8*k**2 + 8*k**4 + 151*k**r wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -2\/3, -1\/4, 2, -5278?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 - 1)*(4 - 1 - 1)*(2*q - 3*q + 3*q) as i + a*q and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2782654080 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*y + f - 47, -20 = -4*f. Let i(h) = -5*h**2 - 3*h - 10. Let s be i(y). Let q = 6706 - s. Round q to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 4878\/8. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 263*w**3\/3 + 3*w**2\/2 - 4*w - 36. Is b(2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*1 + ((sqrt(5) - (sqrt(5) + -2)) + 2 + sqrt(5))**2.\nAnswer: 21 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2525364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x = -60*x + 30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let i be 1\/4 - (-285)\/76. Solve -l - i = -h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i + 6 + 3 - 8)*(2*i - 3 + 3).\nAnswer: 32*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 813540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p - 1. Solve 2*r = -1 + p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/30 + 42\/5. Let y(w) = -w**2 - 3 - 14*w + b*w + 13*w. Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 394, 2, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Suppose -2*z - 13 = 3*q, 3*q + r*q + 8 = -z. Let g be -2 + (q + -5)*-1. Solve 6 = g*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 11) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-19)\/(b**(-11)\/b*b\/((b*b**19)\/b)) assuming b is positive.\nAnswer: b**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 + 195\/13)*-1*(-1)\/(-2). Solve -10*x = 14*x - b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -520, -0.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 2 - 1 + (-5 + 3 + 0)*(-2 + 0 + 0) + 1 - 3 + 3 + 5 - 1 - 6 - 3 + 3 - 3 + (5 + 0 - 3)*(2 - 1 - 3) + 2 + 1 - 2)*(-2*r + 0 + 0).\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 10*n**4\/3 + 46*n**3\/3 + 20*n**2 + 8*n\/3 - 16\/3 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*8\/(216\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(114)*-2 + sqrt(114) + sqrt(114)) + sqrt(114))*5)\/(sqrt(6)*2*-4 - -1*sqrt(6)*5).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p - 8 - 1. Let q be 1\/((-1 + 0)\/p). What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 - 28154?\nAnswer: -281d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.3 from -1163350.\nAnswer: -1163354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/((-3)\/(216\/(-20))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51911500*y**4 - 466540800*y**3 + 5961480*y**2 - 25376*y + 36.\nAnswer: -4*(y + 9)*(235*y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35665931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89473*d - 89508*d - 490 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 10 + o**3 + 9\/2*o**2 + 0*o. Solve z(d) = 0 for d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*d**5 + 33*d**5 - 57*d**5 + 15*d**2 + 68*d**2 wrt d.\nAnswer: 2220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*d = 6, 0*d = -2*m - 2*d - 2. Let a be (-5 - -4)\/((-1)\/(-4)). Sort 2, m, a.\nAnswer: a, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 - 13 - (-4 + 515\/40). Sort -1, f, 0.34, 0.5, -3\/4 in increasing order.\nAnswer: -1, -3\/4, f, 0.34, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -2*p**4 + 0 - 12*p**2 - 1\/5*p**5 - 22\/3*p**3 + 20*p. Factor b(z).\nAnswer: -4*(z + 1)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33318359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.095, 16, 5?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 45 = 4*r. Let f be 2\/r + 4532\/55. Suppose -31*u = -29*u - f. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)\/1 - (-15 + 18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/12 + 2*z**3 - 9*z**2 + z. Let c be b(10). Factor 76*q - 147*q - q**c + 72*q.\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.3 + 24. What is the biggest value in 4, 10, j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2393*i**3 + 3*i**2 + 2384*i**3 - 3*i**2 - 7170*i**3 + 2392*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.136 + 0.726. Let n = -0.01 - x. Let u = n - -0.5999984. Round u to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*a + 9, 5*p - 5*a - 24 = -34. Suppose -2*l - p*z - 2 = 2*l, -3 = -l + z. Solve 6*s = 5 + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 6*f - 5. Let y = -126 - -138. Let d(p) = 3*p - 3. Let v be d(-5). Let l = y + v. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.0946. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (125 - 43) - 9.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58589, 468440, 1580805, 3746942, 7318109?\n\"Answer: 58543*t**3 - t**2 + 53*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + -76. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -7024*n + 7020*n - 112, -3*d - 5*n = 2*d + 155 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282498 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 139. Let l be -1 - -6 - (-1)\/1. Let n = l + c. Sort n, -5, -4 in descending order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*z + 10, 0 = 4*i - z - 4*z - 12. Let t be 2 - 6*i\/3. Let u be ((-2)\/(-3))\/(t\/27). Solve 4*o = 3*k - 1 - 0, 2*k = -o - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17098586 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 1507, 3397, 6033, 9409, 13519, 18357?\nAnswer: 23917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127\/305 + -1\/61. What is the nearest to -12 in v, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 434*g + 3823. Give q(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363682 is divided by 2956?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.05, -4\/15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4\/(-10))\/(-1))\/(84\/(-70)). What is the closest to -1\/2 in o, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 20*m**3 - 17*m**2 + 6*m + 6. Let w(n) = -7*n**3 + 6*n**2 - 2*n - 2. Suppose -4*j - 16 = 0, 3*u + 15 = 5*j + 53. Calculate u*t(k) + 17*w(k).\nAnswer: k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68176809?\nAnswer: 3, 41, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*i + i - 627 = 0, 2*i = -2*h - 622. Let z = h - -603. What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/4)))\/(t**(2\/41)*t))\/(t**(-1\/8)\/t**7) assuming t is positive.\nAnswer: t**(1911\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b**5 - 9128*b**4 - 30094*b**3 + 24888*b**2 + 2254*b - 3016 = 0.\nAnswer: -377, -4, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k - 31. Calculate l(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*108\/117)\/3\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123577 and 562113.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 529*b. Let r(w) = -99398*w**2. Calculate r(a(m)).\nAnswer: -27815635718*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4*s*u + 2268*i**4*u + 2*i**4 - 3*i**2*s*u - 794*i**2*s - i*u + i wrt i.\nAnswer: -72*i*s*u + 54432*i*u + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o + 12. Let d(m) = 162*m + 114. Let k(p) = 5*d(p) - 48*r(p). Let v be k(-4). What are the prime factors of (-2)\/(-9) + 140\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 280 = -14*p. Let r = -68 - p. Suppose r*s = 53 - 53. Solve -4*c + s*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268 - 1096?\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18499707 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 6*v - 28 = -t, 4*t - 12 = -5*v for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3 = -5*l, -4*g - 4*l + 5*l + 7 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -159. Let n = -11 - -20. Let l = -13 + n. Put l, -0.4, f in ascending order.\nAnswer: l, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from nennxewxsn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 191243 divided by 1229\nAnswer: 191243\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1484)\/35)\/((-4)\/190). Suppose 0 = 5*y + t - 5035, -11*y + 9*y - 3*t = -n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1772263 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 2*s**2 - s**2 - 11*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 4*w + 8, 3*w - 5*s + 6 = 0. Is 46\/w*(-1 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-2))\/(((-8)\/(-12))\/(4\/(-3))*-26)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 15*o**2 - 2*o + 6. Let x be v(-11). Let z = x - 2429. Let d = 2813 + z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**7\/70 - 3*l**6\/50 - 33*l**5\/100 + 3*l**4\/20 + l**3 - 2866*l. Find r, given that g(r) = 0.\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*v**2 - 78*v**2 + 2*v**2 - 60*v**2 to the form x*v**2 + h*v + t and give x.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1862021, 1862017, 1862011, 1862003?\n\"Answer: -p**2 - p + 1862023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1005513 - 115341?\nAnswer: -1125254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8501 divided by 1\nAnswer: -8501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342208 and 44224?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678408197 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**1*b)))**(2\/9)*(((b*b**(3\/2))\/b)\/b)\/((b*b**1)\/b*b) assuming b is positive.\nAnswer: b**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c - 4*c)*(-3*c - 4*c + 5*c)*(-73 + 73 + 47*c) to the form z*c + g*c**3 + v + k*c**2 and give g.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -124*l + 1119. Let y be i(9). Solve m + y = -2*b, 0 = -5*m - 4*b - 5 - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981*w = -980*w - 670. Let p = 672 - w. Calculate the smallest common multiple of 170 and p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35713 divided by 9.\nAnswer: -35713\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -543 + 582. What is the remainder when 73 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 12. Suppose 0 = 5*r - 7 - w. Suppose -k = r, 2*k = -5*b - 3 + 19. Solve b*a - 4 = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - c**2 - 2)*(-3*c - 2*c + 3*c) - 2*c**3 + 1 - 1 + (-c - 3*c + 5*c)*(-c**2 - 6*c**2 + 4*c**2) to the form u*c**3 + o*c**2 + g + y*c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1617677, -3235356, -4853035, -6470714, -8088393?\n\"Answer: -1617679*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 3 + 5 + -2. Let d be u - (27\/21 - 0). What is the third smallest value in d, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7996, 8113, 8230, 8347, 8464?\n\"Answer: 117*w + 7879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*(-66)\/(-7392))\/(133\/294)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2539, 2663, 2841, 3067, 3335, 3639, 3973, 4331?\n\"Answer: -f**3 + 33*f**2 + 32*f + 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12ba552 (base 12) to base 2\nAnswer: 1110001110100110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m - 1. Suppose 0 = -0*f - 2*f - 4. Let t = 3 + f. Let h be q(t). What is the highest common divisor of h and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 - 685\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -1. Factor 11 - 27 + 16 + 3*p**2 + g*p**4 + 6*p**3.\nAnswer: 3*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 - 44*j\/3 + 24.\nAnswer: 4*(j - 9)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*m - 4 = -56, -2*m = t - 38. Solve -5*x - t + 40 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2 + 1\/2*a**2 + 1\/3*a**3 + 0*a. What is the second derivative of k(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0477 * 22\nAnswer: 1.0494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 5*a - 4*o, 5*a - 4*a + 4*o + 53 = 0. Which is bigger: -55 or a?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.192 - -1.322. Let r = n + 3.37. Round r to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 624?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 29 = 6*b - 171. Solve 0 = 2*j + 5*m - 4, 20*j - m - b = 15*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*i)*(-2 - 3 + 3)*(8 - 31 - 13).\nAnswer: 432*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.41 - -8.69. Let t = p - 10. What is the third biggest value in -3, t, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from pxoty.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -110 (b) -4\/5 (c) -6 (d) 5 (e) 1 (f) 375\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71488501.\nAnswer: 7, 353, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 + x**3\/2 - 2*x**2 - 2*x. Suppose -2*i + 5*b = 3*i - 20, 4*i + 2*b - 10 = 0. What are the prime factors of j(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4b2?\nAnswer: -4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-9)\/(-12)))\/(30\/(-27)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1022555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2443634*o**3 - 1580141*o wrt o?\nAnswer: 14661804*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d - 10*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*d + 3690, 10*d + x = 9*d + 925. Suppose 5*t - 3*b = d + 3368, -5*t + b = -4296. List the prime factors of t.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4583080.\nAnswer: -1\/916616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiipuviiuuiaupa. Give prob of sequence pua.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394717, -394716, -394715?\nAnswer: -394714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 861310224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*m**4*x + 7*m**4 + 8*m**3*x + 10*m**3 - 34*m**2*x + 21*m + 28*x wrt m.\nAnswer: -1200*m*x + 168*m + 48*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144933 + -101146. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2934*z - 44969 - 101778 = 2974*z + 36401 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p + 37. What is l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 121715185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 58*r - 10. Let u be f(8). Suppose 121 = k + 4*x, -4*k + x - u = -8*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cjc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315916869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(a**2 - a**2 + a**2 + (4*a - 2*a - a)*(2*a + 0 + 0) + 2*a**2 - 3*a**2 + 2*a**2) to the form p*a**2 + l*a + s and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14408944867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d + 109. Let x be y(6). Calculate the greatest common divisor of x and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 5, m: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26685160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((2*sqrt(2448) - sqrt(17))**2*3*-3 + 0) + -2.\nAnswer: -971246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(182\/4) - 12\/7. Let w = 5 + -5.21. Put 0.2, p, w in decreasing order.\nAnswer: 0.2, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(16\/120). Let v(i) = -i**2 + 7*i - 7. Let q be v(x). Suppose -7*j - 64 = -q*j. Which is smaller: j or -15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 850 - 305. Let s = 865 - u. Suppose -1106 = -3*b - 3*m - s, 5*b - 2*m = 1275. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 20*z**3 - 4078023*z**2 + 4078023*z**2.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 5, 4 in increasing order.\nAnswer: 4, 5, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**2. Let d(w) be the third derivative of -w**4\/12 - 6*w**2. Give u(d(c)).\nAnswer: 88*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*d + 4*y - 16, 0 = -2*d - 2*y + 14. Solve 0 = -3*q + 11 - 2, s = -4*q + d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401a170 (base 11) to base 6\nAnswer: -412253001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/69)\/b**(2\/13)*b**(-1\/45)\/b**(-24) assuming b is positive.\nAnswer: b**(320356\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**3 - 45*r**3 + 18*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 7186*z**2 + 6084416*z + 674727768.\nAnswer: 2*(z - 1846)**2*(z + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -184.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 5*k + 9. Let l be c(5). Suppose -2*s + 4*s - 90 = 3*t, 4*t + 120 = -4*s. Let o = l - t. Calculate the greatest common divisor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96479*f - 168 = 96471*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 17. Let z = 2.4 + -2. Let y = -23 + 21. Which is the nearest to q? (a) -0.5 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15 - 17 = 0. Let g(l) = l**2 - l - 4. Let b be (-3)\/(-4 + 2 + 1). Let d be g(b). Solve d*c + 0 = q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/585*11025\/35?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -403*a**8\/28 - 661*a**4\/12 + 2*a + 441. Find the third derivative of n(f) wrt f.\nAnswer: -96720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9409 and 1552.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (0 + 1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 - 1 + 2*n**5)*(-22 + 29 + 309).\nAnswer: 632*n**5 + 4424","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 58) + (-14 - -10 - (-7 - 2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -20. Put f, -5, 4 in increasing order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 17 + -11 + -4 + -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(-6)*90*226\/5085?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299754124.\nAnswer: 2, 23, 79, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 10*o + 5 + 5*o.\nAnswer: 20*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 32*y**2 - 8. Suppose 0 = 20*p + 133 - 13. Let g(w) = -11*w**2 + 3. What is p*n(j) - 17*g(j)?\nAnswer: -5*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13\/(j*(j**5*j)\/j*j))**(-48) assuming j is positive.\nAnswer: j**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -917, -17 in increasing order.\nAnswer: -917, -17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*s**3 - 1)*(-178831*s + 344727*s - 176962*s) to l + m*s**4 + c*s**3 + o*s**2 + u*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-3)\/(-4)). Let v(g) = -g**2 + 4*g + 7. Let x be v(5). Suppose 0 = -x*o - f*s - 0*s + 288, o - s - 148 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -116*l. Let g(c) = 3*c. Let s(x) = 145*g(x) + 4*h(x). Let n(a) = -25*a**2. Give s(n(f)).\nAnswer: 725*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62cd - 2dec?\nAnswer: -90b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 6*n - 3*n**2 - 8*n - 9*n to y*n + w + t*n**2 and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 518762.2ng in micrograms?\nAnswer: 518.7622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*m - 95, 5*s + 3*m - 57 = 3*s. Suppose 0 = d + 3*l - 10, -5*d = 2*l - 3*l + s. Let g(p) = -15*p + 37. Is 16 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 3*k - 5*k)*(199 + 177 - 42)*(0*k - k + 4*k) to r + c*k**2 + f*k and give c.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0835936m in micrometers?\nAnswer: 83593.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/43))**25 assuming c is positive.\nAnswer: c**(1025\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4866\/225)\/(3 - 9). Let j = -1\/225 - n. Let h = j + -3. Which is the nearest to 2\/3? (a) -1 (b) 3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8098.\nAnswer: 1\/8098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*b = -4, 1 = 5*w + 2*b - 2. Let x(f) be the third derivative of 0*f**3 + 2*f**2 - 1\/60*f**6 + 0*f + 1\/24*f**4 + 0 + 0*f**5. What is x(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 26*o - 27. Let p be b(9). Let n = 950 - p. List the prime factors of n.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/904522 or -1?\nAnswer: 9\/904522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15451, -123193, -415629, -985105, -1923967?\n\"Answer: -15391*r**3 - r**2 - 2*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212121)\/(-231))\/(-37) + 6\/(-33)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/2 + -4. Suppose -z + r - 27 = 0, 3*z - 24 + 129 = -3*r. Which is the closest to k? (a) 0.4 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 - n - 12. Calculate the remainder when 63 is divided by s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -264100461.202834?\nAnswer: 264100459.202834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572395 is divided by 256?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((4\/14)\/(408\/(-2203166))). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*m = -2*u + 49, 82*u = m + 89*u - 167 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -63?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = -26*m + 23*m + 72, -2*b - 6*m + 4*m = 92 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 17 (c) -0.3 (d) -4 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**7\/3360 - a**6\/320 - a**5\/16 + a**4\/4 + 52*a**2. Let i(o) be the second derivative of u(o). Factor i(k).\nAnswer: 3*(k - 5)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629697057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 670173 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07549 rounded to 3 dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**3 - 5*a**2 + 5*a - 5. Let r = 17 - 15. Let o(p) = -7*p**2 + 7*p - 5 - 5*p**3 - r - 2*p**3 - 6*p**3. Give -7*l(u) + 5*o(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189\/5 + -38. Let a be 0 - 5 - 85\/(-15). What is the closest to 2 in h, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**2 + 15 + 7637*u + 8*u**2 - 7625*u. Calculate i(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16083 - 16081 - (1 + 108)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54156 take away -8?\nAnswer: -54148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 take away 32.745?\nAnswer: -17.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -20*h**5 - 328*h**4 - 1536*h**3 - 1496*h**2 + 404*h + 672 = 0.\nAnswer: -8, -7, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l*n**2*v + 2*l*n**2 - 18*l*n*v - l*n + l*v wrt n.\nAnswer: 8*l*v + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (3 - (0 + 21)). Let t = 17 + o. Determine p so that 1 + 2 + p**2 - 2*p - t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3350 + 3350 - 577*l.\nAnswer: -577*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101000 (base 2) to base 16.\nAnswer: -4e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*s - 13 = 1 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 31?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2892, -2879, -2862, -2841, -2816, -2787?\nAnswer: -2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1567552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 26, 14, 2?\n\"Answer: -12*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, -8\/7, 0.8, 2, -2, 7, 3 in ascending order.\nAnswer: -2, -8\/7, 0.8, 2, 3, 7, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68 - 73 + 133)*(-2*r - 4*r + 5*r) + 1 + 0 + 9*r + 1 in the form f*r + i and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d**3 - 4*d**3 + 5*d**3)*(1 + 0 - 2) + d**3 - 4*d**2 + 0*d**3 + d**2)*(-3*d - 20*d**2 + 4*d + 21*d**2).\nAnswer: 3*d**5 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 10*x - 9. Let g = 34 + -26. Let k be u(g). Let r(v) = -6*v - 4*v - k*v + 18*v. Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = 3*b, -4*b = 3*m - 6 - 12. What is the second derivative of -b*k - 10*k**3 + k**4 + 10*k**3 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8705*c**5*d**2 - c**2*d**2 - 29737*c*d**2 - c - 2*d**2 wrt c.\nAnswer: -174100*c**3*d**2 - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9874, -19961, -30256, -40753, -51446, -62329, -73396, -84641?\nAnswer: -96058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3213 divided by -189\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 547583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181656 and 1044.\nAnswer: 181656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-2178)*77\/14\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - a + 82441 = 0, 65950 = 4*f - 2*a - 0*a. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l**2 - 6*l + 21. Let u(m) = 8*m**2 - 4*m + 14. Let p(o) = 5*g(o) - 8*u(o). Let h(q) = -q**2 - 1. Suppose 4*x - 7 = -3. Calculate x*p(f) - 6*h(f).\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {j: 6, v: 2, i: 2, z: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187.\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965*v - 5\/2*v**2 - 772245\/2 = 0.\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 + 314095491862.\nAnswer: 314095491862.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -12. Let p(u) = -u**2 - 6*u - 1. Let q be p(w). Suppose -q*k + 3*k = -670000. Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2*w**4 + 0*w + 4\/5*w**3 + 0*w**2 = 0. Calculate w.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11275674 is divided by 556.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 888\/5 >= 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*n + 484 = 0, v - 3*n = 2*v - 165. Suppose 0 = a + 3*a + 2*s - v, -a = -s - 45. What is the common denominator of a and 7\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 15. Let s = 22 + p. Suppose -s*n + 16 = 6. Solve n*h - h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 8, -22*v + 5*h - 36 = -18*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*a - 11*a**4 - 135*a)*(0*a + 6*a + a) - a + a**5 + a + (0*a**4 + a**5 + 0*a**4)*(-1 + 0 + 4).\nAnswer: -73*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1393955168 or 0.1?\nAnswer: 1393955168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Let p be -3 + (-52)\/(-20) + g. What is the second smallest value in -1, -4, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -921 and 0.2?\nAnswer: 921.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11294 - -22587\/2. Put -2, u, -5, -24\/25, -4 in descending order.\nAnswer: u, -24\/25, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 73*b**2 + 8*b + 134. What is the hundreds digit of x(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*l - 335 + 335 + (-4*l - 2 + 2)*(0 + 1 - 3).\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 52674*a + 231212523.\nAnswer: 3*(a + 8779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 5*p**2 - 5*p + 2. Let j(a) = a**2 + 9*a + 3. Let t be j(-8). Let r(u) = 4*u**3 - 6*u**2 - 6*u + 3. Calculate t*r(n) + 6*h(n).\nAnswer: -2*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361145048 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 43*p - 342. Calculate q(22).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.58, 1\/8, 39.644, -0.5.\nAnswer: -0.5, 1\/8, 0.58, 39.644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -428\nAnswer: 7\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 25*a**2 + 38*a - 91. Suppose -2*x = 5*m - 130, -4*m + 28*x = 30*x - 106. Is u(m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/3 - 34*y**3\/3 + 31*y**2\/3 + 22*y = 0. Calculate y.\nAnswer: -1, 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193752 and 2452996.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 2. Let a(o) = -2*o**2 + 3*o. Let u be a(1). Let y(t) = 82*t + 40. Let i(l) = u*y(l) - 8*q(l). What is the first derivative of i(m) wrt m?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21149\/537999 - -1\/10549. Which is smaller: m or 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 26*i**2 + 135*i + 1077. Give z(-28).\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 104, 107, 118, 143, 188, 259, 362?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w = 148 - 863 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8468 or -8472?\nAnswer: -8472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*3)**2*-1 + 3)*-5 + -2.\nAnswer: 6868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 123 - ((4 - 1) + (-31 + 4 - (116 + -143)))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56985399 and 6129?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -203?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13628879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4593, -9232, -13871, -18510, -23149?\nAnswer: -27788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/50)\/((-16)\/32)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by -2\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 94*s**2 + 352*s - 344.\nAnswer: 2*(s - 43)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/330*(-72)\/1392.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 11. Let j be 135\/10*44\/99. Let h(d) = d**2 + 13*d - 107. Let z be h(j). What is r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 39 = 2*p + 3*z, -2*p + 105 = 3*z. Let s = p - 44. Let y = 0.6 + 1.4. What is the nearest to 1\/3 in y, -4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(1331) + -1 + -4))**2 - ((sqrt(704) + -2 + 3 - sqrt(704)) + (2 + (sqrt(704) - (sqrt(704) - 1*sqrt(704))))**2).\nAnswer: -3002*sqrt(11) + 35903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 40 = -h + 11, -3*o = 2*h + 23 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 9*k - 8. Let n be q(11). Let c be (6\/(-30))\/(4\/n). Do c and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2069)\/(-2069))\/(2\/17)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, l: 5}. What is prob of picking 2 f?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -285*h**3 + 5*h**2 - 6*h + 4. Calculate o(1).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/30*465\/310*-20*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182962, -183136, -183310?\nAnswer: -183484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/80 - 3*y**5\/4 - 97*y**4\/16 - 33*y**3\/2 + 1019*y**2. Factor j(t).\nAnswer: 3*(t - 33)*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/240 + f**5\/60 - f**4\/48 - f**3\/6 - 6*f**2. Find i such that v(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164*h**3 + 2*h**2 - h - 1319 wrt h?\nAnswer: -492*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2*u**2 - 7 + 4 - 19 + 10*u. Let c be a(-12). Solve -2 - 4 = -c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 5557860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 2*o**2 - 3*o**2 - 2*o**2 - 2*o**2 + 7*o**2 + (0*o - o + 0*o)*(-5*o + 5*o - o))*(-4*o + 2*o + 5*o)*(-4*o - 3*o + 5*o).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.134188 kilograms to milligrams.\nAnswer: 3134188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1431.8 - 1432.3. What is the closest to 0 in 0.1, -1\/8, y, -144?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 67.96. Let s = -499\/6003 - 1\/261. What is the nearest to -1 in f, -3\/4, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-870)\/(-1450)*8\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 110*b + 90*b + 0 + 172*b to i + f*b and give f.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 9 = -465. Let c = -52 - i. Solve -27 + 2 = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 2*g - 9. Let d be p(-6). Let q = -1 + -1. Let z be q + 1 + d - 0. Solve 4*i - z*b = 14, 16 = -4*b - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p - p)*(4 + 0 - 5)*(0 - 39 - 7)*(3*p**2 + 3*p**2 - 3*p**2).\nAnswer: 138*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632 is divided by 2583?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqggqqpg. What is prob of picking 3 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -41, -44, -47?\n\"Answer: -3*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 449291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003151519 to seven decimal places.\nAnswer: -0.0003152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 4*k - 1. Let j be r(-1). Suppose 8*b + j*b + 40 = 0. Put -8, -2, b in decreasing order.\nAnswer: -2, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*(21 - (46 - 10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g\/g**(-2\/9)*g)\/((((g*(g\/(((g**(-2\/9)*g)\/g)\/g))\/g*g)\/g)\/g)\/g*g*g**(-2\/5)) assuming g is positive.\nAnswer: g**(71\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. What is the remainder when 17*(-2 + 2 + f) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -79) + -79 + 104.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -29*b**2 + 36*b - 26. Let g(c) = 60*c**2 - 75*c + 56. Let q(l) = -12*g(l) - 25*x(l). Let d(t) = 0 + t**2 + 0. Give q(d(i)).\nAnswer: 5*i**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -5.8. Let y = -4.07 + 5.27. Let a = y + t. Put -1, a, 0 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + -3*sqrt(720) + 3 + 6*(sqrt(720) + 1 + sqrt(720)) + -5 + -2)**2.\nAnswer: 720*sqrt(5) + 72009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1024 divided by -268\nAnswer: -256\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279326 (base 10) in base 2?\nAnswer: -100111000010101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 21. Suppose -4*s - 1 = -2*k + u, 2 = -2*s. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002021212 (base 3) to base 4\nAnswer: 11031221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -460?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10*j = -13*j + 63336, 0 = y - 5*j - 21130. List the prime factors of y.\nAnswer: 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3 - 4 + 3*p - 8 - 5. Let g(m) = 0*m - m + 2*m - 5. Determine 11*g(z) - 4*t(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 428951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*x + 40*i - 41*i, 3*x = 4*i + 104. Suppose -14 = -4*u - 2. Suppose u*p = -p + 20. Solve 0 = -5*d - x, -v + p*v - 4 = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2))\/a)**(-2\/53)\/(a*a**(-2\/7)*a**(1\/13)\/a) assuming a is positive.\nAnswer: a**(1098\/4823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 5*m**2 - 1\/12*m**4 + 0*m + 0 - 5\/6*m**3. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 - 37 - (-6 - -4 - 11)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156009991 is divided by 416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7167270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 - 21 + 21.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times 0.0602\nAnswer: 0.015652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let p = -2\/1393 - 1192\/1393. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 13. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -187311, -187318, -187325, -187332, -187339?\n\"Answer: -7*n - 187304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:45 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24577 + -9943. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133.5 - -134. What is the second smallest value in k, 0.1, -11, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = 7*x + 46*a + 109, 4*x - 2*a = -38 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1053272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - k + 12, -67*k = -13*u - 68*k - 6. What is the closest to 0 in 4, u, 1\/192, -0.5?\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 71*a + 25 = 0. What is h in -12*h - 170*h**2 + a*h**3 + 77*h + 59*h + 41*h = 0?\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 + 209. Let b(h) = -4*h - 1. Let l be b(-5). Solve 0 = -3*u - 4*w + l, -3*u - 5*w + 20 = -t*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 317601 = -15*x - 7*x. List the prime factors of x.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101722381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/68356610 and 95\/154?\nAnswer: 751922710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16545 = -5*u - 2455. What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-24 - 952\/(-42))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*t - 158, -5*h + 3*t + 169 - 31 = 0. Suppose 3*y - 12 - h = 0. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.7 - 19.7. Let v be ((-3)\/(3\/(-2)))\/(-2). What is the closest to v in 4, l, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1062, -3, 4, 8, 1 in descending order.\nAnswer: 8, 6, 4, 1, -3, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 11, 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((-12)\/(-216))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 152. Suppose -2*k = 113 + x. Let c = -105 - k. Solve 5*v - 4*v + 5 = c*b, -3*v = -2*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 46 (b) 0.3 (c) 1 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 3 + 0)*(-3 + 4). What is the common denominator of 435\/168 + a\/10 and -83\/44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -936 - 540. Suppose -3*w + 1042 = 193. Let b = m + w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 = -4. Suppose j + x = 2*j. Let o = -10\/21 + 19\/21. Which is greater: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -0.2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = -2*m - 17*y - 7, 0 = -2*y + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/8262950 and 47\/24.\nAnswer: 99155400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -915*v**2 + 616*v?\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d + 107*d - 21*d - 30*d - 28*d + 5. Let g be (-1)\/4 + 42\/8. Let r be u(g). Solve -2*n + c - 1 = r, -3*c = -0*c - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:57 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1434?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629587.2 minutes to hours.\nAnswer: 10493.12","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242 or 240?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 0)*(-10 + 9). Suppose 0 = 5*s - 25, -5*r - 70 = -k*r + 4*s. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - 2*f + 5. Let b be s(8). Let c = b - -23. Let u(x) = x**3 - 12*x**2 + x - 10. What is the smallest common multiple of u(c) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -12\/7*o - 1\/14*o**4 + 5\/7*o**2 + 4\/21*o**3 - 174. Factor a(h).\nAnswer: -2*(h - 3)*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-x + x + 2*x) + 8*x - 11 + 11 + 3 - 3 - x - x - 2*x + 2*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6645*x - 4 = 6641*x - 5*c, 0 = -4*x + 2*c - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 9}. Give prob of picking 2 m and 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8721522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55918248 is divided by 5322.\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -3*y - 13*b + 14*b - 5, 34 = -3*y - 4*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1251*w**3 + w**2 - 7*w + 14. List the prime factors of y(2).\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692435471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1628.\nAnswer: 488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -541179*w**2 + 1606336*w.\nAnswer: -1082358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-2)\/(-39))\/(-1))\/(18\/(-54)). What is the closest to 0.1 in 0.3, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/9*(1\/2 + -2). Let u(d) = d - 10. What is u(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*x**2 + 0*x**2 + 26*x**2)*(5*x - 3*x + 0*x) + 5*x**3 - 4*x**3 - 2*x**3 + (-5*x**2 + x**2 + 2*x**2)*(-2 + 2 + x) - 4*x**3 + 7*x**3 - 4*x**3.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/6 - y**4 - 19*y. What is the third derivative of i(p) wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 409621?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/3))**(-2\/73)\/(l**1)**(-24\/11))**(-34\/3) assuming l is positive.\nAnswer: l**(-175712\/7227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.876 - -7.05. Let u = 0.026 + b. What is the nearest to -2\/7 in 0.08, 5\/3, u?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/353 (b) 0.2 (c) -1.8 (d) -0.4 (e) 2 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84.1928 - 82.39. Let u = -0.21 + -1.59. Let w = f + u. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989242557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2563 by -233.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 45*k. What are the prime factors of y(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-90) - 9\/(-5)) + 23. Let w = d + 30. What is the greatest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {e: 1, r: 5, d: 1, l: 7, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 46 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435\/(-20))\/(12\/(-1120)*10*14\/(-4))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0, -4 in decreasing order.\nAnswer: 33, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2608 + 2606. Which is the nearest to n? (a) 5 (b) -5 (c) -7\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 12:30 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2*f - 4, 2*s + 4*f + 17 = -f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768015858 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 12)\/((-6)\/(-18)). Let x(p) = p**2 - 2*p. Let z(u) = u**2 - 3*u. What is v*x(y) - 2*z(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 4, q: 1, v: 3, f: 5}. What is prob of sequence vqf?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 11*z**2 + 3*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73545 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:37 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h**2 + 1 - 4*h**3 - 42*h**2 + 8*h**2 - 2*h - 6*h**3 in the form q*h + f*h**3 + r*h**2 + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -645.2785.\nAnswer: -616.2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1518.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -4, 7, 0.2, 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14294*z + 3566*z + 3575*z + 3568*z + 3583*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*a - 378 + 378 + (-1 + 1 - 2*a)*(-3 + 2 + 0))*(-2 - 2 + 6).\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200120202 (base 3) to base 8.\nAnswer: -264167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -23*f**2 + f - 150. Let r be o(-23). What is the tens digit of 4\/((-144)\/r) + (-2)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10705 is divided by 2671?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 10031013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 2 f when four letters picked without replacement from fyhhhhaoahhafthaooyh.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let g(r) = r**3 - 5*r**2 - r + 5. Let d be g(6). Suppose 5*t + y + 0 - d = h, -7 = -t + 3*y. Solve -3 = -3*w - 4*x, w - 2*x + t*x = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -919343997 by 11.\nAnswer: -83576727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**4 + 5*k**4 - 2*k**4)*(1 - 1 + 2) - 11262*k**2 - k**4 + 14*k + 11262*k**2 in the form x*k**4 + t*k**3 + g*k + h*k**2 + p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 129*n = -134*n - 20, -5*n = 4*l - 15. Solve -2*b - l = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -2506, -5108, -8592, -12946, -18158?\nAnswer: -24216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 88*i**2 + 2*i - 99. Calculate n(44).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-84)*12\/(-24)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92630066 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3936, -6, -2, 2 in descending order.\nAnswer: 2, -2, -6, -3936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 5)*(-2 - -18). Solve -c*a + 92 = 76 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 8*q**2 + 0*q + 6*q**2 - 2*q to c + v*q**2 + d*q and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 11 + i**3 - 7*i**3 - 6*i + 2*i - 6*i**2. Let l be x(-6). Suppose -5*n - l + 128 = 0. Solve z + 2*z - 6 = -3*f, z = 4*f - n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27810.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -12113 less than -219\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 5 + 0)*(-1 - 2 + 2) - 4 + 10 - 4 + (-1 + 4 - 1)*(5 - 6 - 1) - 1 + 1 + 32)*(-25 + 12 + 9 + 2*g) to s + c*g and give s.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = -3*t, -3*c + 2*t = 6 - 4. Let g be (-4 - -14)\/c + -5. Let b = 15 - 11. Put -5, b, g in increasing order.\nAnswer: -5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 57*w**3 - 4 + 1492*w - 1491*w + 2 + 3*w**2 as b*w**2 + t + q*w + s*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/6 + 26*c**4\/3 + 817*c**3\/6 + 851*c**2 + 2034*c + 1620 = 0. What is c?\nAnswer: -30, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15671 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*l + 63 = -j - 141*l, j + 3*l = -37. Find w, given that -3\/4*w**3 - 45\/4*w**j + 0*w + 0 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 161 + 107 = y, -3*b + 14 = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/743?\nAnswer: -1\/743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672100 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/18 + 23\/(-46). Which is the second biggest value? (a) -6\/13 (b) -2\/7 (c) h (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 9*d**2 + 3. Let q be u(9). Let w = -5 - -1. Sort w, -1, q in descending order.\nAnswer: q, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v - 2*v**2 + 4*v**2 - 17*v)*(-78*v**2 - 61 + 61).\nAnswer: -156*v**4 - 390*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4496)\/(-1548) - 281\/(-2529)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p*p)\/p*p*p*p**(-8)\/p)\/(p\/(p**(-6)*p)*p**(-5)\/p) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012533 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 - 708\/(-21). Suppose -91*m = -86*m - 3*b + 18, 11 = -3*m + 2*b. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/43, 18 in decreasing order.\nAnswer: 18, -1\/43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -114. What is the fourth biggest value in -3\/5, -1, -1\/20, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81023054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032727 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 72*g**2 - 80*g - 3 + 162*g**2 + 11 - 162*g**3 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2389.830043 minus 1.82?\nAnswer: -2391.650043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4658891 millimeters?\nAnswer: 0.04658891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 77632.\nAnswer: 77636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 3*k = 0. Let m = 37 - 32. Suppose n - m*j - 10 = 0, -4*j - 3 = 5*n + 5. Which is the closest to n? (a) k (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 735000*j. Let y be s(-2). Round y to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**5 - 460*v**4 + 465*v**3 = 0.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*r + 30 = 0, -5*t + 126*r = 127*r - 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/11)*z*z**(-1\/5))\/(z**(-9)*z*z*z\/z**9))**(2\/111) assuming z is positive.\nAnswer: z**(1888\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 655, 650, 645, 640, 635?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than 7490999650238?\nAnswer: 7490999650237.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/5)\/(m\/m**29*m))\/((m*m*m*m*m**(-2\/9)*m)\/m)**(-1\/26) assuming m is positive.\nAnswer: m**(16348\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 4*q - 4, 3*b = -q + 3. Calculate the least common multiple of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/25, -260, 1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 17*w + 3. Let u be p(-7). What is the second biggest value in -0.2, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 1, m: 7, i: 5, h: 1}. What is prob of sequence bmhm?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.22 and 0.043244.\nAnswer: 0.22573368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5525, 5529, 5535, 5543, 5553?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = d - 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 901.\nAnswer: -1, 5, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 3) + -77 + (-15921)\/(-183)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 69*p**2 + 12*p - 6. Let t be z(8). Let j = t + -3156. Suppose 0 = -10*r + 15*r + j. Round r to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 + -333. Suppose 2*f = 5*f - 9. Suppose 4 + 5 = -f*m. Sort m, 2, l in descending order.\nAnswer: l, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 12. What is the lowest common multiple of s(0) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13032320 by -320.\nAnswer: 40726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29139, -29733, -30715, -32079, -33819, -35929, -38403, -41235?\n\"Answer: o**3 - 200*o**2 - o - 28939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2*q + 1138725*f*q + 13*f - 184201565*q - 2 wrt f?\nAnswer: -14*f*q + 1138725*q + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103, -122, -139, -154, -167, -178?\n\"Answer: q**2 - 22*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.41 - 49.63. What is v rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5264384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 2*c**6\/15 + c**5\/60 - 5*c**4\/12 + 2*c**2. Let j(z) = 11*z**3 + z**2 - 7*z. Let p(a) = -7*j(a) + 5*l(a). What is p(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 162 = t, 0 = -3*t - f + 498. Let j = -110 + t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 140 = 3*m, 5*q = -4*m - 14 + 119. Solve -5*b - 4*y - q = 0, b = y + y - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Let l be (-8)\/(-5) - 4\/(-10). Let h(r) = -r**3 + 4*r**2 + 7*r - 8. Let x be h(5). Solve l*f + g - x = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22992 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 10*g - 9. Let z be r(-12). Let s be (576\/z)\/(3\/(930\/(-4))). Let n = -7376 - s. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 divided by -816?\nAnswer: 253\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (106 + -48853)*(-2)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2404 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25821.\nAnswer: 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*k**4 - 3*k**4 - 403*k**4)*(-3 + 3 + 3) - 13*k**3 + 4*k**4 + 13*k**3 to d*k**4 + f*k**2 + x + c*k**3 + y*k and give d.\nAnswer: -1505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 944.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 6*b + 9. Let h(n) = 2*n**2 + n - 10. Let z(y) = -4*h(y) - 3*v(y). Determine z(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 6*i**2 + 7*i + 1. Suppose 5*m + 3*c - 32 = 8, 0 = m + 2*c - 15. Let x be h(m). Suppose -x + 43 = 4*n. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4 + 78*a**3\/7 + 354*a**2 - 3850*a + 10584 = 0. Calculate a.\nAnswer: -108\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101112 (base 3) to base 10\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 654 and -3.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 30 = 5*c. Let x be (2\/6)\/(-5 - (-155)\/30). What is the remainder when c is divided by 2 + (32\/4)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720) + -2*(-2*sqrt(720) + sqrt(720))) - (sqrt(720) - (1 + sqrt(720) + 0) - sqrt(720))**2*-6.\nAnswer: 180*sqrt(5) + 4326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -336, -510?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.609 + 0.291. Let r = -34.2 + o. Sort r, 0.5, 3\/11, 3\/7 in increasing order.\nAnswer: r, 3\/11, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:15 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15860 + 869. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -640.7 + 644.7. Let i = -429\/172 - 1\/172. Let w = -3 - i. Which is the nearest to w? (a) g (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-6) + 292\/6 is divided by (-1020)\/40*4\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.2 and -2.1.\nAnswer: 31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11194 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 = -2*o - a, -2*o + 2 = -4*a. Let b(d) = -3 + 6 - o + 22*d. Calculate b(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 + 52)\/(2\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2821 - -4479. What are the prime factors of m?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-15))\/(2\/(-30)). Let w be (3\/(-2*z))\/(-1). Let r = -82 + 83. What is the closest to r in -1\/2, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -261.4 + 261.3. Which is smaller: p or 1544?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91151.45mg in nanograms?\nAnswer: 91151450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230449 by 1.\nAnswer: -230449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 868.5024m?\nAnswer: 868502.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 2. Let u(d) = d + 1. Let m = -915 - -912. Give m*u(r) - z(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/11 + 5*r**2\/11 - 7*r\/11 + 3\/11 = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -840218564.\nAnswer: -840218580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.45606 rounded to 0 dps?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.02. Let x = 5.02 - o. Which is the third smallest value? (a) 2 (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329.837448 minus 1.1?\nAnswer: 1328.737448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/((-9)\/(-60))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 240 = -9*g - 11*g, -3*g + 24 = -g + 2*u for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 0, 30*s - 25*s + 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*m - 1555, 3*m = 2*n - m - 1058. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 3) + 107 - -2. Suppose 6*k + b = -136. Let i = 39 + k. Is i at most -13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (0 - (2 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103, 195, 265, 301, 291?\n\"Answer: -2*l**3 + l**2 + 103*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*s = -s + 63, -2*l - 4*s + 126 = 0. What is the remainder when l is divided by ((-660)\/60)\/((-6)\/4 - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14. Suppose -4 = l*h + a, 5*h - 2*a + 10 = -3*a. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ukukuuuuuukuuuuuuuuu?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15565247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/195 - 381*x**5\/65 - 24066*x**4\/13 + 291848*x**3\/39 + 2*x - 971. Suppose r(k) = 0. What is k?\nAnswer: -382, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947858901 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -85.6. Let g = 17.4 + f. Let y = -5.8 + 6. Which is the fourth biggest value? (a) 0.3 (b) y (c) 0 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -396\/7 + 16250\/287. Let i(l) be the first derivative of l**2 - 10*l - 19. Let m be i(5). Is d greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15250197 and -9814.99.\nAnswer: -9814.83749803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/(-156) + 1 + 0. Let l = m + -2\/39. Let p = -0.47 + 0.07. What is the nearest to -0.1 in p, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7931 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*(-98)\/(-4)*(-6672)\/(-3892).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.2421 nanoseconds in minutes?\nAnswer: 0.000000013654035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51\/2 + 613\/24. Let z(p) be the third derivative of -13*p**2 + 0 + 4\/3*p**3 - g*p**4 + 0*p. Determine z(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -147*h + 4724. Calculate f(32).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*w**2 + 30663 + 5803*w**2 - 30662 as s*w**2 + n*w + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260\/(-24)*(4 - (-208)\/(-40))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 + 228. Is k at most 1\/10612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 247 - 79 = -271*p - 527 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 2*n + 3. Let w be x(-3). Let z = -177 - -186. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 51*r - 8546. Give q(168).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202001444 (base 5) to base 15.\nAnswer: 110c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05301 * -0.3\nAnswer: -0.015903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -5 - (-51 + 43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((2 - 8) + 7). Sort 16, -5, 3, h in decreasing order.\nAnswer: 16, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*y - 5*y. Suppose 5*c = -15 - y. Are c and -5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 + 42*u**2 + 16*u - 4. Let s(n) = -7*n**3 + 81*n**2 + 36*n - 9. Determine -9*i(g) + 4*s(g).\nAnswer: -g**3 - 54*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) 1 (b) -2 (c) -1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/24*(21\/6 + -2). Suppose -6*p + o*p + 2636 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 65*g. Let n(h) be the first derivative of 0*h + 1\/2*h**2 + 22. What is w(n(y))?\nAnswer: 65*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12*2071 - 10\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmbn when four letters picked without replacement from bmbmymybynnyyybynnyy?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 7\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3 and (-767)\/78 + (-1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119668161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:08 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 6*y + 4 + 4*y - 1. Suppose k + 3*k = 0. Calculate the lowest common multiple of 7 and a(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/106704 and -127\/38875824.\nAnswer: 116627472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -503 + 391. Solve -6*t + 38 = b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01036 rounded to four decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049923 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20636a + 2?\nAnswer: 206370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7219 minus 6?\nAnswer: -7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 55*a + 130.\nAnswer: -5*(a - 13)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let w be (-420000)\/(r + 4 + -3). What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 1. Let w(u) = -3 + 11*u + 3 + 7*u - 17*u. Give w(l(q)).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-2 + (6 - (-9 - -4)) + 21)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**6\/60 + 11*k**5\/8 + 363*k**4\/8 + 9317*k**3\/12 + 14641*k**2\/2 + 8111*k. Find r such that d(r) = 0.\nAnswer: -22, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63\/8 of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((846\/2444)\/(6\/2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 14 + 7)*(4 - 4 + 2*c)*(-c - 2*c - c + (2 - 2 + 1)*(0*c + c + 0*c) + 2*c - 3*c + 3*c) to j*c + g*c**2 + l and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -2\/13, 4, -639599 in ascending order.\nAnswer: -639599, -2, -0.5, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*96\/15 - 8\/(-20). Let s = f - -109. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2232083 by 131299.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(24)\/sqrt(3)))\/sqrt(6))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**3 - 11*u - 2*u + 4*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 32*b**2 - 17*b + 36. Let i be w(15). Let m(f) = -117*f**2 + i*f**2 - 119*f**2. Let n(p) = 3*p**2. Give n(m(g)).\nAnswer: 75*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 4\/5, -3, -12, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (-17 - (-28 - -38))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 5356*q\/3 - 5359.\nAnswer: (q - 3)*(q + 5359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6553*a**4 + 4451*a**2 + 586509086 wrt a.\nAnswer: -26212*a**3 + 8902*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6871.718l to millilitres.\nAnswer: 6871718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 745\/7 + -107. Let f = -2340 - -2340. What is the smallest value in 0.03, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 44 = -4*c + 3*l, -4*c - 72 = 4*l. List the prime factors of (-5491)\/(-133) - (-4)\/c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1604.90697936 + 6.\nAnswer: -1598.90697936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.5, 3, -3, 1\/3, -3\/7 in descending order.\nAnswer: 5.5, 3, 1\/3, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 3*j + 3*j)*(4*j - 5*j - j) + 7*j**3 - 83*j + 83*j - 4*j + j**3 + 4 - 399951*j**2 + 399956*j**2 + 5*j.\nAnswer: 12*j**3 + 5*j**2 + j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(66)*2)\/sqrt(6)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1196.\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let x = 0.4 + -0.4. Which is the nearest to 1? (a) g (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 10. Let s be y(-10). Suppose 2*n = 57*p - 58*p + 16, 3*p - 24 = 2*n. What is the highest common divisor of p and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/5 (b) 2\/3 (c) 8 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(-28*k**2 + 6*k**2 - 5*k**2 - 2*k)*(5*k + k**2 - 5*k).\nAnswer: -27*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15336 by -1704.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 1. Let z(g) = 2*g**2 + 15*g + 5. Let m(l) = 5*s(l) + z(l). Find the second derivative of m(q) wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11161, 7695 in increasing order.\nAnswer: 5, 7695, 11161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/4, 1\/2, 949?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-24)\/70*-15*(-70)\/(-3) and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/6 - m - 3. Let k(o) be the first derivative of -33*o**2\/2 - 2*o + 1222. Give k(a(n)).\nAnswer: -66*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/18996206 and -31\/62227.\nAnswer: 208958266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - -36?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72584618?\nAnswer: 2, 36292309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*i - 19, i - p = 48 - 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5\/2 - 2289*g**4\/2 + 9261*g**3\/2 + 43761*g**2\/2 + 16107*g = 0.\nAnswer: -767, -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1627771754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/19*f**4 - 2\/19*f**2 + 0*f + 0 + 2\/19*f**5 - 2\/19*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -4. Suppose 4*n - 16 = 0, 2*j + 4*n - 4 = 6*n. What is the smallest value in 0, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 15*m**2 - 259*m + 269. What is g(25)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - 1*sqrt(99)*-6))\/sqrt(3)*5)\/((4*sqrt(44) + sqrt(1100)*1)*-1)*3.\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/3, -0.096, 818?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 6. Let a be 2\/((3\/1)\/(-12)). Let r be z(a). Solve -r*i - 2*i - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 192560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*s**3 - 902*s**3 + 205*s**3.\nAnswer: -577*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h*(h**1\/h*h)\/h*h)*h*h)**(5\/4)\/((h*h\/(h*(h\/(h\/((h\/(h**4\/h*h))\/h*h*h)))\/h))\/h*h**6)*(h**2*h*h**(1\/2)\/h)**33 assuming h is positive.\nAnswer: h**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 366 + -362. Suppose -2*r = -3*j + 4, 4*r + 7 = -4*j - 1. Let z = j - 0. Solve l*m + 23 - 7 = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 - 64662*q**2 + 193972*q - 129312 = 0.\nAnswer: 1, 2, 32328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-4)\/l))\/(l*l*l**(-20)*l)*l\/l**9*l*l**(-20) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*u = 1 - 43, 2*m - 3*u = 35. Put 39, m, 0, 2 in decreasing order.\nAnswer: 39, m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83936*s - 47120*s - 3964*s + 29015*s.\nAnswer: -106005*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5721*y**2 + 57209*y - 11. Give j(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1050971*p**2 + 147259?\nAnswer: 2101942*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/86 and 25\/10023694.\nAnswer: 431018842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + 1 - 2 + 2 + (3 + 4 - 5)*(-3 - 1 + 6) - 5 + 1 + 2)*(-3*n + n - 6*n).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**4\/12 - 2*b**3\/3 + 7*b**2. Calculate the least common multiple of s(10) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 45 + 113)*((a + 0*a - 3*a)*(4 - 3 + 0) - 3 + 3 - 2*a - 2*a - 2*a + 3*a - 3*a + 6*a - 2*a + 2*a - 3*a + 0*a + 3*a + 3 - 3) as s + l*a and give l.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33167650 divided by -33167650\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 2134157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -555051933.\nAnswer: -555051933.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 112*m**2 + 474*m - 360.\nAnswer: -2*(m - 3)*(m - 1)*(m + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {f: 3, p: 1, r: 4, j: 4, u: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328 + -322. Solve -3*z - f = 2*f + y, 5*f - 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.1 - -85.9. Let z = -3 - 0. Let c = z - -5. Put c, 3, k in increasing order.\nAnswer: k, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*x = -1169 - 4551 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiggggggiwiwg. Give prob of picking 2 i.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*l + 8, -203*l + 202*l + d - 6 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 3. Let a be c(6). Let x be (-12)\/a*10\/(-4). Let i = 16067 - 16067.5. What is the third biggest value in x, 0, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360073651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/261 and -13\/18038.\nAnswer: 162342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**30*z*z**35)**28)**(-43) assuming z is positive.\nAnswer: z**(-8428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -q + 2*f, 4*q - f - 3 = 0. Suppose q = -5*m - 0 + 5. Suppose 0 = k + m - 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 2*i - 7*i + 1670 - 1672 + i.\nAnswer: -31*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abab when four letters picked without replacement from {b: 4, a: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 16, 2, -0.1, -765?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*s - 582. Let h = s - -168. Suppose 121 = 5*y + h. What is the highest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 61. Let d(u) = -u + 1. Let h(m) = 5*d(m) + v(m). Is h(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/(x\/x**(-4)))\/((x**0*x)\/x**(-7)))\/((x**(-2\/7)*x**(2\/5)*x)\/(((x**(-7)*x)\/x)\/(x\/(x**(3\/2)\/x)))) assuming x is positive.\nAnswer: x**(-4679\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + 9*x + 203. Let s(y) = -13*y**2 + 44*y + 1015. Let v(t) = 2*s(t) - 11*z(t). Differentiate v(i) wrt i.\nAnswer: 14*i - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o**3 + 2*o**2 - 2*o + 2. Let w(i) = -676*i**3 + 91*i**2 - 91*i + 91. Calculate 91*q(m) - 2*w(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4015860\/(-1890))\/(5012\/(-1)). Let v = q + -7\/3222. Find the common denominator of v and 18\/11.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1647612*a**2 - 5*a - 6154223 wrt a.\nAnswer: 3295224*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 6042?\nAnswer: 6042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*s - 17 = 392*s - 4*v, -s = 2*v - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, g: 4, h: 1, c: 2}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/2)*k\/k**(2\/9)*k)\/(k**(1\/4))**(17\/2) assuming k is positive.\nAnswer: k**(155\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 133*f**2 - 71*f + 297. Determine w(66).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - ((-2)\/9 - 645\/135). Sort -71, -4, g.\nAnswer: -71, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*r + 23, 4*o + 5 = 3*r - 6. Suppose 0 = -3*k + 2*b + 24, 3*k - 6*b + 3*b = 27. Let t be 3\/1 - (5 - 5)\/k. Sort t, 5, -2, o.\nAnswer: -2, o, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074281183?\nAnswer: 1074281183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1517\/460528?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) -2\/3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.4 - -10. Let c = z + 0.5. What is the closest to 0 in -3, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - 1 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*n + 12 = 0, p + 0*p - 4*n = 21. Solve -y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134148.6 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -920, -1166, -1510, -1952, -2492?\nAnswer: -3130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-11))\/(36\/(-93432)). Let g = 710 + q. Do g and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360507538 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5 + -20713?\nAnswer: -20808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476963?\nAnswer: 29, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, q: 5, f: 1, s: 2, p: 1, x: 2}. Give prob of picking 1 b and 3 q.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from gqccccccgqeq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9*i - 7 = -3*h, -3*i + 27 = -2*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729589092 and 3048.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/12 and -79\/3389172?\nAnswer: 3389172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925474197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*2\/(-7))\/(1\/(-7)). Suppose 16*k - a = 92. Suppose 8*c - 342 = k*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q - 4. Let j(o) = 5*o**3 + 19*o**2 + 23*o + 42. Let v(p) = 4*h(p) + j(p). What is v(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 107. Let v be d(-45). Let f(x) be the second derivative of -7*x**3\/6 - 53*x**2\/2 - 3*x. Does 22 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -202592, -405185, -607784, -810389, -1013000, -1215617, -1418240?\n\"Answer: -3*o**2 - 202584*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1552740 by -10.\nAnswer: 155274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10*(-2)\/(-30))\/((-2)\/(-276)). Let l = g - 91. Solve -3*h - 11 - l = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 8. Let l(g) = -5*g - 49. Let p(v) = -39*j(v) + 6*l(v). Let u be p(-14). Let f be 47\/9 - (-24)\/u. Solve f*r - 22 - 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -218, -392, -636, -950, -1334, -1788?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1614 + 3.57. Round g to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + -4 + sqrt(13))**2 - -2*-2*sqrt(13)).\nAnswer: -231 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-70))\/(9\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*l + 187 = -368*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 199. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2273 - 2271. Solve a*u + 0 = -2*s + 2, -3*s = 4*u - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 0. Suppose b - 25 = -d*b - 5*a, 2*b = 3*a - 15. Solve b = -3*t - 12 - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103167*o**3 + 62*o**2*x - 11711138*x wrt o.\nAnswer: -309501*o**2 + 124*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 6*m - 3. Let v be i(-4). Let p = v - 83. Solve 0 = 2*k + p*f + 2 - 16, k = 2*f + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -18*c**2 - 148*c - 874. Determine n(-9).\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1531 - 132. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k - 32 = 5*f, -4*f - 37 = -3*k. Let a(p) = -3*p**3 - 21*p**2 + 2*p + 16. Let y be a(f). Solve -5 = -y*q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8515 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - y**2 + 0*y**2 - y**2 in the form w + v*y**2 + f*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 - 2*g + 2. Let d be q(1). Suppose 0 = -2*x + d + 1. What is the units digit of x\/6 - (-44)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 13*b**2 + 11*b + 14. Let m be v(12). Suppose 0 = -2*u - m*u + 12. Let l(a) = 2*a**2 + 3*a + 4. Is l(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2 - 10)\/(-4). Suppose 2*n - 35 = -k*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/x**(1\/2)))\/x))**35\/((x**(2\/13)*x)\/x**(-3\/5)) assuming x is positive.\nAnswer: x**(6597\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4414, -8705, -12800, -16603, -20018, -22949?\nAnswer: -25300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*-4.7\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730309587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {y: 15, b: 5}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1296629*k**2 - 652887?\nAnswer: 2593258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -4715883?\nAnswer: 4716003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/((-6)\/(-30)). Suppose -t = -k*g + 11, -23 = t - 8*g + 3*g. Let v be (2 - -2) + t - -2. Sort -3, 2, v.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70058 - 42119. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/14 + 5*i**5\/12 + 2*i**2. What is the third derivative of x(l) wrt l?\nAnswer: 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, t: 1}. Give prob of picking 1 a and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1315 (b) -2 (c) 2 (d) -18573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:51 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f. Let s(r) = -6*r**2 - r. What is s(t(h))?\nAnswer: -1350*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 - 7*w. Let k(x) = x**3 - 2*x**2 + 1. Give 3*k(s) + n(s).\nAnswer: 2*s**3 - s**2 - 7*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*r**4 + 5977 - 17*r**4 - 9*r**4 - 6*r**4 + 6*r**2 + 10*r**3 + 25*r**2 wrt r?\nAnswer: 16*r**3 + 30*r**2 + 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*z + 6*z = 79*z - 792 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8862 divided by 10?\nAnswer: 4431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/7)\/2*(-195)\/(-210)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22078*c + 22001*c + 604 + 320 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-1 - 0)*28696\/(-272). Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 14}. Give prob of sequence xxx.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21330132 + 131003?\nAnswer: 22121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s**2 - 2*s - 1. Let u(q) = -274 - 36*q + 13*q + 273 - 17*q**2 + 20*q. Calculate -5*h(p) + 4*u(p).\nAnswer: 17*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*a - 1748 = 4*l, 5*a - 8640 = -5*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 2 + 2)*(8*c + 18 - 18) + 2*c**4 - 2 + 2.\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-2)*4\/(-6). Solve -27 = 5*h - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-418 - -388 - 272\/(-9))\/(2\/(-1314)).\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*w**4 - 86*w**4 - 2*w**4 + (3*w**3 - 2*w - 14 + 14)*(-1 - 2*w + 1) to n*w**3 + t + s*w**2 + u*w + l*w**4 and give l.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 5*f + 3*v, -7*f + 114 = -2*f + v. Let y be f - 0*1\/(-2). Suppose 1 = 5*z + 4*x + y, 3*z - 17 = 5*x. Is z at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3200)\/45)\/10 - -4. Which is smaller: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 15. Let q be g(-5). Solve -5*s - 2*m + q*m + 16 = 0, -5*s = 3*m - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-3*3.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -64. What is the highest common factor of 91 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -50351, 10, 2 in ascending order.\nAnswer: -50351, -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (6 - 5)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 57 = -3*n, 90*r + 208 = 78*r - 2*n for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, q: 6, j: 6}. What is prob of picking 1 q, 2 j, and 1 c?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let k(y) = 0 + 7 - 3. Suppose a = 4*a + 9. Let g(b) = a*f(b) - k(b). What is the first derivative of g(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 541324*l - 2044. Let d be x(6). Round d to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155818\/1585 + 983\/10. Let d = s - -16972\/1585. What is the common denominator of 73\/12 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c - 6. Let z be w(5). Suppose 4*l + z*d + 43 = 175, -2*l + 2*d = -78. Suppose 6*n + l = -6*n. Let p(t) = t**3 + t**2 - t + 3. Give p(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -0*q + 5*q. Let v = q + -3. Suppose 0 = 5*y + 4 - v. Which is the second biggest value? (a) -4\/5 (b) y (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 10*r**2 - 77*r. What is the smallest common multiple of q(-8) and 80?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(0*r - 6*r + 4*r) + (-r**2 + 0*r**2 - 5*r**2)*(-2 - 4 + 5) + 5*r**2 + 6*r - 6*r + (4 - r - 4)*(r - r + r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 18*i + 9. Let d be y(10). Suppose 0*f - d = 5*q - f, 2*f + 2 = 0. What is the units digit of (-30)\/(-4)*q\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 2, n: 1, w: 1}. Give prob of picking 1 w, 1 y, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6755 - -2683. Let n = -2407 - x. Suppose -5*m + 8348 = -3*s, -m - 2*s + n = 2*s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + -0.4. Let j = -3 - q. What is the biggest value in 2, -5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 + 3\/(-1)). Let v = -2 + n. What is the second smallest value in 0.3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 62, 0.2, 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -82*y**2 + 184*y - 39. Determine h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**5 - 5*v**5 + 0 - 2*v**5 + 0 + (0*v**4 + 5*v**4 - 3*v**4)*(-2*v + 1 - 1) - 2*v**5 + 2*v**2 - 2*v**2 - 138*v - 14*v**5 + 138*v.\nAnswer: -25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (4 + -10) - -8 - (10 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {e: 4, c: 1, o: 2, f: 3, b: 5, v: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 63 + 57 = -4*g, 4*g + 15 = -5*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11049251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 12*b**2 + b + 10*b**2.\nAnswer: 5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 109*r**6\/30 + 1043*r**3\/6 + 678*r. What is the second derivative of o(y) wrt y?\nAnswer: 1308*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j - 9. Suppose 0*r + r - j = 0. Solve 2*l - 2*q + 1 + 3 = 0, 0 = r*l + q - 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by -998246\nAnswer: 201\/998246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a4 - -7?\nAnswer: -49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 244660 to the nearest one thousand.\nAnswer: 245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 418619107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*q - 244 + 228, y - 13 = -4*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmm when three letters picked without replacement from {l: 2, m: 5, d: 2, h: 1, v: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -25?\nAnswer: -24.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b6 + -10457?\nAnswer: -10a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20940 and 38390?\nAnswer: 230340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/3*4\/4)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - j + j)*(3683*j - 77 + 219 - 141) to q*j**2 + t*j + g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:14 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.04033 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -6) + (-6)\/(-3). Suppose 17*d - 41 = 44. Solve 2*n + d = v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.22 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, 2\/9, -3, 73?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -5, 0.131, -740, 4 in descending order.\nAnswer: 4, 3, 0.131, -0.1, -5, -740","meta":{"dup_signals":{},"source":"comparison__sort_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: b\"What is the pth term of -6016, -1008, 7330, 18992, 33972?\n\"Answer: -p**3 + 1671*p**2 + 2*p - 7688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3484\/(-455)*5705\/(-652)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8729.805 centuries in decades?\nAnswer: 87298.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-119) - 117\/378?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbe when three letters picked without replacement from {u: 2, e: 5, b: 1, r: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2616166um to kilometers.\nAnswer: 0.0000000002616166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1851 - 1750. Let q be 4*(1 - 11\/12). What is the second smallest value in 5, q, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637734, -637732, -637730?\nAnswer: -637728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 50*t + 69*t - 51*t - 12*t.\nAnswer: -2*t**3 - 44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -154, -301, -448, -595, -742, -889?\n\"Answer: -147*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45876 + 1851*f - 2*f**3 - 45876 to n*f**3 + v + q*f + j*f**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951445917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. Suppose 4*f = f - 222. Let v = -68 - f. What is the remainder when v is divided by w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 43. Let v = -116 - -110. Which is the second biggest value? (a) -0.05 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4\/7 (c) -0.3 (d) 0.115 (e) 0.5 (f) -0.1 (g) -4\/389\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*q + 1488 + 42447 = -19669 - 149506 for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huhl when four letters picked without replacement from {l: 3, s: 2, u: 2, h: 8, y: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 355.6 * -0.2\nAnswer: -71.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18122575?\nAnswer: 5, 724903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610*v + 2613*v = -2*x + 84, -5*v + 156 = -2*x for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + 1. Calculate the greatest common factor of j and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 9*v**8\/56 - v**4\/6 + v + 5. Let f(w) be the first derivative of a(w). What is the third derivative of f(s) wrt s?\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2836146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 8. Let h be s\/(4\/(2 + 0)). Let y(p) = 14*p + 1. Let v be y(h). Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**2 + 13*o - 5. Let u(z) = -6*z**2 - 6*z + 3. Let f(k) = 3*b(k) + 5*u(k). Find v, given that f(v) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(6\/13))\/(a*a**(-1\/16)))\/(a**(-17)*a**(1\/5)*a) assuming a is positive.\nAnswer: a**(16977\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - 4*x = 1705, 682 = 2*a - 2*x. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 15. Let v be k\/(-16) + 27\/12. Determine x, given that 2*x**v - 1\/3 + 11\/3*x**4 - 14\/3*x**3 + 1\/3*x - x**5 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1394682, -1394684, -1394686, -1394688?\n\"Answer: -2*t - 1394680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:32 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)\/(4 + (-4 - 2)). Suppose 4*h - 4*f - 16525 - 15715 = 0, z = 4*h + 5*f - 32213. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f**2 - 7*f + 48. Let g(v) = -v**2. Determine w(g(z)).\nAnswer: 14*z**4 + 7*z**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3867721*v. Let b(h) = h**2. What is g(b(t))?\nAnswer: 3867721*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703*b - 636*b**2 + 145*b + 1558*b.\nAnswer: -636*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -16. Calculate the remainder when 14 is divided by (-4)\/(-6)*36\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3374 and 27\/32.\nAnswer: 53984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 272\/48715 or 0?\nAnswer: 272\/48715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 47*d + 89. Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let n be (5 + 1)\/((-9)\/12). Let q be ((-3)\/15)\/(n\/(-20)). What is the biggest value in q, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886350461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from cdqqwdkcccdcwcdsk?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388628.\nAnswer: 2, 97157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -943 + 972. What is the remainder when 1389 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -449 and -7528.\nAnswer: 3380072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/10)*(d\/(d**3\/d))\/d*(d*d**(2\/5))**(-11\/8))**(-50))**(-9) assuming d is positive.\nAnswer: d**(-6885\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 73 - 95. Is 5057 + 7\/l*0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3771.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r - 65*r - 14 = n, 5*r - 3*n - 50 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 23. Let z be g(-3). Suppose -l + 20 = z. Solve 5*b - l + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-2)\/3))\/(4\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/13)\/(n\/n**(-2\/7)*n) assuming n is positive.\nAnswer: n**(-236\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 - 1336?\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -13 + (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63788, 63826, 63910, 64046, 64240, 64498?\n\"Answer: b**3 + 17*b**2 - 20*b + 63790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3243*z - 522*z - 22590 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 6*z + 1305. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146\/7 + -1592\/77. Let h = 0.04 - 0.14. What is the third smallest value in h, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 + -160. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -17*d**2 - 72*d - 1448. Let r(o) = 47*o**2 + 217*o + 4343. Let b(l) = -4*r(l) - 11*x(l). Factor b(j).\nAnswer: -(j + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4051\/18 - -1820\/9. Find the common denominator of a and 3*(-1)\/(-6) - 65\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1951 (b) -2\/13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 2415171.9?\nAnswer: -2415165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(2\/(3 + -1)). Let s be 2*(-2 + 34\/(-4)). Let l be (-406)\/s - 3\/9. Calculate the highest common divisor of l and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503257233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 + 1. Let m(f) = -f - 2. Let q be m(-8). Let v(c) = c**3 - 7*c**2 + 5*c + 7. Let p be v(q). Give s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 3*o + 1. Let w be m(-2). Which is the biggest value? (a) -2\/13 (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12115 by -2423.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 3514680*x**2 + 772064483568*x - 1544114908448.\nAnswer: 4*(x - 439334)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. Suppose y = -2*t + 2, -12 = -z + 5*t. Solve 0*c = -z*c - 5*d - 30, 4*d = 3*c - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0013 + 0.0013. Let l = 458\/99 - 40\/9. What is the nearest to g in 3, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -1035 + 4830. Let y = 254 + u. Let s(m) = -m**2 - 7. Let h(o) = o**2 + 6. Let v(a) = -6*h(a) - 5*s(a). Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*i**3 + 385*i**3 + 447*i**3 - 1165*i**3.\nAnswer: 53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1542*-13745.\nAnswer: 2119.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/210 and 43\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -22*r**2 - 5*r. Let j(d) = -21*d**2 - 4*d. Let x be ((-530)\/(-954))\/((-1)\/9) - 1*-1. What is x*g(f) + 5*j(f)?\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + (0 + -10 - (-413 - -397)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -2\/3, -34.8, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-2 + 3 + 0) - 1 + 2 - 3 - 3 + 4 + 0 - 4 + 2 - 1 + 11 + 1 - 4 - 1 - 3 + 3)*(4*o**3 - 4*o**3 - o**3).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*-2*3.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.169, 0.2, -0.026?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.795 from -966449.215.\nAnswer: -966445.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 4 - 2 + 4. Let q(n) = -n**2 + 7*n - 2. Let g be q(6). Determine m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 5895.042.\nAnswer: 471.60336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1020 and -74\/165.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -161*n - 15442. Let v be h(-96). Solve v = 3*w + y, -5*w + 30 = 19*y - 14*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576.3 - 255.3. Which is the fourth biggest value? (a) -2\/13 (b) r (c) -1\/2 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460076*n**2 + 233*n - 920152*n**2 + 460077*n**2 to x*n + i*n**2 + m and give x.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245365438 to the nearest integer?\nAnswer: 15664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5277 - 1?\nAnswer: 5276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 3\/5, -0.3, 0.1 in ascending order.\nAnswer: -4, -0.3, 0.1, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g - 39*g - 96*g.\nAnswer: -106*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227903293487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2. Let w(j) = 28*j - 2. Give w(c(r)).\nAnswer: -252*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 154 in 0.3, -43, -1.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15408 divided by 6.\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + y - 24 = 0, 11714*s + 41 = 11713*s + 4*y. Put s, -1\/24, -0.3, 3, 0.2 in descending order.\nAnswer: 3, 0.2, -1\/24, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = 853. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 15*t + 11. Solve 3*u - 4*s = -0*s - 11, 5*u + t = 3*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -8. Let b(d) = -d**3 + 6*d**2 + d + 6. Calculate the remainder when 46 is divided by b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74249 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 6*x - 60 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 23 = 2*k + 24*h, -4*k = 5*h + 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*-3*sqrt(187))\/(sqrt(33)\/(-4*sqrt(3)))*-6.\nAnswer: 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 + 2. Let a = 2 - 2. Let j be b(a). Is 5 a factor of 20\/2 + -2 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15536 + 326320\/21. Calculate the common denominator of 23\/57 and x.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.134 and 377091501269?\nAnswer: 377091501268.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1789? (a) -3 (b) 0.1 (c) 2 (d) -2\/9 (e) 4 (f) -16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198613 less than or equal to 198614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -57. Suppose -2 - 19 = -j*w. Solve -5 = 3*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258688244.\nAnswer: 2, 64672061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*g - 0*g + 314, 156 = f - 2*g. Suppose -139*t + 140*t - 60*t = -944. What is the smallest common multiple of t and f?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5\/503, -2\/977?\nAnswer: -2\/977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z = 3*z - 32, 3*i + 8 = 5*z. Which is bigger: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + (-2)\/(-4). Let a be (7\/(-2) + 3)*c. Suppose a*y = 4*y - 148. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 49*h**2 + 7*h. Let v(f) = -f**3 + 33*f**2 + 5*f. What is -5*p(k) + 7*v(k)?\nAnswer: 3*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 2368 = -11567. What are the prime factors of j?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174516.7 to the nearest one hundred.\nAnswer: -174500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*o - 0*o, 11 = -5*i - 4*o. Let d be (0 - 1)\/(i\/(-2)). Suppose -d = -5*n - 7. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-6)*(-7 - (-4 - 6)). Let s = y + 38. What is the greatest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1187 - 55 - 515)*(-11 + m + 16 - 2*m).\nAnswer: -617*m + 3085","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 + v**2 + v + 1. Let q be d(-1). Suppose 5*c - 3*r + 27 = -22, -r + 43 = -5*c. Is q <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -14)\/((-1)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 13*w = -400. Solve -f + 0*f = 4*q + w, 15 = -3*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3183 (base 9) to base 12.\nAnswer: -1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*x + 2*a + 64, 1000 - 986 = 5*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6.791001 days?\nAnswer: 0.970143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m. Let l = 0 - -1. Let b(c) = -c**2 - c + 2. Let s(o) = 1. Let n(r) = -b(r) + 2*s(r). Give l*k(t) - 3*n(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 83. Let j be ((-135)\/(-15))\/((-3)\/(-4)). Let m = -12 + j. Solve -p = -q - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 67 = -3*r, 0*s - 17 = -s - 3*r. What is the remainder when 69 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 118, 0.4, 2\/11 in descending order.\nAnswer: 118, 5, 1, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j. Let f be m(1). Let q = 7 + f. Suppose -q*v = v - 32. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 175, 264, 353, 442?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h + 20 = 0. Suppose -6*q - h = -2*q - p, 0 = -3*p + 15. Which is the closest to 2\/9? (a) -5 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.46 + -159.56. Let i = -132 - u. Is i greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 54\/7*k**2 + 33\/7*k.\nAnswer: 3*(k + 1)*(18*k - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w. Let m(q) = q + 5. Calculate h(m(n)).\nAnswer: -2*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85, 263, 743, 1675, 3209, 5495?\n\"Answer: 25*l**3 + l**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 30*h**3 + 2045*h**2 - 2070*h.\nAnswer: -5*h*(h - 23)*(h - 1)*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (-1 + 1 + sqrt(847) + 2*sqrt(847)*1)*-3 + -3)**2.\nAnswer: 594*sqrt(7) + 68618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (479 - 479 - 793*p**3)*(-2*p**2 + 2*p**2 - p**2 - 5*p**2 + 6*p**2 + 3*p**2 + (5 - 5 + p)*(0*p - 3*p + 2*p)).\nAnswer: -1586*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 11*t**7\/42 + 205*t**6\/24 - 19*t**5\/3 + 691*t**2. Factor x(n).\nAnswer: 5*n**2*(n + 19)*(11*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**3 - 76*p**2 - 11. Let d(b) = -5*b**3 + 25*b**2 + 4. Determine -11*d(t) - 4*w(t).\nAnswer: -t**3 + 29*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(1*sqrt(5)*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 65 + 201. Calculate the highest common factor of 315 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 >= -4947\/800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133.177 - -2.097. Let a = l - -132. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461676105 divided by 5?\nAnswer: -292335221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510 and 141922545?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 39 + 7. Let a = 510 + -277. Suppose -a = -s*o + 111. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = -3*s, 0 = -4*g + s - 3*s + 4. Find the third derivative of v**3 - 2*v**g - 7*v**3 + 4*v**2 wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (1 - 1))\/(-3). Let b be (17 + -2)\/(-3)*-3. Solve 5*v = -b - s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 29. Let s be a(23). Let q be (7 - 2)\/(8*3\/s). What is b in 1\/2*b**4 + 1\/4*b**2 - 1\/2*b + 0 + q*b**3 = 0?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 1.6. Let f = 72 + -74. Put h, f, -1\/3 in descending order.\nAnswer: h, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:51 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zppppnzpzzpnp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/222)\/(2\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t - 3*n + 4, -2*t + 2*n + 16 = 0. Let s = 7 - t. Let d(b) = b**2 - b + 1. Give d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**9\/3024 + c**7\/840 + 11*c**3\/6 - 7*c**2. Let v(a) be the first derivative of b(a). Factor v(f).\nAnswer: -f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpplvppzz. What is prob of picking 1 v and 1 p?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*n + 5*t, -3*t + 1665 - 1562 = 5*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(1700)*-1 + sqrt(1700) - sqrt(51)\/(sqrt(6)\/sqrt(2)))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1582 and 1288?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let d(j) = -j**3 + 2*j**2 + 1. Let i(g) = -3*g**4 + 291*g**3 - 7485*g**2 + 7203*g + 6. Let h(z) = -6*d(z) + i(z). Determine q so that h(q) = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 27*c + 95. Let a be u(-11). Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*z**2 + 37 + 338*z**2 - 3.\nAnswer: 2*z**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**5\/120 - p**4\/6 + 4*p**3\/3 + 1. Let l(d) be the third derivative of v(d). Let h = -48 + 51. Calculate l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c - 156009 = -1307*c - 1115*c for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 69. Let q be o(-16). Find the second derivative of -q*z + 33*z - 64*z**3 + 55*z + 17*z wrt z.\nAnswer: -384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(13) + 2*sqrt(637) + sqrt(13) + -5*sqrt(13) + 1)**2.\nAnswer: 132*sqrt(13) + 1605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 24 - 654. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1752, -6984, -15668, -27774, -43272, -62132, -84324, -109818?\nAnswer: -138584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 1. Let r be w(2). Suppose -4*o - 3*o = 0. Sort -3, r, o in decreasing order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -140 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02526 + -3.97474. What is the second smallest value in -2\/11, -1\/3, k, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39 + 38)\/(((-9)\/(-15))\/(-3)). Solve 7*c - 2*c - p = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 2:22 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867 = -23*k - 141*k + 937 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u + 9 = 62*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3 + 141*c**2 + 2016*c + 6372 = 0.\nAnswer: -6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1368?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {b: 2, x: 1, d: 1, t: 1, w: 1, k: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 55 = -5*p, 2*p - 5*n + 29 = -0*p. Let k be (-44)\/p - 2\/(-6). Suppose 0 = -k*o + 3*z + 233 + 32, 0 = 2*z - 2. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 14. Let r be m(-7). Suppose 4*v - 3*v - 108 = r. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 4*j - 3*j + 2*j**3 + 5*j in the form c + s*j**2 + n*j + t*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-71)\/5)\/((-6)\/185) - 23\/(-69).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*i + 106*k - 102 = -191*i + 111*k, -4*i + 2*k = -36 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 6, u: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2 - 6*k + 13. Let b be m(-7). Solve 0 = 4*q + 14 + b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184322?\nAnswer: 2, 23, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.43929755 - 52.4392976. Let a = 1.2 - -9.8. Let f = a + p. What is f rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 337, 327, 303, 259, 189?\n\"Answer: -h**3 - h**2 + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281\/6 - 47. Sort t, 2, 1\/10, -2\/15 in descending order.\nAnswer: 2, 1\/10, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -2, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29021 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2265 by -4.\nAnswer: -2265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + -1*sqrt(847) + -4*3*sqrt(847))*3)**2.\nAnswer: 2574*sqrt(7) + 1288296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248*k**4*z + 2*k**4 - 26*k - 9*z + 3646 wrt k?\nAnswer: -992*k**3*z + 8*k**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 41*x - 5. Let b(a) = a + 1. Calculate -3*b(y) - h(y).\nAnswer: -44*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7202 (base 10) in base 13?\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*f + 17 = -4, 0 = -3*r + 2*f + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5071914, -5071915, -5071916, -5071917, -5071918, -5071919?\n\"Answer: -s - 5071913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2, -3*j - 2*f - 1 = -14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 123, 278, 581, 1080, 1823?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 2*l - 2. Let t(x) = x - 1. Let g(z) = -4*t(z) + 2*v(z). Let n(k) = -1 + 2*k + 1. Calculate g(n(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -108*x - 356. Let q(t) = 508*t + 1781. Determine -14*h(f) - 3*q(f).\nAnswer: -12*f - 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1008)*-2 + sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + -2)))*6 - (-5*(-1 + sqrt(343)) + -2 + sqrt(63) + 2))**2.\nAnswer: -35360*sqrt(7) + 7571489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27.378 (b) 52 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646122572 divided by 3?\nAnswer: -548707524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*6\/(-36)*1. Let w(x) be the first derivative of a*x + 0*x**5 + 0*x**2 + 1\/3*x**3 - 2\/3*x**6 + 14 + 0*x**4. Find the third derivative of w(m) wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s. Suppose -20*v + 15*v + 3845 = s. Suppose 4*x = m - 4*m + v, -4*m - 3*x = -1030. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21731\/35 + -621. Let l be 0\/(4 - (6 + 0)). Is l less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*d**3 - 108*d**3 - 141*d**3.\nAnswer: -59*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2119\nAnswer: -4238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1938 is divided by 387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57468, 57554, 57698, 57900, 58160, 58478, 58854?\n\"Answer: 29*q**2 - q + 57440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 5*x, -5*x + 16 = -b + 5*b. Let c be (b\/(-5))\/((-1)\/(-13)). Which is bigger: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -731*y**3 - 13*y**2 + 121*y + 4. Let i(l) = -l**3 - l**2 + 4*l + 1. Let p(j) = 4*i(j) - k(j). Find the third derivative of p(d) wrt d.\nAnswer: 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = -51*k - 593 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*a - 3*a - 261, 0 = -5*x - 3*a + 263. Let m = 3762 - 3760. Calculate the lowest common multiple of x and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 c when four letters picked without replacement from acccacaccc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 11. Let u(r) = -2*r - 7. Let g(q) = 5*f(q) - 8*u(q). Suppose 219 = 5*a + 2*x, -231 = -4*a - a + 2*x. Suppose -6*n - a = 3*n. Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896781 or 896771?\nAnswer: 896771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:21 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 4 (b) 2\/3 (c) -4 (d) 0.15 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -231. Let m(j) = 267*j**2 - w*j**2 - 134*j**2. Let x(h) = 5*h**2. Give x(m(f)).\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4309522.1 + -689\nAnswer: -4310211.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:34 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4128*j = -4251*j - 7503 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d. Let v(r) = r + 9 - 29*r**2 + 19*r**2 + 11*r**2 - r. Determine a(v(m)).\nAnswer: 4*m**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 401156.1 centimeters?\nAnswer: 4011561000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by -6 + (-72)\/(-8) - (-1 + -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -43\/3, 183, 0.4, -2\/5?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1012 + -1020. Let h(j) = 2*j - 2 + 7*j + j**2 - 4. Determine h(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283\/6 + -47. What is the third biggest value in 0.4, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 19. Suppose -s = 9*b - 13*b. Suppose -b*u - q = -2*q - 149, -5*q - 10 = 0. What is the remainder when u is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 60 = 10*h. Does 6 divide (-2*(-54)\/h)\/((-30)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -41*f + 705. Is 140 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/181) - (1880\/100 + -18).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2 and 27\/2159896?\nAnswer: 2159896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0 (b) 0.8 (c) -0.4 (d) -212\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15689*u + 376524. Determine o(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 96*s**2. Let x(m) = -18146*m. Determine n(x(r)).\nAnswer: 31610622336*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2 + 2119436*z - 2119428.\nAnswer: -4*(z - 1)*(2*z - 529857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from gkngnnknnkkkkkkkknk.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170071883?\nAnswer: 170071883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1948 + 571. Let r = -784 - i. List the prime factors of r.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 2542*g + 2*g**2 + 2549*g. Let o be u(3). Suppose 0 = -0*t - 3*t + 24. Solve 4*s + o*k = 17, 2*s - 1 = -k + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/60 + i**4\/6 - 2*i**3\/3 + i**2. Let b(f) = -f**2 + 4*f - 5. Let k(w) = 5*b(w) - 6*d(w). What is k(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14562 and 5909745.\nAnswer: 35458470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*m + 1 - 13, 2*m + 8 = 4*r. Suppose m*c + 30 = -3*h + c, 0 = 5*h + 4*c + 52. Let v be (6\/16)\/(18\/h). Is v greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 15. Let g = -3 - -6. Let o = 1 - g. Let d(f) = -2*f - 3. Let n(c) = o*q(c) + 11*d(c). What is the first derivative of n(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -o + 10, 0 = 3*o - 3*c - 3559 + 3523. Let z(m) = 11*m**3 - 4*m**2 + 9*m - 4. Let u(j) = -32*j**3 + 11*j**2 - 26*j + 11. Determine o*z(y) + 4*u(y).\nAnswer: -7*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367140 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 17 + -16 + -2 + 11 + -8 - 78.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 * 0.14\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 1.76, 0.22 in descending order.\nAnswer: 1.76, 0.22, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138 in 0, -0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.2 + 194.2. Let x = y + -147.9. Which is the third smallest value? (a) 29 (b) 0.4 (c) -0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 + 36 - -17) + -2 + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8875052 to the nearest integer?\nAnswer: 2979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1 + -133 - -2. Round o to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011235 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 + 4*g - 10. Let k be y(-2). Suppose 2*n - k + 50 = 0. What is z in -2\/3*z**3 + 0 + 0*z**n + 0*z**2 + 1\/3*z + 1\/3*z**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 4*l - 2*l)*(6 + 8 - 8) - l - l + l in the form b + m*l and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8516*b + 142. Let x(l) = -1703*l - 26. Give 2*u(q) + 11*x(q).\nAnswer: -1701*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 335\/4 + 2\/8. Let v be (-1)\/(-3)*9 + 3 + -2. Suppose t + 61 = v*z - z, 0 = 2*t - 4. Calculate the highest common divisor of z and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149599?\nAnswer: 3, 17, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-152326)\/(-9) - (-360)\/(-324)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 22*m**3 + 22*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25ffac + -2e?\nAnswer: 25ff7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12 + 12\/1 + 9340.\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 552, 973, 1394?\n\"Answer: 421*v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -908896428 and 9.\nAnswer: -908896419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-42*b + 22*b + 2*b)*(-3 + 3 + b**2).\nAnswer: -54*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 106410?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (1 - 3\/3*-98) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-266)\/665*20\/4)\/(-61)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 75 = 9*k. Calculate the smallest common multiple of 17 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223626193 divided by 1\nAnswer: 223626193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166140 and 9940.\nAnswer: 1162980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2100\/(-5425)*1085\/(-140).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -146563085311+397\nAnswer: -146563084914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -39. Let p(g) = 63 - 13*g**2 - 116 + 14*g + g**3 + 61. Let s be p(b). What is the highest common divisor of s and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4369 and 8224.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 47*q**2 - 22*q**2 - 11*q**2 - 15*q**2.\nAnswer: -95*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00680753 to 4 dps.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - (-4 - (-498 - -490 - (1 + 1 - 13)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + (-7)\/4. Let t = -137198 + 137200. Does p = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -32 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3503 + -3446. Calculate the greatest common factor of n and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x + 2. Let y be w(-5). Let h(z) = z - 3 + 0 + 11459*z**2 - 11453*z**2. Calculate the remainder when h(y) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/9 (c) 0.1 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182 (base 14) to base 12.\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4559, -2720, -879, 964, 2809?\n\"Answer: n**2 + 1836*n - 6396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22607287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.62 from 138984.\nAnswer: 138981.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 435\/8*40\/(-400) and 67\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/(-1128)*(-4)\/2*(-1 + 26\/14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -71, 46, -0.27 in increasing order.\nAnswer: -71, -3, -0.27, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 4, 6, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 3.682801?\nAnswer: 0.682801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150020, 150019, 150018, 150017?\n\"Answer: -h + 150021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/3))**(-12)\/(b**(-1\/7)*b**(-1\/9)\/b*b))**(-7))**(2\/73) assuming b is positive.\nAnswer: b**(-1040\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 4, y: 7, k: 1}. What is prob of picking 2 s and 1 k?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 + 5*c**4\/12 + 14*c**3\/3 - 136*c**2 + c. Calculate the remainder when 278 is divided by h(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -97 + (1 - -1) + 6 + 7 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3939278048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scy when three letters picked without replacement from elclsheeelcycel?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 12969609.03 to the nearest 10000.\nAnswer: 12970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*2*sqrt(180))**2 + (2 + sqrt(180) + sqrt(180) + sqrt(180) + 2 + sqrt(180))**2.\nAnswer: 192*sqrt(5) + 3611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 3. Let h(v) = -v**2 + 4*v - 4. Let s(j) = -4*b(j) - 3*h(j). Let g(r) = r + 1. Let q(k) = 2. Let i(a) = -2*g(a) + q(a). What is s(i(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90366 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Let l be j(8). Let k = l - -42. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 71875*x**2 - x + 8. Suppose 3*r - 5 + 22 = -5*m, -5*m - 9 = r. Let v = r - -12. Let t be o(v). Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 476\/(-16) - (-1)\/(-4). Let q be 6\/45 + ((-86)\/o - 3). Let w be (-1)\/(-2)*4\/(-3). Is w bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.59309ml in litres?\nAnswer: 0.01859309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8779 - 8773.003. Let h = 6 - t. Let q = -1.003 + h. What is the third smallest value in q, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 16) + -2 + 1224 + -1. Suppose 0 = -d + 3974 + r. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1106, -988, -960, -1016, -1150, -1356?\nAnswer: -1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2044023004233 - -2?\nAnswer: -2044023004231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 82.11034 millimeters?\nAnswer: 8.211034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24381791 to 4 dps.\nAnswer: -0.2438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 16\/5)*5. Suppose -64*g = -53*g - 55. Sort q, 1, 0, g in descending order.\nAnswer: g, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -125 and 0.089976.\nAnswer: -11.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 43*q - 80. Suppose 7*p = p - 882. Let m be (-3)\/(-2)*56\/p. Which is the biggest value? (a) m (b) -4 (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2672\/1005 + -5\/67. What is the common denominator of m and -40\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201372233?\nAnswer: 3, 31, 12917981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70415761*h**3*s - 1352*h**3 - 1957*h - 1 wrt s?\nAnswer: 70415761*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.64887702 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3.1, -0.05, -2\/2549?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -336216 + 5?\nAnswer: -336211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -8\/9 (c) -2\/9 (d) -14\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -35*v - 3460. Let m be t(-99). Solve 32 = 13*r - m*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 8. Let p be x(3). Let r(g) = g**2 - 40*g + 366. Let n be r(p). Let t = -5 - -9. Solve -17 = t*s + 5*h, 0 = 2*s + n*h + 12 - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16620*r - 264. Let t(f) = 4969381*f + 78892. Give 1793*m(q) + 6*t(q).\nAnswer: 16626*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 8) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1880 = -1889 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8198*b*r**3 + b*r**2 + 4*b*r - 99*b + 3220*r**3 + 2*r**2 - 388*r - 2 wrt r.\nAnswer: -49188*b + 19320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2104*j - 2112*j + 0 + 0 + 6403*j - 2188*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4077 and 612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 42, -4 in decreasing order.\nAnswer: 42, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-5)\/(350\/4)). Let w be 60\/n - (-4)\/(-14). What is the closest to -0.1 in 1, 3, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*v**2 - 1 + 105*v**2 + 8*v**3 - 2*v to the form x*v**2 + q + p*v**3 + j*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126*(-3)\/(-9)*1\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 bigger than 325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 5*w - 45, -5*w = -0*w + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 43 - 47. Suppose -8 = -2*x + 4*l, -l + p = -x + 3. Suppose 0 = 2*t, -4*g - 3*t = -14 - 6. Solve -4*u - u - g = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1)\/6*6*(-8 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 5*o = -81*w, -4*w = -4*o. Let 0*k + 0*k**2 + 0*k**3 + 2\/3*k**4 + w + 5\/3*k**5 = 0. What is k?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1520.6?\nAnswer: -608.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(1\/7)\/h))**(-27) assuming h is positive.\nAnswer: h**(-540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233876 is divided by 840?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + x - 4 = 0, -3*s = 4*x - 16. Solve -4*f + f + z + 9 = s, 0 = 4*z - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a week in minutes?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k. Let j(p) = 3*p. Let y(g) = -5*f(g) - 8*j(g). Give y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/12 in 3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 26*n - 21. Let u be x(-12). Let a be -2*2*(-3)\/4. What is the greatest common factor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Suppose 2774 = o*z + 264. Let y = z - 345. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fttf when four letters picked without replacement from syssstfssytffh?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133\/14 - (-14)\/(-4) and 164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50227172 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t + 12. Let j(i) = 2*i + 2. Let c(b) = -5*j(b) + y(b). Give c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t)*(3*t - 3*t - 3*t - 5*t + 3*t + 3*t + (t - 3*t + 0*t)*(-5 + 0 + 3)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 72*l + 48*l**2 - 3*l**4 - 35828757*l**3 + 35828765*l**3 - 108.\nAnswer: -4*(l - 3)**2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -829*k. Let c(j) = -11*j. What is c(a(g))?\nAnswer: 9119*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8 - (11\/88*-4 + -42))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let m(d) = -d + 8. Let u be m(x). Let o be (-7)\/(-3) - (-2)\/(-6). Solve -2*z - 4*f = u, -2*f - o*f = 3*z + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596413\/80412 + -2\/6701. Find the common denominator of -35\/6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - 7. Does 17 divide ((-204)\/8)\/(18\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 562184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * 1\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 1\/6 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-28)*2 - (-1093 + 1089)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 631176 and 2380.\nAnswer: 3155880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + p - 4*p - 4*p + 15*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5846303 - -0.1?\nAnswer: -5846302.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668307.\nAnswer: 3, 367, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 28 = -14*h + 10*h + 5*w, -23*h + 310 = -28*h + 70*w + 5*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22834, -183004, -617764, -1464412, -2860246, -4942564, -7848664?\nAnswer: -11715844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 59. Let v = j + -37\/2. Which is the closest to -1\/4? (a) v (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/5422 less than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7586, 15357, 23456, 32045, 41286, 51341, 62372?\nAnswer: 74541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 22 + -19 - (0 + -7 + 4 - -8)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 11*l**2 + 6. Let t be g(-11). Suppose 2*c - t - 6 = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + (-100)\/24)*(-12)\/8. Determine g, given that -1\/2*g**3 + 0*g + 0 + a*g**4 + 1\/4*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8)*w\/w**(1\/9)*w)**37 assuming w is positive.\nAnswer: w**(4699\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/294*-7)\/((22\/(-6))\/(-11)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 134, 153, 182?\n\"Answer: 5*r**2 - 6*r + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028631455 rounded to 7 decimal places?\nAnswer: 0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 7, o: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/2 + 3*i**4\/2 + 33*i**3 + 66*i**2 + 36*i = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 + 65*h - 201. Let n be q(3). Let g(x) = -10*x**2 + 13*x + 7. Let o(t) = -5*t**2 + 6*t + 3. Calculate n*g(f) - 7*o(f).\nAnswer: 5*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 212 = 2*s. What is the remainder when 50 is divided by s\/(-8) - (-2)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 - 6*d - 3. Let r be h(-4). Suppose -2 - 4 = 122*z - 6. Suppose m - 3 + 2 = z, -r*m + 27805 = -2*f. Round f to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + q = -32*l + 5, -4*q = 2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1478 (b) -1\/2 (c) 19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 24)\/((-83)\/10375). What is the second derivative of -2878*v - x*v - v**3 + 63 + 5751*v wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185784124.\nAnswer: 2, 7, 41, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107892 divided by -12?\nAnswer: -8991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 8*w - 44)*(2*w**4 - 4*w**3 + 4*w**3).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -83?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, -4, -6, 238, -0.2 in descending order.\nAnswer: 238, 1\/5, -0.2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*35\/(-147))\/((-6)\/(-7)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -459*j**2. Let t(b) = 2*b. What is t(r(s))?\nAnswer: -918*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*d + 6, -4*p + p = -d + 9. Let t be 3\/(p + (-6)\/(-3)). Let w be (1*t)\/((-12)\/80). What is the greatest common divisor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -693\/5, 10, 3, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/3 - 6786184*t**2\/3 - 1918841029280*t + 7675400310144 = 0.\nAnswer: -1696548, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - 1. Let p be v(-1). Suppose 3 = p*g - 9. Let k = 35 + -29. What is the lowest common multiple of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -179 * -9633.\nAnswer: 1724307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d. Let w(c) = 1. Let g(k) = -k + 8. Let f be g(0). Suppose 4*t - 16 = f*q - 4*q, q = -5. Let l(y) = y - 1. Let a(r) = t*l(r) - w(r). Give b(a(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 7:06 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8144372, 32577483, 73299336, 130309931, 203609268, 293197347?\nAnswer: 399074168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 - 5*o**4\/12 - 3*o**2 - o. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:00 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20311 - -122203300?\nAnswer: 122230211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*v = -164*v + 258. Let r be -5 - 8\/(144\/v). What is the third smallest value in r, -1, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4271149, 4271153, 4271157, 4271161, 4271165, 4271169?\n\"Answer: 4*n + 4271145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2 - 4*a + 6. Let g be v(4). Let j = g + 3. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*q + 1642 + 405. Is q bigger than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445\/6 - 74. Let g(j) be the second derivative of -2*j - 1\/3*j**3 + 0*j**2 - u*j**4 + 0. Find the second derivative of g(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8496 and -61\/12.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23941\/30 - -2395\/3. Let d(z) be the second derivative of 23*z + 1\/20*z**4 + 0 + c*z**3 + 3\/5*z**2. Factor d(q).\nAnswer: 3*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k**2. Let p(y) = -11*y**2 - 21*y. Let o(h) = -12*h**2 - 24*h. Let x(c) = -7*o(c) + 8*p(c). Determine x(g(v)).\nAnswer: -1764*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 2, k: 4, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 315.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*f - 7*f + 16, -4 = 4*f - 5*p. Solve 6*i - f*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -84621452*r. Let i(d) = 2*d**2. Calculate i(y(m)).\nAnswer: 14321580277176608*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {h: 3, w: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1621106 (base 8) to base 2.\nAnswer: -1110010001001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4746 - -15?\nAnswer: 4763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111000000000101111 (base 2) to base 14.\nAnswer: 2c13c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n + 4*q, -3*q + 5*q = 3*n - 3. Let k = -198 - -209. What is the remainder when (-1 + (-2 - -35))\/n is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 183253, 183216, 183177, 183136, 183093?\n\"Answer: -y**2 - 34*y + 183288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 126622 (b) -5 (c) 280\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 - 557. What is the closest to g in -3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 66 + -73 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 196 + 205 - 14*h - 399. Let f(a) be the third derivative of 5*a**4\/24 - a**3\/6 + a**2. Determine 8*f(d) + 3*m(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40773*v = -40781*v - 8. Is v bigger than -21\/488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 32*s - 8. Let j be g(5). Suppose w - 4*r = 23, 3*r = -2*w + w + 16. Calculate the greatest common divisor of j and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*g + 29, 2*r = 2*g - 2*r - 26. Suppose -g*q + 0*q + 5*n + 40 = 0, 3*q + 3*n = 0. Solve 0 + 4 = q*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48855 - -52455.1. Round f to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6279?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.362 and 3.\nAnswer: 3.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -193296 divided by -8054\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -4, 1\/7, 29146 in ascending order.\nAnswer: -4, 1\/7, 1\/5, 29146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 312.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 24, -0.3, 58, 1168?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at most 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -877 - -841. What is the nearest to -1 in y, 4, -3\/7, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 + 227\/2. Let l = 16 - 16.4. What is the closest to -1 in -2\/3, i, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70035953 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 542358 by -3.\nAnswer: -180786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {k: 16, f: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-0.33.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 133, 199, 277, 373, 493, 643, 829?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1907 or 1824?\nAnswer: 1824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 1158 = 179. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768757, -768759, -768761, -768763?\nAnswer: -768765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 6*p - 24*p. Let p*g**4 + 0 + 0*g**2 + 2\/7*g**3 - 2\/7*g**5 + 0*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/134362 and 8\/25.\nAnswer: 3359050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-3 - -1)\/2. Let l be (-1)\/z - (-210505)\/(-30). Let n = l - -77241\/11. Calculate the common denominator of n and 16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 3*v**2 - 1. Let k be z(-2). Suppose -y - 4 = -k*y. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77 and -13379312.\nAnswer: -13379235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.98 - 0.0589\nAnswer: -1.0389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(320) + sqrt(320) + -1 + 5)**2*-6.\nAnswer: -8064 - 1536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 17, q: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10739 is divided by 511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 956840225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 474*r**2 + 46*r**5 + 510*r**2 - 42*r**5 - 36*r**4 - 44*r**3 + 40*r - 2 = 0 for r.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16619.\nAnswer: 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 - 5*q**2 - 2*q - 7*q**3 + 3*q**2 + 3 + 3. Let x(k) = 13*k**3 + 15*k**2 + 4*k - 11. What is -11*p(z) - 6*x(z)?\nAnswer: -z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(6\/(-4)))\/((-16)\/640). Suppose -167*i = -159*i - o. Suppose -4*a = -0*a - 8. Solve 12 = -2*c + 4*w, -5*c = -2*c + a*w + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-165)\/(-22))\/(-5)*((-8)\/9)\/4. Sort 2, 1, v, 0.5, 58 in increasing order.\nAnswer: v, 0.5, 1, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, -13\/7, 0.019, -4\/21, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*b + 3*b + 99, -3*b = -w - 33. Let q be (0 - 2)\/((-6 + 10)\/w). Suppose -q*o + 9*o = -336. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/9, -1\/8885, 4, 2\/7 in ascending order.\nAnswer: -1\/8885, 2\/7, 22\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2402526*b - 4*b**2 + 2402526*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8065 is divided by 377.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 772 + 1152. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454985 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 the remainder when 2539796 is divided by 74698?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(((-6)\/(-14))\/((-54)\/126))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 837, 1487, 2139, 2793, 3449, 4107?\nAnswer: 4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119109.7 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 49. Let n be i(-7). Suppose -2*l = -5*v + 180 + n, -3*l = -5*v + 255. Calculate the remainder when v is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 2, y: 1, z: 4}. What is prob of sequence ysz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:55 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/714 and -10\/27.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6247477 + -0.5052?\nAnswer: 7.1195477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**2 + 271*b + 30. Let h(x) = 65*x**2 + 1625*x + 175. Let t(w) = 6*h(w) - 35*i(w). Determine y, given that t(y) = 0.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 30. Let j = 203 - 221. Let p = d - j. Is 2 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-2*k - 4 + 4 + (-7 + 4 + 4)*(3*k - 4*k + 0*k) - 433*k + 502700 - 502700 + 4*k + 3*k - 6*k).\nAnswer: -435*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -113186 + -3a7?\nAnswer: -113582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113\/3, -1\/4, -4, 3 in descending order.\nAnswer: 3, -1\/4, -4, -113\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, e: 2}. Give prob of picking 1 e and 2 c.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-12)*837\/248*20\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62149 or 62182?\nAnswer: 62182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5249113*s**3 + 2*s - 1388734?\nAnswer: -31494678*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 572860 (base 9) to base 7\nAnswer: 2626653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/60 - k**4\/2 + 37*k**3\/6 + 5546*k**2. Give c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.7 + -40.\nAnswer: 86.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 765\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 14727, -166 in increasing order.\nAnswer: -166, -3, 0, 14727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 58 - 53 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27096799 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 44*p - 224. Determine x(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 34 - 22)*(-3 + 3 + k**2 + 1).\nAnswer: -10*k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.50372 + 0.7478. Let f = 1.24 - o. What is f rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*o**4 + 215?\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 16*g**2 + 0 - 3\/4*g**4 + 1\/15*g**5 + 0*g + 4\/3*g**3. What is the units digit of a(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*n**3 - 18*n**3 + 54*n**3 + (0*n**2 + n**2 + n**2)*(3*n + 0*n - 5*n) - 36*n**3 - 20*n**3 + 34*n**3 - 2*n.\nAnswer: -17*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*2*-6) + -3*sqrt(156)*2)\/(((sqrt(36) - -2*sqrt(36))\/sqrt(3) - sqrt(12)) + sqrt(12)*-2*5)*3.\nAnswer: -21*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20492 = 4*b - l, b + l = 7007 - 1879. What is the greatest common divisor of b and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -42*s - 30. Let d be r(-12). Calculate the common denominator of d\/(-220) - ((-14)\/(-5) - 3) and (2 + -3)\/8 - 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 37. Solve 0 = -4*m + 1 + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -44. Let l(u) = -37*u**2 - 3 - 37*u**2 + 71*u**x. Let z(j) be the third derivative of -j**5\/10 - 5*j**3\/6 + j**2. Determine -5*l(t) + 3*z(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/6 + 1)\/(36\/(-540)). Suppose 0 = -i*h + 4562 + 38708. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(396)*-4 + 2)**2 + ((sqrt(110)*-3)\/sqrt(5))\/sqrt(2) + 1.\nAnswer: -291*sqrt(11) + 57029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 550325032?\nAnswer: -550325005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Suppose -h*m = -23 + 3. Let 2*i + 12*i**3 + 8*i**4 - 18*i**2 - 11*i**m + 8*i**2 - 5*i**5 = 0. Calculate i.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let w be 20\/9 - x - 1. Put -1, w, 0 in decreasing order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:33 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*v**2 + 647263*v - 42963736 wrt v?\nAnswer: 30*v + 647263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5)\/5*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/20 + 5*y**4\/12 - 5*y**3\/6 + 3*y**2 - 3*y. Let n be i(-6). Solve n = 5*o - 10*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 15*g - 37. Let t be i(18). Suppose -2*f = l - t + 16, -2*f + 2*l = -10. Solve f*b = -m - 1, 0*m - 4*m = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**5 - 2*l**5 + 34*l**5 + 2*l**5 - 3*l + 3*l + (-5 + 1 + 3)*(-l**5 + 4*l**3 - 4*l**3).\nAnswer: 41*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + -4 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsassmt. What is prob of picking 1 t and 2 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21837 and 44283?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 14) in base 3?\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*u - 139*u = 18. Let h be (-36 - -12)*6\/u. Let l(n) = n**2 - 7*n - 8. What is l(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9878 = -41*y + 45261. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -20) + -7 - (-2 - (2 + -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/7 + 43*s\/7 + 2088\/7.\nAnswer: -(s - 72)*(s + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1792\/3 - -598. Let s = 1 + -5. Let g = s + 4.1. Which is the nearest to g? (a) 2\/7 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 1380*n**2 + 9816*n - 14080 = 0. What is n?\nAnswer: -352, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.85 + 0.15. Let r = f + -12.00000012. What is r rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2521192 divided by -178.\nAnswer: -14164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 8*w**2 - 12*w + 14. Determine f(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*f + 35872 = 666*f. Solve 0 = 33*n + 26*n + f for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from idttdellnld.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.90000026 - 2.9. Round i to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:22 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 44\/3*s**2 + 16*s - 268\/9*s**3 - 77 + 7\/2*s**4. Let p(q) = 0. What is q?\nAnswer: -2\/7, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/6, 3, -4, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 700*c**2 + 50176*c - 97520.\nAnswer: -4*(c - 53)*(c - 2)*(c + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/sqrt(294).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16024 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 - 204.1. What is the nearest to 0.043 in q, 5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*g = -0*g - 194, -3*g = -15. What is the remainder when c is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974979777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30821, 30844, 30879, 30932, 31009, 31116?\nAnswer: 31259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -1000, -1500, -2000, -2500?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2201220012?\nAnswer: -2201220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, x: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 4*p. Suppose p*x = -x. Suppose -2*o = -x*o - 4. What is the biggest value in -2, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5520234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h**2 - 22*h + 52. Let x be w(-9). Solve 0 = x*q + 5 - 33 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p + 1. Let a be s(-2). Let r be (14\/(-6))\/((-8)\/24). Let t be 0\/(r - (-4 + 10)). Solve t = 2*g + a + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 41*k - 1456 = 51*k + 78*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -0.8, 2 in increasing order.\nAnswer: -1, -0.8, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-152)\/456*6\/(-250). Which is the second smallest value? (a) 0 (b) -1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6588990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 3}. What is prob of sequence ege?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (-11 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -17 - ((2 - 0) + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 72 = g. Which is bigger: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816543356?\nAnswer: 2, 3, 151378613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 201?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -150, -615, -1392, -2481, -3882, -5595?\n\"Answer: -156*y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/4260 and -125\/587028.\nAnswer: 2935140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + 0 - 11 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - -3?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/28)\/((-2)\/7*-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0*v - 14 + 4*v - 12. Let l be y(8). Solve 0*u - l = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.082 + 1.868. Let q = -98 - -98.05. Let g = q + c. What is the nearest to 2 in 2\/9, g, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/4 - -3\/2. Suppose -g - 2*v = -3, g - 2*v = 5*g - 6. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(28) - (sqrt(28)*-1 - sqrt(28)))\/sqrt(4)).\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.26 + -1.64. Let j = y - -22.2. Put 1, -9, j, -0.3 in increasing order.\nAnswer: -9, -0.3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/61 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*p - 21 = 0, -f = -3*f - 4*p - 4. Suppose -3*w = -f*w + 44. Let m = 40 - w. Sort -1, m, 4 in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.1 + 65. Let d = o + 0.1. What is the closest to -1 in 3, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(192)*-1*6)\/sqrt(6) + -3 - ((sqrt(512) - (3 + sqrt(512)))*6 + -5))**2.\nAnswer: -800*sqrt(2) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.28366ml to litres.\nAnswer: 0.08328366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f + 48. Let b(c) = 3*c. Calculate 4*b(n) - y(n).\nAnswer: -2*n - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 4*z**2 - 4*z - 4. Suppose -4*y + 2*g = -0*g + 44, -y + 5*g = 29. Let w(v) = -6*v**3 + 9*v**2 - 9*v - 9. Calculate y*l(d) + 4*w(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104085, 104140, 104201, 104268, 104341?\n\"Answer: 3*m**2 + 46*m + 104036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14)*(-133)\/(-95))\/4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o*o)\/(o**(-3)\/o*o))**(18\/7)*(o**(-4\/7)*o*o**(-1\/5))\/(o**0\/o*(o\/o**4)\/o) assuming o is positive.\nAnswer: o**(723\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 455, 920, 1543?\nAnswer: 2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77516.9ng to tonnes.\nAnswer: 0.0000000000775169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -2\/21 (c) 1 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.764, -7?\nAnswer: 0.764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuuv when four letters picked without replacement from {u: 4, r: 5, v: 5}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-1 - 2 + 1)*(48 - 97 + 47)*(-6*i + 4*i + i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*a - 9 + 8 + 26, -3*y = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.6 + -36. Round i to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 8*c + 340. Let l be ((-100)\/30)\/(c\/(-24)). Solve 3*s + 3*d - 9 = l*s, 2*s + 6 = 2*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 181, 17, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/31 - 1636\/775. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 73\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -9012\/27115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 d when four letters picked without replacement from rddthddhdhhhhrdhd?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -56835 <= -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2075\/4 or -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 53\/215?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 112, -48 in descending order.\nAnswer: 112, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -6. Calculate the greatest common divisor of d and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -21*y + 2 + 6 - 4. Let l be k(-4). What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -22 - (-115 - -79).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*b = -19493 + 33843 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y\/(y**(-14)\/y)*y**(6\/7) assuming y is positive.\nAnswer: y**(139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4700, -18797, -42284, -75155, -117404, -169025, -230012, -300359?\nAnswer: -380060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 1149000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/20*5\/2. Calculate the smallest common multiple of (g\/6)\/(4\/168) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -61*y + 182. Let p = -126 - -129. Let n be b(p). Let h(k) = 4*k - 10. Let g(w) = w - 1. Give n*h(d) + 5*g(d).\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 5*o - 281. Let f be (-4 + (-27)\/(-6))*(-20)\/(-2). Suppose -3*d = 3*g - 10 - o, 4*d + 55 = f*g. What is the least common multiple of g and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 888654.1ng?\nAnswer: 0.8886541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2325429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-106390)\/(-6) - (-12)\/30*190\/57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 - 2*g**3 + 4*g**3 - 1 - g**3 + 1 + (3*g**2 - g**2 + 0*g**2)*(0*g - g + 0*g) + (4 + g**2 - 4)*(-2*g - 2*g + 2*g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.2 (c) 0.0132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gghg when four letters picked without replacement from {h: 5, g: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534359523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -402402203 + 4?\nAnswer: -402402177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-40)*6*(-4)\/80.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5393 - 26967\/5. Which is the nearest to 4? (a) s (b) -2 (c) 0.3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - s - 18 = 2*s, 0 = -2*s - 2. Find the third derivative of -m**2 + 6 + 18885*m**p - 18942*m**5 - 3*m**2 wrt m.\nAnswer: -3420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14679 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 55*k**3 + 3*k**2 - 6*k + 1. Let z be m(6). Let b = z + -2453. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1527104779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -27*y + 0 + 11\/3*y**3 + 0*y**2 - 13\/6*y**4. Find the second derivative of w(f) wrt f.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2357, 14, -0.2 in descending order.\nAnswer: 14, 0.2357, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 26*i + 23*i, 5*v - 5*i - 25 = 0. Suppose v = -29*c - 167. Let d(s) = s**3 + 8*s**2 + 5*s. Determine d(c).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 45016 = -9*v + 4*v, 4*v = 4*m + 36032. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/45 + 133\/(-15). Let v = g + 16. Calculate the remainder when 19 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + 4) - (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose -5*v - 14 = -3*t, -5*t = -0*v + v - 14. Let r = 362 + -367. Sort m, v, r.\nAnswer: r, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 5. Let y(b) = -b**2 + 1. Let c(v) = i(v) - 5*y(v). Let p(x) = -2*x**2. Calculate p(c(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + p - 9\/4*p**2 + 3\/2*p**3 - 1\/4*p**4.\nAnswer: -p*(p - 4)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12021.1999897794 - 12021.2. What is f rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-48))\/((-3)\/36). Suppose 3*y - 4*o = -16, -y + 0*o - 4 = -o. Let x = -4 - -5. Solve y = a*c - 11 - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -25, -3, 27, 65, 111, 165?\n\"Answer: 4*a**2 + 2*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -45*q**3 - 49*q**2 + 37*q - 16. Let o(d) = d**3 + 8*d**2 + d + 3. Give m(t) + 6*o(t).\nAnswer: -39*t**3 - t**2 + 43*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620, 1582, 1510, 1398, 1240, 1030, 762?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176599?\nAnswer: 1176599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83295 and 99.\nAnswer: 916245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or -1679\/6?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 - 1. Let i(t) = -t**2 - 7*t - 3. Let r be i(-5). Let h(o) = -12 + r + 6. Calculate c(q) - 2*h(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 44*f**2 - 90*f + 79. Let z be v(-46). What is the second biggest value in -2\/15, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142687, -285509, -428331, -571153?\nAnswer: -713975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c + 21. Let k be 0 + -7 - (-1 - -1). Let x = k - c. Solve -x + 2 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 6*s**2 + s - 4. Let b(h) = -16*h**3 + 31*h**2 - 3*h + 21. Let l(c) = -2*b(c) - 11*v(c). Solve l(q) = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**7\/420 + q**6\/120 - 2*q**2 + 8*q. What is r in a(r) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(48))\/(-2*sqrt(576) + sqrt(4)).\nAnswer: -sqrt(7)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 85*r + 24*r**2 + 0 - 74*r + 12*r**2 - 2. Is v(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*g**2 + 1047*g**2 + g + 0*g - g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96651 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (270\/210)\/(1620\/(-1890))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1455a8 (base 13) to base 11.\nAnswer: -30a868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 13*j**2)*(j**2 - 3*j**2 + 4*j**2).\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2\/7 + 457536*r\/7 - 11193660 = 0. Calculate r.\nAnswer: -114555, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a + 60*a + 534*a.\nAnswer: 767*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/910520 and -11\/425.\nAnswer: 4552600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6852*z**3 + 2798 - 2798.\nAnswer: 6852*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = -2*l. Is l greater than 4\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 551 - -3?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -728, -1\/7, 62?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/3 - 540*i**2 + 1592*i\/3 + 3232.\nAnswer: 4*(i - 404)*(i - 3)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbzzizcc. Give prob of picking 1 b, 2 z, and 1 i.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11307.444 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*i + 13, 4*i + 9 = -x - 0. Let z(p) = 3*p + 5. Let f(r) = 2 - r - 3 - 1. Let v(q) = 2*q + 4. Let t(g) = 10*f(g) + 4*v(g). Give x*t(h) - 4*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose w - o = 2. Factor -w*a**4 + a**2 - 3*a**4 + 5*a**4.\nAnswer: -a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**2 - 926*w + 428738.\nAnswer: (w - 926)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5297 by -13310.\nAnswer: 5297\/13310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*-6*10\/90\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 8.3. Let k = -9.2951 - v. Round k to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5\/6, 8.1, 0.1, 0.3 in increasing order.\nAnswer: -5\/6, 0.1, 0.3, 1\/3, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 + (1 - 20). Which is smaller: -17 or t?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125 - 169?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 695 divided by -4\nAnswer: -695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101110111111?\nAnswer: 101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -26*w**2 + 6*w + 4. Let d be a(-4). Let n = d - 344. Is (-2)\/11 + n\/(-55) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -273916.\nAnswer: 12\/68479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4755 from 40.542.\nAnswer: -4714.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1870.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h**2. Suppose d - 4*d = 0. Suppose d = -0*y + y - 5. Let v(n) = -2*n**3 + 3*n**2. Let k(u) = y*g(u) - 3*v(u). Find x, given that k(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 30. Put -5, -3, -2, p in ascending order.\nAnswer: -5, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = -3*f + 232 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, 11, 2\/7, 3\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 2 - 2 + (0*m**2 + 0*m**2 + 3*m**2)*(2*m - 6*m - m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 352?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 - 4?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -81 (b) 0.1 (c) -0.013 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3\/(-9)*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 924076, 1848154, 2772232, 3696310, 4620388?\n\"Answer: 924078*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/9363 + 1819595957\/46815. Let r = 39006 - n. Let c = -139 + r. Sort -4, 5, c in increasing order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8449588 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-13)\/(-39)*-13323 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 2*q. Suppose 20 = -q*x + f + 3*f, 3*f = -x + 15. Suppose -12 = -3*k - x*k. Solve -4*s - 17 = -m + 2*m, s + k*m + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqeppqeqp. Give prob of picking 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1760 and 16.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.04, -0.1, 2.7745 in increasing order.\nAnswer: -8, -0.1, -0.04, 2.7745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/440 - 8807\/3080. Calculate the common denominator of l and 234\/15 + -2 + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 3*k + 4. Let g(h) = h**4 - h**3 + h - 1. Let m(f) = 3*g(f) + v(f). Find the first derivative of m(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 26 = 5*l, 14 = -5*a + 4*a + 5*l. Is 1328\/a - (-3)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + j**2 - 4*j**2)*(0*j - 13*j**3 + 0*j) + (-2*j**4 - 1 + 1)*(-j + 2*j - 3*j).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -177. Let u be ((-14)\/8)\/(1\/4). Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39072?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700973 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1 (c) 4\/591 (d) -12 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlll when four letters picked without replacement from {l: 9, m: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 2. Let y be h(2). Suppose 59*o - 2 - 58 - 58 = 0. Solve -3*c - 17 = -y*p, 2*c + o*c + p + 8 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42673?\nAnswer: 139, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 6. Suppose 3*n + 4 = n. Let g be r(n). List the prime factors of (-10)\/6*(7 - g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5))**(-4\/9)*(k\/(k\/(k**(1\/13)\/k)))\/k**(-2\/39))**(-15) assuming k is positive.\nAnswer: k**(-790\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-606)\/(-8) - -2) + (-2)\/(-8). Let y = o - 77. Let r(a) = -88*a + 96*a - 2 - 2 - y + a**2. Give r(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10*d - 21 = 0. Suppose -d*g - 3*g + 486 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*g - 192, 2*g + 2*g - 396 = 4*k. Let f = 144 + k. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b**3 + 26*b**3 - 3*b**3.\nAnswer: -51*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-12\/13))**17*g**(-8)\/g*g*(g\/(g*(g\/g**(-19))\/g))\/g)**10 assuming g is positive.\nAnswer: g**(610\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27.93876 meters?\nAnswer: 27938760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 657 = -3*y - 3*z, -2*y + 5*z = 335. Suppose h + 445 = -4*v + 2*h, 2*v + 209 = 5*h. Let l = v - y. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose 84 = 27*h - 31*h. Let m = h - -24. Solve c = m*j, -2*r - j - j = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1861 and 0.0758.\nAnswer: 141.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 45*k + 28. Let u be -3*((-4)\/(-6) - 2). Let l be z(u). Let h = -95 + l. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -474*d**2 - 472*d + 14225. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -219? (a) -3 (b) -0.5 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1173, 3\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.151 + 0.351. Suppose 4*n = 6*n + 382. Let m = 1717\/9 + n. Sort s, -4, m in descending order.\nAnswer: s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48.112 and -74671115.\nAnswer: -74671066.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1340 = n - 3*n, 0 = 3*n + 15. What is the greatest common divisor of h and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 - (-54)\/24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1724a?\nAnswer: 17252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, c: 1}. What is prob of sequence cll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -74*x - 6. Determine c(-2).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/971935 and -66\/2465.\nAnswer: 16522895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1229 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 779 + -776. Which is the closest to 3\/2? (a) -3 (b) -52 (c) m (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102886 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = -j, 3*z + 31 - 26 = 4*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -1715151315940.\nAnswer: -1715151315940.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjajajeaajj. What is prob of sequence aa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 + 1076718*m**3\/5 - 289815338437*m**2\/5 - 8115462597396*m\/5 - 56809715477284\/5 = 0. Calculate m.\nAnswer: -14, 538373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -11, 1\/3, 1 in decreasing order.\nAnswer: 1, 0.5, 1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isdps. Give prob of sequence sip.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195*l - 12*l - 392*l)*(0 + 0 - 3)*(7*l**3 - 2*l - 5*l**3 - 3*l**3).\nAnswer: -627*l**4 - 1254*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 788600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 4*i + 7590. Suppose -15*m + 705 = -i. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfemfam. Give prob of picking 1 w and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7062 - 300 + 5684 - 7871 - 7067 - 8625)*(3*z + 3*z - 3*z) to o + t*z and give t.\nAnswer: -75723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.77 and -6.\nAnswer: 7.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481*i - 2945*i = -1478*i + 644 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.94 + -20.94. What is the nearest to -7 in -5, b, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 434842718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2)*(2 + -4). Suppose -116 = -6*k + 2*k. Let t = m + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2 - 635*y + 6. Let c(j) = -2*j**2 + j - 1. Calculate -6*c(f) - d(f).\nAnswer: 2*f**2 + 629*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**2 + 12*l + 9. Let i(k) = 5*k**2 + 6*k + 4. Calculate -4*g(q) + 9*i(q).\nAnswer: q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103657980 divided by -27532?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.53 and -9.312159605.\nAnswer: -8.782159605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21399 > -21403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 2, v: 3}. What is prob of picking 1 x and 1 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3557 - 0.0093. Let d = q + -0.055. Let w = d + 0.42. What is the nearest to -0.3 in -1, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 203866 and -1.37?\nAnswer: 203867.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14310, -29803, -45296, -60789, -76282?\nAnswer: -91775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j + 5. What is the units digit of q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -675400 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*x + 2*j, -5*j + 56 - 81 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 62 + 10. Suppose o - k = 19. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 - u**3 - u**4 + 7*u**3 + 0*u**4 - 4*u**2 + 10*u**3 - 2*u in the form t*u**4 + h*u**2 + p*u + d + m*u**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11443 - 11439. Solve -a = -2*o - 2, 0 = 5*a - q*o - 10 - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - l - 3*l + (0 - 3 + 2)*((-l - 4*l + 4*l)*(4 + 0 - 2) + (-2*l - 4*l + 2*l)*(-1 + 1 - 1)) in the form t*l + v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.23313 and -43.24.\nAnswer: -96.5605412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z, 3*l + 71*z - 125 = 76*z. What is the highest common divisor of 170 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/55)\/((-2)\/(-1*10)). Sort -57, a, 2 in descending order.\nAnswer: 2, a, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -30*s**2 + 79*s - 148. Calculate t(6).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*((-530)\/3)\/1. Suppose -2*y + 635 = 3*k, 2*y = -3*y - 5*k + b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5014 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, k: 4, h: 2}. Give prob of sequence kk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1415.796137 to the nearest 10.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-8 + (-3 - -9)) - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-229)\/(-229))\/((-4)\/(-100))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = 3*y, 4*y - o = -3*o + 26. Let p(w) = -w**3 + 4*w**2 - 9*w - 1. Let c be p(y). Let b = -28 - c. Calculate the remainder when 17 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47428246 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2433775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6285, 6370, 6505, 6684, 6901?\n\"Answer: -z**3 + 31*z**2 - z + 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 214162936?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 5*w - 2. Let p be q(4). Let h be 3*(-1 - 2)*(-50)\/9. Sort 0, h, p in descending order.\nAnswer: h, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 44*i**2 - 11*i - i**3 - 27 - 75*i**2 + 45*i**2. Let k be z(13). Which is greater: k or -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -45b6d?\nAnswer: 45b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1\/8, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -196658 + 0?\nAnswer: -196658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10)**29\/(n**8)**(2\/25))**(1\/21) assuming n is positive.\nAnswer: n**(7234\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -36338346 not equal to -36338372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064911041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17712615643 and 4?\nAnswer: 17712615647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 869 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 431607 = 431607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n = 180. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 168.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*((sqrt(320) - sqrt(20))*-4 + 0))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/49 + 47\/(-7). Let d(p) be the third derivative of p**5\/60 + p**4\/4 - 32*p**2 + 9. Calculate d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653652567.\nAnswer: 3, 17, 4272239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -55*g**2. Let v(k) = -333*k + 111*k + 107*k + 112*k. What is x(v(m))?\nAnswer: -495*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**3 - 5*k**3 - 23*k**2 + 5*k**2 - 3*k**3 in the form s*k**3 + f*k**2 + r*k + j and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 348969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -6 + 5 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07835963834 and 50.\nAnswer: 50.07835963834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5. Let v(u) = u + 1. Let a(q) = c(q) - 5*v(q). Let m(g) = 11*g**2. Give m(a(k)).\nAnswer: 275*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**11\/((d**(2\/9)\/d)\/(d*d**(2\/5)\/d)))\/(d\/(d*d*(d\/d**(-1\/5))\/d*d)*d*d**(-3)*(d**(-2\/7)*d)**48) assuming d is positive.\nAnswer: d**(-10261\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144810*a**5 + 2*a**2 + 2887.\nAnswer: 8688600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 - 11*x**2 + 5017*x - 5005 = 0.\nAnswer: -77, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) + (2 + 2)\/2. Let m = 4 + b. Solve m*c - 6*c = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 - 141.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/(11466\/(-260))*3\/20. What is the nearest to 0.2 in 1\/11, -0.16, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -809 in 1\/1222, 0, 0.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2391, 3959, 5527?\n\"Answer: 1568*u + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2366266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0 - 15, -4*b - 2 = -2*r. Suppose -97 = -r*w + 57. Is 13 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3152, 3137, 3098, 3023, 2900, 2717, 2462?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -580*z**3\/7 + 6964*z**2\/7 - 48*z\/7.\nAnswer: -4*z*(z - 12)*(145*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104001, -208000, -311999?\nAnswer: -415998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1200 and (-74)\/1200 + 126\/336.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Suppose -d = 6*w - 7*w. Solve x + 0 = 3*g + w, -5*g + 3*x - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 11*q**2 - 13*q + 14. Let f(i) = i**3 + 7*i**2 + 4*i. Let w be f(-6). What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10795*a**3*f**3 - 9269047*a**3 + 2*a**2*f**2 + 79*a*f**3 + 6*f**3 + f**2 wrt f.\nAnswer: 64770*a**3 + 474*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*r + 6*r + 180 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -447. Let l = -282 - n. Solve -y + 5*x + 18 = l, -2*y = 2*y + x + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 715929*n**3 + 2604967 wrt n?\nAnswer: 2147787*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2\/17, -3, -1\/3, 1\/50, 2 in decreasing order.\nAnswer: 2, 2\/17, 1\/50, -1\/3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1. Let o(v) = 70*v - 13. Let k(g) = 5*l(g) - o(g). Let f be k(-7). Let b = -1002 - f. What is b rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*h - 142*h = 3*r + 934, 2*h = -5*r + 324. What is the greatest common divisor of h and 3302?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/20)\/((-10)\/(-24)). Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1375))\/(sqrt(20) - sqrt(20)*-3) + -2*((sqrt(11) + -1)*-1 + (sqrt(11) + 1 - sqrt(11)) + 2).\nAnswer: -8 + 11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 + t + 5. Let g be i(0). Let q = g - 3. Solve -n + 0 = -q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5384 + -7801?\nAnswer: -13185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 35. Suppose 3*x = -3*b + 6, w = -x - x. Solve -2*q = -b*z + 4, -q - 18 = 2*q + 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18854, 75636, 170260, 302720, 473010, 681124, 927056?\nAnswer: 1210800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + 12 - (-15 - -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 450, 577, 640, 639, 574, 445?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12799 is divided by 3185.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*1 - (2 + -2*sqrt(7)).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 + p**4 - 68*p - 65*p + 134*p - 2*p**3 + 2*p**4 in the form o*p + b + w*p**3 + h*p**2 + d*p**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109*p - 1362*p + 2467*p + 10.\nAnswer: -4*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - l + 18, -2*n = -319*l + 317*l + 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 2) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 12. Solve c + 2*c**2 - 9*c**3 - q - 6*c**3 + 1 + 14*c**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 divided by 807?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*b**3 + 203128*b**2 + 4448599*b - 4?\nAnswer: 294*b + 406256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3206790 by 6.\nAnswer: -534465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1\/30)\/((-1)\/(-2)))\/(342\/(-1710)). Sort 1\/92, -0.2, s, -6, -4 in increasing order.\nAnswer: -6, -4, s, -0.2, 1\/92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13344.5 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.23 (c) 0.9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 2*j - 55. Let l(n) = 9*n**2 - n - 46. Determine -5*l(r) + 4*q(r).\nAnswer: -17*r**2 - 3*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -42 - 10*b + b**2 + 2 + 4*b. Let l be z(12). Suppose 3*q - 76 = l. What is the remainder when 69 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l)**(10\/11)*(l\/((l**(-1\/2)*l)\/l*l))**8 assuming l is positive.\nAnswer: l**(74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 51?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21600 and 1440?\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose 3 = n - x*c, -n + 4*n - c = 19. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - p = -1749, -5*p - 66 = o - 435. Calculate the remainder when o is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14238 is divided by 250.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s + 3. Let c be s + -4*3\/6. Let l(n) = -n**2. Let o(t) = -t**3 - 2*t**2. Let z(g) = c*l(g) + 4*o(g). Find the third derivative of z(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107090 > 107088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Suppose 0 = -t*a - 3*v + 69, a - 7 + 2 = -5*v. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*((-19 + 3 + 6)*(2*a - 6*a + 6*a) + (-2 - 2 + 2)*(-5*a + 3*a + 0*a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a8 (base 13) in base 8?\nAnswer: 6154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 - (-11)\/33). Let z(a) be the third derivative of 1\/24*a**4 + 1\/120*a**5 - m*a**2 + 0*a - 2\/3*a**3 + 0. Find p, given that z(p) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4639885961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 - 2*d - 3. Let o(n) = n**2 - 12*n - 8. Let l be o(12). Let b(p) = -2*p**3 - 8*p**2 - 5*p - 8. Calculate l*w(i) + 3*b(i).\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 7*v**2 - v - 1. What is m(3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (-1 + sqrt(51)\/sqrt(3))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.07 - 54.87. Put -6, 3\/16, c in decreasing order.\nAnswer: 3\/16, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2018583?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: c9ae (base 16) to base 7\nAnswer: 303345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 13*v**3\/3 - 16*v**2 + 3*v + 7. List the prime factors of k(-15).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 756276*w**2 - 3025140*w - 3025152.\nAnswer: 3*(w - 252096)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - -1*sqrt(1300))*-2*6)**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11*x\/(x*x**8))\/(x\/x**(1\/11)*((x**(-12)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t**3 + 10*t**2 + 11*t + 6. Suppose 40 = 3*u - 2*p + 6, -p = 3*u - 46. Let y be g(u). Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -30875\/826?\nAnswer: -30875\/826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16842\/(-700) + (14 - 44 - -54)?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 10*k + 182. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -232\nAnswer: -91\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 + (-95 - (-20 + -3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 121?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 9*m + 6, 3*o + 578*m - 576*m = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 2*w + 2, -17*k + 5*w = -13*k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 12\/(-10))\/(4\/(-10)). Let p(k) be the second derivative of -11*k - 8\/75*k**5 + 7\/45*k**s + 1\/15*k**2 + 0 + 4\/45*k**4. Factor p(o).\nAnswer: -2*(o - 1)*(4*o + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 10430?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x + 14*x + 13*x + 6*x - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u*u**(-1)*u))**44*u**0*u**(1\/6)*(u*u*u\/(u*u*u**(-1)))**8*u\/u**6*u*u*u**3 assuming u is positive.\nAnswer: u**(-167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, b: 8}. Give prob of picking 2 b.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32867 is divided by 447?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430\/3 + 263\/2. Find the common denominator of 119\/36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 276, 799, 1672, 2895, 4468?\n\"Answer: 175*q**2 - 2*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7)\/14)\/(-3 + (-4895)\/(-1632))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6129.095 + -6129. Which is the nearest to -0.07? (a) 1\/7 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46117, -46409, -46727, -47083, -47489?\nAnswer: -47957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1993*s + 952*s + 998*s.\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (126\/(-27))\/((-4)\/78). Suppose 173 + l = 2*z. Calculate the greatest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 8 = -u, -465*u + 465*u = -7*h + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 332194799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 + -331.06. Which is the closest to 4? (a) -2\/13 (b) -3\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2059, 2069, 2085, 2107?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4))**(2\/51))**38 assuming n is positive.\nAnswer: n**(-304\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 14*r = 406, 3207*w - 116 = 3210*w - 4*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2372235869 and 2372235869 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2412 + 2404 - (-5 - (-1 + 2))) + -21 + 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3482721.05 rounded to the nearest one thousand?\nAnswer: -3483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -323456\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3767854637?\nAnswer: 59, 83, 769421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 22936377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2018683 to three dps.\nAnswer: -0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((3 - 8) + (-12 - -15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312 divided by 6?\nAnswer: 2156\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 214\/3 + -2*3\/(-9). Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54542188?\nAnswer: 2, 17, 431, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*q - 13, -2*q - 3*q - 20 = k. Let b(z) = -z**2 + 2. Let w be b(0). Let l(y) = -4*y - 3*y**2 - y**2 - 2 + w*y**2. Give l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 15. Suppose -x = -4*x + t. Solve 0 = -3*k - 2*o - 13, 0*k + x*o + 11 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 at least as big as -1694\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 + 2*g. Suppose 0 = -2*t + 5*t - 12. Let r be 0 + 2 + 0 + t. What is the units digit of a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 2 - 6*y**3 - 191*y**3.\nAnswer: -199*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-10)*(2 - -28). Let f(c) = 32*c**3 + c**2 - 4*c + 2. Let n be f(1). Suppose n*v = 30*v + 9. What is the highest common factor of v and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 19*k**2 + 6*k - 91. Calculate a(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 1413*m + 3380*m - 2*m**2 - 1967*m.\nAnswer: -2*m**2 - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-3006007*x**4 - 3367*x**2 + 3005999*x**4 + 574*x**2) as w*x**4 + f*x**2 + o*x + n + r*x**3 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -3*l. Let t = -1.7 + 0.7. Which is the third smallest value? (a) t (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 14. What is the closest to 0.1 in b, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -260 - 5*w**2 - 5*w**3 + 2*w - 234 + 495. Give o(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25073839211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**4 + 4*i**3 + i. Let w(y) = 309*y**5 - 12*y**4 - 48*y**3 - 7*y - 98. Let a(m) = -12*j(m) - w(m). Find the second derivative of a(k) wrt k.\nAnswer: -6180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*b - 50 = -2*g, -4*b = -12. Let p be g*-2*1\/2. Let i = p - -26. What is the lowest common multiple of 20 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 2*l + 1. Let z be u(-4). Let c be (-2 + z\/(-18))*-4. Are -3 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7230*-1289.\nAnswer: 9319470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.25. Let v = -244837\/3 + 81613. Which is the nearest to v? (a) h (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 15 = -4*t. Suppose -9 = 3*c + 2*d - 5*d, -t = 2*c - 3*d. Let b be ((-57)\/(-95))\/(1\/5). Solve c = b*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehzehb. What is prob of sequence eb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 4*l**2 + 2*l**2)*(-2*l**3 + 2*l + 0*l**3 + 0*l**3 + (-2*l**2 - 3 + 3)*(43*l + 78*l - 29*l)).\nAnswer: 372*l**5 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 14\/3*f**4 + 2*f**5 + 176\/3*f + 0 - 542\/3*f**3 + 346\/3*f**2 = 0.\nAnswer: -11, -1\/3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91322 - -77441111\/848. What is the common denominator of -65\/72 and x?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -408 + 422. Suppose -3*u + 2 + n = 4*s, -u + 3*s + 14 = 0. Sort 6, -5, u in descending order.\nAnswer: u, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0 + 0 + 0 - 3 + 5 + 3*f. Let w(g) = 2 + 2*g + 2*g + 1. Determine -5*v(q) + 4*w(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 21*c**2 + 20*c + 61. Let z be j(22). Suppose 0 + 17 = f. Calculate the greatest common factor of z and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1302 + 1?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444422 times 0.2?\nAnswer: 288884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153537 and 3843?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -62. Find the common denominator of 6\/r*4\/60*37 and -79\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 47*v**2 - 155*v - 162. Let o(a) = 16*a**2 + 52*a + 54. Let m(h) = 2*c(h) + 7*o(h). Determine t so that m(t) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Suppose -17 = -z*p - 42. Let y(b) = 2*b - 5. Let i(f) = f - 6. Let k(o) = 1. Let s(n) = i(n) + 3*k(n). Give p*s(r) + 3*y(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.3. Suppose 2*i = -2*v + 8, -3*v - 2*i - 12 = -18. Let l be ((-1)\/(-3))\/(2\/(-5)). Which is the second biggest value? (a) v (b) l (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2269, -2608, -2947, -3286, -3625?\nAnswer: -3964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8190)\/(-65)*(-40)\/(-80).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -10245945\nAnswer: -29\/3415315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43062, -86107, -129122, -172101, -215038, -257927?\nAnswer: -300762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**4 - n**2 - n + 2. Let o(h) = -59*h**3 - 156*h**2 - 2*h + 4. Let z(s) = 2*j(s) - o(s). What is the third derivative of z(d) wrt d?\nAnswer: 144*d + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6063979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4890000 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2964 and 3890991.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21*d + 219. Let u be t(-11). What is the remainder when 51 is divided by u + 4 + 15 - -37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 93572472.\nAnswer: 280717416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 29. Let r be c(7). Let u(q) = q**2 - q + 3. Let s(a) be the third derivative of -a**4\/24 - a**3\/6 - 9*a**2 + 25*a. Calculate r*u(b) + 5*s(b).\nAnswer: b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**9\/42 + 13*q**5\/60 + q**2. Find the third derivative of o(l) wrt l.\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420173357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 3380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 21*t + 203 = -3*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9015*x**2 + 9312*x**2 + 2 + 10*x - 4*x - 15*x as r*x**2 + t + f*x and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504, 85, 0 in decreasing order.\nAnswer: 504, 85, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**4 + 0 + 0*m**6 - 11\/210*m**7 + 2\/15*m**5 + 0*m**3 + 0*m + m**2. Find the third derivative of q(u) wrt u.\nAnswer: -264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194078?\nAnswer: 2, 3, 71, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1\/6, -0.5, -28, 1\/9 in descending order.\nAnswer: 1\/6, 1\/9, -0.5, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26832 and 141024.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-576 - 140 - 537)*(2*r**2 + 14*r**2 + 2*r**2) to the form p*r + z + y*r**2 and give y.\nAnswer: -22554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 + 18.25. Let k = 13 - t. Let p = -5.3 - k. Which is the smallest value? (a) -5\/4 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37572 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -95.60317.\nAnswer: -860.42853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q + 1553 = 449 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*q + 14*q. Suppose -4*n = q*j, -4 = -4*j - 3*n - n. Suppose k = -2*v - k + 76, 5*v = -j*k + 194. Calculate the remainder when v is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-72))\/((-7)\/(-21))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - 3) + -31 + 26\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-51)\/(-12))\/(285\/15) and -89\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 1*sqrt(1377)*-5.\nAnswer: -45*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 3. Let p(q) = -6*q - 3. Let m(x) = 4*k(x) - 5*p(x). Let d be (8\/(-6))\/(4\/(-6)). Suppose -1 = -v + d. Calculate m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 151827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k + 4. Let c(a) = 3*a**2 - 2*a + 1. Let x be c(1). Suppose h = -x*h - 15. Sort k, h, -3\/7 in decreasing order.\nAnswer: -3\/7, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 7*y + 12. Let k be u(-6). Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Suppose 9 = n*q + a, 4*q - 5*a = 4 - 1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)*x*x**(1\/13))**(-9\/5)*(x**(-5\/3)*x**(-1\/7)\/x)**(-1\/5) assuming x is positive.\nAnswer: x**(-36857\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*x - 131*x - 120 = -4*h, 3*h - 5*x = 107. Solve -h*f = 25 + 120 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*w + 45 = 0, -12 - 8 = f - 3*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + (-120)\/25. Let s(f) = f**3 + 7*f**2 + 5*f - 4. Is 6 a factor of s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**4 + r - r**2 + r + 3*r**2 - 15*r**4 in the form u*r + w*r**3 + l*r**4 + f + z*r**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297737?\nAnswer: 11, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110121 - 101012?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5175 and 23\/425275.\nAnswer: 88031925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 18*a + 44. What is the second derivative of 20*m**a + 18*m - 15*m**2 + 20*m**2 - 1 + 18*m - 97*m**2 wrt m?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 75 = 2*i + 192 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -65 + 134 - 63 - 16*q. Let p(m) = 3*m - 1. Determine 2*o(k) + 11*p(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -942 - 3?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 233, -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9*6\/(-8658)*845\/(-130)\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29674553\/6754 - 94880\/307. Let o = u + 4705. Calculate the common denominator of 11\/12 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let a(c) = 9*c - 5. Let q(p) = -3*a(p) - 24*m(p). Let t(i) = 1. Let j(r) = q(r) + 4*t(r). Is j(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*w = -10, 16*n - 13*n = -4*w - 35. Let k(z) = -z + 1. Let c be k(3). Put 15, c, n in descending order.\nAnswer: 15, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22\/7, 0.2, 0.66, 3.7, -3, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 14. Let d = -250 - -350. What is the greatest common divisor of f and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = 0, 9*t - 6 = 11*t + 4*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiah when four letters picked without replacement from {i: 5, h: 2, a: 5}.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6744, 13594, 20574, 27702, 34996, 42474?\n\"Answer: 3*v**3 + 47*v**2 + 6688*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-2 - -5))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -q + 30. Let k be (-1640)\/(-30) + ((-112)\/12)\/(-7). Calculate the greatest common factor of k and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqrq. What is prob of picking 1 w and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - w)*(-9*w - 3*w - 2*w)*(-15 + 52 + 31) in the form t + n*w**2 + d*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -388*t**3 - t - 1. Let d be x(-1). Suppose 3*o - d = 305. Suppose -4*q - 4*y + 1180 = 0, 4*q + 3*y - o = 947. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - (-22250)\/400)\/((-2)\/(-16)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-3))\/(-13)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(4 - 2 - 1 + (4 - 3 - 2)*(-3 - 3 + 5) - 3 - 3 + 5)*(-48*i - 3*i + 24*i).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h*j*p**2 + 2*h*j + 24*h*p - 1729*j*p**2 + j with respect to h.\nAnswer: -5*j*p**2 + 2*j + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -37. Which is the second smallest value? (a) 0.3 (b) v (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 64\/5 of a kilometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 32708*a**3 + 17*a**2 - 4*a - 790. Let o(c) = 8177*c**3 + 4*c**2 - c - 197. Let x(g) = 4*l(g) - 17*o(g). Find the second derivative of x(b) wrt b.\nAnswer: -49062*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + sqrt(1100)*-2 - (0 + sqrt(1100) + -1) - (4 + (sqrt(1100) - 4*sqrt(1100)*1)))*4)**2.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -6 - 1 - 51\/17. Suppose j = 2*h - 1 - 97. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91839\/10 - -9193. Calculate the common denominator of 21\/11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 3. Let o be z(-8). Suppose o*b - 1795 = -0*b. Let t = 622 - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 102*g + 89*g + 12 + g**2 + 53 - 15. Let z be h(-16). Solve -v + 4 = -z*v, w + v = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 0.0374?\nAnswer: 14.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4061 - 4066 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/405 and 43\/76788.\nAnswer: 383940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 47*a - 93\/2.\nAnswer: -(a - 93)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-14) + 1 - 66\/154.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -4955*u**7\/7 - 868*u**3\/3 - 2570. What is the third derivative of p(w) wrt w?\nAnswer: -594600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*v**3 - 254*v**3 - 254*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 312 - 312 + 489*i + 781*i as r*i + n and give r.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379, -1273, -1167, -1061, -955, -849?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) - (-2 + sqrt(3))))*-1 + sqrt(3) - (sqrt(3)*2*5 + sqrt(3))) + -2)**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 884347121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 450.2088ng?\nAnswer: 0.0000000004502088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*c - 20*c + 5*c + 16*c**2 - 11*c**2 + 36*c to s + p*c + k*c**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 686 + -685.9999641. Round q to 6 dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9 + 10 - 20. Let m(w) = 4*w**2 + 19*w - 3. Let p be m(-5). Let j(b) = -6 + 0 - 2 - 3 + 2*b. Determine p*j(t) - 22*x(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*484478\nAnswer: -242239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = 3*v - 18*j - 61*j, -v - 5*j = 5 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31\/44 - 1\/44. Let p = 2 - -5. Find the common denominator of 5\/p*(-68)\/10 and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12221 - 662 = 537*u + 6449 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) -12\/5 (c) -97 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 + 263 - x - 7*x - 126)*(-5*x - 7*x + 0*x).\nAnswer: 96*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.567501 decades?\nAnswer: 0.9567501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 78 = 4*l + 4*z, -3*z = 5*l + 94. Let f be 4 - (l\/(-8))\/(3\/(-6)). What is the remainder when 33 is divided by ((-3)\/f)\/(1 + 116\/(-114))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45689.209 to the nearest 10.\nAnswer: 45690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 312817.6 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2782\/(-6) - 2\/6. Let s = -7418 - -7495. Let c = s - k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + -252. What are the prime factors of 21\/j - (-1094)\/12?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oocc when four letters picked without replacement from {c: 5, v: 1, t: 3, q: 4, o: 3, e: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 47*q**3 - 278*q - 362*q + 640*q - q**3.\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 7*k**2 - 10*k - 6. What is u(5)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.033*660\nAnswer: 21.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14862 - 0.4\nAnswer: -14862.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2300\/(-1518) + (-126)\/154.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m. Let j(x) = x**3 - 10*x**2 - 10*x - 9. Let b be j(11). Let s(t) = 0*t + 0*t + t - b*t - 3*t. What is s(g(r))?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-273)\/52*6\/7)\/((27\/(-42))\/9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -22, -60, -116?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 2. Let m be f(-1). Let h = -9 - -6. Which is the closest to 0.1? (a) -0.2 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 3, 5, 9, 124, -2\/173, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(38)\/(sqrt(2) - sqrt(8)*-5) - (sqrt(19) - (sqrt(19) + (sqrt(19)*-2 + sqrt(19) + sqrt(19) - sqrt(19))*1))*-5)**2.\nAnswer: 60068\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0007*0.4\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*y + 227 - 2555*y + 658*y + 635*y + 633*y.\nAnswer: 3*y + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l - 444 = w - 201*l + 79*l, 4*l + 4 = -16*w + l - 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 532*w - 4 = 531*w, 0 = -2*f + 2*w + 28 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2058)\/(-168)*(4320\/63)\/24.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16169?\nAnswer: 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 36458166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, w: 3}. Give prob of sequence ooow.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -8, 48, 148, 304, 528, 832?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 4387.5106?\nAnswer: -4387.3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -30*k**2 + 1886*k + 258. What is b(63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)*a))**24)**28*((a*a\/(a\/(a\/(a**(-1\/2)\/a))))**(-45))**(-4\/19) assuming a is positive.\nAnswer: a**(13398\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-7\/9)*p*p\/(((p*p**28)\/p)\/p) assuming p is positive.\nAnswer: p**(-209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z = 66*z - 72 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + (sqrt(350)*2 - sqrt(350) - sqrt(350) - sqrt(350)))*-6)\/((sqrt(7) + -2*sqrt(567))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 12\/20)*15. Let l = 707 - 1032. What is the common denominator of (l\/33)\/5 + (-6 - j) and -43\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 6*a**2 - 20*a**2 + 6*a**2 - 1182.\nAnswer: 3*a**2 - 1182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689599*r - 428 + 428 - 1689610*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219492178 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293 divided by 21.\nAnswer: -293\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06104215901 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/2 + 10*h**3\/3 + 5*h**2 - 3*h + 18. What is the second derivative of u(x) wrt x?\nAnswer: 12*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3155*q - 3154*q - 4*v = -22, -4*q - v - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 4*w + 30 = 0, 0 = 2*c + 5*w + 21. Sort -0.2, 4\/7, c, 5\/2 in ascending order.\nAnswer: -0.2, 4\/7, c, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 25*j - 6. Let h(b) = -b + 1. What is 2*h(p) + z(p)?\nAnswer: 23*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/15572344 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(125) + -4 - sqrt(125))*-1 - -6*((1 + sqrt(125) + sqrt(125) - sqrt(125))*3 - (5 + (sqrt(125) - -2*sqrt(125)))))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9636 + 2582.07?\nAnswer: 2583.0336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 - 30 = 37*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 984.581 and -156.\nAnswer: -153594.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-4)\/8) + 0 + 135. Suppose t*d - 134*d = 0. Solve -3*n + u + 6 = d, -3*n + 3*u - 2 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooorrrrpopo. What is prob of picking 4 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3548754 divided by 17923\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 396928 + 16109188?\nAnswer: 16506116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*m - 873, 0 = 19*f - 14*f + m + 4393. Let z = 895 + f. What is the highest common factor of z and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 11. Suppose -p + 0*p + 31 = -4*f, -2*p + 6 = 0. Let u be d(f). Is 145\/(-3 - 1*u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/(-10))\/(58\/(-145))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*z + 184 = 0, 8*k - 2*z = 3*k + 265. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.119 + 0.599. Let q = i - 2.48. Let b be 0\/2 + -1 + 2. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 48. Suppose -m*b - 87 - 113 = 0. List the prime factors of (0 + -535)*5\/b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5193488.\nAnswer: 2, 324593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + g**3 + (-3*g + 4*g - 4*g)*(0*g + 2*g**2 + 0*g) + g**3 + g**2 - g**2 + (6 - 3 - 1)*(-g + g + g**3).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmj when three letters picked without replacement from {m: 1, j: 6, u: 1, p: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 2*y**3 - y)*(6 + 4 - 2) - 7*y**3 + 2*y**3 + 3*y**3)*(-3 + 9 + 7) - y**3 + 18*y**3 - 6*y**3.\nAnswer: -223*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 80*i**2 + 138*i - 1406. Give n(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15) - (-47)\/3. Suppose -2*t - 3*t = -c. Suppose 4*x + t - 35 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27520120?\nAnswer: 2, 5, 688003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1.99984. Round c to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.22 times -2?\nAnswer: 54.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -22 + 0*n**3 + 41*n + 0*n**2 - 25\/4*n**4. What is the derivative of p(a) wrt a?\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2180062.8 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 + 13*o**5\/60 - o**4\/8 + 11*o**3\/6 - 16*o**2. Let y be k(13). Let z = 189 + y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 5115 + 1189. What are the prime factors of k?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z - 134. Determine j(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3071200 and 55\/2792?\nAnswer: 3071200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (9 + -6 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 148508028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70005?\nAnswer: 3, 5, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112222012 (base 3) to base 6.\nAnswer: -122305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/(-20))\/(6\/20). Let r(x) = 7*x - 4. What is the remainder when r(3) is divided by 1 + (-3 - (1 + l))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168 in 0.4, 1, 2\/11, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29861957860 to the nearest 1000000.\nAnswer: -29862000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 37 = 13*f - 2*f + 47, 0 = 5*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 5*a**2 + 216*a**4 - 212*a**4 + a**3 + 2*a in the form m*a**3 + y*a + u*a**2 + j + z*a**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**2 - 8*a + 16. Let x(n) = -11*n**2 + 7*n - 14. Give 6*f(w) + 7*x(w).\nAnswer: -11*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 0*w**2 - 333 - 3*w**3 - w - 2160 - 3*w**2 + 2*w**3 to the form o*w + r*w**2 + c*w**3 + d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - u + 6. Let j(t) = -2*t**2 + t - 5. Determine 3*f(h) + 4*j(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42913 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2195.811 and 783312.\nAnswer: 785507.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6220*q + q**2 - 6225*q + 12445*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -260 + 638. What is the highest common factor of 168 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*h - 10 - 7, 4*h = 5*k + 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 117. Solve 0 = -3*i - 2*x + 3*x + 19, -i + 4*x = -d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - n = 32, -6*n - 4 = -2*n. What is the units digit of z + (4\/16)\/((-4)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10037, 10032, 10027?\nAnswer: 10022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, -132, -246, 1, -1\/3 in increasing order.\nAnswer: -246, -132, -1, -1\/3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-2)\/(-16))\/((-216)\/(-288))*(-294)\/(-539).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/7 and ((-182)\/(-4))\/(68 - 132).\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5415507mm in centimeters?\nAnswer: 0.05415507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4639 + 4640. Let u = -568\/5 - -114. Sort q, -5\/4, u in decreasing order.\nAnswer: q, u, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205315, -205302, -205289, -205276?\nAnswer: -205263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*z**4 - 12\/5*z + 12\/5*z**2 + 0 - 3\/5*z**5 + 9\/5*z**3.\nAnswer: -3*z*(z - 1)**2*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 268005 and 7.48?\nAnswer: 2004677.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -187 + -35?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6874 or 10480?\nAnswer: 10480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 0 - (52 + 119 - 142).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 1541925*n + 10793720 = 0. What is n?\nAnswer: -308392, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*t + 240. Solve -2*q = 3*q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 7*q - 4. Let s be h(-8). Let m be s + -2 - (-526)\/(-248). Let z = 919\/1116 - m. Calculate the common denominator of -77\/12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2. Let t(g) = -1 + 24*g - 62*g + 26*g + 1. Determine q(t(l)).\nAnswer: -1008*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -6531\/4, -2.44, 4 in decreasing order.\nAnswer: 4, 3, -2, -2.44, -6531\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 + 1. Let w(o) be the third derivative of -1\/3*o**3 + 0 - 1\/12*o**x + 0*o + 2*o**2. Determine w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1076200 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35 and 3598248.\nAnswer: 3598213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d + 28 - 20*d - 28 to q*d + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (470\/658)\/((1*-2)\/(-14)). Solve 20 = b*i - 10*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21*v**2. Let l(i) = 37*i + 1. What is l(c(h))?\nAnswer: -777*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 119136 divided by -4964\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 926, 1851, 2774, 3695, 4614, 5531, 6446?\nAnswer: 7359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 6*m - m)*(0 + 1 - 2 + 2 + 1 - 1 + 2 + 0 - 1 + (1 + 0 - 3)*(-5 + 3 + 1) + 3 + 1 - 2 + (-1 - 3 + 3)*(-3 - 1 - 1)) in the form h*m + g and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 8436370.\nAnswer: -6\/4218185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6889*i**2\/3 - 166*i + 3.\nAnswer: (83*i - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. What is the tens digit of 10 + p + -4 + 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*a**2 - 283684*a + 283684*a.\nAnswer: 579*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8387*g - 646 + 643 - 8387*g - 272*g**2.\nAnswer: -272*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -44*l**3 - l**2 - 6*l - 4. Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-3119)\/18 + -14). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -2 + (9 - (1 - -16)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**2 - 2*p + 2*p)*(3*p + 0*p - p) - p + p - 3*p**3)*(-22216*p + 559*p**2 + 22216*p).\nAnswer: -559*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -456929, -913852, -1370775, -1827698, -2284621?\n\"Answer: -456923*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (756\/(-651))\/((-495)\/20460).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)*k*k**(3\/7)*k*k)\/(k**(1\/8)\/k**(-4)))\/((k\/((k\/(k*k**(-1\/3)*k))\/k))**(4\/13)*(k**0)**(4\/15)) assuming k is positive.\nAnswer: k**(-14233\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i**4 + 2378*i**3 + 153999*i**2 + 108112*i - 43516 = 0. What is i?\nAnswer: -253, -86, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**3 + 5*i**3 - 2 - 3*i**3)*(2 + 11 + 5) to a*i**3 + c*i**2 + q + g*i and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/61864 and -27\/25285504.\nAnswer: 278140544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 61 - 8*a**3 - 119.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110010001 - 10101000000?\nAnswer: -11011011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/319330 and -113\/10.\nAnswer: 319330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25002399.\nAnswer: 3, 31, 268843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012022022 - -100122?\nAnswer: -101011221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.8 - -12.3. Let r = -0.9 - -0.6. What is the second biggest value in -5, r, -2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 7:46 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180) + sqrt(180))\/sqrt(12))\/(1*sqrt(180)) - (sqrt(432)*-2*-2)\/sqrt(9).\nAnswer: -47*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2418264 months?\nAnswer: 0.00201522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014752 rounded to 7 decimal places?\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:43 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 34.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.169 + -0.031. Which is the smallest value? (a) n (b) -8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.083 (c) -2\/13 (d) 0.2 (e) -3\/4 (f) 622\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -52567*u + 52563*u + 63, 5*r = -5*u - 70 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2*(-1)\/2. Let t = -6.9 + 6.8. Which is the closest to t? (a) j (b) -3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + -2)*-2 - (sqrt(272)*2 - sqrt(272))*5.\nAnswer: -22*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133812 + 6?\nAnswer: 133818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 + 16390 = -124*m - 110*m for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10*g = 128. Let o = -4 + g. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(133) - (sqrt(133)*-1*1 + sqrt(133)))\/sqrt(7))**2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:10 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -171*w**2 + w + 1. Let u be h(1). What is the tens digit of (25\/(-5))\/5 - u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26624132373614 + 5*z**3 - 26624132373614.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10019240204 + 10019240204 - 76*c**2.\nAnswer: -76*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1927\/5 - -5786\/15. Let j = -6\/7 - -45\/28. Which is the fourth smallest value? (a) 0 (b) j (c) k (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/4)\/((-15)\/(-10)))\/(14\/(-476)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11943*n**2 + 4*n - 7. Let z(l) = -l**2. What is j(z(u))?\nAnswer: 11943*u**4 - 4*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 200*m**4 + 2795*m**3 + 13920*m**2 - 9360*m - 190080 = 0. Calculate m.\nAnswer: -12, -11, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqllqlqqqlqqllqqqqq. What is prob of picking 1 q and 2 l?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(4\/(-14) - 3861\/(-13293)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msv when three letters picked without replacement from {s: 3, v: 2, m: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 254022797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 86\/(0\/3 + -2). Let g = v + 31. Let i = g - -20. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(14) + sqrt(42)\/sqrt(3)*-4 - sqrt(14)))\/(5*sqrt(1008)*-4).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 28. Let d be (3 + (1 - 4))\/2. Let r = d - -16. What is the remainder when r is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 22 + 187 = 0. Let f be (-693)\/(-36) + (c\/12 - -1). Suppose 0 = -4*x + 3*d + 117, -85 = -3*x - d + f. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402442 times -38?\nAnswer: 15292796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.45342 millimeters to micrometers.\nAnswer: 73453.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -14500\nAnswer: -9\/3625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 2*k**2 - k + 12. Suppose -3*n + 4*n - 4*p + 3 = 0, 3*n - 25 = -5*p. What is the hundreds digit of m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) 6 (d) 3\/8915 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518164 is divided by 353?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -4*s**2 - 119. Let h(y) be the third derivative of -y**5\/30 - y**2. What is h(v(l))?\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.612499 minus 3459672?\nAnswer: -3459671.387501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z - 16 = -0*j, 3*z = j + 12. Let r = 40 + -27. Suppose -c - 5*l + r = -j*c, -3*l - 52 = -4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 3*b + 2. Let x be c(-3). Let n(u) = -14*u**x - 15*u + 6 - 8 - 11 - u**3. What is the tens digit of n(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**4 + 0 + 10\/3*s**5 + 0*s + 4\/3*s**2 + 6*s**3 = 0. What is s?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 108, -2563.\nAnswer: -2563, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1555248 divided by -48\nAnswer: 32401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Find the third derivative of 4*m**6 - 2*m**3 + 2*m**2 + 2*m**n + 2*m**6 wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 33.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7*p + 4*p + 4, -2*w = p - 13. Let v be 9\/(-27) - 350\/(-6). Suppose -w*l + 57 = -v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2205 (b) 7 (c) 0.4 (d) 0.2 (e) -9 (f) -4\/3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -949 + 944. Which is the closest to 1? (a) 2 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 4)*(50*h - 14*h + 6*h**2 - 26*h) as u*h + d*h**2 + o and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 881128125*f**4 + 86350423500*f**3 + 2115575618630*f**2 - 318732260*f + 12005.\nAnswer: 5*(f + 49)**2*(13275*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(-3 + 75\/27). Suppose -s*a = 3*a - 180. What is the smallest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.20787 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j = 43*j - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g**2 - 11*g - 7. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*x + 2803 = -109*x + 15733 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361.143 - 328.7731. Let v = b - 30.70921. Let k = 1.66 - v. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32255)\/(-1) - (2 - -5). Suppose 5*z = s + z - 8071, 4*z = 4*s - a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 7. Suppose 40 = 4*x + 2*b, -2*b = -5*x + 37 - 5. Suppose -6*n = -x*n - 8. Let a be h(n). Sort a, 4, -1 in decreasing order.\nAnswer: 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 130 = 106, 2*j - 8 = 17*y + 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.91 - 148.09. Let i = w - -150. Suppose 3*g = 3*p - 12, g + 5 = -2*p + 7. Which is the second smallest value? (a) p (b) 3 (c) -2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -525, 1\/2, 1, 0.3, -10159\/8 in descending order.\nAnswer: 1, 1\/2, 0.3, -525, -10159\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a)**(-2\/21)\/(a\/(((a\/a**(-3\/10))\/a)\/a))**(-36) assuming a is positive.\nAnswer: a**(6536\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 35134?\nAnswer: 210804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.08 rounded to the nearest integer?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 419079097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 15*a + a - 17*a + 35 = 6*j, 2*j = 3*a - 37 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*-1*(-6)\/60.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76630, -153250, -229872, -306496, -383122, -459750, -536380?\n\"Answer: -k**2 - 76617*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)**26*(n**(1\/2))**30)\/(((n\/(n**(3\/2)*n))\/((n\/(n\/n**(-4)))\/n))\/((n**1*n)\/((((n*n\/n**(-4))\/n*n)\/n)\/n*n))) assuming n is positive.\nAnswer: n**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42787, -85365, -127753, -169945, -211935, -253717, -295285?\n\"Answer: j**3 + 89*j**2 - 42852*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16 and -39\/1810.\nAnswer: 14480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-7.836\nAnswer: 3.1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(243))**2 + -4 + (sqrt(108) + sqrt(108) + 1)**2.\nAnswer: 6*sqrt(3) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1)*(-20)\/60*6\/(-146).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158815 and 15950550.\nAnswer: 366862650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(114) - (sqrt(114) + sqrt(114)*1*6))\/(4*sqrt(6)*1) + 1) + 1 + 4 + -1.\nAnswer: 3 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t + 58*t = 4*g - 2627, 4*g + 4*t - 2628 = 0. Solve -g*v + 659*v = 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y - 3*y)*(-1497*y + 561*y + 691*y + (-1 + 1 + 2*y)*(-1 - 1 + 0)) + (2 + 0 - 1)*(-2*y**2 - y**2 + 2*y**2).\nAnswer: -499*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1 - -2) + -1)\/(1\/10). Suppose 0 = 23*f - d*f - 6. What is the second biggest value in -1\/3, 0.4, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7369 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-1 - (-44)\/4). Which is smaller: 9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 - 8*z. Let t be q(-7). Suppose 4*a - t = -5*s, -a + 0*a = -2*s + 8. Solve 4*k - 4 = -5*n, -s*k - 2*k - 2*n + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 683 = 5*p - 43*v, 8*v = -p - 144 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 64*t**3 + 151599776*t**2 + 75799876*t + 9474984 = 0.\nAnswer: -2368746, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 100*h + 1783. Let b be p(-17). Solve -6*m - b = -83 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -0*v - 5*r + 21, 0 = -4*v - 7*r + 33 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 26*f + 0 + 0.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80643443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r*r)\/(r*(r**1*r)\/r)*(r\/r**(-11))\/(r*r**(-6)) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*g*l**3 - 67*g*l**2 - g wrt l?\nAnswer: 522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = z - 178, 5*j + 3*z + 840 = -2*z. Let v = -141 - j. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 68 = -52*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y. Let l(a) = 7*a**2 - 5*a - 6. Let m(c) = 6*g(c) + l(c). Find j, given that m(j) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 28. Let t = y - 13. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1*sqrt(324) - sqrt(324)))\/(sqrt(300)*-2 + sqrt(972) + sqrt(972) + sqrt(972)*2))**2.\nAnswer: 972\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(-4\/5))**(-3\/4)*(((i\/(i\/i**(-4)))\/i)\/((i**(1\/2)\/i)\/i))\/(i\/(i\/(i\/i**0)))**(2\/59) assuming i is positive.\nAnswer: i**(-9717\/2950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1415 - 829. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5 + 1. Let h(b) = -2*b + 14. Let w be h(6). Suppose c - w = -g, g - 4*c + 3*c - 10 = 0. What is the remainder when g is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 156, 1, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:24 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 142932*z - 285857. Determine o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 196*v + 50. Let p be s(42). Is 2989 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -4.7. Let s = 3397 + -3399. What is the closest to -1 in q, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -7*w**3\/3 + 288. Let j(o) be the second derivative of 0*o**2 + 1\/3*o**3 + 2*o + 0. Determine j(p(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -4*g + 2*k, -10 = -2*g + 4*k. Let t(j) = 25*j**2 - 2*j + 1. Let h be t(g). Calculate the highest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 4. Let y(n) = -n + 5. Let q be y(-4). Let r be v(q). Let k be r\/3*(-1)\/5. Which is the third biggest value? (a) -2\/3 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnyyynn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -3.661, 5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.4, 6\/359, 5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35032, -35077, -35122, -35167, -35212, -35257?\n\"Answer: -45*a - 34987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose -3*k - 5 = -4*w - 40, b = -2*k - 2*w. Solve 0 = 5*u + 4*t - k, 3*t = -4*u + 2*t + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 18220 = -26*t. List the prime factors of t.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*q + f + 139798, 3*q = -3*f + 209697. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 - 21. Let j(l) = -112*l. What is j(b(u))?\nAnswer: 896*u**2 + 2352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -7*m**2\/2 - 48*m + 11. Let p be b(-7). Solve 4 = -3*h + p, -3*k - 7 = -5*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 10 + 10 = 0. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 - 2*u + 3. Let o be z(-3). Let b be (-47)\/o + 4\/(-18). Suppose b*a = 3*a + 108. What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {w: 4, z: 2, l: 3, m: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4224025 divided by 5.\nAnswer: 844805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5470540 is divided by 57584?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z - 5*y - 47 = 84*z, -28 = 5*z + 2*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*g + 7, -2*g - 13 - 7 = 11*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 11:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -705, -601, -445, -237?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 2. Let s be k(-5). Let w be 18\/1*2\/s. Let u = w + -6. Let r(i) = i - 3. Calculate r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eberrfeeefbf. Give prob of sequence eebf.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(20\/25)*1188\/(-405).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 30 - 7*z**2 + z**2 + 0*z**2 + 7*z**2 - 17*z = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20410 - -39700. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from bbbzblzrbrrb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -15521, 2 in increasing order.\nAnswer: -15521, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4)*72\/15)\/(-1). Let q = 38\/3 + g. Let k be (-3)\/54*(2\/1 + -6). Which is the nearest to 0.1? (a) q (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -120201003100 (base 4) to base 10\nAnswer: -6426832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1753 - 1391 = -8*q. Let u = 7 - 4. Suppose 0*k + q = u*k. List the prime factors of k.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 13*l - 15. Let a be d(-13). Let b(g) = -g**2 + 1. Let v(w) = -9*w**2 + 3. Let z(t) = a*b(t) + 5*v(t). Let h(n) = 2*n. Determine z(h(s)).\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 25*u**3 - 13)*(-2*u**2 - u + u) - 8*u**4 + 8*u**4 - 13*u**5.\nAnswer: 37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -2.200036. What is n rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 0. Let m(k) = -5*k + 175. Let i be m(18). Calculate the greatest common divisor of s and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*h + h + 208, 0 = 4*m - 16. Let b be 9\/(-2)*16128\/h. Calculate the highest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3125 is divided by 143.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11817.67 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6054 divide 2478804246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 36 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/132*46\/1. Sort -7, z, 4.\nAnswer: -7, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/2*((-1100)\/(-66))\/25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -86. Let i(v) be the second derivative of 0*v**2 + 0*v**3 + v - 1\/6*v**4 + s. Calculate i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 - 411*t**4 + 1704*t**3 + 1644*t**2 - 6768*t = 0.\nAnswer: -141, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86660, 173096, 259090, 344420, 428864, 512200?\nAnswer: 594206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/126*(-377)\/(-13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 5*i - 28 + 10, 4*i - 6 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -w - 15, -14 = -3*w + j - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 104*d**2 - 11743*d + 56. Calculate k(113).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 80, -1, -609, -3 in descending order.\nAnswer: 80, 6, 3, -1, -3, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20416352*n + 739621796.\nAnswer: -20416352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173267681.\nAnswer: 41, 349, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2080 - 70. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 48. Suppose 5*u = 5*b - 130, 16 = -3*u + 4*b - r. Let v = -18 - u. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.615317 times 3\nAnswer: 37.845951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 38361*r**2 + 210*r - 2. What is the hundreds digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103*d**2*o + 8*d**2 - 13*d wrt o.\nAnswer: -103*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 7. Let j = k - -40. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.46 (b) 49.78 (c) -2\/11 (d) 8 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2. Let x be q(-2). Find the first derivative of 0 + 5 - 4*s**2 + x + 2*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:21 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1902, 1269, 328, -921, -2478, -4343, -6516?\nAnswer: -8997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 117 = 2*a, -u + 4*a = -16 + 163. Let l = u - -123. Let x = -0.1 + -2.9. What is the nearest to x in 4, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j + 4*i - 4, 3 = -3*i. Solve -j*b + 15*b = -44 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -97. Let f be (i - 1)*(4 - 1)*1. Suppose 8*l - 21 = f. Solve -2*n - 25 = l*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*l - 3*l - 17, -i + 21 = -4*l. Let b(m) = -m**2 - 4*m - 5. Determine b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328 and 16328?\nAnswer: 522496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 458675 and 29310643?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/199616 and -65\/32.\nAnswer: 199616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21889297.\nAnswer: 21889297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.027 (c) 1.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3*l - 11*l)*(6*l**3 - 14*l**3 - 18*l**3) in the form i*l**3 + m*l**2 + n + r*l + t*l**4 and give t.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -16. Let i = u - 11. Which is the nearest to i? (a) -2\/7 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-8 - -17 - 8) - (-21 + 28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-2 + 39\/(2574\/(-44)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, w: 7}. What is prob of picking 1 w and 2 q?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 1 - 5)*(82*y - 42*y - 24*y) to b*y + l and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 7)*(6 - 4 - 1 + (-1 + 0 + 2)*(-1 - 3 + 5))*(-1 - 3 + 3)*(-2*a + 5 - 5) in the form z + v*a and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -1398\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 38*v + 12 - 13 + 41 - 40.\nAnswer: -49*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 677 in 0.2, 0.3, -0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 25 - 4*i**3 - 44 in the form d*i**2 + w*i + n*i**3 + p and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.077234km?\nAnswer: 8077234000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11944 + 11949. Which is the biggest value? (a) 0.4 (b) k (c) 6 (d) 87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:45 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + u**2. Let n(p) = -p**3 - p**2. Calculate -d(z) - 2*n(z).\nAnswer: 4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 4*j + 5. Let o be k(4). Let v be 14\/10 - 2\/o. Suppose -v = -r + 2. What is the nearest to -2 in -3\/7, r, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11343*x + 11336*x - 22681*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -1358, -3017, -5330, -8291, -11894, -16133, -21002?\nAnswer: -26495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxyyxyyxyyxyyxyyx. Give prob of picking 2 y.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f = -78*f + 112. Solve -z + 2*z - 1 = -3*h, -h = f*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k - 3. Let h(y) = -3*y - 10. Let g(p) = -5*p - 15. Let z be 4\/(4\/(-7)) - 1. Let a(j) = z*h(j) + 5*g(j). Let f be a(9). Calculate i(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*3)*4 + 5 - (2*sqrt(3840))\/(sqrt(36)\/sqrt(3)*-3).\nAnswer: 5 + 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -100 + 60 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5595 = -15*a + 7185. What is the remainder when a is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let d be (-10)\/4*-10*(-176)\/(-550). Calculate the greatest common divisor of d and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 33*u - 4550 = 0. Let o = -127 + u. What is the greatest common factor of o and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17175, 39129, 75711, 126915, 192735, 273165?\n\"Answer: -u**3 + 7320*u**2 + u + 9855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1975, -2426, -2715, -2842, -2807?\n\"Answer: 81*x**2 - 694*x - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 4 (c) 263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 - -2) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:27 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 83*x - 9. What is b(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -8. Let c be 10\/(-3)*o\/4. Sort 4, c, 0.\nAnswer: 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/6 + -3)*(-15)\/(-35). Which is the closest to 3? (a) t (b) 2\/11 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**5 + 145*m**4 - 940*m**3 - 2020*m**2 + 18240*m + 34560 = 0.\nAnswer: -3, -2, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, l: 8}. What is prob of sequence eee?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(1 + (-3)\/(-6)). Let g = 9 - 6. Let h = o + g. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, x: 5, o: 8}. Give prob of picking 3 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = o. Let w(q) = -o*q + 3*q + 2*q. Let j(f) = -99*f**2 + 2575*f**2 - 2474*f**2. Give j(w(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 times 0.267?\nAnswer: 0.008811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c79da - -2?\nAnswer: -c79d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c + 2163. Let b(f) = f. Give b(h(o)).\nAnswer: -5*o + 2163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 7945852*n + 23837520 = 0. Calculate n.\nAnswer: 3, 1986460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 760*h**2 - 255*h - 467306.\nAnswer: 1520*h - 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -157, -233, -305, -373?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -342 (b) -5\/7 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 2 d when four letters picked without replacement from {k: 2, x: 2, d: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -2.\nAnswer: -26, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 4*n**2 + 2*n - 7. Let w be v(-5). Suppose 6*c - w = 2*c. Let y(x) = 4*x**2 + 3*x + 1. Let g(l) = 3*l**2 + 2*l. Give c*y(r) - 3*g(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 0.139. Let m = -833.6 + 833.609033. Let v = o + m. Round v to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 4*y**2 + 5*y**2 + 4*y**2 + y**2 to r + u*y**2 + i*y and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 + -5.2999655. What is g rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -379*i**3 + 57*i**2 + 100*i. Let w be u(11). Round w to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 - 5.21. Let r = 0.09 - u. Sort -2\/5, r, -2 in ascending order.\nAnswer: -2, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -992*g**3 - 325*g**2 + 2.\nAnswer: -5952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3114009 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17002 or -17270?\nAnswer: -17002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38564 - 18910. What is the highest common divisor of m and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 3) + 0)*5\/(-10). Let q(w) = 7*w + 3 + 4 - 7 + v. What are the prime factors of q(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 432, -2 in descending order.\nAnswer: 432, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o**4 - 6*o**4 + 3*o**4 + (3*o**3 + 0*o**3 - 4*o**3)*(-o - o + o) + o**3 - 2*o**3 - 57*o**4 + 7*o**3 - o**3.\nAnswer: -50*o**4 + 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 116 = 7*j. Suppose 0 = 3*s - j + 2. Is s + -4*(-3)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 + w**5 - 2*w**5 - 2*w + (-2*w**3 + 2*w**3 + 2*w**5)*(0 + 4 - 1) - 3*w**3 + 3*w**5 + 3*w**3.\nAnswer: 13*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*h**3 + (-291 - 5*h + 291)*(9*h**2 - 15*h**2 + 4*h**2) + h**3 + 5*h**3 - 5*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 402631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*2*-11. Let z = y - 7. Let w = 9 - -10. What is the remainder when w is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2013, 3854, 5685, 7506, 9317, 11118?\n\"Answer: -5*u**2 + 1856*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + t - 6 = -3, -3*t = 3*v - 21. Let q(g) be the first derivative of -5 + 2\/7*g - 2\/7*g**3 + 2\/7*g**v. Suppose q(b) = 0. What is b?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/9)\/4*(-831)\/90302*-326.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1647674 by 46.\nAnswer: -35819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63325626 divided by -3015506.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11564?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g - 34 + 15 + 6. What is the units digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) 135 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 7*j**2 + 19*j + 4*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378708 = -21*d - 12*d. Round d to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 3*(-4 + 3). Let x = 22 + -12. What is the lowest common multiple of x and (1 + q)*(-8)\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**4 - 8*x**4 + 9*x**4 - 2*x**4 + 7*x**4 - 3*x**4 + (x**3 + 4 - 4)*(-5*x + 3*x + 0*x) + x**4 + 4 - 4 + 0*x**4 - 3*x**4 + 5*x**4.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*h + 2093 = 267*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 495 = 85 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:49 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/(g\/(g\/(g\/g**(3\/5)*g)))*g*g\/g**5*g*g**5*((g*g\/g**(-1\/3)*g)\/g)**(2\/7)\/(g**0)**(5\/7) assuming g is positive.\nAnswer: g**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345752232 divided by -72744?\nAnswer: -4753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(2\/(-23))*(-2)\/6. Is y at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, o: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3068 times 1135\nAnswer: 348.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = -5*z - 61, 25*z = 22*z - 3*o + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776 divided by -4?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjkwkjwjjjjjkjj. What is prob of picking 2 j and 2 k?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*p - 126*p - 1155*p + 401*p.\nAnswer: -1975*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0832357124 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 37*g - 134. Let z be y(4). Solve -4*o = -8, -o - 3*o = 2*l - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3055, 9274, 18653, 31192, 46891, 65750?\n\"Answer: 1580*f**2 + 1479*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 899 + -863. Calculate the remainder when 1402 is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 1. Let t be s(2). What is the third derivative of 9*d**2 + 27*d**3 + 3*d**t - 5*d**3 + d**2 wrt d?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003215912609 rounded to 5 dps?\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5\/3 + 843*h**4 + 333742*h**3\/3 - 571430*h**2 + 2417233*h\/3 - 346405 = 0.\nAnswer: -2389, -145, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6123*s - 182521 = -531532 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082248017 - 31.4.\nAnswer: -31.317751983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 16, b: 1, o: 1}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.23 + -13.1. Put z, 0, -6\/5 in increasing order.\nAnswer: -6\/5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 11\/24*z**4 + 0 + 0*z + 15*z**2 - 1\/6*z**3. Differentiate a(i) with respect to i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - 2*l + 3. Let y(o) = -6*o**3 - 4*o**2 - o - 8. Let c(p) = 5*p**3 + 3*p**2 + 7. Let h(u) = 4*c(u) + 3*y(u). Give 2*h(s) - 3*j(s).\nAnswer: s**3 - 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.4, 5, -573\/5 in descending order.\nAnswer: 5, 5\/4, -0.4, -573\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20856.\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-4)*(-6*(-42)\/108 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761417159.\nAnswer: 3, 947, 619999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 18*h**2 - 18*h - 11. Suppose 48 = -4*v - 2*j - 3*j, 3*v + 39 = -3*j. Let x be q(v). Suppose x*z + 611 = 1961. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -4\/15 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6369015143822 + 6369045585240.00000125. Let i = -30441370 + t. Let z = 48 - i. What is z rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/2 - 63*n**2\/4 + 121*n\/2 - 105\/4 = 0. What is n?\nAnswer: -35, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*11\/(1287\/(-182))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 1, l: 1, x: 2, f: 14, s: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 63. Let r be l(-18). Let c be r\/(-3)*3\/((-144)\/(-4)). Find o, given that -c*o**5 + 0*o + 9\/4*o**4 + 0 + 3\/4*o**2 - 9\/4*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183418a (base 11) in base 4?\nAnswer: 23313020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 20\/(-4)) + 4. Let z be (9\/(-10))\/(l\/(-10)). Which is the second smallest value? (a) -12 (b) z (c) -2\/7 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -383?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 2, j: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92502.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313002031 (base 5) to base 4.\nAnswer: 30121201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 2, e: 7, f: 7}. What is prob of sequence fue?\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*o - 40, 5*o = 3*p + 16 + 56. Let h = o - 5. List the prime factors of h - (3 - 2 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227113365 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30446, -60939, -91556, -122297, -153162, -184151?\nAnswer: -215264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 1. Let k(c) = -45*c + 60. Determine 25*b(h) + k(h).\nAnswer: 5*h + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 77, 80, 83, 86?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:04 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*25\/40*16\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(2*l - 3*l + 2*l) + (-7 + 2 + 1)*(1 + l - 1))*(1 + 1 + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 7097651.\nAnswer: -14\/7097651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 4. Suppose n - d = 1. Suppose 2*p - 3*f - 23 = 29, -n*f = p - 12. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11)\/q)**(5\/6)*(((q*q**1)\/q*q*q*q)\/q)**(-1\/55))**41 assuming q is positive.\nAnswer: q**(-14063\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 2*a**3 - 2*a**3 + 2*a**2.\nAnswer: -7*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4696 + 4380 = 4*k, -4*k + 9070 = z. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, q: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.15596 rounded to 2 dps?\nAnswer: -19.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 313 + -5?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -36 - (1 - (8 - 8)) - -10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + 4*v - 2, -f + 5 = -v. Suppose -29 = -3*p - f*a, 3*a - 4 - 2 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1773 and 5321\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 49*h**5 + 2422*h**4 - 29739*h**3 - 318952*h**2 - 406660*h - 139200 = 0.\nAnswer: -58, -6, -5\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*f + 0*f - 5*f)*(2 + 2 - 5) - 8 - 4*f + 8)*(-3 + 9 + 1 - 2 + 1 + 2 + (0 + 5 - 3)*(1 + 0 - 2) - 133 + 102 + 94) to the form d + t*f and give t.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 23659?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5352361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -14 + 6 + 14 - 33.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 32*p**2 - 99*p + 13. Let c be i(3). Let s(f) be the third derivative of 0*f**c + 0*f**3 - 9*f**2 + 1\/20*f**6 + 0 + 1\/30*f**5 + 0*f. Factor s(x).\nAnswer: 2*x**2*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m + 0*m)*(-2 + 1 - 2)*(-m - m - 2*m)*(-3*m**2 + m**2 - 6*m**2) as f*m**2 + u + t*m**4 + o*m + x*m**3 and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/8 + 547*a**3\/2 - 897627*a**2\/4 + 163667323*a\/2 - 89526025681\/8 = 0. Calculate a.\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 0*v + 10 + 4. Let s be o(12). Solve -s*d = -d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474\/(-10)*(-357 - 29\/((-406)\/(-112)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*p**3 + 364 wrt p.\nAnswer: -930*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -32. Find the common denominator of 1\/24 and 5\/w + 35\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 + 237. Suppose -d = 0, q*a = 6*d - 5*d + 1497. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 359 - -919?\nAnswer: c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(68)\/sqrt(4) - (4*1*sqrt(119))\/sqrt(7).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.065, -1\/3 in ascending order.\nAnswer: -1\/3, -0.3, -0.065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 54414 - 9410. What are the prime factors of l?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 48.7\nAnswer: 146.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026616 (base 12) in base 14?\nAnswer: -591586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38.4 from 20.14565.\nAnswer: 58.54565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.632 - 0.02\nAnswer: 2.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - -2) + -8 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.04458927\nAnswer: 0.004458927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 l when three letters picked without replacement from slsysccyyoyiiyysl.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 8*x**2 + 0*x + 0*x**3 + 26 + 1\/6*x**4. Let d(w) be the second derivative of q(w). Let h(s) = -2*s. Calculate h(d(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1092.75?\nAnswer: -4371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 8*r**3 - 11*r**3 - 12*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8257 + 8994. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -2\/11, 0.18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6\/5, 17529, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 23*w**2 + 42*w - 367. Give j(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1482245988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-35760)\/720 - ((-36)\/54 + (4 - 2))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -20*w**3 - 13675*w**2 - 104740*w + 27040 = 0.\nAnswer: -676, -8, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1361332\nAnswer: 1361332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 21 (c) -1\/3 (d) -2 (e) 0.3 (f) 11 (g) 0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -13*b**6\/360 - 4*b**3\/3 + 17. Let c(f) be the third derivative of v(f). Let w(y) = -y**2. Give w(c(p)).\nAnswer: -169*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-9 - (-5 + 6)) + 16 + 5 + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -37*l - 457. What is the units digit of i(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(17)*-4 + sqrt(68)\/(sqrt(500)\/sqrt(5)))**2.\nAnswer: 173417\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-371)\/(-53) - (-12 - -1))\/(32\/64)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1672654568 to the nearest integer?\nAnswer: 40898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 5*d + 3*z - 285 = 0, -4*z + 110 = d. Calculate the remainder when d is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.39643 * -3.\nAnswer: 7.18929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1942343, -3884703, -5827071, -7769447, -9711831, -11654223, -13596623?\n\"Answer: -4*u**2 - 1942348*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -85*l - 6. Let w(s) = 40*s + 3. What is 3*k(v) + 5*w(v)?\nAnswer: -55*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.986567 rounded to three decimal places?\nAnswer: -31.987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5013 + 4.938. Round z to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605997495?\nAnswer: 3, 5, 19, 43, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*t - 24860 - 503890. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shrcrscass. What is prob of sequence rssh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.9 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = 2. Suppose -275982 = p*n + n. Let c = -141994 - n. What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h - 18. Let o be z(-9). Is 2 a factor of 4*(o\/(-6))\/((-9)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 17 + 14*n**2 + 4 + 13*n**4 + 3 - 3*n**3 as i*n + k*n**4 + r + x*n**2 + a*n**3 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -17 + 0*o - 2\/3*o**3 + 0*o**2. Let h(t) be the second derivative of t**4\/4 + 7*t. Give v(h(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1102*c**2 - 694*c**2 + 95*c**2 as l*c**2 + h + w*c and give l.\nAnswer: -1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -197202454532?\nAnswer: -197202454535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*140\/60\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -72, -178, -316, -480, -664, -862?\n\"Answer: i**3 - 25*i**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/21))\/(f*f**(-23))*((((f\/((f*f*f**(-7\/8)\/f*f*f)\/f))\/f)\/f)\/f)\/f**(-4\/3) assuming f is positive.\nAnswer: f**(1193\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -23 + 3. Let j = 100 - 98. Suppose -2*o + 4 = -j*k, 5*o = o + k + p. Which is the closest to o? (a) 3 (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57562, 115122, 172682, 230242, 287802?\nAnswer: 345362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 697*c**3 + 7177*c**2 + 4*c + 252186073 wrt c?\nAnswer: 2091*c**2 + 14354*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3403016 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186562 is divided by 484?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 372422, -3 in ascending order.\nAnswer: -48, -3, 372422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36326373 is divided by 36326365.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10788 and 5.\nAnswer: 53940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3 + 5*z**2\/2 + z - 19. What is the smallest common multiple of b(-2) and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -100*b**5 - 55*b**4 + 69980*b**3 - 156770*b**2 + 104320*b - 17375 = 0.\nAnswer: -139\/5, 1\/4, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14282, -14284, -14286?\n\"Answer: -2*b - 14280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -22 + 16 + 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*v + u + 18, -4*v = -u - 18. Let b be ((-62)\/v)\/((-5)\/10). Find the third derivative of 3*n**4 - 12*n**2 + 31*n**3 - b*n**3 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120704699 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*r = 9425, -3*w + 4*r = r - 5643. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 11*y**3 - 174.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3 (c) -16\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 53, 61, 31, -55, -215, -467?\n\"Answer: -3*l**3 + 8*l**2 + 25*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-600)*10\/4*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = 0, 291*u - 287*u + 63 = -15*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m**2\/2 - 7*m\/2 = 0. What is m?\nAnswer: -7\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1 + sqrt(300) + -5 + sqrt(300) + -1*(-1 + sqrt(300)))*3 + -2) + 4)**2.\nAnswer: -2160*sqrt(3) + 11124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*q + 10 = 0, -3 + 15 = -4*t - 4*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 16*p**2 + 9*p + 92. What is d(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j**2 - 1187*j - 3497. Calculate o(-66).\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 45. Sort r, -16, 0.5 in ascending order.\nAnswer: -16, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223021123 + 3?\nAnswer: -1223021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2079 + 6569 = -8648*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 1. Let k(c) = -6*c**3 + 2*c**2 + 3*c + 10. Determine -k(b) + 5*n(b).\nAnswer: b**3 - 2*b**2 - 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {w: 1, m: 1, c: 1, b: 5, o: 4}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14863678 by -17.\nAnswer: -874334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100011011100 (base 2) in base 5?\nAnswer: -12220311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233029560 divided by 40.\nAnswer: 5825739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 283345472*z\/5 - 20071164125725696\/5.\nAnswer: -(z - 141672736)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 86. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3819 + 3819.1. Put 0.2, v, 1\/71 in increasing order.\nAnswer: 1\/71, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634 - 259*x - 634.\nAnswer: -259*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 473*p**2. Let m(b) = -4952*b**2. Give a(m(o)).\nAnswer: 11599049792*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let p(o) = 6*o**2 + 10*o. Let z(x) = 2*x**2 + 3*x. Let i(v) = q*p(v) + 7*z(v). What is the units digit of i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 611 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 469.44188 + -469.4. What is s rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40449255, -161797018, -364043291, -647188074, -1011231367?\n\"Answer: -40449255*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -21*b - 3*l - 113381, -5*l = -b + 28358. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:47 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:46 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 7. Let v(g) = g + 2. Give v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (22 - 2)) + 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2829828, 5659523, 8489218?\n\"Answer: 2829695*g + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(-1\/4))**37\/(i**(-5)*i**(-5\/4)*(i**(-1\/3))**1) assuming i is positive.\nAnswer: i**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 136*d**2 - 1929*d - 1164. Give h(149).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkh when four letters picked without replacement from hhkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 4*v + 4. Let u be b(-2). Let x(c) = 24*c**2. Let k be (0 - -2)\/(-2 - 0). Let r be x(k). Calculate the highest common factor of u and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118.645 + -118.7. What is the nearest to -2\/5 in -0.3, 0.1, -4, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 27 = -5*j, -2*x - 14 = -5*j + 20. Let c = -7 - x. Let y(b) = b - 6. Calculate y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 1. Let o be d(-7). Let f = 188 + -163. Let g(j) = -3*j + 150. Let h be g(f). What is the greatest common factor of h and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 - 5*o**2 + 14*o + 5. Let b(h) = -12*h**3 + 7*h**2 - 21*h - 7. What is 5*b(y) + 7*r(y)?\nAnswer: -4*y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2, 0, 4, 1, 3.\nAnswer: 0, 1, 2, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/40)\/(36\/(-384)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n. Let g(y) = -7*y - 1. Let m(j) = -6*c(j) - 3*g(j). Let x be 1 + 0 + 4 + -7. Let d be m(x). Sort -5, -1, d in ascending order.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 11*g + g)*(g - 6*g + 4*g)*(-2*g**2 + g**2 + 2*g**2).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 - a. Let b be w(-2). Suppose k + 44 = -b. Is 12\/5*k\/(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:39 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1688 - 1432?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 + 3211\/8. Let x = -839 + 837. Find the common denominator of l and (-522)\/(-18)*x\/(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10577\/5 - 21363\/10. Let f = h + 41\/2. Let a = f + 83\/20. Is a at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 50*x**2 + 2*x - 48. What is f(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d + 10. Suppose i - d*b + 2 = -7*b, -2*i + 21 = 3*b. What is the least common multiple of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.469 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929 + 987 = -81*h - 2048 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, m: 1, y: 8, h: 1, d: 5}. What is prob of sequence id?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1.2, 1, 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b + 3*b)*(1 + 1 - 5)*(20*b - 17*b + 23*b).\nAnswer: -546*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1351 - 2551. Round q to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2979*h - 842*h - 1746*h - 5111*h + 2423*h.\nAnswer: -8255*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 e, and 1 r when four letters picked without replacement from {r: 7, v: 3, y: 1, e: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in -1\/2, -1.3, -3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4429.617mg?\nAnswer: 4429617000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 35*f**4\/12 - 13*f**3\/6 - 5*f**2\/2 + f. Suppose 0 = 2*m - 73 + 87. Is x(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4543834357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 24*g - 4588.\nAnswer: 4*(g - 37)*(g + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63799 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - b + 2. Let m(j) = 3*j**3 - 273*j**2 + j - 2. Let z(q) = 3*d(q) + 3*m(q). Find l such that z(l) = 0.\nAnswer: -273, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 2 + 13 + 13 - 6 = 5*f - 0*f + 12*i, 2*i - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 - 7. Let v(d) = -d**2 + 1. Suppose 0 = -q + 9 - 23. Let j(b) = q*v(b) - 2*x(b). Let l(p) = p. What is j(l(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2 + 17. Suppose -v + h = 19. Let g = v + 20. Which is greater: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -30*q - 135. What is w(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + u + 3)*(1 + 0 + 1) - 4183*u - 4150*u + 8009*u to w*u + q and give w.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144466\/71 or -2?\nAnswer: -144466\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 188?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {w: 3, j: 1, l: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 6\/7*w**3 + 3\/7*w**4 + 9\/7 - 12\/7*w**2 - 6\/7*w = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215941.\nAnswer: 11, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, 0.4, -4\/3, 398, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -384 + 384. Let z(n) be the second derivative of -4*n + j*n**3 + 3*n**2 - 3\/10*n**5 + 0 + 0*n**4. What is the derivative of z(t) wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55799 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 119*a - 112*a**2 - 107*a + 110*a**2.\nAnswer: -2*a**2 - 248*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710979.\nAnswer: 1283, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18574861 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-5 - 9 - -3) + -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97625136*s**2 - 75950351*s wrt s.\nAnswer: -195250272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 3 - 88*k**2 + 8.\nAnswer: -88*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 5. Let n be l(1). Let r(s) be the second derivative of 0*s**3 - s + 0*s**2 + 0 - 1\/6*s**n. Let d(c) = -2*c**2. Determine r(d(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/108*1233)\/(22\/(264\/(-9))).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*v - 34*v + 25. Which is the closest to 1\/4? (a) -2 (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -513800*m**2*v - 14*m**2 - m*v - 122365784*v wrt m?\nAnswer: -1027600*m*v - 28*m - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-25))\/(1054\/(-340) + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*f - 28. Let q(u) = u. Let p(k) = -5*k - 6. Let h(z) = p(z) + 6*q(z). Let t be h(f). Sort t, -5, -4.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + 215. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104218 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2200311230413 + 4?\nAnswer: 2200311230422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63082237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5108008 (b) 0 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + 2 + 70*w**4)*(-4 + 5 + 0) - 4*w**4 + 4*w**4 + w**4.\nAnswer: 71*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 - -252. Suppose h*q + 7*q - 3*q = 0. Solve -i - 18 = 4*d, q*d - 6 = 4*d - 5*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9652.23 rounded to the nearest ten?\nAnswer: -9650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39611873*k**3 + 3005487*k.\nAnswer: -237671238*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 2)*(-h**2 - 9 + 3*h**3 + 9).\nAnswer: -12*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*1 + 5.\nAnswer: 5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11772530 and 7630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977 a factor of 565541666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*(-13 + 33). Suppose 0 = x*g - 40740 - 3165. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302110 (base 6) to base 15\nAnswer: 24a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/50 + 1 + 1494\/(-1950)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -9. Put b, -1, -3 in decreasing order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 9. What is the lowest common multiple of i and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 + j**4\/4 - j**3\/3 - 2*j**2. Is 22 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -374\/3, -2\/9, 2\/929, 174.\nAnswer: -374\/3, -2\/9, 2\/929, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 5*a = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*z**4 - 4*z**3 - 8421*z**2 - 240285*z - 10 wrt z.\nAnswer: 108*z**2 - 24*z - 16842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19470*c**2 + 18717*c**2 + 754*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.3 or -8561454?\nAnswer: -8561454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 57940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*j = 0, -2*j - 3*j = 0. Let b be (-14)\/((-84)\/(-48)*-2). Suppose 2*t = -2*k + 8, -t + b*k + 2 + 12 = s. Solve -r = -t*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365262.\nAnswer: 2, 3, 17, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 267\/(72090\/1080) + (-41)\/20*2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(98) + sqrt(98)*-3 + sqrt(98)))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365952729, 365952725, 365952717, 365952705, 365952689, 365952669?\nAnswer: 365952645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-36))\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19245 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111 (base 2) to base 16.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - 0.18. Sort l, -5, -0.8.\nAnswer: -5, -0.8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*a - 390359 - 30972 = 283693. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -561 + 945. Let y = s + -176. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 6810.987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4 + 2*x - 11*x + 2*x + 6*x. Determine c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -168.7. Let q = 0.1 + -1.4. What is the second smallest value in -3\/4, b, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 2\/3, 26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30.3. Which is the nearest to 0? (a) -1 (b) 0.9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 685, 698, 739, 814, 929, 1090, 1303, 1574?\n\"Answer: o**3 + 8*o**2 - 18*o + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/30 - n**4\/4 + 2*n**3\/3 - 8*n**2. Let q(t) = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -25. Let j be -5 + 180\/14 + 13\/91. Calculate the greatest common factor of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6320 times -0.4\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -16.19. Let t = i - -19. Which is smaller: 3\/5 or t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 - -260. What is the closest to t in 0.5, -0.09, -2\/39?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(203\/101 + -2). Let x = -34 - -35. Is x greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-2 + 3 + 1)*(0*x + x - 3*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-8105260.\nAnswer: -48631560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 7. Let m(c) = 2*c**2 - 3. Let a be m(-3). Suppose -z + a = 4*z. What is the remainder when z is divided by d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = 4*t, -2*t + 5*t + 2*d = 3. Suppose -c + 4*c + 4*j - 16 = 0, 4*c - 12 = 4*j. Let r be c\/(-10)*5\/17. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241755 - 247*o + 241755)*(-o + 3*o**2 + o**3 - 3*o**2).\nAnswer: -247*o**4 + 247*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**(-22))**(-29) assuming y is positive.\nAnswer: y**638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287*n**5 - 109*n**2 - 2 wrt n?\nAnswer: -17220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.03 (b) -1\/3 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 1. Let c(z) = -z. Suppose y = -6*y + 28. Let i(s) = y*c(s) + w(s). What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*b = -39, 10*c - 137928*b = -137924*b + 48 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61009, 63891, 66773?\nAnswer: 69655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/208 and 107\/24.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 2534*d**2 + 1607820*d + 3205512 = 0.\nAnswer: -1266, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 54*l**2 - 12*l**2 + 2*l**3 - 404*l**2 to the form i*l**3 + r + z*l**2 + b*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -6. Let r(i) = i**2 + i + 6. Let f be r(0). Let w(s) = 7*s**2 - 2*s + 6. Let a(m) = 15*m**2 - 4*m + 13. Determine f*a(l) + h*w(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/10)\/(((-224)\/(-28))\/200)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172150 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3677*c = -3*q + 3679*c + 88, -6*q + 179 = -c for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275d6 (base 15) to base 14.\nAnswer: -33dc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17043 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*q - 900*q - 4212 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1380148 and 29\/2545208.\nAnswer: 195981016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -525.65894 rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from smqasqsmsam?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002276159 to six dps.\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/10 - g**4\/6 - g**2. Suppose 5*l = 2*u + 6, 5*l + 8 = -3*u + 7*u. Let p(y) = 11*y**2 + 7*y. Determine u*s(x) + 4*p(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 w when three letters picked without replacement from {w: 1, r: 17, g: 1}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 8*z**2 + 8 - 3*z**2 - 3*z**2 in the form y*z**2 + f*z + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1424 + 1451. Solve -7*q + 3*x + l = -3*q, -5*q + 4*x = -35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m - 7*m**2 - 94*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -16*v. Solve v*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 31*b - 23. Let x be o(-14). Suppose r = 2*h + 5, -4*h - 64 = 5*r - x. Sort 1\/4, -9.8, r in ascending order.\nAnswer: -9.8, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 + 3*v + 3. Let p(n) = -627*n**3 - 6*n**2 - 9*n - 4947. Let b(y) = -3*i(y) - p(y). What is the derivative of b(f) wrt f?\nAnswer: 1872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujuuuuuuuuuujuuuj. Give prob of picking 2 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 8, d: 2, n: 1, o: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80842 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) - 1\/15. Let p = -4\/90089 - 10990198\/14864685. Let y = p - -4\/55. Which is the smallest value? (a) k (b) y (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 135 = -5*n, 3*n - 7*n = -3*z + 46. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.431 + -5.831. Sort t, 1\/5, -140.\nAnswer: -140, t, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(-5 - 6*t**2 + 5) + 0*t**3 + 3*t**3 - t**3 + (-2*t - 4 + 4)*(4*t**2 + 3*t**2 - 5*t**2) + 0*t**3 - t**3 + 0*t**3 - t**3 + 2*t - 2*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i - 3*i - 2*i + 5*i. Let q be h(2). Suppose -36 = -3*z + q. What is the greatest common factor of z and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 4*x**3 - 2*x**4)*(21*x + 733 - 733).\nAnswer: -42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1632814.65000208 - -1632782.65. Let y = 73 + -41. Let n = s + y. What is n rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1. Suppose 3*l + 4*t - 4 = 5*l, 2*t + 10 = -2*l. Let n(g) = -g**3 - 4*g**2 + 2*g - 7. Let i(z) = l*d(z) - n(z). Give i(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**3 + 3*j**3 + 12*j**3.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 3*n + 2. Suppose -2*i = -3*i - 4. Let h be f(i). What is the units digit of (12\/(-18))\/(h\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -43423*f**3 + 865*f**2 - 865*f. Let d(t) = -201*t**3 + 4*t**2 - 4*t. Calculate -865*d(x) + 4*z(x).\nAnswer: 173*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 7\/6 (c) 3 (d) 0.14 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254\/7 + 36. Which is the second smallest value? (a) j (b) 3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 28170*p + 1177848.\nAnswer: 3*(p + 42)*(p + 9348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 7 - 28 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-28))\/((-8)\/(-7)). Suppose -10 - 36 = 23*f. Which is the closest to -0.1? (a) j (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*a**2 - 2)*(2*a**3 - a**3 - 3*a**3) - 2*a**5 + a**5 + 3*a**5 + (-2*a - a + a)*(a**4 + 3*a**4 - 6*a**4))*(-49 + 87 - 130).\nAnswer: -184*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h + 96. Let x be n(16). Let p = 35 - x. Solve 4*w + 5*a = -p - 2, 0 = w + 4*a + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -6 - -5)*68. Let n = t - 251. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/40 + 3*r**5\/80 + r**4\/4 - r**3\/2 - 5*r + 1. Let n(b) be the first derivative of d(b). Factor n(j).\nAnswer: -3*j*(j - 2)*(j - 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x - 4. Let s be ((-5)\/3*-3)\/1. Give y(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6237.4 to the nearest ten.\nAnswer: -6240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugwdwguuhwz. Give prob of sequence dgh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vrvrqvrqrrqrvqvvrrqv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4199*n**4*z - 2*n**3*z + 2121*z + 4 wrt n.\nAnswer: 16796*n**3*z - 6*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h - 2451. Let w = h - -1596. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12311302.\nAnswer: 2, 23, 267637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1364812.\nAnswer: -7\/1364812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2079 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498720974 and 1.\nAnswer: 498720974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-371)\/(-159)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395754.\nAnswer: 2, 59, 79, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.47896892 and -0.17.\nAnswer: -5.64896892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 23b7902?\nAnswer: -23b7902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwffwf. What is prob of picking 1 w and 2 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -4273?\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k - 43\/6*k**3 - 36*k**2 - 23\/120*k**6 + 0*k**4 + 0 + 0*k**5. What is the derivative of v(g) wrt g?\nAnswer: -69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468 - 439 - 3*u**2 - 2*u**3 + 2*u**2.\nAnswer: -2*u**3 - u**2 - 907","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-4)\/2)\/(2\/(-2)). Let u = 0.52 + -0.82. Which is the closest to z? (a) -3\/7 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - -150. Calculate the greatest common divisor of n and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2107368, 4214734, 6322100, 8429466, 10536832?\n\"Answer: 2107366*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 115 + 115)*((0 + 4 + 2)*(-1 + 3 - 4) + 1 - 1 - 2 + (-2 - 4 + 5)*(3 + 1 - 3) - 3 + 0 + 2 - 2 - 1 + 2 - 5 + 3 + 3) in the form q*k + p and give q.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2 - 2*f - 16. Determine y(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 - 3*d**2 + 1. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (306*u + 518*u - 253*u)*((u**2 + 0*u**2 + u**2)*(-1 + 0 + 3) + (2 + u - 2)*(0*u + u + u)).\nAnswer: 3426*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132272, 270161, 408064, 545987, 683936, 821917, 959936?\n\"Answer: r**3 + r**2 + 137879*r - 5609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2 (base 14) in base 9?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/638 and 115\/6612.\nAnswer: 72732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giegitifgffitecgfifg. Give prob of sequence ee.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -4. What is the remainder when (-2 - -1)*-19 - 0 is divided by i\/21 + 51\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142599809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 2*l + 11. Give y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -23 + (89 - 25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 8*b + 27 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4377 or -8755\/2?\nAnswer: -4377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -23. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40079862 is divided by 2220.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**4))\/(f*f\/(f\/((f*f\/(f*f*(f\/(f**(-5)*f))\/f))\/f))*f))**(-3\/16)\/(f**1\/(f\/f**2)*f**(-2)*f*f**(-4\/9)) assuming f is positive.\nAnswer: f**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -40 - 45*b**4 - 117*b - 90*b**4 - 231*b**2 - 267*b**2 + 111*b**2 - 399*b**3 + 46.\nAnswer: -3*(b + 1)**3*(45*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117993.5 millimeters to nanometers.\nAnswer: 117993500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -136290, -272615, -408940, -545265, -681590?\n\"Answer: -136325*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -o + 2358, 2*c - 4704 = -2*o - 0*c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*n + 5*n = 2, 13 = 4*c - 5*n. Let v be 2\/(c\/(-6) + 0). Suppose 0 = v*b - 8*b + 32. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83636 is divided by 20899?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -683450 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 - 6*x + 2. Let o be q(-6). Suppose -33 = -k - o. Let y(l) = l**3 - 6*l**2 + 3*l - 2. Calculate the remainder when k is divided by y(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -14. Let r = l - -4. Which is the third biggest value? (a) -3\/4 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383254163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 35.7. Suppose -3*u - c = -5, 2*u - 3*u + 1 = c. What is the second biggest value in u, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 4*f**2 - f - 3. Is x(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814545189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -19a?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*-6)\/(sqrt(9) + sqrt(9)*1*3 + sqrt(9)) + sqrt(2) + (sqrt(72) - sqrt(2)) + -3 + -6*(-3 + sqrt(2)).\nAnswer: -6*sqrt(2)\/5 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w + 5, 4*w - 6 = -2*c. Suppose 5*z - 7 - 12 = l, z - 9 = -c*l. What is the first derivative of 2*y - y + l - 3*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 = 5*k + 2, -3*k + 22 = -4*o. Suppose -5*y + y - 2*g = -8, 0 = 5*y + 5*g. What is the highest common factor of k and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5864*d**3*q + 245*d**3 + 10 wrt q.\nAnswer: 5864*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**2 + 116*v - 531. What is the remainder when x(5) is divided by 52?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251831 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = 1 - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from mmrmxxxbrmx.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jdd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444392*r - 3831291*r - 13564150*r.\nAnswer: -17839833*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240 + 43*h + 240)*(2 + 1 - 1) + (2*h + 0*h + 0*h)*(1 + 1 - 3).\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 8*s**2 + 6*s + 7. What are the prime factors of o(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssnnnnnnnnssnnnnsnn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/2 in -2\/7, 189\/5, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, g: 1, o: 1, k: 1}. Give prob of sequence ikao.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 195.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 50470*j - 908453. Calculate k(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2)*104\/91. Suppose 4*m + l = -12, -15 = 3*m - 3*l - 6. Sort 2, f, m, -4 in ascending order.\nAnswer: -4, m, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1869, 3681, 5495, 7311?\nAnswer: 9129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 314 + 46. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175673751 to the power of 1\/2, to the nearest integer?\nAnswer: 78585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -387, -2556, -8451, -19938, -38883?\n\"Answer: -311*g**3 + 3*g**2 - g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -45*i**2 - 12553*i - 12546. Give r(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2619)\/679)\/((-5)\/35)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16898 is divided by 147?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 95*i**2 - 419*i + 26. Calculate u(-5).\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.005*0.0114\nAnswer: 0.022857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let o(u) = -104*u - 13 - 10 + 23. Let l(d) = d. Let g(b) = 130*l(b) + o(b). What is g(p(i))?\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4480 divided by -6\nAnswer: -2240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - 2*k - 5. Suppose z - 1 + 5 = 0. Let t be u(z). Let v be t\/(-4)*(-24)\/27. Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 229, 1, 26, -3, 2.\nAnswer: -4, -3, -1, 1, 2, 26, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2c (base 16) to base 8.\nAnswer: -5454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 45. Suppose -40 = 12*f - 160. Let q be y(f). Suppose -4 = l - q*l. Solve -o - l = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 37*q**2\/2 - q - 357. Determine n(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -19. Let a(j) = -j**2 - j. Let f(y) = y**3 - 4*y**2 - 3*y. Give o*f(n) + 3*a(n).\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035961 to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/1 + 12)*4\/12. Let x(z) be the second derivative of 0 + 0*z**2 - 1\/2*z**4 + 1\/5*z**q + 0*z**3 - 2*z. Find the third derivative of x(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12498*d**2 - 11*d + 1879*d**2 + 5*d + 6*d.\nAnswer: -10619*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16100 + -344403?\nAnswer: -325303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 467*k**2 - 48*k**3 - 6*k**4 + 4*k**4 - k - 466*k**2 + 170*k**3 in the form y*k**3 + x*k**2 + s*k + j*k**4 + c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.608 rounded to zero dps?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(51)\/(-3*sqrt(3)) + 0 + sqrt(153)\/((sqrt(108) + 3*sqrt(108))\/sqrt(12)))**2.\nAnswer: 17\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/3 + 3*y**2 + 3*y. Let d(v) = -v**3 - 22*v**2 - v + 40. Let q be d(-22). Suppose -q = -x - 57. What is t(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*1*sqrt(1088) + -5)**2.\nAnswer: -1200*sqrt(17) + 49085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 25*n**2 - 7*n + 22. Let b(z) = z**3 - 13*z**2 - 4*z + 11. Let d(i) = 7*b(i) - 4*c(i). What is the units digit of d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - sqrt(18))*4)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38285.286826401 + -0.3.\nAnswer: 38284.986826401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*t = -22, 2*s = 3*t + 19 + 8. Solve -s*v = -5*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 83. Let s = 13 - 13. Let n(a) = s*a + 0*a - a. What is n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 551*r + 8 = 555*r, -6 = 3*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5918 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -124) + (-2 - (1 + -1)). Suppose 0 = 4*f - 19 - j. What is the greatest common divisor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54224 = -24*c - 54368 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**3 - 2*q**2 - q. Let t(l) = l**2 - 9*l - 7. Let g be t(9). Let u = -5 - g. Suppose 0 = -4*b - 12, -3*b = 2*a + u*a + 13. Calculate o(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = 3*f + 26*q + 57, -5*q - 28 = 4*f + 64 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*q + 60, 22*d + 5*q = 23*d + 33. Let i(g) = -2*g**2 - 14*g + 21. Give i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 104. Let a = 246 + -231. Calculate the remainder when a is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -57504*x**2 + 9. Let w(j) = 57503*j**2 + j - 8. Let c(r) = 4*b(r) + 5*w(r). Let y be c(4). Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 85*a + 1032. Give h(-10).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 2*o - 83 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3126 = -11*q + 13*q, q + 5*r = 1572. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-1 - (-7 + -5 + 6 + 4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (24 + (-33 - -33))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = -c, 4*c = 2*k + k - 39. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/44)\/((-16)\/110).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 5 - 2*n - 5 as j*n + k and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -17967?\nAnswer: 17969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + 0.28. Let w = p - 0.189935. What is w rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-161)\/(-49) + 2\/(-7). Suppose 9 = -3*r + h. Let t(i) = -3*i + 3. Let y be t(2). Sort y, r, 3.\nAnswer: y, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126 + -31341774?\nAnswer: -31341646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -24*b**3 - 2*b**2 - 2*b - 2. Let m be i(-1). Let k = m - 104. Let h = -74 - k. Calculate the remainder when 33 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 5 (c) -0.4 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13217374 rounded to the nearest 10000?\nAnswer: -13220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11316983?\nAnswer: 2237, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 398146182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:47 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p + 4*p. What is the remainder when ((-9)\/5)\/(-4*10\/200) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*y + 14*y + 65*y - 22*y - 22*y.\nAnswer: 37*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 45, 41, 37, 33, 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 + -718929.\nAnswer: -718990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 876, 1706, 2538, 3372, 4208?\nAnswer: 5046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.7873 to one dp.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4446 and 2907?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a326 (base 11) in base 8?\nAnswer: 215111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872175 is divided by 126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65139715 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43752, 43749, 43744, 43737, 43728, 43717, 43704?\n\"Answer: -q**2 + 43753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710563868 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 223*l - 973 - 43 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*b - 4*w, 4*b + 584*w - 52 = 583*w for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/15 - 603*k**2 - 1. Let u(r) = -102*r**2. What is a(u(v))?\nAnswer: -41616*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + -5 + 4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.78481392 to one decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1152 and -101\/192.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4 - -8) + -3 + -21 + 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) -2\/11 (c) 5\/4 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 186592597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2000100102?\nAnswer: -2000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5758a6 - 4?\nAnswer: 5758a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2789464636 to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhghnjghjhjghjnnjj. Give prob of sequence jgg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.655 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:00 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6026)\/13 + (756\/182)\/(-9). Suppose -3*k - 5*f = 998, -3*k + 2*f - 966 = -f. Let a = k - y. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a factor of 4055784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.78 + 26. Let b = -3084.58 - -3077. Let l = a - b. Round l to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2205 = 4*a, -5*a - 2180 = -5*d - 4*a. Suppose -d*x - 992 = -439*x. Calculate the highest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 697*k + 163*k - 153*k + 100*k - 5. Let i be 10\/(-4)*(-4)\/2. Let w be h(i). Round w to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-16*l + 130 - 130)*(0 - l + 0).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 14*u - 10. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 22*m**2 - 42*m + 44. Let u be i(20). Factor v**3 + 1\/2 - 1\/2*v**5 - v**2 + 1\/2*v**u - 1\/2*v.\nAnswer: -(v - 1)**3*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))**(5\/4) assuming h is positive.\nAnswer: h**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 740128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87279 and 12.\nAnswer: 349116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(1\/2)*k))\/(k\/(k*k**3*k)))**(-5) assuming k is positive.\nAnswer: k**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b - 756. Calculate the lowest common multiple of u(-55) and 124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.342994mm?\nAnswer: 342.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose 0 = -a + 2*c + 48, 5*a - 3*c - 225 = 2*c. Calculate the remainder when a is divided by (-2)\/t*-11*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 19. Suppose 8 + m = 5*k. Suppose -o - k*o = -45. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3388, -3863, -4646, -5743, -7160, -8903, -10978?\nAnswer: -13391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/256345895 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-16 - 36) - -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(275) + -1*sqrt(275) + 1)**2 - (0 + sqrt(275) + 4 + sqrt(275))**2) + -1)*-2.\nAnswer: 320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -23*g + 34. Solve g*m + 3 = -3*m - 3*q, -4 = -q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(200) - sqrt(200)))\/(3*sqrt(160)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, z: 3}. What is prob of picking 1 m and 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6810 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103887?\nAnswer: 3, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3675 - 3657 = 0. Let g be -4 + z + (7 - 5). Factor -1\/2*p**2 + 0*p**3 + 1\/4 + 0*p + 1\/4*p**g.\nAnswer: (p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 37150185 and -2767.\nAnswer: 37147418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43245081*a**6 - 52278392*a**2.\nAnswer: 5189409720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/30 + n**4\/12 - n**3\/3 - 5*n**2\/2 - 6*n. Let j(q) be the first derivative of g(q). What is j(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = x - 3*w, -w = -2*x + 7. Let r(q) = 15*q - 1. Calculate r(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 + 13*f + 16. Let r be a(4). Solve 4 = 4*h + r*x, 2 = 4*h + 3*x - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494780297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2 - 7*c. Let s be q(2). Suppose -21*x + s = -20. Sort x, 1, 4, 9 in decreasing order.\nAnswer: 9, 4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*b - 759, -4*o - 553 = -4*b - 3509. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 4*j - 755*j**3.\nAnswer: -755*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3 - 2*c**2*q**3 + 52*c**2*q**2 + 20*c*q - 35*q**3 wrt c?\nAnswer: -6*c - 4*q**3 + 104*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f + 33. Let b(s) = 7*s - 16. Calculate 10*b(z) + 6*o(z).\nAnswer: -2*z + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 + 6*a**5 + 0*a**5 + (-a**3 + 2*a**4 + a**3)*(-a + 0*a + 2*a) - 3*a**5 + 6*a**5 + 0*a**5.\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1022d + 2c19?\nAnswer: -c514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 24*k - 1195. Let v be a(50). Sort -1, v, -7\/16, -0.2 in increasing order.\nAnswer: -1, -7\/16, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1105774917 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*p = 0, 2*p = -4*q + 2*q. Calculate the remainder when 31 is divided by (-16 + q)*(2 - 9 - -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1.85307.\nAnswer: -0.555921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176949, -176504, -176059, -175614?\n\"Answer: 445*r - 177394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3585242835 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 20996391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -3\/5, -0.659, -9, -1, -0.03?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - -5) + -30 + 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3900 - 3912. Sort -2, p, -1, -3\/2 in decreasing order.\nAnswer: -1, -3\/2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.04 + -16.96. Let f = 17.9 + z. Suppose -4 = -4*i + 2*i. Which is the second smallest value? (a) 5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 111, 160, 199, 222, 223?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 25 = 0, -5*i + h + 18 + 17 = 0. Calculate the remainder when 2 + (-32)\/18 + (-1056)\/(-108) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + (-38)\/(-14). Suppose 65 + 79 = w*b. Suppose -f = -m + 3*f + 54, -m + f = -b. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 14*u + 8. Let i be v(-8). Let f be (-56)\/i - 14\/2. Solve f = 7*d - 2*d + 5*x - 50, 5*d = -2*x + 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 67.1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 477*s + 302*s + 101*s + 76*s - 190*s as b*s + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26891224 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + 23 + -27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 - -0.05. Let f = -2 - 10. Let t = f - -15. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2470349 - -711400. Let j = -1103049 - l. What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4828 and -39\/8.\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaffpaf. Give prob of sequence afff.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 5*y**2 - 1516 + 135 + 1243.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let f be v(3). Let r be 0 + (f - (9 + -2)). Which is the nearest to 0.1? (a) r (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -69 (b) 1\/4 (c) 5 (d) -2\/115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5811, -23242, -52295, -92970?\n\"Answer: -5811*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*d - 11 = 79, -5*i = -2*d - 116. Calculate the remainder when 47 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*i - 22, 4*r - 43 - 9 = 4*i. What is the remainder when 141 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.173, -7454\/9, 3?\nAnswer: -7454\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-130) + (-2 - (-87)\/39).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -23*c + 11*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -6*x**5\/7 + 64*x**4\/7 - 40*x**3\/7 = 0.\nAnswer: 0, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 545 and 4469?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -68. Let y = 7 - 21. Let i be (-4)\/y - 2\/(-91). Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 36. Solve -5*h + 1 = 4*n, -5*n + 15 = -b*h - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1720800 and 27532800?\nAnswer: 27532800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 3.996, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 5*o + 3 = 0, 0 = p - 2*o - 1. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*42\/(-4). Sort -0.1, l, -2.\nAnswer: -2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t**2. Let x(g) = -12*g. Let k(j) = 9*j. Let a(o) = 3*k(o) + 2*x(o). Give a(u(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -2. Let l(o) = -5*o - 2 - 7 + 2*o + 4. Let p(m) = 4*m + 6. Give i*l(q) + 4*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266179*c**3 - c**2 + c**2 - 266176*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -136\/3. Let m be 80\/(-12)*3\/(-1). Let k be ((-6)\/m)\/((-18)\/(-15)). Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 1\/((-4)\/16). Suppose -3*q = 15, 0*q - 520 = -5*s - y*q. Let k = -30 + s. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62 - (-3 - -3 - -2). Suppose -u + f = 5*u. Which is smaller: 12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**2\/5 + 121824*h\/5 - 121818\/5 = 0.\nAnswer: 1, 20303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 9. Let n be z(-11). Let s = n - -3. Let g = s - -11. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 + 3 = 0, 0 = -4*a - y - 14. Let t(p) = 3*p**3 - 2*p**2 + 5*p. Let j(b) = -2*b**3 + 2*b**2 - 4*b. What is a*j(z) - 3*t(z)?\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (59 - -1) + (-60)\/(-15). What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*11\/(-143).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -b - 6*o, 2*b - 4*o + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1422 and 926778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q. Let i be z(-2). Let h = 35 - i. Suppose -3*l + h = 2*l. Solve -2*u + l = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p)**(-26))**4*(p**1\/(p**6*p))**2 assuming p is positive.\nAnswer: p**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -255\/8 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.169287 millilitres?\nAnswer: 0.000169287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.19116 + 27.8911594. Let s = j + 0.3. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*z - 46 = 201, 4*k + 3*z = 1024. Suppose -2*m + 219 - 45 = -n, 3*m - k = 2*n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 6. Let p(v) = 2. Suppose 12 + 6 = -3*h. Suppose -o + 2 = -0*o. Let g(u) = h*p(u) + o*f(u). What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 8*v**2 - 7*v - 6. Let a be (14\/(-4))\/(-3 + 15\/6). Let y be j(a). Let i be -6 - y - (-2)\/17. What is the third smallest value in i, 5, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-840)*-28 + 2\/(-5). Solve -17*t + 14 + 20 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110494 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542 (base 6) to base 3.\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20120198, 20120201, 20120204, 20120207, 20120210?\nAnswer: 20120213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428067893, -428067894, -428067895?\nAnswer: -428067896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i. Let w(t) = t**2 - 3*t**2 + t**2. What is a(w(g))?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - (4 + 0 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 8. Let l be r(4). Let y be (-8)\/l - 18355\/(-99). Let f = y - 185. Which is the nearest to 1\/2? (a) f (b) 3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -654, 2342\/7, 3, -5.\nAnswer: -654, -5, 3, 2342\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2121.9999259 - 2122. 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 i be (-41)\/(-5) + 3\/(-15). Let h be -2*(i\/(-2) - 1). Calculate the lowest common multiple of 44 and 48\/28 - h\/(-35).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2450 - -26241?\nAnswer: 28691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 34.7, -4, 0.4, -2.1, -25, -2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 271*d**8\/14 + 169*d**4\/6 - d**2\/2 - 2*d + 76. Find the third derivative of u(k) wrt k.\nAnswer: 130080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(153)*-6 - sqrt(153)) + sqrt(153))**2 - ((sqrt(153)\/sqrt(225))**2 + (sqrt(17) - (sqrt(102)\/(sqrt(12)\/sqrt(2)))**2)).\nAnswer: -sqrt(17) + 551208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + (-22915)\/(-435))*6. Let l = m + -280. Let i(f) = -f**2 + f - 5. Let x be i(0). What is the closest to l in x, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:22 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygigirioyi. What is prob of sequence gyoy?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283 is divided by 543?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -222513*k - 2. Let b(l) = -4*l. Give b(d(j)).\nAnswer: 890052*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18982*g**6 - g**2 - 2*g + 9888?\nAnswer: -2277840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 46*g**2 + 88*g + 20. Determine b(-44).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:57 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - c**4 + 9*c**3 - 2*c**3 - 2*c + 3 - 3*c**3 as m*c + n*c**2 + z*c**4 + f*c**3 + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 5*k - 428 = 21*b, 3*k = -4*b - 1661. Let l = -409 - b. What is the smallest common multiple of 706 and l?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 13*v**2 - 7*v - 38. Let s be f(-13). Suppose s = -2*j + 6*j - 5*w, 0 = 5*j - w - 61. Which is bigger: j or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515814 - 515814 + 13*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -536 + 14969\/28. What is the common denominator of z and 61\/268?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5646 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76140276*j*p**3 - 16250626*p**3 wrt j?\nAnswer: -76140276*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 225998404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/16, 0, 0.3, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.76 - 1.56. What is the third smallest value in 3, -3, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80766.591441 and -3?\nAnswer: 80769.591441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 0)*3\/9. Let o be (1\/n)\/(2\/12). Calculate the common denominator of -23\/6 and o\/(-4) - 18\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7264 + -7262. What is the third biggest value in 1, -13\/6, -3, w?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29926?\nAnswer: 2, 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -575\/3 - -191. Let j = 3\/4 + v. Calculate the common denominator of 19\/176 and j.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/60 + 7*h**4\/24 - h**3\/6 - 3*h**2. List the prime factors of r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -179 - 311. Suppose q + 2*u + u = 5, 2*q + u - x = 0. Calculate the remainder when 96 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -293.2? (a) 5\/3 (b) 1 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31403 (base 5) in base 11?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1060\/9 - -51886\/441. Let b = -176\/637 - t. Put b, -3\/4, -1\/3 in decreasing order.\nAnswer: b, -1\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**5 + 33*f**4 + 50*f**3 + 13*f**2 - 7*f + 7. Let v(q) = -5*q**5 - 16*q**4 - 25*q**3 - 6*q**2 + 4*q - 4. Let h(i) = -4*r(i) - 7*v(i). Factor h(c).\nAnswer: -5*c**2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 9*o**2 + 16*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -65*u**2 + 28*u - 74. Let j be t(3). Let p = j - -620. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**2 + 3*p - 3. Let u be n(2). Let t(y) = y + 18. Let r be t(u). Which is greater: r or 16\/9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9306.5 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a + 8. Let u be x(-6). Suppose 0*l = u*l - 18. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + f = -3, 0 = 998*s - 1003*s - 5*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9540*d**3*i**2 - 46*d**3*i + 9*d**2*i + d wrt i.\nAnswer: -19080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 9*t**2 - 24*t + 128. Let g be p(8). Let c = -43135265603\/61505493738 + 16\/101762895. Let v = -2\/1511 - c. Is g at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 3, a: 3, o: 6}. What is prob of picking 2 y and 2 o?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*a - 3*a**3 - 47\/2 + 281\/2*a**2 = 0. What is a?\nAnswer: -1\/2, 1\/3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95994352963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(-215)\/559?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2 + (0 - -3)). Let m = u + -3. Let h be (-4 + 1)\/((-8)\/8). Sort h, 4, m in increasing order.\nAnswer: m, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303052 divided by 239?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*s**4 - 637*s**3 - 44585*s**2 wrt s.\nAnswer: -8400*s - 3822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57349, 57781, 58213, 58645, 59077, 59509?\n\"Answer: 432*t + 56917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*v = m - 8, 5*m + 3*v - 70 - 42 = 0 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 + 0*y**3 + (13*y - 13*y - 3*y**2)*(-4*y - 3*y + 6*y) + (-3 - y + 3)*(2*y**2 - 2*y**2 + 2*y**2).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4735948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hydddidsssddsih?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-16)))**12 assuming q is positive.\nAnswer: q**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-18)*(-828)\/(-920)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*i*j + 12*h*j*o + 9*h*j + 2*h*o + i*j*o - 7*i*j + i*o + 4*j + 2 wrt h.\nAnswer: i*j + 12*j*o + 9*j + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619082466 to the nearest 1000000.\nAnswer: -1619000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + (sqrt(450)*2 - sqrt(450)))\/sqrt(10).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1017 = -2*o + g + 4*g, -2*o - 3*g = -977. Suppose o + 366 = 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73020?\nAnswer: 2, 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 35 = -2*z + v, -5*z = 2*v - 110. Suppose 6*w - z = 4*w. Are w and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.05, -2\/11, 6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30780.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -23 - 7. Suppose x - 11 = -4*g, -3*x = -x + 4*g - 14. What is the highest common divisor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1111120202231?\nAnswer: 1111120202232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22511987 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -0*k. Let w = k + 6. Let i = 25 - 17. Solve 5*u + w*q - 3*q = 4, -2*q + i = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:56 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.05?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*8704\/(-768)*(-6)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.028998 nanoseconds to hours.\nAnswer: 0.000000000005008055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (14 - 9)*(-1)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 1. Let n(i) = -2*i + 2. Let f = 366 - 357. Let d be ((-5)\/(-3))\/(-5 - (-48)\/f). Calculate d*n(m) + 4*q(m).\nAnswer: -2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4+5524\nAnswer: 5520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -260, -398, -540, -686, -836?\n\"Answer: -2*p**2 - 128*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 7:56 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111994 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from nonsfoooetnnn?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Let b = 4 - o. Let p(s) = s + s + b*s. Let l(k) = 4*k**2. Calculate l(p(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 u when three letters picked without replacement from quuuqquqlybuqlu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-60)\/(-176)))\/(7*2\/70)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*r + 4*r**2 - 12*r - 13*r - 9 as w + l*r + z*r**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -190, -209, -182, -109, 10, 175?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 + o**4\/6 + 5*o**3\/6 + o**2. Let h(v) = v**2 + 4. Calculate the lowest common multiple of h(-3) and k(-5).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262160.\nAnswer: 2, 5, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*j + 144939*b**2 - 4*b*j - 29078*j - 4 wrt j?\nAnswer: b**2 - 4*b - 29078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -19. Let l be m*(2 + (-26)\/6). Which is smaller: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -64, -76, -102, -148, -220?\n\"Answer: -s**3 + 2*s**2 - 3*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 at most 1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649 is divided by 3639?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 485, 1511, 2537?\n\"Answer: 1026*i - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -3\/4, 34, -0.1, 3.\nAnswer: -3\/4, -0.1, 3, 34, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 14. Suppose 2*q - 16 = -4*f, o = q - 3*f + 7*f. Let x(v) = v**2 + 11*v + 3. Calculate the remainder when q is divided by x(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 17. Suppose x + i - d = -2*i, -1 = -i. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 611a - 5?\nAnswer: 6115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*o**2 - 76*o - 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 482093 (base 13) to base 12\nAnswer: 6aa392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*h + 253*h = 5*r - 27, 4*h = -5*r + 26 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 - 1)*(-5*d**2 + d**2 + 9*d**2) + d - 4*d**2 - d.\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -424631, -849270, -1273909?\n\"Answer: -424639*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - -5142823264919.\nAnswer: 5142823264918.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 23 - 117 = 188. Calculate the remainder when 647 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/12*32\/40. Let c(m) = -11 - 8 + 14 - m**o + 7*m. Let x(j) = -j + 3 + 0 - 2. Give -c(g) - 5*x(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1 + 14*v**2 - v + 35*v**2 + 3*v - 5*v**2. Let y be s(1). What is the units digit of 5\/(100\/y)*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 2. Calculate a(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -5)\/(1\/9). Let d = s + 24. Put 2, -2, d in ascending order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23253150 (base 7) to base 9\nAnswer: 3758563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-3) + (-3 - -3). Let f be q*4\/6*-1. Let v(r) = -3*r + 6*r - f*r**2 - 3*r. Let w(d) = -2*d**2. Give v(w(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 37. Which is the third smallest value? (a) 0.5 (b) 3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 8379.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:46 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -15393.7 to the nearest one hundred.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -151.\nAnswer: 6\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 + 3 + 0 - 2 + b. Let m(n) = 3. Let k(l) = -4*m(l) + 3*o(l). Let p(s) = -2*s. What is p(k(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33101 and 439477.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 526*l**3 - l. Let v be t(1). Let n = -262 + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + s + 1 - 2 = 0, -s = 5. Suppose -2*w + i = -w. Factor -4*g**2 + w*g - 15*g + 5*g.\nAnswer: -4*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f\/(f**(-1)*f)*f)*f)\/f**(-5))**(-4\/5)\/(f*f**(5\/2)\/f*f*(f*(f*f*f\/(f*f\/f**7*f))\/f)\/f)**(-1\/6) assuming f is positive.\nAnswer: f**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.2102 (c) 0.3 (d) -2 (e) -5 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*x + 3034111*g + 4269*x - 98 wrt g.\nAnswer: 3*x + 3034111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2258*r**2 + 5*r + 5. Let m(s) = -3388*s**2 - 7*s - 7. Determine -7*b(g) - 5*m(g).\nAnswer: 1134*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 9. Let l = -1 - 8. Let n be v(l). Suppose n = -p - 1 + 4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45343803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (1\/(-9) + 77\/126)*38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/21)\/7*(-52)\/8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 14. Let a(x) = 4*x**2 + 2*x + 1. Let t be a(o). Suppose 7 = -t*q + 25. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/220224 and -103\/6696?\nAnswer: 1982016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - 2490\/25. Let i = 116 + m. Solve 0 = 4*l + 4 - i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-20 - -19 - (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9*u**2 + 9)*(-2 - 1 + 0)*(3 + 0 + 1) to the form g*u + o + a*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 20, 1 in increasing order.\nAnswer: -3, 1, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auuk when four letters picked without replacement from auuauaaauuukuuaaa?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-4)\/(-10) + 82\/(-30))*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from zzgegzelz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1174 (base 9) to base 5.\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42d (base 15) in base 6?\nAnswer: -4211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 - 2*p**4)*(-5 + 6 + 7)*(4 + 2 - 5 + 2 - 1 + 0 + 0 + 1 + 1 + (0 + 4 - 3)*(2 - 3 - 1) + 2 - 4 + 1 - 2 + 0 + 0).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 62 (b) 0.11765 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/13, 4, 0.7, 1\/5, 1110, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(267\/1068)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((-40 - 0) + 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**2\/v))**(-33))**(-26\/7) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + -4 + 12 + -10 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7363001, 14725994, 22088987, 29451980, 36814973?\nAnswer: 44177966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l**4 + 3*l**3 + 5*l + 26.\nAnswer: 120*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 + 4. Let i be v(5). Suppose 16 = -i*z - 0. Let y be (10\/(-1))\/(4\/z). What is the highest common factor of y and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 6. Let u be c(-2). What is the highest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -361, -5, -1 in decreasing order.\nAnswer: 10, -1, -5, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2 - 0) + (-6)\/9. Which is the second smallest value? (a) m (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 4*i + 0*i + (1 - 1 - 1)*(-1 - 2*i + 1) + (-3 - i + 3)*(86 + 79 + 36) + (-3 - 1 + 0)*(-2*i - 2 + 2).\nAnswer: -189*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-744)\/(-192))\/31).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 56*t - 31*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*z + 53 - 53)*(-z + z - 2*z).\nAnswer: 90*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y + 6. Let u(p) = 17*p - 6. Let l(j) = -2*m(j) - 3*u(j). Let k(g) = -3*g + 2. Give 7*k(r) - 2*l(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 378\/54 - (-8)\/(-2). Let j be -7 - (2*p\/(-3) - -6). Let o(f) = f**2 + 11*f - 2. Calculate o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 4*p + 3*p)*(1 + 0 + 0) - 21*p - 25 + 25 + 0*p - 2*p + p to the form j*p + t and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51569 is divided by 992?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 15*b**2 - 22*b - 29. Suppose -6 = -5*h - 76. What are the prime factors of i(h)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -54) + -69 + 10 + -3 + 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/10)\/((-23)\/(9867\/(-52)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 142 + 28 = -2*z, -w + 7*w + 4*z + 358 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 90*f**4 + 12*f**3 - 12*f**2 - 87. Let p(u) = 36*u**4 + 5*u**3 - 5*u**2 - 35. Let g(z) = 12*p(z) - 5*s(z). Differentiate g(h) wrt h.\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12799 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2511*j**3 + 3*j**2 - 40*j - 100. What is the units digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let c = 76 + -66. Let w(b) = -8*b. Let v(k) = c*p(k) + 6*w(k). Let j(u) = -9*u**2. What is v(j(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*f**3 + 69*f**2 + 613*f wrt f.\nAnswer: 60*f + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 3*d + 4*d + (0*d - d + 2*d)*(5 - 3 - 3) + 3*d - 4*d + 0*d - 2*d - 3*d + 6*d + 4*d - d - d + 0 + 0 + 2*d as w + h*d and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 12438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:28 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (403 - 270 - 258)*(4*q + q - 2*q)*(-5 + 2 + 2) as k + w*q and give w.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 + 0.06?\nAnswer: -479.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 2. Let w be i(4). Let a be ((-1)\/(-1))\/((-2)\/w). Suppose 3254*m + 8710 + 1052 = 0. Sort -22, m, a, 1.\nAnswer: -22, a, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45527 is divided by 1425.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9571400 rounded to the nearest ten thousand?\nAnswer: -9570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 181 = -267. Calculate the greatest common divisor of q and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, -1, -1\/1137?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 122 = 268. Calculate the remainder when 127 is divided by m.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 15. Let c be 1 + l*(8 + -2). Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34326 divided by 2?\nAnswer: 17163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1751 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = 4*n, -5*c + 2 = -3*n + 9. Is ((-2195)\/(-25))\/(n\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-47)*(t**(-2\/7))**(-23) assuming t is positive.\nAnswer: t**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(-8)\/(-12)*-6. Which is smaller: m or -31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/471 (b) -2\/15 (c) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -138610, -276894, -415178?\n\"Answer: -138284*y - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and -5?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + c + 262 = 257, -5*h = -c - 45 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7437 + -64?\nAnswer: -7523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104153250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2969738*b**5 - 59*b**2 + 2*b + 2111.\nAnswer: 178184280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.65 + 0.8. Let u = p + 0.78. Sort u, -1, 2\/7, 0.2 in descending order.\nAnswer: 2\/7, 0.2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 41*d = -5*g - 26, -34 = 4*d + 5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/(-24) - 8418\/24. Let p = -4 + 1. List the prime factors of (-4)\/p*u\/(-18).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66537 * -5.\nAnswer: 332685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 68382*s + 3*s**2 + 68434*s - 3*s**2 + 11 + 2*s**2.\nAnswer: 2*s**2 + 52*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**3 + 0 + 1\/12*k**4 + 0*k**2 - 2*k. Let s(o) be the first derivative of 3*o**2\/2 + 1. Give p(s(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 62*m**2 - 154*m. Is b(12) a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125036604 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(224\/(-12)))\/(-12*(-104)\/512)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293102657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(425))*4 + (sqrt(425) + sqrt(425) + 0)*-6)*3)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {i: 2, c: 1, m: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide (13 - 14)*(-1 + 0 + -433)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 - 4 + 5 - 2*w**3 + 0*w**3 - w. Let j be x(-1). Calculate the highest common factor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*k + 1260 = 4606 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/6 - -5)*0. Suppose r*k + 2 = k. Solve 0 = f + q + 3, 2*q + 3 = k*f + q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 126.5\nAnswer: -379.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3)*1*-5*-4)\/((5*(sqrt(250) + (sqrt(250) - 3*sqrt(250))) + sqrt(250) + sqrt(250))*-6))**2.\nAnswer: 8\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2732 - 900 - 896 + h - 929.\nAnswer: h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*m + 2627*m + 529*m + 5845 = -2914*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 76*j + 2872. Calculate the smallest common multiple of 880 and z(-26).\nAnswer: 49280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 124123008*r - 1925815139371008.\nAnswer: -2*(r - 31030752)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 40*y = -17808. Are -329 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3.24, 0.02, -2\/19 in descending order.\nAnswer: 37, 0.02, -2\/19, -3.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Suppose -1 = -3*a + 3*z + y, -4*a = -5*z - 8. Let l(o) = -o + a - 2. Let t(f) = -2*f**2. Give t(l(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 3*q + 1. Calculate t(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z - 20. Let y(a) = -a. Let w be y(z). What is the units digit of 47\/6 - w\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1919.5 - 1919. Let q = 0.2 - 0.3. Let x be -1*2 - 7\/(-4). Which is the nearest to x? (a) q (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 10 + 37*d**2 + 6 + 5*d**3 - 6 - 27*d. Let m(h) = -2*h**3 - 19*h**2 + 13*h - 5. Let l(i) = -3*g(i) - 7*m(i). Is l(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11537*i + 3 + 11526*i + 10 + 4.\nAnswer: -11*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + -0.253. Let r = n - 0.063. What is r rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 6887*i - 6891*i - 16, 78*f + 6*i + 24 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438476167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156)*-2 - sqrt(156)))*-2)\/(4*sqrt(24)\/sqrt(2))*5.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 33*p**3 + 3*p**2 - 64*p**3 - 21*p**3 + 10*p.\nAnswer: -118*p**3 + 3*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220\/17, -2\/205, -3, 3, 5 in increasing order.\nAnswer: -3, -2\/205, 3, 5, 220\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5181631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 77350848.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157*x + 73216 = -887*x + 344*x + 292*x for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 17*m - 44. Suppose 40*r - 20*r = 80. List the prime factors of u(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3721*x + 44645. Give f(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743254549.\nAnswer: 109, 2539, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18626603 or -18626605?\nAnswer: -18626605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -0.1 (c) 2\/5 (d) -12 (e) -130\/177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -90*u**2 - 118*u**3 - 99\/5*u**5 - 72*u**4 - 21 - 2*u**6 - 27*u. Solve a(y) = 0 for y.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546479299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100177939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -137. Is -2\/171 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.053 - -0.473. Let y = -0.54 - n. Let j = y + -0.04. Sort -1\/6, 3\/4, j in ascending order.\nAnswer: j, -1\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 86*c - 594 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7 - 11 + 5*q**2 + 2*q + 15. Let h(s) = -s**2 - s. Let b(w) = g(w) + 4*h(w). Let i be b(-2). Solve -m + 5*z - 19 = 0, -5*z = 2*m - i*m - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456683275*m**2 - 202327610*m wrt m?\nAnswer: -913366550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132530 is divided by 934.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94, 92, 88, 82, 74, 64, 52?\n\"Answer: -m**2 + m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -8 + 2)*-1. Suppose -11 = -3*m - b, -u*b = -8*m + 3*m - 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/5 + 10*g + 40 = 0.\nAnswer: -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/10*(-60)\/(-72)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*s + 33, -5*h + 2*s + 55 = -3*s. Let g(k) = k + 9. Let m be g(h). Suppose -4*v = 5*u - m, 4*v - 4*u - 14 = 42. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:37 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 15. Let x = 452 + -445. Suppose 110*c - 111*c = -x. Give z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 137*f - 142*f - 351, 0 = 15*p + f + 791 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17698 or 63?\nAnswer: 17698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*4*(2967\/(-46))\/(-43)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376808 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s + 70*s = 152*s - 69. Put -3, s, 42 in decreasing order.\nAnswer: s, 42, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260640859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -379 or -377?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -72348?\nAnswer: -72351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 8*b**2 + 10*b - 15. Let q be j(-6). Let h(i) = -5*i**2 - 18*i - 9. Give h(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*(-415)\/(-2158).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 20. Let w be y(6). Put -3, -38, w in increasing order.\nAnswer: -38, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = 80*t - 64 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 5.9. Let x = -235 - -447. Let p = -213 + x. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -16.1. Let s = 342.82 + -340. Let m = 1.18 + s. What is the closest to i in -5, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 5\/3 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -44. Put 2, -5, f, 3 in ascending order.\nAnswer: -5, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.045, -0.1, -2\/3, 132?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-160)\/(-25) - 6)*3\/(-6). Let a = -0.1 - -0.1. Let d be 1 + (-9)\/6 + (3 - 0). Put a, h, d in increasing order.\nAnswer: h, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/10*(-18 + 35\/2).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.28097 to 1 decimal place.\nAnswer: -154.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-6)\/(-5))\/(-2) - 1316\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 3, 4836?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2479 + -2483.619. Round u to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 8*v. Let b be n(-6). Suppose c + b = 2*c. Let h = -1033 + 1081. What is the greatest common factor of c and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/37? (a) 2\/9 (b) -4601 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*o**3 - 423*o - 64*o - 105*o - 138*o**3)*(-6*o**2 - 5*o**2 + 5*o**2).\nAnswer: -6*o**5 + 3552*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04755 - -7.78345. Let k = q + -7.8. Round k to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, e: 4, b: 3, j: 5, a: 1, m: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5602*l. Let s(o) = 2*o**2. Give k(s(d)).\nAnswer: -11204*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185095?\nAnswer: 5, 37019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m**2 + 42*m**2 + 411*m**2 + 52*m**2 + 69*m**2 to the form g + f*m + v*m**2 and give v.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(70)\/(sqrt(63)\/sqrt(9)))\/(5*(sqrt(2) - sqrt(98))) + -1 + -5)**2 + 3 + -2.\nAnswer: 4*sqrt(5)\/5 + 1666\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(13) - (sqrt(13) + 1)*2 - sqrt(13)) + (sqrt(130) - sqrt(130)*1*-6)\/sqrt(10))**2.\nAnswer: -29022 - 2736*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 57460 = 12*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06715 - -0.26715. Let t = -4.86 - -5. Sort 5\/3, y, t, 0.\nAnswer: 0, t, y, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43539500 to the nearest 100000.\nAnswer: 43500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63\/5 in -5, -1, 0.4, 1\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184919 + 542819. Round k to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142894474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1349 + 266*i - 175*i + 274*i + 968*i - 1348.\nAnswer: 1333*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 12112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 45. Determine n, given that -2*n**2 - 2*n**2 - 16*n**3 + 8*n - 129*n**h + 141*n**4 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12*c**3 + 2*c**3 + 13 - 15*c - 25*c + 35*c**2 = 0. Calculate c.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**2 + 0 + 5\/6*z**3 - 9*z. Determine p(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, -1, -0.4, 2\/15 in increasing order.\nAnswer: -7, -1, -0.4, -0.3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 8. Let p be d*(-2 - -5)\/(-21). Let g = 0.26098 + -0.06098. What is the closest to g in p, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113220 + -113220.00062433. What is q rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + -6 + 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765060990 rounded to the nearest 100000?\nAnswer: 1765100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 1744*g\/3 + 34556.\nAnswer: -4*(g - 489)*(g + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(171) + 1 + -4) + (sqrt(57)\/sqrt(3)*1 - (sqrt(133)\/sqrt(7)*5)**2).\nAnswer: -457 - 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n + 5. Let t(i) = -i - 2. Let f be t(-6). Let b = f - -25. Calculate the remainder when b is divided by j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 180, -3 in decreasing order.\nAnswer: 180, 12, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1610329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 921113?\nAnswer: -11\/921113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -10. Is g\/(-2 - 1266\/(-634)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (922 - 74 + 1182 + 2*c)*(3*c**3 - 2*c**3 + 0*c**3) to the form g*c**2 + f + r*c**3 + b*c**4 + a*c and give r.\nAnswer: 2030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a. Let j(g) = 325*g. Give j(o(z)).\nAnswer: -975*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*q**2 + 12*q**3 + 0*q**3 - 12*q**3 - 88*q**5 wrt q.\nAnswer: -5280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13759 or -41276\/3?\nAnswer: -41276\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6, 15, -27, 16 in increasing order.\nAnswer: -27, 1, 5, 6, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 312 - 88. Find the second derivative of 10 - 3*d - d**4 + l*d**5 - 10 - 6 + d wrt d.\nAnswer: 280*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 5. Let w be i(-5). Suppose -v + 28 = -w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (75\/10)\/(1\/(-16)). Let b = -1082\/9 - d. Which is smaller: -4\/21 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0014 + 4311\nAnswer: 4310.9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -200?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 761442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/6831)\/(3456\/(-4968)).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from fmdfmizdzmmfzffdifi.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78690229*o**3 - 143220811?\nAnswer: 236070687*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(245))*3)**2 + sqrt(245) - (sqrt(245) - (-3 + -1*sqrt(245)))**2)*-1.\nAnswer: -1225 - 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5526*x**5 - 4*x**4 + x**3 - 467*x**2 - 13*x wrt x?\nAnswer: 331560*x**2 - 96*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m + 6. Calculate u(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8989700 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 52*g**2 - 99*g + 38. Let s be y(50). Let o = 172 - 81. Which is greater: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, 233.\nAnswer: 2\/3, 1, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)*j**4*j**0*j**(2\/23)\/j assuming j is positive.\nAnswer: j**(119\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -334*c - 3355. Let y be a(-10). Let i(m) be the first derivative of -m**4\/4 - 16*m**3\/3 - 8*m**2 + 26*m - 1. List the prime factors of i(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 1236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -26*m - 295. Calculate c(-13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.089 rounded to one decimal place?\nAnswer: 31.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 450, 11, 16 in descending order.\nAnswer: 450, 16, 11, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470150767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -8, -4, 12, 46, 104, 192, 316?\n\"Answer: n**3 - 3*n**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 190?\nAnswer: 8550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6*x - 20. Let u = -2\/1415 + -5092\/1415. Is u equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Let f(h) = 0*h + 3 + 0 - 5 - x*h. Calculate the remainder when 37 is divided by f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -134*g**6 + g**2 + 215*g - 888. Find the second derivative of a(x) wrt x.\nAnswer: -16080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 0.7\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 161. Let h(b) = 2*b**2 + 3*b + 163. Calculate 2*h(j) + 3*k(j).\nAnswer: j**2 + 6*j - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxm when three letters picked without replacement from {h: 5, s: 1, r: 3, a: 3, x: 1, m: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.2 (c) -3\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 4 - -2 - (0 - 15). Differentiate 25 - g - 24 - 17*l**4 with respect to l.\nAnswer: -68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7174, -28736, -64690, -115048, -179822?\nAnswer: -259024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(45\/(-15))*(-21)\/12?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0 + 10. Let v = 6 + -5.9. Which is the closest to v? (a) -3 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = -173*o + 2310 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/117)\/(1400\/(-173250))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483585 > 1483460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 2*l**2 - 7*l**2 - l**2 - 2 + 2 + l**2 + l**2 - l**2 + (4*l - 4*l - 2*l)*(0 - l + 0) + (1 - 1 - 1)*(-2*l**2 + 0 + 0).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23801649 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362749 is divided by 1982?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 - 1094 = 160*r + 101*r + 788 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/6 + 42394*s + 254363\/6 = 0. What is s?\nAnswer: -254363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -167*t - 1. Let q(d) = -2*d. Give q(g(n)).\nAnswer: 334*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*q - l + 2*l, -q = -2*l - 10. Suppose -4*r - 2*s + 2 = 0, 2*s = r - q*r + 3. Differentiate r - 3 - 1 - 2*n**3 with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p - 0. Let h be p*2\/(-3)*1. Suppose 0*a - h*a = -30. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 - -225.15. Let f = 1.1712 - g. Round f to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpcaacaaaaccvaa. Give prob of sequence vpac.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14 and 47\/5529066?\nAnswer: 38703462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -0.6. Let c = 1.9 + a. Does c = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43212081 to the nearest integer?\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pgpppgpppppg.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2354 - 2?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (126\/(-49))\/(75\/(-1530025)).\nAnswer: 2, 3, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4255.98 from -1.\nAnswer: 4254.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 7*u - 3. Let n(b) = 1 - 4 + 2*b - 3*b**2 - 8*b. Let w(s) = 6*i(s) - 7*n(s). Find the first derivative of w(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/8 + (-7)\/14 - (-638)\/88.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1264\/(-96) - -2 - (-14 - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4 - 48*k**3 + 4*k**2 + 48*k = 0.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/((-22)\/(-3))*2. Let l(s) = s**3 + 5*s**2 - s - 3. Let j be l(-4). Let c = m + j. Calculate the lowest common multiple of 6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/275281 and 19\/1101124?\nAnswer: 1101124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -767 + 766.99998716. Round a to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = 4*x, -3*x + 0*u + 15 = -2*u. Let z = x + -5. Let v = -113 + 1471\/13. What is the third biggest value in z, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -81*v**7\/7 - 477*v**6\/5 - 2001*v**5\/10 + 383*v**4\/6 + 64*v**3 - 36*v**2 + 4*v - 79. Find p, given that q(p) = 0.\nAnswer: -3, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8518116749 + 14306\nAnswer: 8518131055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1 (c) 2\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 605 - 597. Sort 5, 4, x, 2\/11 in ascending order.\nAnswer: 2\/11, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 414*k - 41. Is z(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b3a (base 16) to base 12\nAnswer: -404a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:25 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-81) + (-39137)\/(-189) + 13 is divided by 62.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 453*r - 1089*r + 61 - 1176*r to the form l*r + x and give l.\nAnswer: -1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 x when three letters picked without replacement from vetxxxxvx?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2 + 3*a + 3. Let x(l) = 15*l**2 + 6*l + 6. Let r(o) = -13*i(o) + 6*x(o). Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (-2*sqrt(6300))\/sqrt(9) + 5*(sqrt(5040)*-2 + sqrt(35))\/((-1*sqrt(60))\/sqrt(12)))**2.\nAnswer: 190*sqrt(7) + 63176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 10. Let i be 2493\/12 + 2\/k. Let o = i + -123. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.406 + 0.006. Let m = 244\/3 - 80. What is the closest to m in 3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j**2*q**2 + 16*j**2*q + 6*j*q**2 - 2*q**2 + 17314*q with respect to j.\nAnswer: -18*j*q**2 + 32*j*q + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3275 - 1259. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 518*x - 236. Determine k(-130).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -54, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p**2 - 1. What is the units digit of c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22013 (base 8) to base 10\nAnswer: -9227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Let a be (28\/105)\/(10\/(-25)). Let w = -7 - -7.1. What is the closest to -0.1 in a, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*g = 12, -3*a + 0*g + 23 = 5*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -2 (c) 845 (d) -32 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - 17.84. Let k = 17.99999923 + c. What is k rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 + 225. Let r(o) = -54*o**2 - 1 - 6*o + z*o**2 + 27*o**2. Calculate r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + 3\/9*5. Find p, given that 0 - 2\/3*p + y*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226115573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 188859*b - 21. Let u(g) = -4*g. Give u(r(h)).\nAnswer: -755436*h + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835152219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 63202496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.3 (c) 1 (d) 11 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 234*r - 4486. What is h(17)?\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 11*c**2 - 4 + 4 - c**2 + 0*c + 0*c + (-3 - c + 3)*(-3*c + 0*c + c).\nAnswer: 12*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*d - 1, -4*d + 3 = -w + 1. Suppose w*p + 0 = 2. Suppose -4*s + 16 = 5*m - 8, 10 = 2*s + 2*m. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 12. What is the lowest common multiple of 3 and w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 116*r**2 - 13*r - 8. Let i(k) = 77*k**2 - 8*k - 5. Give -8*i(j) + 5*n(j).\nAnswer: -36*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32181.\nAnswer: 3, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 126288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1324320 and 186.\nAnswer: 1324320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b be -1550*(-16)\/(-4)*-4*1. What is b rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2238 and 494694.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/14363 or 1?\nAnswer: -6\/14363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120196705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q - 2)*(-3 + 4 + 2*q - 6*q).\nAnswer: -8*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (-14 + 12)) + -31 - -102\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -3\/2, 0.1, -0.079?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 0*(-1)\/4. Let h be 6*1\/j - (-1 + -3). Solve h*z = -0*z - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 0.01. Suppose 0 = -4*x + 7*l - 9*l - 2, 2*x = 2*l + 14. Put x, u, 5 in decreasing order.\nAnswer: 5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -341*l**4 - 5*l**2 - 78012?\nAnswer: -1364*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230063 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4769 - 39698*s + 79398*s - 39701*s)*(s**3 - 5*s**3 + 3*s**3).\nAnswer: s**4 - 4769*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v + 5. Let o be 18\/(-12)*(-20)\/v. Let i(m) be the second derivative of 2*m**3\/3 + m**2 + m. Let l(g) = -g. Give o*l(k) + i(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0162037 to four dps.\nAnswer: 1.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19514014 is divided by 1560.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130653402 (base 7) to base 11.\nAnswer: 4793119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Suppose -4*w - b*j + 10 = 0, w - 5*j = -16 + 7. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6233056, -6233055, -6233054, -6233053, -6233052?\n\"Answer: f - 6233057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + -2) + ((sqrt(1539) + 0 + sqrt(1539))**2 - sqrt(19)) - ((sqrt(19) - sqrt(133)\/(-1*sqrt(7)))**2 + 5)*-2.\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 0*r**3 + 3*r**2 + 10 - 3*r**3 - 11*r**2 + 2*r**3. Let n = -1735 + 1728. What is z(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 393 - 2078 - r + 2*r - 4*r.\nAnswer: -r - 1685","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69)\/(-21) - (-4)\/(-14). Suppose -4*g + 12 = -3*c, 15 = -k*c + 3. Solve -3*h + 0 = r + 2, g = -2*r - 4*h - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(4*(sqrt(198)*-1 + sqrt(198)))\/((sqrt(88) - -1*sqrt(88))\/sqrt(8)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/148 and -11\/127058?\nAnswer: 254116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 283*s**7\/6 - 5*s**3\/3 - 27*s**2\/2 - 696*s. What is the second derivative of d(g) wrt g?\nAnswer: 39620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/20 - 7*c**4\/12 + c**3\/3 + 9*c**2\/2 + 2*c. Determine h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3300126 + 16?\nAnswer: -3300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -244 in -2\/9, -2\/5, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 37*a - 355. Calculate the remainder when 582 is divided by l(46).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -16, -20, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -11\/4, 6, 1\/2?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(242))**2.\nAnswer: 44*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypy when three letters picked without replacement from {y: 9, p: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 14 + (1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96404 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 527558.1 rounded to the nearest 100?\nAnswer: 527600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 - 5 = 0. Suppose -3*b = -4*b - i*q + 163, 3*q = 5*b - 838. List the prime factors of b.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 7*n - 9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 1, l: 1, o: 3, c: 3, g: 2}. Give prob of sequence wkc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4269 (base 11) to base 12.\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3\/7, -0.06, 12, -0.25 in ascending order.\nAnswer: -4\/5, -0.25, -0.06, 3\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 0. Suppose 2*x + 46 = -2*b, 4*b + 5*x + 88 = -i*x. Let c = -17 - b. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 1, u: 1, r: 3, z: 9, q: 2}. What is prob of sequence zgg?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - 22 - 48 - 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from {y: 5, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 55\/11*((-15)\/3)\/(-25). Suppose 0 = -4*s + 5*c - i - 4, s + 4*c - 4 = 0. Solve j + 3*m = 2*j, s = -4*j + 4*m - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*m + 3541 - 5832 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151793, 152251, 152709, 153167, 153625, 154083?\nAnswer: 154541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*f - 4*l, 0 = -l + 8 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m. Let a be (-30)\/(-8) + (-1)\/(-4). Suppose a*g - 2*o = -68, 0*g - 3*o = g + 3. Let b(n) = 21*n. Let j(q) = g*v(q) - 2*b(q). What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i**2 + 0*i**2)*(19*i - 146*i + 48*i) - 2*i**3 - 3*i + 3*i + (2*i**2 - 3*i**2 + 0*i**2)*(3*i - 2*i + i) - i**3 + 6*i**3 - 4*i**3.\nAnswer: -161*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 593.8454m?\nAnswer: 593845400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2 + 173*v + 890 = 0.\nAnswer: -5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11277.\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:17 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2419*q**2 + 824*q + 2. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 116535, 116953, 117651, 118629?\n\"Answer: 140*g**2 - 2*g + 116397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 + 3*u + 3. Let m(q) = -1. Let r(o) = -13*o**2 + 8*o + 1. Let y(x) = 14*m(x) - 2*r(x). Let l = -20 - -17. Give l*y(t) - 16*a(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 8*v - 53, -8283*o - 50 = -5*v - 8287*o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -16 in increasing order.\nAnswer: -16, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 12) to base 2\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.9 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + 0 - (7 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 2475001*t**5\/20 - t**4\/6 + 16*t. Let f be k(2). Round f to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2066.5 and 0.229229.\nAnswer: -2066.270771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 59 = 4*h - 4*y, -215*y = 15*h - 211*y + 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**3 - m**2 + m - 1. Suppose -58 = 41*v - 36*v + 4*o, 0 = -v - o - 11. Let u(j) = 33*j + 15 + 3*j**2 - j**2 - 4*j. Let a be u(v). Determine y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13. Calculate the common denominator of -86*y\/30*-3 and 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/5, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-6) - (-1)\/3. Let x = 13 + -14.5. Let s = x - -1.9. Which is the second smallest value? (a) -5 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:13 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -4, -1005, 0.3098, -2?\nAnswer: 0.3098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52530, 99149, 145768?\nAnswer: 192387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 989 = 19*f - 18. Suppose m = 0, 2*p - 22 = 2*m - 0. Calculate the remainder when f is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p. Let x be (-9 + 10)\/(2\/(-4) - -1). Solve -x*z + z + 5 = p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - b + 6. Let q be x(4). Suppose 19*c + q = 22*c. Suppose 3*v + 10 - c = 0. Solve -3*p + 4 = -4*y - 12, y = 4*p - v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92184.55 years in millennia?\nAnswer: 92.18455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9467142 is divided by 2366776.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/288)\/(6\/(-126))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6958 and 74382?\nAnswer: 5281122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 9*t - 30. Let f be w(5). Solve -5*a + 10 + 5 = f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -149*x**2 - 4*x - 2. Let s be p(-2). Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {g: 7, x: 11}?\nAnswer: 385\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1064, 3199, 5334, 7469?\nAnswer: 9604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 + 230. Let m be (l*-3 - (-7 + 4)) + 5. Solve 12*h = m*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/24 - 25*a**3\/12 - 13*a**2\/2 + 124*a. Solve p(m) = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(0 + 3 - 1)*(-1 + 0 - 2)*(-6*h + 6*h + 6*h) in the form w*h + r and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7661 and 297181?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:15 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-h - 5 + 5)*(-1 - 2 + 0).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13207115 is divided by 2519?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/7 + 7684*z**2\/7 + 4384*z + 30672\/7.\nAnswer: 4*(z + 2)**2*(z + 1917)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/72 and 31\/1848.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1940, 12, 45, -2 in ascending order.\nAnswer: -2, 12, 25, 45, 1940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-1044)\/15) + 8*(-24)\/320. Solve -o*h = -62*h + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(17) - (-2 + sqrt(153))) - (-1 + sqrt(2448) + sqrt(17) + 0)) + 0)**2.\nAnswer: 54*sqrt(17) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -3*w**5\/140 + 11*w**4\/28 - 2*w**3\/7 - 90*w**2\/7 - 582*w. Factor x(i).\nAnswer: -3*(i - 10)*(i - 3)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 47*s + 271. Give r(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 + 2 - 15 + 2 + h - 14. Determine r(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 + 621\/2. Which is the nearest to l? (a) -3 (b) -13 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -29. Let f(c) = -c**2 - 6*c + 4. Let t be f(z). What is the units digit of (-137 - t)*7\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 6 + 7 + (13 - (9 + -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(940\/2256)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - 5*l - 5. Let r be v(-1). Let z = 5 + -1. Let t be r\/24 + 4 - z. Which is the second smallest value? (a) -2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450082147 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 677*c**3 - 511*c**2 - 170*c.\nAnswer: c*(c - 1)*(c + 170)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2053185 divided by -6\nAnswer: -684395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -13\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-980)\/315 - 1\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-8 + 3) - 3\/3. Let w be (-5)\/((-30)\/177) - v\/4. Solve -9 = 4*n - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11342?\nAnswer: 2, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -71469002*d**3 + 12*d**2 + 14*d. Let u be k(-1). Round u to the nearest 100000.\nAnswer: 71500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*d, 3*y - 5*d = 4*y. Let p be (2 - (-2 + y))*1. Solve c = 3*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - y**4\/4 + 7*y**3\/6 - y**2 - 45*y. What is g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 2, p: 2, b: 3, o: 6, v: 1}. Give prob of sequence fptf.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4959*p**3 + 39663*p**2 + 39663*p**2 - 79326*p**2 + (0*p + 0*p - 2*p**2)*(0*p - 3*p + 6*p) in the form l*p**2 + n*p + v*p**3 + d and give v.\nAnswer: -4965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 4*1*sqrt(171))\/sqrt(3))\/(-3*-2*sqrt(243)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 5*q, -24*b + q + 4 = -20*b. Let g(x) = -12*x**2 - 4*x + 1. What is g(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t - 3*t. Suppose -7*m + t*m = -4*h - 226, m - h = 46. Let p = m - -25. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/3 + 3 + 38. Suppose y - 4*z = 9 + 5, 0 = -y - 2*z + r. Is (45\/6)\/(5\/y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 207 - 222 - 20 + 2*s. Determine n(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 34*x**2 - 2*x + 5. Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 14. Suppose l + 0 = -3*q + 2, -3*q = -5*l + 10. Is 5 a factor of a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284512 is divided by 3051.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29686551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*b + 286*b = 139*b - 6355000. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 2, d: 1, y: 5}. What is prob of picking 2 y and 1 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 28*b - 1. Give s(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - 3*y**4\/4 + 5*y**3\/3 + 208*y + 2. Factor r(w).\nAnswer: -w*(w - 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -28 + 27 - ((-1)\/(-1) + -4). Solve -f = -u*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 0.2, 143, -1 in descending order.\nAnswer: 143, 86, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.219 (b) 3 (c) 10.25667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 2*y + 0*y - 1036 + 0*y.\nAnswer: 2*y - 1036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -10 - 11. Let s(d) = -d**3 + 16*d - 7. Does 8 divide s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54271, -217252, -488941, -869338, -1358443, -1956256, -2662777?\n\"Answer: -54354*r**2 + 81*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 9\/373, 0.5?\nAnswer: 9\/373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -697 - -3921. Calculate the greatest common factor of l and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {k: 7, f: 2, o: 3, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from lppppipaplaappai.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*v - 482*v + 330 = 1374. Let a be 2\/3 - (-208)\/(-309). Does v = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from tkttktkttkktkktkkt.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 e when three letters picked without replacement from {p: 5, e: 9, n: 2}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19710 + 1.52\nAnswer: -19708.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -330? (a) -1\/9 (b) 60.2 (c) -8 (d) 0 (e) 4 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1938, 7320, 16144, 28410, 44118, 63268?\nAnswer: 85860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1221 + 19*b**2 - 1217 + 0*b**2 wrt b.\nAnswer: 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1306774331 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/6 + 5*n**3\/2 + 22*n**2. Let w be x(0). Suppose -4*l = l - w. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 27 - 11 - 18 - 59*l + 58*l - 13.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 89610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 102*k**2 + 393*k - 6. What is z(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 w when three letters picked without replacement from {d: 2, b: 3, w: 2, n: 4, j: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.7 + 76.7. Let m = -0.1 - -1.1. What is the third biggest value in m, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33845721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5713 + 5735. Suppose -2*u - 3*a + 66 = u, -88 = -4*u + a. What is the highest common factor of d and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10144.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2 + 3*j - 2*j**2 + 0*j**2 + j**2 - 1. Let y be i(4). Calculate the smallest common multiple of -1 - (-6 + (-4 - y)) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -4*t + 8, -t - 4*g = -19. Let a be (2 + (-20)\/8)*0. Solve -5*d + t + 2 = a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:36 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)*c*c\/c**(-2\/69)*(c*c**(8\/5)\/c)\/c**(-22) assuming c is positive.\nAnswer: c**(4012\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*q - 10. Solve p + 0 - q = 0, 2*p + 4 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 27*n**2\/2 + 36*n.\nAnswer: n*(n + 3)*(n + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + -10 + (7 - 2) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 29 - 25 - 29 = -8*l + 3*l - 43, 2*l - 5*p = -100 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*v = 200, -r - 233 = -4*v - 39. Let d be (4\/(-18))\/(22\/r). Factor -2*p**3 + 27\/4 + 0*p - 9\/2*p**d - 1\/4*p**4.\nAnswer: -(p - 1)*(p + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + (-4 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 698555*a*d**5 - a*d**3 + 90*a*d - 18787*a wrt d.\nAnswer: 13971100*a*d**3 - 6*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 3*v. Let g(y) = 4*y**3 + 18*y**2 - 19*y + 1. Determine g(a) + 6*u(a).\nAnswer: -2*a**3 + 12*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n = -27. Suppose -a + n = 2. Let v = a - 4. Solve h - v*h = -4, -2*i - 5*h + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/(-140))\/(2 - 9\/15). Let x = 7 + -11. Let d = x - -4.1. What is the closest to 0.4 in 2\/7, d, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3877 - 13955 - 8947 + m**2 - 24601 + 2277.\nAnswer: m**2 - 41349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*q*y - 9977*i*y + 1816*q*y + 2*q with respect to q.\nAnswer: -i*y + 1816*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/2 - 35*g**3\/3 - 11*g**2\/2 + 23*g + 4. What is the lowest common multiple of i(-11) and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 6 = 7*i - g, 4*g = 5*i - 11. Let p(n) = n**2 - n - 1. Let h(b) = 3*b**3 - 6*b**2 + 6*b + 2. Give i*h(f) - 6*p(f).\nAnswer: -3*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*g + 3, 2*g + 7 = 3*g + 5*t. Suppose g = -3*n + b + 7, -n + 5*b - 17 = 0. Suppose -4*l - 3 = 5*o, 5 = -2*l + 4*o - 3. Sort n, 1, l.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667338642.\nAnswer: 2, 3, 12358123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 40?\nAnswer: 37\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 6*n + 2*n + 2*n - n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-150)\/24 - -4)\/((-1)\/4). Solve 14 = l + 3*a, l = -a + n - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82838524 divided by -4?\nAnswer: -20709631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-107792*g + 53899*g + 53221*g**2 - 2 + 2 + 53893*g).\nAnswer: -159663*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.5 (c) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*4\/6*9\/((-108)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l. Suppose 0 = -4*u - 3*z, -5*u + 35 = -l*z - 5*z. Suppose -12 = -0*b - 3*b - j, 0 = u*b + 3*j - 12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 - 3*d**2 - d + 2. Let p be y(2). Suppose -s + 3*q + p = s, -s = -q - 21. Calculate the remainder when 74 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 3. Let v(j) = 2*j - 6. Let i(n) = 3*q(n) + 2*v(n). Let a(w) = 3 - 2 - 4 + 2. Determine -4*a(t) + i(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 115*v**2. Let g(x) = -12*x. Determine s(g(k)).\nAnswer: 16560*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/17 in 1\/5, 3, -1, 2, -1\/5, -255?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 13. Let t be 1\/(2\/y)*2. Solve 0 = -f + 5, -3*f + 28 = t*m + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7117.\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 - 149. Find the common denominator of (13\/6)\/((-4)\/21) and (-194)\/f - (-3)\/9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -399 - 0 - (-7 + 7). Let x = -261 - y. Let d = x - 9. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 85584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 6*a + 22 - 60 - 7*a.\nAnswer: -a - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 2232.\nAnswer: 669.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -611426 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*v - 26315 = 545*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10347110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 30*d - 32 = -26*d, -3*a - d = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*i**3*k**2 - 568*i**3*k - 3*k**3 wrt k?\nAnswer: -232*i**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 16387461?\nAnswer: 360524142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6133613 milliseconds to microseconds.\nAnswer: 613.3613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 5. Suppose -3*p + 4 = -4*p. Let s(z) = 37*z - 16*z - 2 - 16*z - 2. Give p*n(q) + 5*s(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -304*o**2 - 991*o - 221. Determine l(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3808, -7476, -11120, -14740, -18336?\n\"Answer: 12*a**2 - 3704*a - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4366, 4548, 4730, 4912?\nAnswer: 5094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 282*o - 107631 - 357387. Solve 0 = 8*w - o + 1705 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144539990*n**2 + 104682467*n + 1 wrt n.\nAnswer: -289079980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v + 16, v = 3*h - 8 - 0. Suppose 4*x = h*r + 56, 52 = 4*x - 2*r - r. Solve -s = 4*u - 3, 5*s + 2*u = s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2267.5 - -2267. Which is the closest to 1\/2? (a) u (b) -1\/3 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-1 + 3 - 2). Suppose -5*r + d - 2 = 0. Let z = 5 + r. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3646 divide 17785188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d - 148*d - 14*d**2 + 6*d**2 + 6*d**2 to x*d**2 + h + u*d and give u.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241*i - 39371 = -9337*i + 597419 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 15. Let t(m) = -m**2 - 7*m. Let s be t(-7). What is the remainder when 27 is divided by f(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*(-120)\/45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18056021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:16 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 5\/5 + (-3)\/(-1). Let k(t) = -10*t - 1. List the prime factors of k(q).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 + v - 2. Let b be x(3). Suppose 5603 = b*h + 1943. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29559 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 33411740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - -269*(-62)\/(-93)*(-3)\/(-2) is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12802 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 11*c**2 - 20*c + 4. Determine k(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/3)*a*a*a**1*a)\/(a\/a**2)**(-4))**(-5) assuming a is positive.\nAnswer: a**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 5. Let c be b(0). Let v be -1 - (((-32)\/60)\/4 + 219\/(-45)). Solve 3*m + v = -c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 590*r + 11419 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*h = 3, -3*g = -0*h + 5*h + 6. Suppose -13 = -4*z + 4*u - g*u, 4*u = 3*z. Find the third derivative of -1 + z*o**5 + 1 + 7*o**2 + 0*o**2 wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-10)\/3 - -4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 39 + 7 = 0. Let b(z) be the third derivative of z**5\/60 - 3*z**3\/2 + 3*z**2. Is b(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 335960 - 42?\nAnswer: 33591c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 414420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from 0.784119.\nAnswer: -37.215881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 297186*l**5 + 110*l + 1535?\nAnswer: 5943720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 2, 6 = 4*q - w. Suppose 10*t + q*t = -2124. Let r = t - -285. Calculate the greatest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20854257887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a tonne in kilograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -245\/3. Let y = -633\/296 + 256559\/84952. Let x = y + -1\/41. What is the nearest to t in 1, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 472\/14 + 10\/35 - -3. Let m = 43 - j. Let n(g) = g**2 - 3*g - 3. What are the prime factors of n(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1079*o. Let t(n) = 6*n**2. Determine q(t(x)).\nAnswer: 6474*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -4. Let k = j - 3. What is the tens digit of (4 + -2)*(26 + k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 241\/9. Let k = -1 - -0.8. Sort k, -3\/4, b.\nAnswer: -3\/4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 878350.5 to the nearest 10000.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + -1)\/(-4)*-1. Let s be ((-184)\/115)\/(z\/20). Suppose -s*t - 448 = -1232. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 72846585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 67504*u + 1213776 = 0. Calculate u.\nAnswer: -16858, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1015245 - -5?\nAnswer: -1015240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -9*v**5\/20 + v**3\/2 + 5*v**2\/2 - 74236*v. Let u = 4 - 9. Let j(m) = 10*m**3 - 3*m - 6. Calculate u*j(s) - 6*w(s).\nAnswer: 4*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 252105.1042267?\nAnswer: 252105.0042267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 62. Determine c(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376 + -360. Let u be -9*(-1)\/(-2)*-4. Let k = u - i. Let h(d) = -2*d**2 - 2*d + 1. Determine h(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -412.55 + 418.55. Which is the nearest to k? (a) -1 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:12 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 8*y**2 + 7*y + 2. Let r be i(7). Suppose 166 = -4*u - 5*f, 4*u + 2*f + r*f + 164 = 0. Let z = -13 - u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1. Let m(p) = 9*p**2 - 12. Suppose -49 = -47*y - 2. Determine y*m(u) - 9*d(u).\nAnswer: 9*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g + 3*g + 11*g - 2 + 7 wrt g?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13726, -13699, -13654, -13591, -13510?\nAnswer: -13411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 11 - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Solve -3 = f, -5 = 3*v + f + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 2. Let a = 12 - 1. Suppose -12*q = -a*q - 4. Sort -1, q, h.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1136*o - 728*o - 8 - 8 - 357*o - 518*o + 3 + 2*o - 3 + (-2*o + 2*o - o)*(-5 + 0 + 3) - 3*o + 0*o + o to the form u + y*o and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42037 and 111506?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 = -w. Let j = 6 + -5.7. Sort j, -1\/4, w in decreasing order.\nAnswer: j, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47196)\/83904)\/((-3)\/8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-180))\/(6\/(-10)) + (-646)\/1071.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2243*i**2*l**3 - 64*i**2*l + i*l - 2*i + 15*l**3 + 207*l wrt i?\nAnswer: 4486*l**3 - 128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3213*x**3 - 6179*x**3 + 11859*x**3.\nAnswer: 2467*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 6, -5, 551, 0.8, -1\/2, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*d = -17, 78*d = -5*i + 80*d + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8324441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5733*z**3 - 2867*z**3 + 6*z**2 - 2863*z**3 - 5*z**2 - z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.366239 centuries?\nAnswer: 336.6239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686698417 and 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 22 - 7)*(-7*n**3 + 3*n**3 - 3*n**3).\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -57*k - 398 - 610 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725.515l in millilitres?\nAnswer: 1725515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*z + 31, -176*u - 2*z = -178*u + 24. Solve -12*j + u*j - 21 = -4*l, 7 = -3*j + l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 158, 0, 2.\nAnswer: -0.1, 0, 2, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2261 + 0?\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2\/2 - 1540*a + 3085\/2 = 0.\nAnswer: -617, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 - 3*b**3\/2 + 8*b**2. Determine z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 1:35 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-5)*-131*20. Suppose 102 + 102 = 102*y. Suppose 3*z = 3*d - w, 3*d + y*z - 4162 = -d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 810914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -11294010036.6.\nAnswer: -11294010036.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -91. Let z = y + 29. Let f be (-1)\/(-3)*z*(-279)\/(-62). What is the greatest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)\/j*j*j)\/j)**(-30)*(j*j**3)\/j**9 assuming j is positive.\nAnswer: j**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171389 days in nanoseconds?\nAnswer: 14808009600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, -0.1, 0, 3, -23 in ascending order.\nAnswer: -23, -0.1, 0, 0.1, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 135959021?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39734 + -39730. What is the biggest value in -2\/15, z, -3\/4, -0.029, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18118611 * -49\nAnswer: -887811939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Let w = -9 - -11.8. Let f = d + w. What is f rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 26 - 26 = 4*q, 0 = 3*x + 2*q + 43. Let p = x - -23. Solve 4*h = 26 - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1.8, -1\/5, 24, -22\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 184?\nAnswer: -97\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 604362?\nAnswer: 604358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, z: 4}. Give prob of sequence zztt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:00 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/124 + -239\/372. What is the nearest to c in -8, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let x be y(-2). Calculate the remainder when 15 is divided by ((-4)\/x)\/(2\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 404. Let n = x - 312. Let v be ((-30)\/n)\/(6\/8). Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 7*g**2 - 3*g**2 + (g - 4*g + 0*g)*(5 + 2*g - 5))*(-1 + 0 - 1)*(-1192 - 1490 + 2339).\nAnswer: 2058*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - -16. Let l = c + 87. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1644 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 -133\/690 and -107\/1702?\nAnswer: 25530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 e when four letters picked without replacement from egeeeg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {k: 2, t: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 21)*(-1 + 1 - 3*q)*(-2*q + 18*q + 12*q).\nAnswer: 1596*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 21 = -6*d + 3*d, 4*u - 2*d = -20. What is the tens digit of ((-915)\/10)\/u - 1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2772615 and 8715.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-6)\/8)*(-16668)\/(-39). Let y = b + -961. Solve 56\/13*f + 98\/13*f**2 + y = 0 for f.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -26*w**2 - 2. Let r(l) = l**3 - 78*l**2 - 7. Calculate -4*r(n) + 14*y(n).\nAnswer: -4*n**3 - 52*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 40, -37, 4 in decreasing order.\nAnswer: 40, 5, 4, -12, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -11\/14*q**5 + 0 - 8\/7*q**3 - 4\/7*q**2 - 53\/42*q**4 - 9\/35*q**6 - 5\/147*q**7 + 20*q. Solve u(p) = 0 for p.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102434*w**3 - 670483*w wrt w.\nAnswer: -614604*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 147766 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-15)*-1 + 1258\/(-85) + 14 + -31.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 5. Let s = -14 + 5. Let a be l(s). Suppose -w - 4*w + 23 = i, 2*w + a*i - 20 = 0. Solve -k - 6 = w*f, 2*f + 4 = 4*k + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-924)\/(-48)*(5 - (-198)\/(-22))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 28 = 3*w, -2*n + 3*w = 15 + 50. Let s = 56 + n. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52002 and -5.\nAnswer: 2.6001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1113, -132, -2, -1, 2, -5 in ascending order.\nAnswer: -1113, -132, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 4)*(0*o - o - o)*(-2*o + 9*o - 8*o) as t*o + a*o**2 + i and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, p: 12}. What is prob of sequence vppp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:48 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 170087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -20*r + 21*r - 4*t, 53 = r + 5*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714386 is divided by 1083.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + 2*sqrt(171) + sqrt(171))\/sqrt(9) + sqrt(190)\/(sqrt(10) - sqrt(160)))*1*5*4.\nAnswer: 280*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221301 (base 4) in base 16?\nAnswer: 3a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 18 - 19 + 3*i)*(2 + 3 - 6).\nAnswer: -6*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5852)\/99)\/(-19)*6\/8.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/27)\/((-5)\/(-3)). Let w = 0.5 - 0.4. Let y = 0.2 + w. Put -4, n, y in ascending order.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 14*b**2 + 21. Let g be j(14). Put -2, g, 1 in ascending order.\nAnswer: -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 25. Let v(o) = 11*o**2 - a*o**2 + 7 - 8*o**2. Let y(s) = s**2 - 3. Let t(r) = -3*v(r) - 7*y(r). Let x(w) = 7*w**2. What is x(t(m))?\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 81*g**2 + 500*g + 145. What is the units digit of v(75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 8. Let v(o) = -6*o + 8. Let y be ((-2)\/3)\/(6\/54). Let m(t) = y*v(t) + 7*w(t). Let q be m(-4). Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 97\/6, 1, -2950 in ascending order.\nAnswer: -2950, 1, 1.3, 97\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 591, 1642, 2693, 3744, 4795, 5846?\n\"Answer: 1051*b - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + -24?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:17 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)\/(y*y*y\/(y\/(y*y**(16\/5)))) assuming y is positive.\nAnswer: y**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 29*p**4\/24 - 85*p**2. Let z(s) = s. Calculate t(z(l)).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 47173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p**2 - 105. Let q(u) = 2*u. What is q(d(x))?\nAnswer: 28*x**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 773070 divided by 365?\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(((-92)\/36)\/23). Sort 0, -32, d in increasing order.\nAnswer: -32, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -776069 or -776070?\nAnswer: -776069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3, 0.059, 16, -8, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 - s - 3. Let f = -5 - -6. Let c = f + -5. Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z**2. Let s(j) = -j**2 - j + 1. Let f(g) = -g**2 - 3*g + 3. Let q(l) = f(l) - 3*s(l). Calculate q(b(m)).\nAnswer: 450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-12)\/(-8))*2. Let t = j - -5. Suppose 1 - 4 = -3*p, 2*o = t*p + 6. Solve 1 = g - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201, 200, 199, 198, 197?\n\"Answer: -s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/9)*m))\/(m**(-8)*m)*m**(1\/5)\/(m\/m**(2\/11)) assuming m is positive.\nAnswer: m**(3049\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -20. Let q be (87\/(-18) - -1) + y. What is the smallest value in -0.02, 0.2, q?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.7 + 49. Let m = x + -10. Let y = 11 + -6. Put y, m, 0.1 in ascending order.\nAnswer: 0.1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22908.49l in millilitres?\nAnswer: 22908490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.2475 and 4.\nAnswer: -24.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffz when four letters picked without replacement from {z: 4, k: 2, f: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2309\/315 + 47\/105. What is the common denominator of b and -52\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, 5, -3, -23053 in decreasing order.\nAnswer: 5, 4, -1, -2, -3, -23053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 4. Suppose -17*j + 26 = -8. Calculate i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 51542*y - 309241. Give k(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 + 64*r**2 + 127*r + 497. What is p(21)?\nAnswer: 3605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -23 - 3 - 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d - 22*d - 31*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*k + 27, 3*s - 2*k = 2*k - 35 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 12*f + 1. Suppose 2*k = -30 + 46. Is z(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -13. Let t be (-51)\/(-12) + q\/(-20). Suppose l + 72 = t*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -5\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -23, 13, 55?\n\"Answer: 3*w**2 + 21*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Let p be (0 + 0)\/3 - d. Solve -5*m = 3*a - p*m - 26, 5*a = 3*m - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:34 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54979*u + 53312*u + 49300*u.\nAnswer: 157591*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t + 4. Let i be l(3). Suppose 5*d - 89 + 19 = 5*u, u = -3*d + i. Suppose -2*r + 4*a + 36 - 10 = 0, -2*r = 4*a - d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 11 = -b - 8*s + 25*s, 3 = -b + 6*s for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 98*m**3 + 9*m**2 + 9*m - 14. Let d(q) = -99*q**3 - 8*q**2 - 8*q + 13. What is -8*b(n) - 9*d(n)?\nAnswer: 107*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x. Calculate m(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/1080*-27*1\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/8 + 13*v**3\/2 + 75*v**2\/4 + 37*v\/2 + 57. Factor l(c).\nAnswer: (c + 1)**2*(c + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 - 7*n**2 + 3*n - 5. Let l(w) = -9*w**3 - 14*w**2 + 7*w - 10. Let r(h) = -11*f(h) + 6*l(h). Is r(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1206 + 1954. Let m = l - 465. Suppose m = 5*d + 58. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-d**2 - 9*d**2 + 11*d**2) + (0 + 1 - 4)*(10*d**2 - 3*d**2 + 8*d**2).\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39856 = -3*w + 4*u, -2*w + 30083 = -3*u + 3511. List the prime factors of w.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28349239 is divided by 1323.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(4\/(-8)). Let k be 1\/z*3*4. Solve -2*w + 4*w + 5*l = -8, w = k*l + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 168 = 56. Let b be (-1771 + 1)\/((-12)\/8). Suppose 4*q = y*q - b. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 8:22 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) -20 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 18 + 2. Calculate the greatest common divisor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 20*m**2 - 39*m - 17. Calculate the remainder when 144 is divided by d(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/1)\/(-1))\/((-18)\/72*-24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 109.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) + ((-30200)\/(-1225))\/8 - 3.\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 25*l**2 + 276*l + 1079. Let k be v(-4). Calculate the greatest common divisor of 2085 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9096 + -7536. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 0*v**2 - 2*v**2)*(-56*v + 13*v**2 + 56*v).\nAnswer: 39*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from lllvvlvvlvvvlrjrvj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + 10004212?\nAnswer: 10004114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72595 + -72594.999938867. What is l rounded to 6 decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/11 (b) 105159 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881*u**2 + 438*u**2 + 441*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:57 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0272 + -0.9272. Let k = -6 + 10. What is the nearest to -2 in a, k, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 90170.2 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567517 greater than or equal to 567524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 647368 = 599769 - 280843. What are the prime factors of f?\nAnswer: 2, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w - 1. Let d(h) = -3*h**3 - 5*h**2 + 7*h + 5. Give d(g) + 5*k(g).\nAnswer: -3*g**3 - 10*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13909 - -33349. Is 80 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(21)*4*2)\/(3*((sqrt(216) + sqrt(24) - sqrt(24))\/sqrt(8) - sqrt(3))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*k + 63*k - 410*k - 2*k - k + 4*k + (2*k + k - 4*k)*(5 - 1 - 2) - 3*k + 3*k - 2*k + k + k + 0*k + 17 + 3*k - 17.\nAnswer: -309*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 35. Suppose 0 = s*x + x - 76. Factor -23*z**4 + z**3 + x*z**4 - 9*z**3 + 4*z**5.\nAnswer: 4*z**3*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 18 = -2*p, 4*p - 2*t + 4 = 3*p. Let w(g) = 166249*g - 8. Let k be w(p). What is k rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1065*y**5 - 42362*y**3 - 13120494*y**2 + 5*y?\nAnswer: 63900*y**2 - 254172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104763 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: Solve -1426*k - 3*z - 33 = -1424*k + 2, 69*k - 4*z = -670 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 414.\nAnswer: 41\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21.4 times -2\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 9, t: 2, l: 3, q: 2}. What is prob of sequence tqlt?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3509 (base 10) in base 3?\nAnswer: -11210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*g**2 + 56*g**2 - 216*g**2 + (-2*g**2 + 6*g**2 - g**2)*(-5 - 1 + 2) - 6*g**2 + 5*g**2 + 5*g**2.\nAnswer: -58*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 5, 4, 17, 50, 109?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 3*l**2 - 2. Let d(w) = 12*w**3 - 15*w**2 + 15. Calculate d(j) + 5*p(j).\nAnswer: 7*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:24 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:52 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -4 - (sqrt(2) - (sqrt(2) + (sqrt(28)\/sqrt(2))\/sqrt(7))**2).\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 13. Let j be k(8). Suppose -v - 10 = -4*v + 5*g, 0 = 2*g - 2. What is the greatest common divisor of j and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 39*u. Let i(r) = 9*r**2 + 13*r. Determine o(i(g)).\nAnswer: 351*g**2 + 507*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l**3 - 4*l**2 - 2*l - 6. Let f be w(-3). Calculate the greatest common factor of 32 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -51.3862.\nAnswer: -15.41586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3 - x**2 - 7*x - 66. Let q(u) = -3*u**2 - 2*u - 8. What is 5*q(r) - 6*w(r)?\nAnswer: 3*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -194?\nAnswer: 17\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m + 56. Give p(-24).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a + 3. Let u(s) = 8*s + 2. Let l(t) = -6*n(t) + 7*u(t). Let y be (-120)\/(-5) - (-522)\/(-29). What is l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Suppose -f + l*f + 13 = 0. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + 2*n)*(-n - 2*n + n) - 2*n**2 + 11*n - 11*n + (273*n - 205*n - 137*n + (3*n - 2*n + n)*(1 - 2 - 3))*(-1 - 2*n + 1).\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -266*f + 9. Let h(q) = 1068*q - 38. What is -2*h(a) - 9*z(a)?\nAnswer: 258*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*g - 71*g + 85*g to o*g + z and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16403530 to the nearest 10000.\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 558285*t + 558290 = 0.\nAnswer: -111658, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*b**2 - 132747*a**2*b**2 + 231895*b**2 wrt a.\nAnswer: -3*a**2*b**2 - 265494*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 9. Let a be w(9). Let u(x) = 32*x - 40. Is 28 a factor of u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {j: 1, o: 1, k: 1, y: 3, t: 2, r: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9101847 is divided by 9101834.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55778 + 111558 + 11801*m - 55780)*(2*m**2 - m**2 + 0*m**2) to the form h + f*m**3 + q*m**2 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18175049 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85604*z - 85505*z = -5049 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l - 27*l**2 - 3*l + 56*l**2 + 11*l. Let r(b) be the first derivative of 4*b**3\/3 + 5. Give r(n(o)).\nAnswer: 3364*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 24*m - 120. Let p be s(-16). Let q = p - -251. Solve -q*d + 15 = -2*k - 1, 5*d + 3*k = 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92941 is divided by 255?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*w - 20, 5*k = -4*w - 18 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-711)\/(-513) + 4 + (-847)\/209. Solve 14\/9*c**3 + 34\/9*c + 34\/9*c**2 + 2\/9*c**4 + y = 0 for c.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {t: 3, a: 1, g: 1, s: 2, r: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:46 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose w*p = -0*p + 164. Calculate the remainder when p is divided by (-7)\/(-14)*-14*12\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1847 + 6903. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((17 - 32) + 15)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose -12 = -z + k*b, 4*z = 2*b + 31 - 11. Solve -2 + 8 = f + g, 0 = -f + z*g - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.73, 45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109270, 218625, 328066, 437587, 547182, 656845?\n\"Answer: -p**3 + 49*p**2 + 109215*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196271743 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105034644 and 30888?\nAnswer: 210069288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 + 20?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2. Let w = -1 - 1. Let g(t) = t + 1. Let x(r) = w*g(r) - h(r). Let a(p) = p. Determine -9*a(f) - 4*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 290 - 3?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2 + 2*g - 3. Let n be l(4). Are 6 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 2:12 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(133) + (sqrt(133) - sqrt(133)*-2*5) - sqrt(133)*1*2))\/((sqrt(448) - -1*sqrt(448)*-2) + sqrt(448)*2*-4).\nAnswer: -25*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*l + 404470 + 643150 + 478289. What are the prime factors of l?\nAnswer: 7, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14623.2198 to the nearest ten.\nAnswer: -14620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*w**2 - 192362960*w + 192362960*w.\nAnswer: -275*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 115. Let b be o(17). Is 23 a factor of 828*1*b\/(-8)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.57 in -0.029, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140233 - 10?\nAnswer: -140243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (4\/(-4) - 2). Let u(k) = k**2 - 5*k - 6. Determine u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91782 is divided by 2530.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578896 and 5441312?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**7\/280 + z**5\/60 - 4*z**3\/3 + 8. Let r(p) be the third derivative of c(p). Find the second derivative of r(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 34 = n + 53, 5*n - 7*n = 37*r - 0*n + 327 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 + 7*o**2 + o + 3. Let f be t(5). Suppose b + g - f = 0, -2*g + 0*g = b - 687. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62 + -1 - (148 + -156)) + 8 + 13 + -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46159, -42167, -38177, -34189?\n\"Answer: -p**2 + 3995*p - 50153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:09 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/47 - 171\/517. Let x be -2 + 2 - (-51)\/68. Suppose -5*h + 8 = -3*v - v, -v - 2 = -3*h. Which is the smallest value? (a) l (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 31152316*h + 242616698040964.\nAnswer: (h + 15576158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7721 (b) 70\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/720 and 17\/24.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -769267.754 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1132946850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 235468 (base 10) to base 11\nAnswer: 150a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(18\/(-6))\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*k - 352*k - 11833 = 14516 + 4431 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/(-172)*4\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2158 and 8501831?\nAnswer: 1411303946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/36 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 143*v**9\/504 - 133*v**5\/20 + 167*v**2. What is the third derivative of k(u) wrt u?\nAnswer: 17160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*f - 5*f + f)*(-2 + 0 + 1) - 8*f + 13*f - 17*f + (1 - 5 + 3)*(0*f + 2*f - 4*f) - 1 + f + 1)*(119 + 78 - 287)*(-1 + 0 - 3) to n*f + m and give n.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)\/(h*h**(6\/5)*h))**(16\/11)\/(h**(1\/8)*h*h**8)**(4\/9) assuming h is positive.\nAnswer: h**(-10063\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-4 + sqrt(152) + (sqrt(152) - (sqrt(152) - 4*(sqrt(152) + 1*sqrt(152)) - sqrt(152))))\/(-5*(sqrt(968) + -2*-1*sqrt(968) + sqrt(968))).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**9\/504 - 3*v**5\/40 + 2*v**3\/3 + 11. Let j(t) be the third derivative of d(t). Find the second derivative of j(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/(((-14)\/105)\/(-2)). Sort 2, -4, 0, u in descending order.\nAnswer: 2, 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/3 - 3\/(-9). Let q(s) be the third derivative of 0 + 0*s**3 - 2*s**2 + 0*s**4 + 1\/60*s**6 + 0*s + 1\/30*s**g. Find the third derivative of q(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7171502 is divided by 2042.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u + 8. Let k be t(-9). Let h(o) = o**2 + 8*o - 4. Let c be h(k). What is the units digit of (-4)\/c + (-178)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = p - 20, -2*p + 3*p - 23 = 5*m. Suppose 0 = 2*n - 44439 + 43509. What is the remainder when n is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -56*l - 1716. What is the remainder when s(-121) is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 24084 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 3.5. Let t = 9 - g. Let l = -1.4 + 1.7. Which is the nearest to 2\/7? (a) l (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h**2 - 138*h**2 - h**2 - 52*h**2.\nAnswer: -228*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 4*d**2 - 11*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 3, 20 = -2*p - 4*s. Suppose 5*q + 5*t - 8*t - 5517 = p, 4*q - 2*t - 4412 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccy when three letters picked without replacement from {y: 14, c: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 44*s**2\/5 - 112*s - 320.\nAnswer: -(s + 4)*(s + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 4, -842, -1 in descending order.\nAnswer: 4, -1, -5, -6, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3) + 2)\/2. Let u = v - -3. Suppose z - 54 = -u*z - 2*y, -3*y - 69 = -4*z. Solve -z = -3*q + 8*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 11. Let p be x(5). Sort p, 1, -2 in decreasing order.\nAnswer: 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or 189\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66361 is divided by 16527?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98490)\/94470*10\/(-245).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-35) - (-158)\/(-14). Let v = -43\/4 - k. Which is the closest to -1\/2? (a) -0.3 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.22, -0.6, 3\/8, 0.24, 0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-7) - (-3)\/(0 - -21). Sort y, 2, -2 in ascending order.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {t: 9, f: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1567?\nAnswer: -2\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020102101 + 101?\nAnswer: 1020102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(2*sqrt(324) - sqrt(324)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.4 (c) -3\/10 (d) 367 (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*n + 12474 = 0, -7*k + 11*k = -2*n + 49812. Calculate the greatest common divisor of k and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -46*k + 522, 2*k - 7*k - 8*k = -9*k + 4*p - 60 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a - 2. Let g be w(2). Suppose -k + g*u = 2*k - 50, 5*u - 25 = -5*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 77.094. Let t = c + -0.185. Let z = 0.29 + t. Round z to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283c (base 13) to base 11\nAnswer: -43a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*a**3 + 69*a + 40*a - 10 + 43*a + 116*a**3 - 152*a.\nAnswer: -3*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 7*v**3 + 3*v - 3*v to c*v**2 + n + o*v**3 + r*v and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1822 in descending order.\nAnswer: 1822, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-51))\/(-40*(-39)\/13260).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -22, 17?\n\"Answer: 39*y - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffd. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*f - 23. What is v in 10*v**f - 12 + 3*v + 17 - 13*v - 5*v**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 12*j**2 - j + 13. Let y be b(12). What is the closest to y in -1\/3, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353250, 1353168, 1353096, 1353040, 1353006?\nAnswer: 1353000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(48\/6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 + ((-655)\/(-70))\/1)\/1 and -2\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*d**2 + 15*d**2 + 14*d**2 + 7*d**4 wrt d?\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 22*c**3 - c**2 - 2*c + 3. Let t(m) = -m**3 + 2*m**2 + 3*m + 2. Let l be t(3). Suppose 3*q - 2*q = l. List the prime factors of y(q).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/56)\/((-6)\/8). Put 5, u, 8, 0 in descending order.\nAnswer: 8, 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 189?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4290 = -1100. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = -1, -3*z = 5*x - 17. Suppose 0 = -x*o - 26 + 2. Is ((-3)\/o)\/(2\/308) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/2)\/((-4)\/6). Suppose -6 = -3*n + 3*v, -g*v + v = -8. Let q = 2 + 0. Solve 5*j - n = y + 2, 4*y - 3*j = q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z - 213. Let k be u(25). Solve 32*n + k = -59 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 4 + -24 + 11\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + -1 - -2. Let t(f) be the first derivative of 0*f**2 + 0*f**u + 2 + f**2. Let r(x) = 2*x**2. What is t(r(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1133750, -2267105, -3400460, -4533815?\n\"Answer: -1133355*g - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-1 - -10) + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16750 or -16761?\nAnswer: -16750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 504236 - 132324. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982.98967 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -30*i - 27*i - 3*i**2 + 2*i**2 + 55*i + 4. Give o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18616 - 353574\/19. Let q = 227\/114 + s. Find the common denominator of q and 1 + 103\/14 + (-7)\/49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 2\/11, 0.2, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/7)\/w**(-2\/15) assuming w is positive.\nAnswer: w**(-61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 101735373 to the nearest 100000.\nAnswer: 101700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47013210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.8 + -26. Which is smaller: c or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -2) - (-1 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -5 in increasing order.\nAnswer: -5, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(15\/(-50)) + (-23155)\/(-1925) and (-134)\/(-80) + (-2)\/1.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 4. Let f be u(-6). Let p = -109 + 104. Let o(s) = s**3 - 44*s**2 + 125*s - 85. Let m be o(41). Put f, 3, p, m in decreasing order.\nAnswer: 3, f, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1776)\/(-1554)*(-2)\/(-16). What is the fifth biggest value in 0, -0.3, o, -3, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 + 449 = 3*b + 2*y, -3*y - 720 = -3*b. Suppose -2*d = -4*d + b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233785?\nAnswer: 5, 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -2*j - 6, 0 = -5*j - 2*r + 16. Suppose -4*m = -j*m - 6. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-35 + 34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1630353 + -829204. Suppose -2*t + 1760015 = -3*i, h = -5*t + 4*i + 5201169. What is t rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163289\/32 + -5101. Find the common denominator of 45\/88 and k.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356056682 to the power of 1\/2, to the nearest integer?\nAnswer: 18869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1669 and 1.\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**7\/70 + a**6\/40 - 9*a**5\/20 + 3*a**4\/8 + a**3 - 57*a**2\/2 + 53. Let z(r) be the second derivative of j(r). Factor z(x).\nAnswer: 3*(x - 1)**2*(x + 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5057 - -18?\nAnswer: 5075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1687, -3387, -5087, -6787, -8487?\nAnswer: -10187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, -5, -0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1037118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*x**4 + 11351*x**3 + 5*x - 4*x**2 - 11351*x**3 to the form f*x**2 + k*x**4 + u*x**3 + a*x + r and give k.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 12*u**2 - u + 22. Let s be j(-11). Suppose -2*k = -13*k - s. Let y be 4\/(k\/(-12) - (-2)\/(-12)). Solve -29 = 5*n - y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:00 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*t + 29. Let s(l) = 9*l**4 + 4*l**3 + 4*l**2 + l + 40. Let m(c) = c**4 - c**3 - c**2. Let h(k) = t*m(k) + s(k). Differentiate h(r) wrt r.\nAnswer: 52*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 - r**4\/3 + 5*r**3\/6 - 6*r**2. What is the units digit of x(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12613\/6 - -2093. Let w be 2\/(-20) + 29270\/(-100)*-23. Calculate the common denominator of w\/(-88)*1\/(-41 - 1) and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (-23 - (16 + -19))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40506*x**2 - 9542*x**2 + 5564*x**2 + 23873*x**2.\nAnswer: 60401*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56487 divided by 56487?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1152, -1\/202, 5, 5\/24?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2. Let w(j) = -30*j**2. Give w(r(u)).\nAnswer: -2430*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 13, -2, 25, 1 in descending order.\nAnswer: 25, 13, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.09 (b) -5 (c) 0 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1829000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.0306035.\nAnswer: 0.061207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 5, h: 1, y: 3, n: 2}. Give prob of sequence fn.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 585165*y - 12872178 = 0. What is y?\nAnswer: 22, 195033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 56 = 703. Let m be 4*(-39)\/495 + (-6)\/c. What is the nearest to 2\/7 in -2, m, -1.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*y + 2 = 0, 2*y - 1201 = 4*t - 1215 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300 - -905\/3. What is the closest to 10 in -0.5, -1\/7, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -14*p + 24318. List the prime factors of (2\/6)\/((21\/p)\/7).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/6 + w**3\/6 - 7*w**2 - 2. Let t = 8 + -6. Determine k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*a - 419*a - 748*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37714, -37713, -37712, -37711, -37710?\n\"Answer: b - 37715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8876 a factor of 1717783302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(128) + 2 + -4))**2.\nAnswer: -288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -163. Let s = -16.06 - -0.06. Let u = 15.9 + s. Which is the third biggest value? (a) -1\/20 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**3 + 25. Let h(k) = -13*k**3 - 24. Let z(g) = -5*b(g) - 4*h(g). Differentiate z(p) with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 51. Suppose 3*t + 5*u - 184 = 0, t + 9*u - w*u - 58 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 130 = -5*b. Suppose -2*k + 4*k = 4*l - b, k - 29 = -5*l. Is 119\/9 - l\/27 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 3*j + (2*j - 4*j + 3*j)*(-1 + 2 - 2) + j + 0*j + j)*(23*j**2 - 4*j**2 + 9*j**2).\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*-1 - sqrt(77) - sqrt(77))*5)\/(sqrt(1331) + (-1*sqrt(1331)*4 - sqrt(1331))).\nAnswer: 25*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*h**3 - 32*h**3 - 25*h**3)*(0*h + 2*h + 3*h).\nAnswer: -170*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 166468385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -624*n**4 - 1264*n**3 - 2323*n**5 + 383*n + 462*n + 632 + 2327*n**5 - 8*n**2 + 415*n.\nAnswer: 4*(n - 158)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/60 + z**3\/30 - z**2\/5 - 2*z - 8. Let f(h) be the first derivative of v(h). Find x such that f(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 2*x**3 - 2*x**3 + (2*x + 2*x**2 - 2*x)*(29*x + 2 + 264*x + 321*x).\nAnswer: 1226*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 3 + 3)*((8*a + 0*a - 3*a)*(2 + 0 - 1) + 2*a + 2 - 2 + 28*a + a + 52*a) to the form k + p*a + r*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - q = 9, -6*p + 5*p = q + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48976 times 13?\nAnswer: -6.36688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 648*f**2 + 4*f - 6. Let g be (8 + -11)*2\/(-6). What are the prime factors of c(g)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8*i + 2*h - 3855, 3*i + 3*h = 3852. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxvsvtttyyvtpp. Give prob of sequence yx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f + 4. Let s be (0 - (-3 + -1))*-1. Let t be i(s). Let n = 56 + t. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vjjjjjvjjjevvvvvv?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 554\/75 + -168\/25. Factor 8\/3 - 4\/3*t + 1\/3*t**3 - q*t**2.\nAnswer: (t - 2)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 29. Suppose -6774 = -4*t - r, 5*r = -t - s*t + 5089. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76695, -159943, -243191, -326439, -409687, -492935?\nAnswer: -576183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 20. Suppose g*w = 2*h - 22, -4*h - h + 11 = w. Solve 13 = h*i - 2*j, 4*i - j = 4*j + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7067143*b**6 + 9*b**5 - 21908813*b**2 - 1 wrt b.\nAnswer: -848057160*b**3 + 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 81468276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 + 9335*i\/2 - 23400.\nAnswer: 5*(i - 5)*(i + 1872)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 1. Let j(f) = 6*f**2 + 7. Suppose -1 = 3*u - 2*u. Let v(z) = u*j(z) + 3*x(z). What is the first derivative of v(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0 (c) -18 (d) 1\/3 (e) -2 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 566 - -17?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87257.77ug to grams.\nAnswer: 0.08725777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 9?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92853 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -3022?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = 8*u - t, 0 = 5*u - 5*t - 5. Let w = -4.4 - -5.4. Which is the nearest to w? (a) u (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 4*w**2 + 2*w**2 + (3*w**2 + 2*w**2 - 4*w**2)*(-326 - 34 - 81) + w**2 - 4*w**2 + w**2.\nAnswer: -442*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14078882 divided by -446?\nAnswer: -31567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let u be (3 - 1)*(-27)\/(-18). Factor 0*x**u + p + 1\/5*x**4 + 0*x**2 - 1\/5*x**5 + 0*x.\nAnswer: -x**4*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*(1 - (-8)\/(-6)). Let u = -1 - -0.5. Which is the second smallest value? (a) y (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z - z**2 - 85*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -2*n - 72 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*-2 + 1*sqrt(7) + 4)**2 + 5.\nAnswer: -24*sqrt(7) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645311052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 2.93. Let w = -391 + 391. Which is the closest to 2? (a) 5 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 2*b**2 - 642*b + 38.\nAnswer: 2*b**2 - 642*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -10. Let c = 233727 + -233725. Factor -8\/7*m - 2\/7*m**c + 8\/7*m**j + 2\/7.\nAnswer: 2*(m - 1)*(m + 1)*(4*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 10*f - 12. Let o = -4322 + 4317. Determine v(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.05. Let r be 45\/(-20) + 4\/2. Let c be (2\/5)\/((-24)\/150*-5). What is the closest to r in z, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/70)\/(-1 + 12\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**31\/(l\/(l\/((l*l\/l**(1\/4))\/l)))**(-35) assuming l is positive.\nAnswer: l**(773\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 - 18*d**2 - 17*d**2 - 3*d**2.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.19 - -43.09. Put 4\/5, i, -0.3 in increasing order.\nAnswer: -0.3, 4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - (252\/(-35) - -5). Let p(z) = z - 11*z**2 - 16*z**2 + n + 0 + 25*z**2 + z**3. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -0.1, -4, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 + -0.03. Round u to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:31 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004402133711 to six decimal places.\nAnswer: 0.004402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + ((-228)\/95)\/((-3)\/10))*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - b + 1800001, 5*t + 8999998 = -2*b. Round t to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:26 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35605 - 4593014\/129. Let g = w - 5300\/2193. Is -2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1413\/28 - 355\/7. What is the nearest to -0.2 in 3, c, -12\/43?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188037 at most 6188035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 19*v**2 - 13*v + 47. List the prime factors of q(-19).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - 164\/(-14). Let j be 1\/((-27)\/v*2). Let q = 12.13089 - 0.13089. Which is the closest to q? (a) -5\/6 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(-29)\/(o**(2\/7)\/o)**(-14))**(-3\/14) assuming o is positive.\nAnswer: o**(18\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2544377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 4799412*m\/5 - 4799407.\nAnswer: -(m - 4799407)*(m - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330632003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:39 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*v - h + 8, 6 = 2*h. What is the smallest common multiple of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-7))\/c**(3\/7))\/(c**(-1))**(9\/11)*(c**(1\/8)\/(c\/(c\/c**(-9)*c*c)))**(-46) assuming c is positive.\nAnswer: c**(-155035\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(6\/15*-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 12 - 3) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12289 - -13744. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102003110122 (base 4) to base 10\nAnswer: 4732186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75150 = -5*w - l, 2*l + 40196 + 19938 = 4*w. Find the third derivative of 15031*d**4 - 27*d**6 - 45*d**2 - w*d**4 wrt d.\nAnswer: -3240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.01. Let b = v + 0.07. Let u = -1 - -1. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*u + 61, 6*u = 3*u - 4*g + 35. Let i = -139 - -147. Calculate the remainder when u is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/4)*q)*q)**(-48))**(-44) assuming q is positive.\nAnswer: q**2640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -2*t, u + 4 = -4*u - 4*t. Let p be -2 - u - (-9 - 0). Suppose 3*m = -m + 36. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 11315588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021858972419 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207823017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -13. Let p = 5104 - 5098. Solve d*x = p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*q + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 33 = 2*w - 8, 0 = 3*w. Let g(n) be the first derivative of 1\/12*n**6 - 4\/15*n**c - 1\/12*n**2 + 0*n**3 + 8 + 1\/4*n**4 + 0*n. Factor g(v).\nAnswer: v*(v - 1)**3*(3*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**3 + h**2\/2 + h. Let u(b) = -5*b - 1. Let f = -19 + 23. Give f*o(j) + 5*u(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48286*u + 48286*u + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i**2 + 10*i - 3. Let f be x(7). Let j = f - 12. Suppose j*n - 357 = 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23657?\nAnswer: 41, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27087514739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415503*o**2 - 3*o - 1367532?\nAnswer: 831006*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 443724 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(c**(2\/3)*c))\/c)\/c)\/((c**(4\/5)\/c*c)\/c))**(-1\/25)*(c\/c**(-1)*c)\/c*(c*c\/(c*c**(-4))*c)\/c*c*c**(-1\/4)\/c*c**(-8) assuming c is positive.\nAnswer: c**(-1787\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**25*(y\/(y\/(y**(2\/9)*y)))**0)**(-30) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = n - 2, -4*n = 16. Suppose -i*s - 5*u = -8*s + 4580, u = -4. What is the highest common factor of 57 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*a = 19 + 25, -4*a = y + 8. Let g = -10 + y. Solve g*c - 2 = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*v - 10*v + 2*v**2 + 127*v + 109*v + 54*v - 8 in the form d*v + b*v**2 + p and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2349*s**3 - 2373*s**3 + 4599*s**3.\nAnswer: -123*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 11*x - 16*x + 20, -4 = -g. Let v = 3 + -5. What is the third biggest value in -2\/3, v, 4, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(6\/11)*b*b**9\/b*b)**(6\/5) assuming b is positive.\nAnswer: b**(762\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*x = 0, -3*m - x - x = 20. Calculate the lowest common multiple of 1 and (1 + m)\/((-3)\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) 45 (c) 2\/9 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -50*n**4 - 12*n**3 - 12*n + 244. Let m(i) = -48*i**4 - 10*i**3 - 10*i + 243. Let r(z) = 5*j(z) - 6*m(z). Differentiate r(v) wrt v.\nAnswer: 152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -580 + 581. Let r(a) = 13*a**3 + a**2 - 3*a + 1. Determine r(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -3, 49, 101, 153?\n\"Answer: 52*n - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33464 divided by -376\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 1. Let q(r) = -5*r - 1. Let l(j) = 7*f(j) - 3*q(j). Let h be l(7). Solve -5*x - 20 = -x - 3*i, h*x - 10 = -4*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 18. Let w = 80 - 102. Let m = w - q. Which is the second smallest value? (a) 0 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 2*x + 2*x + (x - 2*x + 3*x)*(-4 + 1 + 2) + 0*x + 2*x + 0*x - 43059*x + 86135*x - 43052*x + 43 to the form t*x + u and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-9 - (12 + -24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4324 + -4?\nAnswer: -4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(12\/2480*-5)\/((-9)\/(-12))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjttnttmtztmnm. Give prob of sequence mm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/60 - 13*d**4\/24 - 7*d**3\/6 + 5*d**2. Let r be o(14). Which is the second smallest value? (a) r (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 + (-346)\/6)*((-1305)\/(-10))\/3.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5a9b5 (base 12) to base 5\nAnswer: -12404033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*c - c = -24, -4*d + 5*c + 18 = 0. Let g(o) = -3 + 11 - 8*o - d. What is the least common multiple of 1 and g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 11*s**4\/5 - 4603*s**3 - 1984944*s**2\/5 - 41680044*s\/5 + 11515392\/5 = 0.\nAnswer: -42, 3\/11, 2176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from yzzzzayxzlvxzzyvvv?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2 + 9*z + 2. Suppose 31*q - 365 + 86 = 0. Suppose i = 1 - 0. Let h be 3 - -3 - i*2. Let k(w) = 5*w**2 - 4*w - 1. Calculate h*t(n) + q*k(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 62 = y, h - 6*h = 4*y - 308. Calculate the remainder when h\/3*(-1)\/(-2) is divided by (6\/(-5))\/(6\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 126 = -2*i - 5*w, -3*i + 2*w - 189 = 0. Let u be 2*(-2 - i\/6). Solve o - 3*r = 9, 0 = -4*o + r - 3 + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 2 i when four letters picked without replacement from {w: 1, q: 1, i: 6, s: 2, h: 4, a: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163475 - 490423\/3. Suppose -h*o**2 + 10\/3*o - 4 = 0. What is o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s + 13. Let u(q) = q**2 - 12*q - 14. Let l(y) = 3*u(y) + 4*v(y). Let n = 2461 - 2466. What are the prime factors of l(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**2*n*r + 2*f**2*n*w - 5*f**2*n + f**2*r*w - 2*f*n + 4*n*r*w + 39*r + 1 wrt f?\nAnswer: -14*n*r + 4*n*w - 10*n + 2*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -2 - (66 + -101 - -21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a**2 + 3*a - 5. Let x(c) be the third derivative of c**5\/10 - c**4\/12 + c**3\/2 + 6*c**2. Let z(l) = 3*h(l) + 5*x(l). Calculate z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(4\/(-8)*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3817*n + 152679. What is y(40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -4*w - o - 13, 5*w - 5*o + 35 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 400, 116, -2, 5, 4 in descending order.\nAnswer: 400, 116, 7, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/2)\/7*-6. Suppose -5*i + 2*m = -17, -3*i + 0*m - t*m + 6 = 0. Suppose -i*o + o = -194. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -160. Let o = -62 - l. What is the third derivative of -7*f**3 + 16*f**3 + 13*f**3 - 21*f**o wrt f?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 2*l**4 + 3 - 4*l + 3*l - 6 - 2*l**3 as z + t*l + u*l**4 + q*l**3 + j*l**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909844?\nAnswer: 2, 477461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 45*s + 466. Let b be i(31). What is the closest to -2\/5 in -5, 2\/9, -3, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 16*m - 30. Give q(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, t: 14}. Give prob of sequence mt.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8724 - 8724.5. What is the nearest to 8\/5 in -3, 166, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76262\/3 + -18150239\/714. What is the common denominator of 35\/6 and g?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/3 + 2 + -4. Let k = -43 - i. Let c(w) = 2*w. Let b(n) = 2*n - 1. Calculate k*b(q) - 5*c(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 0.5, -18, 0.4 in descending order.\nAnswer: 5, 0.5, 0.4, -1\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -13. Solve -s = 3*x - 2*o + 9, 4*x + 14 = 3*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 12*n**2 - 2*n - 25. Let h be -4 + 1 - (11 + -6 + 4). What is v(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15973.44 years in centuries?\nAnswer: 159.7344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04219 and -0.0961?\nAnswer: 0.05391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 52, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -4) + (145 - 115)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wwwvwvwvvw?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + s**2 + s**2)*(0 - 2 + 1) - 7 + 6 + 13*s**2 + 3.\nAnswer: 17*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -4*z, -3*z + z - 8 = 0. Let n be 0\/(o\/(5\/(-2))). Suppose c = -n*c. Solve c = q + 4 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -382*y - 3. Let v(i) = -i - 8. Let w be v(-7). Is p(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -722, -655, -560, -437?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -5, -1225, 1\/4, -4\/7, 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2358)\/1179)\/((-72)\/765).\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:09 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*u + 41, 5*u - 2 = -2*y - 19. Let l(p) = y*p - 37 + p**2 - 4*p + 40. Let x be l(0). Put x, 4, 2 in decreasing order.\nAnswer: 4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.049 + -0.049. Put n, -1, -3\/5 in descending order.\nAnswer: n, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -37. Solve 5*w + 2*p = q, -4*p + 16 = -8*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*i + 19, -9*n + 12*n = 5*i - 21. Solve j - 1 = 4*r, -6*r + 5*j = -i*r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 11*c**2 - c - 8. Let j be t(-11). Suppose -j*g = 3*q - 131 - 13, 8 = 2*q. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 4 (c) -4 (d) -0.2 (e) -7 (f) -7289\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 + 2*n**2 + 106\/3*n**3 + 0*n**5 + 4\/105*n**7 + 0*n**4 + 28*n - 1\/120*n**6. Differentiate b(g) with respect to g.\nAnswer: 32*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -34545.\nAnswer: -4\/34545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 - 5*q**3 + 5*q**3)*(-31643 - 27763 + 64598)*(2 - 2 + 2) as g*q + o*q**3 + t + k*q**2 and give o.\nAnswer: -20768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1066 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 26*s + 25. Let j(w) = w**2 + 13*w + 13. Let u(n) = 5*j(n) - 2*z(n). Determine u(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2 - 656 + 1234 + 14*g - 634 wrt g?\nAnswer: -4*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 36*v**2 - 26*v - 94. Is o(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5818817\/22 or 264493?\nAnswer: 264493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*p + 99 = 1196*p - 597*p. Is p > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:42 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let l = -41811 - -41835. Solve -f*w + l = -10*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15630 divided by -6.\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -3, -8, 5 in decreasing order.\nAnswer: 5, -3, -8, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(612)*4.\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13720 + 13720.4. Which is greater: o or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69312 and 127072?\nAnswer: 762432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28755 is divided by 328?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751739878 - 751739878 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 18. Let j = -8 - -26. Suppose -6*u = -42 + j. Sort -4, u, b in ascending order.\nAnswer: b, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9204727 and -3784?\nAnswer: 9208511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 12. Let p = -1 + -7. Let u be b(p). Suppose 5*r - 6*r + 20 = -3*y, 2*r - 34 = u*y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -15) + -18 - 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414157 is divided by 153.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12590033?\nAnswer: 12590033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(-168)*-2*26\/39?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 84 = k + 57, d = 0. What is the units digit of k\/(-27) + 2\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 + -110. Suppose -5*p + k = -p. What is the least common multiple of 22 and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138479*k**4 - 65*k**2 + 2*k + 14 wrt k?\nAnswer: -3323496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 13. Let w = 10 - 8. Let m(j) be the first derivative of 5*j**2\/2 + 7*j + 119. Let z(l) = w*a(l) + 5*m(l). Differentiate z(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823259 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -571483, -571475, -571455, -571417, -571355, -571263?\n\"Answer: k**3 + k - 571485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**2. Suppose 5*z - 6 = 5*m + 39, 5*m = -z - 9. Let j(f) be the second derivative of -z*f + 1\/3*f**3 + 0*f**2 + 0. What is j(w(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.4532 rounded to 1 decimal place?\nAnswer: -63.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*x - 32, -1 = -4*t - 13. Solve -x*y - 4*b + 5 + 0 = 0, 0 = 5*y + 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -11, -17, -25?\n\"Answer: -v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 148, 125, 102?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k + 1\/24*k**4 + 0 + 1\/10*k**5 + 80*k**2 - 1\/120*k**6 - 2\/3*k**3. Suppose -4*q - 32 = -4*x, 2*q = -4 - 0. Give v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a - 4 - 4 - 11*a. Let g be d(-6). Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, 8, 17, 22, 23, 20?\n\"Answer: -2*l**2 + 19*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11184 divided by -16.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-4)*(-160)\/120?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - m = 14, 4*m = 5*t - 2*t - 2. Suppose 3*y + t + 6 = 0. What is the nearest to 3 in -0.4, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6225257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojaowrroaoroowora. What is prob of picking 1 j and 2 w?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*i + 143*i + 126*i - 387*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = n + 48, 2*n + 2*n = -4*f + 64. Let d(a) = -20*a**3 + a**2. Let j be d(-1). Let h = f + j. What is the remainder when h is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 498887264 and 396.29?\nAnswer: 498886867.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 2*o**3 + 254*o**2 - 253*o**2 + 3*o**3 - 2*o to the form t*o + j*o**3 + k + s*o**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -477751 divided by 14?\nAnswer: -477751\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*m + 22 + 8, 21 = 2*t - m. Let k be (-1)\/(-2) - 36\/(-8). Suppose k*n = 20 + 20. What is the greatest common factor of n and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2 + (1 - 7 + 4)*(-2 + 3 + 2))*(4*z**3 + 29 - 29 + 9*z**2) in the form w + j*z**3 + b*z + c*z**2 and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/7 (b) -5 (c) -0.1 (d) -19 (e) -97\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Let b be ((-53)\/(-8) - 0) + 6\/16. Suppose c - 10 = r*v, v - b = -0*v + 5*c. Sort -1, v, 3.\nAnswer: v, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 10 - 316*f**2 + 315*f**2 - 2. What is l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 1055. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119839 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (65548\/(-9744) + (-16)\/696)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.888 - -0.112. What is the closest to u in -1, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by ((-1167372)\/315)\/(-36) - 8\/(-140).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 4*d + 3. Let r be g(4). Let y = r + -9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 1 = 4*t, -3*m + 6 = -24*t + 21*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) 6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 2*k = 11, 0 = 4*c - 5*k + 30. Let p be 1 - -16 - 5\/c. What is the highest common factor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/11 - (-2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*48\/((-16)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from xxxhxxhhxxxxxhhhxx.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 6) in base 8?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-1)\/(-12))\/(2\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 201. Is k(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1\/10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016444134 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.489671 - 1370708.\nAnswer: -1370707.510329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) 7 (b) -0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 827732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 284?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/s)**(2\/71)*s*s**10*s\/(s\/s**(5\/4)) assuming s is positive.\nAnswer: s**(24281\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-70))\/((-3)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3904330 (base 10) to base 2.\nAnswer: -1110111001001101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*k = -11, -4*i = -0*i + 2*k + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3041.67l to millilitres.\nAnswer: 3041670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w. Let s(z) be the third derivative of -z**4\/24 - 8*z**2. Determine j(s(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 66*a - 129. What is the units digit of o(44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*(17110\/(-1044) - -18)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2102528g to micrograms.\nAnswer: 210252.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4026?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 18. Let b be l(6). Suppose -5*o - 3*q = -19, 3*o - q = o + b. Solve -2*y - 5 = 3*r, 0 = 5*r + o*y - 0*y + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 177 + 177 = 0. Let m = -587\/5 - n. Sort -4\/7, 2, m in decreasing order.\nAnswer: 2, m, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 32*u**2 + 232*u - 12. Give r(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -333251?\nAnswer: -333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 34394?\nAnswer: 206364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 33*q**3 + 753. Let k(f) = 10*f. What is y(k(a))?\nAnswer: 9900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 7. Let n be s(7). Suppose 0 = -n*u - u - 30. Let o be -3*(2 + (u\/9)\/5). Let g(q) = q**2 + 5*q + 6. What is g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a73 + -1?\nAnswer: -2a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17494967*m**2*w**2 - 2622*m**2 - 313 with respect to w.\nAnswer: 34989934*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (16 + 3 + -14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/27, -2, 2, -3 in ascending order.\nAnswer: -3, -2, 2\/27, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 233112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbbbbbbyybymbmbbb. What is prob of sequence bb?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 1)*(3*h**2 - 3*h**2 - h**2)*(2 - 2 + 2*h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/7 - 922*l**3\/7 + 153402*l**2\/7 - 152478*l\/7 = 0. What is l?\nAnswer: -591, 0, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + -119.21. Let w = f + -0.7937. What is w rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**2\/2 + 47*d + 1. Let w(t) = -t + 1. Determine -f(z) + w(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6064449*p**6 + p**4 - 4624600*p**2 + 1 wrt p?\nAnswer: -727733880*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 + 63*g**2 - 14*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32787*j**3 - 3*j - 2909?\nAnswer: -196722*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 22. Suppose a = 4*y + y. Suppose -y*w - 32 = 4*c, w = -w + 4*c + 14. Sort 5, w, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/565, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -1*(sqrt(3) + 2*(sqrt(3) - sqrt(9)\/sqrt(3))) - (sqrt(6)*-2*-3)\/(1*(sqrt(2) + sqrt(50)))).\nAnswer: -15 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:47 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 1053, 1058, 1065?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.402974 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = 7. Let z be (12\/(-170))\/u*-3. Let n = z + -62\/85. Do n and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 233, -4, -2\/33 in descending order.\nAnswer: 233, -2\/33, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 580, -1, -84, -3, 3 in decreasing order.\nAnswer: 580, 3, -1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5763*p**4*w + 2*p**3*w**3 + 6021*w**3 with respect to p.\nAnswer: -23052*p**3*w + 6*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 less than or equal to -415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/33)\/q*q)\/q)\/q)\/(q**(-8)*q) assuming q is positive.\nAnswer: q**(163\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, -1, -8.8, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*m = -11, -4*v - 5*m + 243 - 181 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -129283?\nAnswer: -129292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (4 - 27\/3). Solve 2 = d - z*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11765.\nAnswer: 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 3*n - k = 87, 5*k - p*k - 50 = -2*n. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 + -4.7. What is the closest to 2 in -1\/4, -1, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = 738 + 62. Suppose -l - 2 = l - 4*x, 4*x = -5*l - 47. Let k = l - h. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 - 5400*s**2 - 1944000*s - 233280000 = 0.\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4346782 by -114389.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.061 (c) -0.5 (d) -9 (e) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1187 and 0.22.\nAnswer: 0.1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -339\/115390?\nAnswer: -339\/115390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - c - 452 = -447, -2*o + 10 = -3*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**3 - 6*k**2 - k + 2. Let s(g) = 5*g**3 + 3*g**2 - 1. Let u be (-1)\/(((-14)\/(-8))\/7) + -7. Let c(y) = u*s(y) - 6*v(y). What is c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*x + 9*g**2 + 12*g*x - 567*x + 1 wrt g.\nAnswer: -2*g*x + 18*g + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2222301 (base 4) to base 11\nAnswer: 8236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/(-30))\/(-10))\/(6\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3452526 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 - 10*o - 31. What is the hundreds digit of k(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (17 + -2 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 8, r: 1}. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:30 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 >= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 - c**5\/15 + c**4\/8 - c**3\/2 + 176*c**2 - 1. Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 91. Suppose 3854 = -19*m + i*m. What is the remainder when m is divided by 5*(84\/10)\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 + u**3\/2 - 7*u**2\/4 + u.\nAnswer: u*(u - 1)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(198)\/sqrt(396) + 1.\nAnswer: sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 498\/145 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12)*387\/(-215).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 547228, 1094472, 1641734, 2189014, 2736312, 3283628?\n\"Answer: 9*p**2 + 547217*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.4 - 24. Let y = -4.39 - v. Let k = y - -6. What is k rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-1 + -6 + 8)) + (4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1755)\/810*(-45)\/390)\/(-1*(-6)\/(-20)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20600051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 5*x + 5. Let j(b) = -1. Let h(t) = t + 4. Let p(w) = h(w) + 5*j(w). Let f(c) = l(c) + 5*p(c). Let i(s) = 7*s. Calculate f(i(m)).\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 6 = 0. Let v = b + -5. Let q be (v - -2)*1\/(-1). Solve 2*s + s = -12, 3*o - 3*s - 24 = q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-4)\/1)\/(12\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 2, h: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k + 0*k)*(0*k + 3*k - 2*k) + 3 - 3 + 2*k**2 + 4*k**2 - k**2 + 2*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103000000 rounded to the nearest one million?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (170624\/(-5952))\/(1*(-4)\/6*-1*1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaqfq. What is prob of picking 1 a and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzzzxzxzzz. Give prob of sequence xxzx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let x be h(4). Suppose -4*t = 8, -x*f + 237 = t - 653. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/12)\/1)\/((-128)\/1440*1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27101 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320503 + -4?\nAnswer: -320511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35263 divided by -197.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose c*u - 20 = -0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1213*w - 3442*w - 938*w + (-2*w + 6*w + 0*w)*(2 - 2 + 2) in the form h*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-50))\/((-279)\/(-930)))\/(13*1\/10).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -51805*u + 25889*u + 5 + 25861*u in the form f*u + g and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llvl when four letters picked without replacement from {l: 3, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 15 (b) 2\/23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154772, 309538, 464302, 619064?\nAnswer: 773824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 181*y**4 - 191*y**4 - 143*y**2 + 144*y**2 to the form g*y**3 + l + o*y**4 + b*y**2 + u*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 33. Let k be (2\/x)\/(6\/(-12)). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t, 12*h - 26*t + 27*t = -12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19291\/8 + 2407. Let j = 54181\/6090 + 2\/609. Find the common denominator of j and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Let x(r) = r**2 - 8*r**2 - 5*r + 5*r + c. What is x(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19174444 and 2102?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/30)\/((247\/78)\/19))\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.28 - -0.34. Put -1\/3, a, 2\/9 in descending order.\nAnswer: 2\/9, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**3 - 8*j**2 - 11*j + 3. Let l(i) = -8*i**3 - 15*i**2 - 21*i + 5. Let g(a) = 6*l(a) - 11*r(a). What are the prime factors of g(-3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + -15. Let x = u + 27.355. Let h = x + -0.43. Round h to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 + -284. Let s = 8.7 + -12. Let n = 2.7 + s. Which is the biggest value? (a) n (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:52 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2152*m**3 + 2*m**2 + 11*m + 11. List the prime factors of w(-1).\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13747, 13764, 13785, 13810, 13839, 13872, 13909?\nAnswer: 13950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2 + 1. Suppose -y*h = -2*h - 9. Solve h = -3*v + 2*v + i, 4*v - 5*i = -41 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40635284?\nAnswer: 2, 2207, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 3*k**3 + k**3 + 10*k**2 + 8*k**4 - 9*k**2 + 3*k**3 in the form w + d*k**4 + z*k**3 + u*k + f*k**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 182 - 92 - 90. Let w(y) be the third derivative of y**7\/1260 - y**4\/12 + 5*y**2. Let p(q) be the second derivative of w(q). What is u(p(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*s + 12 = 0, 3*s + 5 = -2*o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g**2 - 5865*g - 1467 = 0. What is g?\nAnswer: -1\/4, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738415 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-63))\/((-120)\/14))\/(((-99)\/(-18))\/(-11))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194 - -199. What is the third biggest value in -0.4, a, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(88\/12)*3\/27*-15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 42, 106, 226, 420, 706, 1102?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((-12)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2 + (-3 + 2 + 4)*(-3 - 1 + 2))*(q - 9 + 4 + 6).\nAnswer: -9*q - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/40*v**5 - 1\/48*v**4 - 1\/420*v**7 + 0*v**3 + 0*v - 1\/80*v**6 - 2*v**2 + 0. Factor f(y).\nAnswer: -y*(y + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1199\/9 - -133. Let w = -3.2 + 3. What is the third biggest value in t, w, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4. Solve -6*d**z + 0*d**5 - 3*d + 3*d**5 - 4*d**4 + 10*d**4 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 8*x**2 - 15*x + 20. Let i be l(6). Suppose -4*q + 4 = 0, 2*r - 3*q - 561 = -i*r. List the prime factors of r.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = 0, -s - 11 = -h + 3*s. Let o(n) = -3*n. Let p be o(-1). Let r be 4\/p*(-8)\/16. Which is the nearest to h? (a) -0.3 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (64\/20 - (-10 + 408\/40)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4816 divided by 43\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and (-3 + 1861\/620)\/(660\/(-8635))?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.73 in -0.4, -2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.165 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 55. Suppose -y*k = -k + 2, 2*j - 4*k = -37996. What is j rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 13 - 27 = -4*i, 4*i = -4*a + 12. Let r(w) = -2*w + 3. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164056?\nAnswer: 2, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*a, -4*c = 5*a - 2*a - 1. Let y be 2 - (0 - (2 - c)). Suppose y*v = 15 + 18. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*m**3 + (0*m + m + 0*m)*(2*m**2 + 2*m**2 - 5*m**2) - 2 - m**2 - m - 149*m**3 + 273*m**3 - 113*m**3.\nAnswer: 12*m**3 - m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.72864 and -45218294.8.\nAnswer: -45218295.52864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -0*j. Suppose 110 = 5*c + 5*a, -c + j*a = -0*c - 34. Calculate the remainder when 47 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157217151 divided by -44299\nAnswer: 3549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -551432 divided by -6?\nAnswer: 275716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2486*b**3 + 31*b**2 - 32*b**2 - 2485*b**3 + 17 in the form y*b**2 + v*b + p*b**3 + c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56074, 112109, 168144?\nAnswer: 224179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -189 + 158 - (-107 + 14)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53384 is divided by 1136?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*x = -1 - 1, -4*a = -x - 12. Calculate the highest common divisor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(2299) - (1*sqrt(2299) - sqrt(2299)))*2)**2 - (-2*sqrt(2299)*-5)**2 - (3 + sqrt(1216) + -6*sqrt(1216)*-2)).\nAnswer: -220705 - 104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/45*20\/48*3. Let h be ((-1)\/14)\/((-2)\/(-24)). What is the nearest to 1 in -3, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121202 (base 3) in base 9?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 37*l**2 + 256*l**2 + 37*l**2.\nAnswer: 341*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/15*o**6 + 2*o**2 + o**3 + 0*o**5 + 0*o + 0*o**4 + 0. What is the first derivative of y(z) wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -646, -643, -634, -619?\n\"Answer: 3*v**2 - 6*v - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44554 + 668338\/15. Let -14\/3*b + 22\/15*b**4 + 68\/15*b**3 + 2\/15*b**5 - 10\/3 + y*b**2 = 0. Calculate b.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35915, 35901, 35907, 35945, 36027, 36165?\n\"Answer: 2*c**3 - 2*c**2 - 22*c + 35937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1071*x**6 + 2*x**5 - 2*x**4 - 30*x**2 + 8*x?\nAnswer: 128520*x**3 + 120*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3962 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385203, -1385200, -1385183, -1385146, -1385083, -1384988, -1384855?\nAnswer: -1384678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, p: 1, v: 1}. Give prob of sequence vp.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319 - 11 + 365 + 943 + 648)*(-2 + 2 + 2*w**2).\nAnswer: 4528*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 282\/8633?\nAnswer: 282\/8633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Let k(m) = -2*m**3 + m**2 - 7*m + 4. Let o(s) = 5*s**3 - 2*s**2 + 20*s - 12. Let n(z) = -8*k(z) - 3*o(z). Calculate n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 388*d - 388. Let x be s(-1). Solve -3*v + 170*i + 4 = 171*i, -x*i + 4 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5*n + 1095282*f**3*n**2 + 7*f**3 - 252575249*f**2 - 2*n**2 wrt f?\nAnswer: -60*f**2*n + 6571692*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.68752l in millilitres?\nAnswer: 42687.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 70*j**2 + 1918*j + 640. Let v be t(-91). Factor -84\/5*d - 24\/5 - 15*d**v - 24\/5*d**4 - 3\/5*d**5 - 114\/5*d**2.\nAnswer: -3*(d + 1)**2*(d + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let n(f) be the first derivative of 109*f**4\/12 - 82*f + 54. Let x(i) be the first derivative of n(i). Calculate x(v(s)).\nAnswer: 109*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 109935\/594 - 6. Let u be (-4)\/(-16)*(-2342)\/(-3). Let x = k + u. Calculate the common denominator of x and 89\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.9399016 and 4?\nAnswer: 37.9399016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(12) + 1*sqrt(1200))\/(sqrt(4) + sqrt(36)\/(sqrt(9) + sqrt(81))) - ((-1*sqrt(528) - sqrt(528))*-5 - sqrt(528))\/(-4*sqrt(11)*1).\nAnswer: 89*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 6*t**2 + 3*t**2)*(7*t - 3*t + 0*t) + 2 - t**3 - 4 + 3*t**3.\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. Suppose -d*k = k + 352. Round k to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.3331776 - 0.3?\nAnswer: -401.6331776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 2, 3*w + 5*y + 85 - 75 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-50)*(-90)\/(-3). What is the highest common factor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3, -6*g = 3*p - g + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 154.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 13*t - 119 = -15*t + 8*a - 19, -5*t - 4*a + 83 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (19 - ((2 - -2) + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -186*r**2 + 7*r + 57. Let i(y) = -94*y**2 + 3*y + 27. Let t(n) = 3*b(n) - 7*i(n). Differentiate t(u) wrt u.\nAnswer: 200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**3*b)**(-45\/7))**(-1\/25))**(16\/7) assuming b is positive.\nAnswer: b**(576\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -35. Let y = 46 - o. Is 5 a factor of ((-80)\/y)\/(14\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -415\/188427?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-292)\/12*-3. Let b = l + -46. Does 31 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 5*y + 9*y)*(2 + 3*y - 2) - 11*y**2 + y**2 - 9*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*q - 42742 + 43326 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*k**3 + 84*k - 84*k + (-k - 2*k + 5*k)*(1 + 4*k - 1)*(-1 - k + 1 + (13*k + k - 7*k)*(-1 + 0 - 1)).\nAnswer: -190*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/35)\/(-6)*(-2)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - c + 1. Let w(i) = -i**2. Let t(h) = 4*w(h) + y(h). Let l(v) = v**2 + 0*v**2 + 5 - 7*v**2 - 5*v. What is l(z) - 5*t(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14272, 56090, 125786, 223360, 348812, 502142, 683350?\n\"Answer: 13939*x**2 + x + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168344 divided by 10.\nAnswer: 84172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-114)\/(-27) + (-2)\/9. Suppose -s*j = -7*k + 6*k - 3, 0 = k - j - 6. What is the remainder when 43 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000111 - 101?\nAnswer: -101101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 390 = 51*r. Let t = -1521 + 1554. What is the remainder when r is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29.5 (b) 2\/9 (c) 6\/5 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8801.\nAnswer: 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 4432, 14976, 35502, 69334?\nAnswer: 119796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yye when three letters picked without replacement from eeytptyypyt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(63*6\/(-270)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37852.61 centimeters?\nAnswer: 378526100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -3*r - 10, -3*z + 4*r = 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758912 and 653464.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (810\/(-30) + 34)*1\/((-1)\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 13 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32119, -64396, -96673, -128950?\n\"Answer: -32277*s + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14908627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1291444, 2582902, 3874360, 5165818?\n\"Answer: 1291458*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01093407338 to six decimal places.\nAnswer: 0.010934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w + 3*w + (-1 - 1 + 4)*(2*w - 2 + 2) + (-4 + 0 + 3)*(-2*w - 4 + 4) - 4*w + w + 0*w as m + p*w and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let i be -6*(u - 2\/(-6)). Suppose 0 = -i*b + v + 69, -78 = -4*b - 3*v + v. Round b to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.5734 - 7.604433. Let v = -0.031 - l. What is v rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:50 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -31 (b) -1\/20 (c) -2\/185 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 67, 77, 89, 103, 119, 137?\n\"Answer: k**2 + 5*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -260133, -520275, -780415, -1040553, -1300689, -1560823?\n\"Answer: w**2 - 260145*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171\/4 - 1329\/28. Let y be 14\/272 - (-1 - -1). Let w = -1741\/136 + y. Find the common denominator of v and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 - 1419 = -306*x + 272*x for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-630)\/(-168)*(-4)\/30*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -7 - (-207 + 199)) + (0 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1274*u - 97040. Give z(76).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdxd when four letters picked without replacement from dxgx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1910 + -1909.9999984. What is b rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-2142)\/36))\/(-1 + (-4 - -8))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*r - 46, -2*a = r - 3*a + 8. Let x = -10 - r. Which is smaller: x or -2\/39?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.4 + 0.4. What is the biggest value in -5, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 + 2*y. Let t(u) = 3*u**3 - 5*u**2 + 5*u. Let z(h) = -5*o(h) + 2*t(h). Factor z(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 3. Let b be 3*(7\/(-3) + 3). Determine k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -62. Suppose -m*b - 65 = -533. What is the greatest common divisor of 52 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - 41.93. Let u = -89 - x. Let q = u + 48. Which is the second smallest value? (a) 0.3 (b) -3 (c) q (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 - -175. Let c be -3*u\/(-15) - 1. Let p(r) = 8*r + 4. Let l(w) = w - 4 + 5 + w. Determine c*p(h) + 9*l(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004462563 to six dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 1. Let p(g) = -3*g. Let i(b) = -6*p(b) - 5*z(b). Let w(a) = 1. Let h(f) = -f**3 - 11*f**2 + 2*f + 16. Let o be h(-11). Give o*w(k) - i(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1022\/(-365)*2\/(-7))\/(2\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1100)*-3)**2*-4*4.\nAnswer: -1425600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h + 52. Let g = -541\/5 - -3797\/35. Which is the closest to -1? (a) g (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27644 = 3*d + 2*r + 165302, -r = -4*d - 257254. Is (-3 + d\/8)*(-4)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1040 divide 9518080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 11\/2, 29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43991283 to the power of 1\/2, to the nearest integer?\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v**2 + 5*v)*((-2*v + 2*v + 2*v)*(-1 + 0 - 1) + 0*v + v - 4*v - 2 + 2 + v)*(v - v + v).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 3*c**2 + 4*c + 2. Let u be o(-4). Let r(q) = 0 + 3 - 1 + q**2 - 4 - q. Let v be r(u). Solve l + 0 + 1 = v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -173ee?\nAnswer: 17401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*w**3*y**3 - 12342*w**3 - 142*w**2 - 679632*y**3 + 1 wrt y?\nAnswer: -45*w**3*y**2 - 2038896*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 707 + -704. Solve 0 = -4*t - x - 19, 6*x = 3*x + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-11)*l*l**(2\/17)\/l)\/(((l\/l**(2\/35))\/l)\/(l*l**(-39))))**(-3\/2) assuming l is positive.\nAnswer: l**(42684\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -949*b**2*w - 7*b*w**2 - 9*w**2 - 3*w - 347 wrt b?\nAnswer: -1898*b*w - 7*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -320*o**4 + 8428*o**3 - 10800*o**2 + 2492*o + 200 = 0.\nAnswer: -1\/16, 2\/5, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44805 + 0.508. Let y = -0.06 + b. Round y to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -2\/11, 0.08, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/187, -3, -1, 2, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(288) + -2*sqrt(288)) - -1*sqrt(288)*4)\/((sqrt(108)\/(sqrt(6)\/sqrt(2)))\/(sqrt(36)\/sqrt(4)*-4 + sqrt(9))).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 15. Let y(k) = 1. Calculate 2*q(m) + y(m).\nAnswer: 2*m - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5903 - 2211 = 284*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.160649*-0.2.\nAnswer: -0.0321298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262874093*h**3 + 155798095*h**2 wrt h.\nAnswer: -1577244558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*k**3 - 89*k**3 - 11*k + 161*k**3 to p*k**3 + q*k**2 + g*k + d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 17318053?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/6) + 38. Let k = p + 6. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22344 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3219 = -2*j - j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let h be (1\/(-6))\/((-7)\/126). Let r(y) be the third derivative of -1\/12*y**4 - 3*y**2 + 0 + 0*y + 0*y**h. Give j(r(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 + 0*t**3 - 87*t**3 + 2 + 36*t**3 - t + 32*t**3 to the form c*t + s*t**4 + r*t**3 + d*t**2 + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-1 + 1 + 1) - 1 - 1 + 1 + 0 + 1 - 2)*(1 + 0 + 1)*(3*a - a - 7*a)*(-4 + 3 + 2).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 - 5*b + 1. Let i(g) be the first derivative of g**3\/3 - 3*g**2 + g - 87. Calculate 5*i(p) - 6*z(p).\nAnswer: -6*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 2:38 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32319 and 94563.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p - 8 = 0. Are p and 2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167718 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvxhahvaaha. Give prob of picking 3 h.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a)**(-1\/51)\/((a**(-6)\/a)\/(a**(-4)*a)) assuming a is positive.\nAnswer: a**(69\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 * -3.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-12 - (0 + -16)) - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34132673 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -11312332?\nAnswer: -11312330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 - 3*b**4 + 4*b**4 + (-2*b - 3 + 3)*(b**3 - 2*b**2 + 2*b**2) - 2*b**4 - 5 - 6 + 6 to s*b**2 + j*b + t*b**4 + m*b**3 + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16396 - -43370. List the prime factors of r.\nAnswer: 2, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 294*u - 866*u + 281*u + 289*u + 6761*u**2 - 2 as l + h*u + k*u**2 and give k.\nAnswer: 6761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*d*y**2 - 2*d*y - 30723917*d + 2*y**2 - 7952*y wrt y.\nAnswer: -414*d*y - 2*d + 4*y - 7952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -14 + 6. Let r(b) = -b**3 + 10*b**2 - 10*b + 9. Let w be r(9). Suppose i*y - 6*p = -p + 227, -3*p + 15 = w. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19806023 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 16, -12, -72, -176, -336, -564?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 28605101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-70) - 3\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**3 + (4*i - i - 5*i)*(10*i**2 - 12*i**2 + 33*i**2) + (1 + 1 + 0)*(5*i**3 - i**3 + 0*i**3).\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 3 + 3 + 3*c**4)*(280 - 158 - 146).\nAnswer: -72*c**4 + 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -26*i**3\/3 - 143. Let j(f) = 19*f**2. Calculate j(m(h)).\nAnswer: 12844*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 4151.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 449*h**2 - 5533*h + 443. Give y(461).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 12:18 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -73. Suppose -5*q + 1746 - 441 = 4*z, -4*q = 5*z - 1638. Calculate the remainder when z is divided by h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.8746 micrograms in grams?\nAnswer: 0.0000988746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -18. Suppose 2*m - 1 = -9, -h*m + 32 = 2*l. Differentiate 10*t**2 + 1 - 15 - l*t**2 with respect to t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 456 + 6*v + 456. Suppose b - 2*h = 3, 5 = b + 4*h + 26. Let k be x(b). Calculate the greatest common divisor of 315 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 14028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 109*d**2 + 72*d - 307. Is x(-52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 5*c + c + 5*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7)*w)**(-27) assuming w is positive.\nAnswer: w**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6424\/3 (b) 0.4 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = -2*x, 4*y + 18 + 18 = 4*x. Let s be ((-3*5)\/x)\/(-1). Suppose -4*k - s*v + 1184 = -0*v, -v = k - 297. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343\/9 - 1697\/45. Which is bigger: r or -8\/37?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -53 + 133. Solve b + 2*k - 20 = -k, -b + 5*k = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + h + 1. Let l be g(-1). Let f be (-1)\/(1 + 0) + l. Calculate the common denominator of 87\/2 and (-1625)\/(-70) + (-2)\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*w + 60 = 53, 4*m + 10 = -2*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + -4*5*(1*sqrt(72) + 2))*5)**2.\nAnswer: 264000*sqrt(2) + 768404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11303*v - 7. What is x(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 3*j + 12. Let x be v(-7). Let n be 64 + 1 + (1 - 6). Let y = n + x. Solve -5*d - 35 = -2*s, 0 = -y*d - 2*d + 3*s - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -82*o - 901. Let t be l(-11). Which is the fourth smallest value? (a) 2 (b) 16 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31904, -54757, -77610?\nAnswer: -100463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10013 + -21?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 29527 and 29526 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-6))\/((t*t**5*t)\/t)*(t**3*t)\/(((t*(t**3\/t)\/t)\/t)\/t))\/((t\/t**(1\/4)*t)**21*t*t*t\/(t\/t**(-2\/9))*t*t**(3\/7)*t) assuming t is positive.\nAnswer: t**(-8809\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 - 3*u**2 + 3. Let d(o) = 8*o**3 - 4*o**2 + 3. Let q(c) = 3*d(c) - 4*x(c). Find the first derivative of q(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let b(a) be the first derivative of a**5\/12 - 11*a**2\/2 + 14. Let g(n) be the second derivative of b(n). Calculate g(y(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + h**3 + 46 + h**3 - h**3 - 61 + 10*h**2. Let p be r(-10). Suppose z - p*t = 40, 0*z + 3*t = -z + 40. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*1\/(8\/(-140)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**(2\/5)\/p*p)\/p*p)\/p)\/p)**(-22))**(-24) assuming p is positive.\nAnswer: p**(-1584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-9) - ((-2)\/(-9) - 0). Solve 0 = -4*f - 5*a + 13, -2*f = 5*a - z*a - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 54\/(-10) + 108\/(-6750)*-25. Put 90, 1, -0.5, v, 3 in descending order.\nAnswer: 90, 3, 1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-84))\/((-2)\/(-42)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u + 7*u + 4*u**5 + (-2*u**3 + 3*u**3 + u**3)*(-2*u**2 + 3*u**2 + 2*u**2) - u**5 + 4*u**5 - 4*u**5.\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 3:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:38 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -385*o - 4081. Let q be g(-14). Are q and 1310 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 20. Suppose a*w + 3*d = 12, -2*w - 2*d = -4 - 0. Is w equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461815 divided by -6?\nAnswer: -820605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/(8\/108). Let y = -49\/20 - j. Sort y, 0.1, 3 in ascending order.\nAnswer: y, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(12\/7)*d**(-10)\/d)**(8\/3) assuming d is positive.\nAnswer: d**(-520\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 186*p + 0 - 5\/42*p**7 + 225\/4*p**4 - 63\/4*p**5 - 90*p**3 + 0*p**2 + 13\/6*p**6. Factor u(t).\nAnswer: -5*t*(t - 4)*(t - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11995*f**2 + 9013*f**2 + 12001*f**2 - 33007*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -334105 divided by -334105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**4 - 10*q**4 + q**4 - 27 with respect to q.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -841 - -42?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k**2 + 10*k - 32. Suppose 5*f + 3*l - 13 = 21, 0 = -2*f + 2*l + 4. List the prime factors of w(f).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -2\/5 (c) 9\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -3*g**5\/20 + g**4\/24 + g**3\/6 - 7*g**2. Give k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4922108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -x - 14, -2*x = 4*w - 0*w - 14. Let i = 4470 - 4546. Does 15 divide x + (-1 - i - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18103*f + 35940*f - 17845*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -11) + 44 + 60 + -68.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231192*d - 115553*d - 115783*d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37678 (base 14) to base 7\nAnswer: 1103511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246457202.\nAnswer: 2, 61, 181, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 3, m: 3, p: 1}. Give prob of picking 1 v and 3 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 6 = 5*k. Suppose -k - 7 = -2*u. Suppose -w + 2*m - 13 = -m, -2*w + 2*m = u. Let g(n) = -n**3 + 5*n**2 - 2*n - 1. What is g(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*x + 2*h**2*x**2 - 159*h**2 + 301*h*x**2 wrt h.\nAnswer: 12*h*x + 4*x**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 0*g**4 + 5 - 99\/2*g**2 - 2*g - 11\/5*g**5 + 0*g**3. What is the second derivative of p(x) wrt x?\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 2\/5, -14\/33?\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/(2\/(-12)). Suppose 3823 + 202 = 175*l. Solve t*s = 2*s + 5*b - l, 0 = -3*b + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 67*z - 1424. Calculate x(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -4*z. Let r(t) = -2*t**2 + t. Determine r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 35b0e?\nAnswer: 35b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3200\/11 - 2\/11*f**2 - 160\/11*f.\nAnswer: -2*(f + 40)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*m**3 - 229*m**2 + 90*m - 267 wrt m.\nAnswer: -300*m - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -15*d**5 - 8030*d**4 + 206305*d**3 - 500880*d**2 + 179420*d + 123200 = 0.\nAnswer: -560, -1\/3, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-7\/5)\/w*w)\/w*w)\/(w\/(w\/w**(5\/9))*w*w*w)*(w**10)**(-3) assuming w is positive.\nAnswer: w**(-1528\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2\/7 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/1*(-54)\/(-3). Calculate the remainder when ((-4)\/(-3))\/((-12)\/c) is divided by (-1 + 2)\/((-1)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*(z**(-6)\/z)\/z)**(2\/97) assuming z is positive.\nAnswer: z**(-10\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcu when three letters picked without replacement from {u: 1, r: 2, m: 1, c: 1, e: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711676 is divided by 137?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 - 5*n**4\/4 - 3*n**3 + 31*n**2\/2 - 1245*n. Calculate l(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - q**2 - q + 1. Let m(l) = -l**3 + 4*l**2 - l - 7. Let k be m(3). Let c be (-1)\/k*(0 - -1). Give x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26286 and 546499083?\nAnswer: 13143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.007 - 1. Let b = j + -0.00700078. What is b rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 492 - 246)*(-4 - 3*h + 2 + 0*h).\nAnswer: 1845*h + 1230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6873 at most as big as 8415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88045915, -176091851, -264137787, -352183723, -440229659?\nAnswer: -528275595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*c + 10 + 60, -3*i + 55 = -2*c. Suppose 9*l = i*l. What are the prime factors of l - (-4 + -118 - -4)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842044 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -7. Let w(o) = o**2 + 6*o. Suppose 1 = 2*t - t, -4*m = -3*t + 27. Let z be w(m). Which is the second smallest value? (a) x (b) -1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-168))\/((-1)\/(-36)*-3)*(-87)\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000213 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0, -0.1, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -4 (c) -33 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 546 = -3*a, 2*c + 4*a = 78 + 286. What is the common denominator of -93\/10 and 119\/c + 9\/(-24)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 350655744 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w + 39 - 95 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.61 - 0.01. Let v = o + -0.4. Is v smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3)*(1 + 1 - 3)*(-4*m + 3*m + 2*m - 3*m + 3*m + 2*m + (2 - 2 + 2)*(-m - m + 3*m) + 333*m + 240189 - 240189) to the form k*m + j and give k.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let z(i) = -3*i**2 + 15*i - 6. Let p be z(5). Let b(a) = -a**2 + a. Let s(o) = 16*o**2 - 13*o. Let v(c) = p*s(c) - 78*b(c). What is v(u(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/1*1\/8. Let r = -36 + 38. Let u = 0 + r. Which is the third smallest value? (a) u (b) -0.06 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 112*r**2 + 949*r + 1329. Calculate t(120).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 - a?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 97317270*p**3 + 373*p**2 - 373*p**2 - 97317266*p**3 - 4*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1)\/(5*sqrt(12)\/sqrt(3) - sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.97 + 0.03. Let d be (11 - 96\/6 - -2)\/(-7). Which is the closest to -2? (a) r (b) d (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 204 = -2*h, -414 = 5*h - 3*u + 96. Let f = 21 + -10. Let k = f - h. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 29 = -3*m, -20 = -5*k + m + 3. Let q = -16 - -22. Let o = -1 + q. Solve 7*r + 6 = k*r - 5*x, -21 = -o*r + 2*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. What is the closest to -1\/2 in 2, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 2, c: 3}. Give prob of sequence kc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h + 3*h**4 - 16\/3*h**3 - 7 - 1\/3*h**6 + 0*h**5 + 3*h**2. Find y such that w(y) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.15561ml in litres?\nAnswer: 0.06015561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-457 - -194) + 270 - (-1 - (68 + 0)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 2. Let r(n) = 6*n + 3. Determine 2*r(w) + 3*t(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 945*q**3 + 216*q + 216. Let x(z) = -22*z**3 - 5*z - 5. Determine 5*o(b) + 216*x(b).\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*1*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-1)\/2 - 2. What is the second smallest value in 2, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3571, -3539, -3485, -3409, -3311?\nAnswer: -3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 3*w + w)*(-2 - 1 - 2)*(2*w**2 - 4*w**2 + 0 + 1) to the form i + h*w**2 + f*w**3 + u*w and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 2*t - 88. Let i = t + -418. What is the highest common divisor of 238 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -228, 0, -0.04, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + 4 + (-6)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524837 and 3059?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/21 - 6\/(-14). What is the greatest common factor of w and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -17 + (-1 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g = -4. Suppose 4*m + w = -1, 0*w = -m + w + g. Is -1\/2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/27)*p**(-21)*p assuming p is positive.\nAnswer: p**(-538\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-112) - (-1)\/(-7)*(2 + -5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 - 5*n - 2. Let k be c(-8). Suppose w = -k + 17. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.23. Let i = 100.83 - 101. Let l = u + i. Sort 6, -4, l.\nAnswer: -4, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 + 30*s**2 - 552 + 57*s**2 - 573 + 1125 - 91*s**2.\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v)*(-3*v + v + 3*v)*(-6*v**2 + 0*v**2 - 2*v**2).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5778 * -38\nAnswer: 219564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 181 = -11. Let u = 501 - 423. Let n = u + v. Which is the nearest to 1\/3? (a) 0.1 (b) -3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87533335\/6642 + -12046\/3321. Let w = o + 13187. What is the common denominator of (-85)\/4*2\/4 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20969059 to the power of 1\/2, to the nearest integer?\nAnswer: 4579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-170)\/(-2040)) - 2*9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -142f03?\nAnswer: -142f00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 - a + 3*a + 3*a - 6*a. Let v be w(-3). Solve 8*q - 5 = v*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -3\/5, -10956?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -3\/5 (b) -17 (c) 0.5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-14))\/(-11)*(-14)\/(3\/(-3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 2*i - 2*s - 0*s, -5*s = i - 144. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-4))\/(2\/10). Let z(g) be the second derivative of g**6\/720 - g**5\/24 - g**4\/6 + 7*g. Let r(d) be the third derivative of z(d). What is r(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 0*s - 2*s)*(-56 + 31 + 46)*(2430*s + 3 - 5 - 2438*s) to the form y*s + o*s**2 + w and give o.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/5 - w**4\/6 + w**3\/6 + 16*w**2 + 40*w. What is the second derivative of d(i) wrt i?\nAnswer: -24*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose 5*j - q - 105 = 0, 5*j - s*q + 63 - 173 = 0. Let z(i) = -2*i**2 + 18*i - 30. Calculate the lowest common multiple of j and z(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - h**2)*(-7 - 12 + 3).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - -9 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 2*t**2 - 2 - t**2 + 0*t - 1. Is 7 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1019 divided by -160694\nAnswer: -1019\/160694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 103*d = 53*d + 54*d + 4, q - 4 = -d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbggbgbbbbb. Give prob of sequence bgg.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592355689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -758641*k**3\/4 - 7581184*k**2 + 209004*k - 1440.\nAnswer: -(k + 40)*(871*k - 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201519 or 201120?\nAnswer: 201120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -27. Let m = -8 + v. Let f(h) = -m*h + 2*h + h. Let p(c) = -c. Calculate p(f(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 less than -13512070.34?\nAnswer: -13511938.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (255*l + 265*l + 171*l)*(-2*l**2 - l**2 + 7*l**2) as q*l**2 + k*l**3 + u + s*l and give k.\nAnswer: 2764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 52, -31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6616097 or 0?\nAnswer: -6616097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2)*c*c*c\/((c*c*(c\/(c*c\/c**(-2\/11)*c)*c)\/c)\/c*c)*c)\/(c**(2\/5))**(-22))\/((c*c**(-1))**(-48)*c**(2\/3)\/c**(-5)) assuming c is positive.\nAnswer: c**(1702\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14848\/13 + 1142. Which is the closest to 1? (a) -4 (b) -2 (c) s (d) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708687 is divided by 4370?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.4 + -22.4. What is the nearest to -2\/9 in 0.15, 4, i?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2173 - -2180. Calculate the highest common factor of 2513 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 3. Let a(d) = 7*d - 18. Let f(j) = -a(j) + 6*s(j). Let h be (-20)\/100*(-4 - 1). Determine f(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-4)*(-30)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36947716*l**4 + 40667402 wrt l?\nAnswer: -147790864*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-41)*p*p**30)\/(p**(-45))**13 assuming p is positive.\nAnswer: p**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((56\/(-14))\/(-2*1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*x + 11*x + 13*x)*(-40 + 52 + 48 + 30 + 40) as m + l*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:12 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 - 77977764*i + 77977767 = 0?\nAnswer: -25992589, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and -285375 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 51, -3926 in ascending order.\nAnswer: -3926, -1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74141859217.9 - -0.1.\nAnswer: 74141859218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 83*w**2 - 474*w + 6708. Determine i(78).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 15 + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a**4\/3 - 892*a**3\/3 - 3302*a**2\/3 + 920*a + 5016 = 0 for a.\nAnswer: -418\/7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r + 14. Suppose 0 = 27*h - 72 - 144. Let w be x(h). Suppose -4*q + 300 = -0*q. Calculate the greatest common divisor of q and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21462518?\nAnswer: 2, 7, 11, 139367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 235*q**2 - 3 - 243*q**2 - 1 + 4*q**3 + 4*q. Is i(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17398 is divided by 17294?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13) + (-3 - -5) + -12 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*u + 16\/5*u**2 + 0 - 12\/5*u**3.\nAnswer: -4*u*(u - 1)*(3*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 16e?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3657 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 3\/7 (c) 0 (d) -2\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 21 + (4 - (0 + 10 + -9)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 at least as big as 28.6044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*o**4 + 2562 + 84*o**3 + 430*o**4 - 13*o**3 - 71*o**3 wrt o.\nAnswer: 1208*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.19, 4 in descending order.\nAnswer: 4, 0.4, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3420, 3, 4, -5, 1 in decreasing order.\nAnswer: 3420, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - d = 20, 161*u = 166*u - 2*d - 45 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 857*b**2 - 441*b - 5568. Calculate a(-428).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + 24 + -12 - 17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.01 - -0.01. Let c = w + 1.9999977. Round c to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 14*r**2 - 37*r + 22. Let i be h(-16). Suppose -126 = 2*z + 2*s, 2*z + 6*s - 10*s = -i. Which is smaller: 2\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 3. Let h(z) = -443*z + 10. Determine h(f) - 3*i(f).\nAnswer: -440*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 3*w - 0, 0 = -2*w + 2*t - 6. Find the second derivative of 2*i + 0*i - 3*i**w - 6*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -26. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrprrnkomrrnr. What is prob of picking 2 n and 2 r?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24241032, 96964121, 218169268, 387856473?\nAnswer: 606025736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 28*i + 6, 18 = 3*a - 3*i. Solve -7*z = -2*z - 5*h - 40, -5*z - 3*h = -a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 284586\/12*(0 - -438). Let k be ((-12)\/18)\/(2\/l). Let g = 6737537 - k. What is g rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -4 - ((-131 - -32) + 2).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -361\/3 + 365\/3. Which is the nearest to 0.1? (a) 14 (b) v (c) 0.3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2669, -405, 1863, 4135, 6411, 8691?\nAnswer: 10975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 1.2.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*13\/(130\/140).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 60*h + 118*h - 58*h + h**2. Let x(f) = -3*f + 4. Let u(c) = 4*c - 3. Let b(v) = 4*u(v) + 3*x(v). What is t(b(d))?\nAnswer: 196*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2\/3 + 3 + (-128199080)\/(-141) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016380 = -11265*q + 11285*q. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/8)\/n**8*((n*n**(-2\/5))\/n*n)**27 assuming n is positive.\nAnswer: n**(333\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + 12 - -32) + (-4 - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242*h + 37*h**3 - 117*h + 1 - 126*h to the form m*h + y*h**2 + b + p*h**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 0*h + 2*x - 224, -2*h + 112 = -4*x. What is the tens digit of 1107\/(-6)*h\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28837, 29938, 31041, 32146?\n\"Answer: u**2 + 1098*u + 27738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -45 - 11. Suppose 2*s = -j + 269, -q*s + 4*j = -3*s - 653. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26947 or -26946?\nAnswer: -26947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 356580.4l in millilitres?\nAnswer: 356580400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28184.\nAnswer: 2, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1371*w. Let c(v) be the first derivative of v**2\/2 + 262. Give u(c(q)).\nAnswer: 1371*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.84119 and 5.\nAnswer: -99.20595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5 + 15. Let f(q) = 1 - 1 - 3 + 0*q**2 - h*q + q**2. Calculate f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r*r\/r**(3\/5) assuming r is positive.\nAnswer: r**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 171959 divided by 206?\nAnswer: 171959\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 4*j + 1. List the prime factors of u(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 291*l + 4. Let k(w) = 428*w + 6. Let u(n) = -5*k(n) + 7*s(n). Let r(f) = -2*f + 1. Calculate u(r(o)).\nAnswer: 206*o - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12185810, -12185811, -12185812, -12185813, -12185814, -12185815?\n\"Answer: -r - 12185809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 53*s + 1503. Let n be l(-4). Which is bigger: 6462\/5 or n?\nAnswer: 6462\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 105) + 114 + (2 - 1 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10698 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210 (base 3) to base 8.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10469, 10588, 10887, 11456, 12385, 13764, 15683?\n\"Answer: 15*o**3 + 14*o + 10440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -73, -250, -593, -1156, -1993?\nAnswer: -3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 89 - 6 + 144*a + 6*a**2 in the form d*a**2 + m + v*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113200892 - -212180463. Let g = v - 98979565.9999987. Let s = -5 + g. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h + 160*h**2 + 4*h**3 - 8*h + h - 153*h**2 wrt h?\nAnswer: 24*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/14)\/(2\/((-60)\/9)). Solve 2*h + 14 = -2*s, 3*h - 11 = g*s - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)*s)\/s**1)\/((s*s*s\/((s\/(s**1*s))\/s))\/(s*s\/s**0))*s**5\/s**(-5\/3)*(s**(-1))**(1\/48) assuming s is positive.\nAnswer: s**(1369\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(120))*5 + (-2*sqrt(240))\/sqrt(8))\/(((sqrt(96) - (sqrt(96) + -1*sqrt(96))) + sqrt(96))*3).\nAnswer: -7*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5 - 79034772*d**3 - d**2 - 4059406*d - 1 wrt d?\nAnswer: -180*d**2 - 474208632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.06 + 2.06. Is 0.2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1\/3, -0.2, 3\/2, 134?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 divided by -96?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 - 2*n**3 - 3793 + 0*n**2 - 5*n**2 - 11*n**2.\nAnswer: -2*n**3 - 26*n**2 - 3793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06766ml in litres?\nAnswer: 0.00106766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284690175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 2, e: 7, h: 6, w: 1}. Give prob of picking 2 f, 1 h, and 1 e.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41229 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293 and 15507611.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 120*k - 19383 = 783*k + 72*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43650486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 5. Let i = 85 + -49. Calculate the remainder when i is divided by m(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 3. Let b be p(-3). What is the remainder when (-86)\/(-8) + b\/36 is divided by (27\/12)\/(9\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, 4, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/20 - 2*r**2. Suppose -1 = 7*f - 15. Let a(o) = 0*o + 0*o + f*o**2 - 3*o**2. What is a(g(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let a(f) = -f**2 - 6*f + 4. Let q(t) = -a(t) + 6*u(t). Differentiate q(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 22620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 140606*g + 1 + 140964*g + 2.\nAnswer: 358*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**6 - 4991358*h**4 + 10111125*h**2 - 14*h wrt h.\nAnswer: 720*h**3 - 119792592*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**7\/3 + 23*o**6\/30 - o**5\/5 - 5*o**4\/12 - 789*o. Determine t so that n(t) = 0.\nAnswer: -5\/14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78736, 77769, 76158, 73903, 71004, 67461?\n\"Answer: -322*t**2 - t + 79059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 710.5 + -710. Put 6, 4, 7, o in decreasing order.\nAnswer: 7, 6, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(sqrt(54)\/sqrt(3) - sqrt(18)))\/(sqrt(45)\/sqrt(5)*-3))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 29 = 2*t - 17, -t - 4*l = -16. Let o = t - 21. Find the second derivative of d**5 + 3*d - o*d**5 + d**5 - 6*d wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147121112 times 0.3\nAnswer: 44136333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112221121 - 211100?\nAnswer: 112010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 10 = -8. What is the second smallest value in 2\/9, -1, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4804, 9607, 14410?\n\"Answer: 4803*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054 + -0.938. Let v = 1.415 + j. Let s = v - -0.039. Round s to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1028840335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*(68 - 28140\/480)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let f = 17 - 21. Put f, -5, i in decreasing order.\nAnswer: i, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 2, b: 1, i: 2, h: 1, p: 3}. What is prob of sequence br?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68578 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68445409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, c: 3, j: 2}. Give prob of sequence jcm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w - 0 + 3, 4*t + 3*w - 39 = 0. Suppose -6*b = -b - 40. Calculate the smallest common multiple of 4\/t*(-9)\/(-2) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 3*q - 92, -4787*q + 4783*q + 5*d = -115 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0 - 1\/24*i**6 + 1\/4*i**5 + 5\/12*i**4 - 5\/336*i**8 - 1\/14*i**7 + 0*i + i**2 + 0*i**3. Let a(s) = 0. What is s?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-168)\/(-34) + 20\/340. Solve 16 = -3*z - 4*t + 5, s*z = t - 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6*w + 7 = -5*w, -w + 4 = 0. Suppose 5*d - 946 = j*b, -d + 2*d - 4*b - 179 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 21*h - 99. Let d be c(13). Solve 5*q - 14 = -j - d, 0 = -2*q - 5*j + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose -h*l = -l. Suppose l = 4*i - 10 - 50. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/617?\nAnswer: -1\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201015854.\nAnswer: 2, 13, 17, 127, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -48 (c) -7\/4 (d) 77 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-2)*b**(-1\/15))\/(b**1)**(9\/2))**(2\/3))**(-38) assuming b is positive.\nAnswer: b**(646\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 3*v - 6. Let j be r(2). Let f(o) be the first derivative of 8*o**2 + o**2 + 0 - j. Let z(q) = q**2. Determine f(z(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 106 = 49062*k - 49067*k - 32, -3*q - k + 50 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 78813552, 157627108, 236440664, 315254220, 394067776, 472881332?\n\"Answer: 78813556*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*x = 91, 16*h + 83 = 12*h + x. Suppose 0*i = -5*s + i + 15, -5*s - 2*i = 0. Let m be (s + 0)\/(h\/4). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-14)\/56*100\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13*y**2\/y)\/(y**(-3\/13)*y*y\/(y*y**1)) assuming y is positive.\nAnswer: y**(185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + 1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9554 + 0.0446. Let d = -0.01 - 7.99. Let i = 0 + 0.3. Which is the third biggest value? (a) i (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*f**2 + 11*f**2 - 3*f**6 - 2*f**6 - 11*f**3 wrt f?\nAnswer: -600*f**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5 + 3 + 2*n**3 + 4. Suppose -3*r - 19 = -f + 3*f, 5*f + 3*r + 25 = 0. What is b(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6437.\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -67*j**4\/24 - 200*j**3\/3 - 297*j**2. Let n be y(-6). Let d(m) = -m**2 + 4*m - 5. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 1717 = -67*y - 18*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3)*-2 + sqrt(3) + 1))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6522 - 6350. Is g smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + x + 1. Let w(f) = -4*f**2 + 4*f**2 + 18*f - 20*f - 3*f**2 - 1. Give 4*v(t) + 3*w(t).\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {q: 4, n: 1, m: 1, t: 2, o: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 5. Let r be h(5). Solve -r*t + 4*z + 8 = 0, -5*t + 1 = -4*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3156.842 hours?\nAnswer: 11364631.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*g = -26, -5*w + 4*g = 1 - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a*a)**21\/(a\/a**(4\/7)*a*a**2) assuming a is positive.\nAnswer: a**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -23121203?\nAnswer: -23121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 22*c - 11. Let k be l(12). Suppose -o + 5*q = -0*o, 2*q + k = 3*o. Calculate the remainder when 17 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 1643674712?\nAnswer: -1643674715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 74814 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4277 + 4291. What is the remainder when 6940 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -3e?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 449 + 9*r - 449 + (-8 - 3 - 9)*(0 + 0 - r).\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/11)*v)**(-1\/20) assuming v is positive.\nAnswer: v**(-2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20115 + -5?\nAnswer: -20124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2110268.\nAnswer: 2, 43, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 973.004 - 949. Let d = s + -24. Round d to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let v(g) be the second derivative of -g**3\/6 - 4*g. Suppose 10*k - k = 9. Calculate k*a(s) - 2*v(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {h: 1, z: 1, e: 2, p: 1, k: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -4778\/683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 614\/15. Let f = u + 1\/6. Let r = -9 - -11. Which is the smallest value? (a) f (b) r (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -87, -107, -145, -207, -299, -427, -597?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 8 = d. What is the units digit of (-10)\/9*d*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 38020*h**4\/9 + 78590*h**3\/3 + 214840*h**2\/9 - 6552*h = 0. What is h?\nAnswer: -1, 0, 2\/9, 7, 2106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -180 - 2*f - 138 - 187 + 491. Determine u(12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3.1, -5, -6, -3\/4, -64?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 105, 2, -32, 2\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 415, 509, 603, 697?\n\"Answer: 94*c + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0*x**2 + 0*x**2)*(-52*x + 15*x + 1537 - 1543).\nAnswer: 74*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**4 - 3*p**4 + 3*p**4)*(24 - 18 + 24).\nAnswer: -330*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 74.84833 days?\nAnswer: 6466895712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59603343464 and -12.\nAnswer: -59603343476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkh when three letters picked without replacement from spkshhpwhhphhs?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 3*z + 10, -5*z = -5*x - 25. Suppose 13*v = 12*v + 15. Solve -5*l - v = -z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*n = -121*n + 4, -7*w + 2*w - 5*n = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {m: 4, h: 5, c: 5, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 859, 934, 1009, 1084?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*u = -134*u + 2772. Suppose -4*p + 174 = -2*f, -p + 52 = 4*f + 4. What is the greatest common factor of p and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -644.02 - -638. Let p = -6 - o. Let z = p + -0.019805. Round z to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35711 (base 8) to base 9.\nAnswer: 22885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 + 9*w - 20. Let b be u(5). Let t(s) be the first derivative of 2*s + b*s**2 - 1\/3*s**3 + 6. What is the first derivative of t(f) wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1946*k = 1947*k - 3887*k - 6084. What is the least common multiple of 78 and k?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 11) in base 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 + -402.8. Which is the nearest to -51? (a) w (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (13\/(-4))\/(20\/(-160)). Suppose -5*z - 7 = t - 28, t - 2*z - 42 = 0. What is the highest common divisor of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 939196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28243 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/3 - 10*c\/3 + 13 = 0?\nAnswer: -13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -121113996?\nAnswer: -121113996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 0, 0.9, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10855 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -843 divided by 11981\nAnswer: -843\/11981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2) + 8*35. Suppose 5*y = -5*i + o + 149, 2*i = 3*y - 248. Let r = 164 + -152. What is the greatest common divisor of y and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - 56*o**2 - 10*o + 89. Determine f(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from {w: 4, g: 2, q: 4, u: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.100511344 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/14 - 54730\/(-70). Let t = 1189 - a. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 74 - (3 - 2) - (3 + 4) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**2. Let n(m) = -1618*m**2 - 1. What is n(i(w))?\nAnswer: -195778*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41132429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13024 + -1024?\nAnswer: -14051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 14. Let z = 12 + u. Let p be 0\/(-2)*z\/(-6). Solve -m - 4 + 6 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 7*(54\/(-21) - -4). Let x = 13 - j. Solve 0 = -2*b - 0*b + 2*y, -x*b + 28 = 4*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199338050.78 less than 2.519?\nAnswer: 199338053.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2196\/(-2440))\/((-3)\/(-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -645825.\nAnswer: -645825.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*g**2 + 2)*(g + g + g)*(-3 + 3 - 1).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1360 - 1334 = 2*f. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373 - 382 + 3*x - x + 8*x**3 to the form w*x**2 + m*x**3 + y + o*x and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -336312, -336306, -336284, -336246, -336192, -336122?\n\"Answer: 8*k**2 - 18*k - 336302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, j: 5}. Give prob of picking 2 y and 1 j.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y - 5*y + 6*y. Suppose y = h - 3, -2*t + 23 = 2*h + 5. Calculate the remainder when 39 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(704)*2 + sqrt(704) - sqrt(704)) - (sqrt(91)*-1*5 + sqrt(91))\/sqrt(7))**2.\nAnswer: 54925\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -14*k**2 - 3*k + 3. Let z(g) = 253*g**2 + 55*g - 55. Suppose -138 = -2*n - 28. Calculate n*f(h) + 3*z(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24400496?\nAnswer: 2, 1525031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23229 is divided by 751?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*4\/40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 345 + -205. Let f = b - 80. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3496*l - 77. Let m(v) = 699*v - 14. Give 4*b(w) - 22*m(w).\nAnswer: -1394*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 r when three letters picked without replacement from mjmzsjkr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -28*t**2. Let h(u) = -4*u. Let a(g) = 5*g - 33. Let k be a(7). Let p(s) = 3*s. Let j(i) = k*h(i) + 3*p(i). Calculate j(x(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -65. Calculate the highest common divisor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 + -2.8. Sort 2, 2\/19, -3, w.\nAnswer: -3, w, 2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72021?\nAnswer: 3, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346279 is divided by 328?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 + 534*x**4 - 13272*x**3 - 14334*x**2 + 13269*x + 13800 = 0.\nAnswer: -200, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (216\/(-30) - (-16)\/(-20)). Find v such that 2\/9*v**5 + 0*v + 2\/3*v**g + 0 - 2\/3*v**4 - 2\/9*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13, 0.3, 0.04945, 2\/5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 + 0*t**5 + 1\/8*t**4 - 7*t**3 - 1\/60*t**6 - 30*t**2 + t. What is the derivative of q(s) wrt s?\nAnswer: -6*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/9 (c) -0.362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5988 and 13473.\nAnswer: 53892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -798 and -0.1.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 532 - 214. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3 + b - 3)*(-15 - 3 + 6).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 217?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/45995513?\nAnswer: -1\/45995513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 378 + 145. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4684945.\nAnswer: 5, 17, 55117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -3*n, 3 = -2*n + 4*w - 1. Does 17 divide (312\/36)\/((n\/102)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*d + 24 = -6*d, 5*t + 3*d - 22 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 2. Suppose -37*c + 32*c = -15. Let w be (-7 - (-98)\/21) + c. What is the smallest value in i, 2\/7, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/264 and -161\/2244.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1)\/((-454)\/(-151) + -3). Let y(x) = -474*x + h*x + 3 - 4. Give y(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*3\/(0 - (-4)\/(-2)). Let v be (-1 + d\/(-2))\/((-1)\/(-34)). What is the third derivative of -v*t**2 - 16*t**3 + 56*t**2 - 22*t**2 wrt t?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 1. Let n be c(-5). Suppose v - 4*i = -n, 0 = 2*i - 3*i + 2. Suppose v*u = -8, -5*u = 3*z + 2 + 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156943 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.7621 and -0.2793?\nAnswer: 7.4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2868 (base 14) to base 6.\nAnswer: -53032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 1. Let m be w(2). Suppose -3*a + b + 16 = 0, -m*b + b = 2*a - 34. What is the first derivative of -4 + a*d**3 - 7*d**3 - 2*d**4 + 4*d**4 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 649, 1445, 2241?\n\"Answer: 796*u - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2) + ((-8)\/4 - -1). Let z(b) = b**2 + 2*b + 36. Is z(w) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -4*v**3\/3 - 22*v**2 - 16*v. What is the tens digit of o(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 87*m\/7 + 12\/7 = 0 for m.\nAnswer: 1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17321184 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-143 + 143 - 92*i)*(1 + 2 + 5) to q*i + n and give q.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*q - 7*q - 9, 2*q = -3*v. Let f(x) = 2*x + 7*x**3 - 1 + 2 + v*x**2 + 5*x - 5*x. Give f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, -28, -280, -688, -1252, -1972?\n\"Answer: -78*w**2 + 138*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3576 + -3572. Let u(p) be the first derivative of 0*p + 0*p**3 - p**a - 2\/5*p**5 + 0*p**2 + 8. Find n, given that u(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 o when four letters picked without replacement from momuzommumzmmmozo?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6601411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20612.152 * -0.9.\nAnswer: 18550.9368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 451*i + 5 = -450*i, 40 = 5*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79369689191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i*i\/((i**0*i)\/i)*i*i)\/i**12)\/(i**(-7\/6)\/(i\/(i\/(i\/(i*i\/i**7))))))**(-2\/13))**(-42) assuming i is positive.\nAnswer: i**(98\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 - 2 + 2)*(1 - 3 + 1) - 2*l**2 + 2*l**2 + 3*l**3)*(-2 + 3 - 3)*(67 + 5*l - 67).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -11*x**2 + 39*x - 18 = 0.\nAnswer: 6\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35a11201 + 2?\nAnswer: -35a111bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 279475.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, i: 2, b: 4, p: 2, m: 1}. Give prob of picking 3 k.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3364328 and 31438?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63220.7536 rounded to the nearest 10?\nAnswer: -63220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) 2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02774 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1763 = -3*w, 40*v - 10 = 35*v. What is the greatest common factor of 57 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*a + 80*a - 184*a + 68*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 - 56*i**2 - 744*i**3 + 1485*i**3 - 740*i**3 + 33*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*l = -1121*l + 3285 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose 6*f + 2*i = 2*f + 50, 3*f = 4*i + 65. Suppose -w + n = 4*w - f, w = -4*n + 3. Solve -5*l - 20 = -m*j - w, 19 = 5*j - 4*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o - o)*(-1707 - 151 - 968).\nAnswer: -2826*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*j**4 - 10*j**4 + 15*j**4 - j)*(-11 + 18 - 29) to the form y*j**4 + n*j**2 + c*j + a*j**3 + h and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689?\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22596 by 21.\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 0\/((-4)\/(-4)). Let y be 1 + 2\/(-2 - -3). Let j(h) = 7 + 0*h**y - h**2 - h**3 + 3*h - 4*h. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61, -60, -47, -16, 39, 124, 245?\n\"Answer: i**3 - 6*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 276, 760, 1258, 1770, 2296, 2836, 3390?\n\"Answer: 7*s**2 + 463*s - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p - 30. Let b be n(9). Let c = -127 - b. What is the remainder when c is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 15, 22, 31?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a + 1. Give h(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18653?\nAnswer: 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 681. Suppose 4*b - 8 = -0*b. Suppose 0 = -3*a - b*x - 2*x + w, -3*a - 2*x + 562 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/3 + 2*p**3\/3 - 4*p**2 + 19*p. Factor q(o).\nAnswer: 4*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 25. Suppose -6*z = -i*z - 480. Let r = z - 91. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 153*1*(-5917)\/17751\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 12\/15*(49 - (-3)\/3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 19 + 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/56 and 19\/119.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 592*r**2 + 61*r + 7. What are the prime factors of i(3)?\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2465\/5528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(119)*-3)\/sqrt(7) - -1*(sqrt(153) + 1 + 1)) + -4)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154431348?\nAnswer: 2, 3, 149, 86371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-375)\/(-135) - 4\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 2, s: 2, n: 1, d: 1, e: 2}. What is prob of picking 1 n, 2 z, and 1 s?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3)*v*(v*v**6)\/v*v\/v**(2\/5)*v**(3\/2))\/(v**(2\/15)\/v**(2\/9)*(v**(1\/2)*v)**13) assuming v is positive.\nAnswer: v**(-284\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -255 and 22?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjojosjou. Give prob of sequence ojop.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:15 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2811883 times -0.51\nAnswer: -1434060.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 + 1660857 - w - 3*w - 1660851 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3506*l**3 + 3354*l - 3?\nAnswer: -21036*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103 and -227.42384?\nAnswer: 124.42384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53528347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3444 and 18.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 350339603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose -b*f + 0 = -2. What are the prime factors of (f - (3 + -1))*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let i = 1.089 - 0.069. Let l = 0.02 - i. What is the second smallest value in 0.1, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88073495?\nAnswer: 5, 17614699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 73.5. What is the nearest to 0 in 0, c, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o**3 + 3*o + 2. Let y be c(-1). Let v = y + 18. Suppose -21 - 3 = -v*s. What is the remainder when 17 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**2 - 13*i - 9. Suppose 0 = -68*o + 76*o - 48. Let m(s) = -4*s**2 + 7*s + 5. Determine o*p(x) + 11*m(x).\nAnswer: 4*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338*y**3 - 2*y**2 + 8 wrt y.\nAnswer: -2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123738100*j**2 + 30231*j - 1382?\nAnswer: 247476200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:29 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/6 - r**3 + 47*r**2 + r - 25. Find the first derivative of f(p) wrt p.\nAnswer: 4*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*a - 39*a + 26*a = -3443845. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = -4*p + 2, -2 = -4*n - 2*p. Let b be 0 - (-2 + n\/(-1)). What is the derivative of 4 - b*f**4 + 1 - 4 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 6}. Give prob of picking 1 g and 2 x.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 163, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 6*y + 3. Let n be q(6). Let i = 10 - 8. Is i >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1345*o + 993*o - 7*o - 524*o - 2*o**2.\nAnswer: -2*o**2 + 1807*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -32*c + 14*c. Solve -p = 3*x - c, 0 = -2*p + x - 1 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + 2572465001.973\nAnswer: 2572465000.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9480, -9531, -9582, -9633, -9684, -9735?\nAnswer: -9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7 - -10) + 5 - (16 - 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6)*d)\/(d**0\/d)*d*d**(-5)\/d*d**6*d*d*d*d*((d**(2\/5))**(-6\/11))**(-41) assuming d is positive.\nAnswer: d**(602\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*-1*sqrt(153) + sqrt(153))\/(sqrt(9) + sqrt(27)\/sqrt(3)*-3)*2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -16. Let t(q) = 13*q**4 + 9*q**2 + 27. Let s(j) = 3*j**4 + 2*j**2 + 7. Let x(g) = y*t(g) + 9*s(g). Find the first derivative of x(b) wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-442)\/234*9 - (-28 + -3)) + 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 4. Let a be m(0). Suppose -j + 3 = -w, 6 = a*w + 4*j - 6. Let b(x) = x - 3. Let f be b(0). Put f, 2, w in decreasing order.\nAnswer: 2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 40. Let g be h(-34). Suppose o - 20 = -3*o. Suppose -3*m + r = 5*r + o, 2*m = 3*r + 25. Solve 0 = m*w + 4 + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/v**(-2\/69))*v*(v\/v**(-2\/9))\/v assuming v is positive.\nAnswer: v**(40\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 433 + -285. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t = 103*t - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 113, -1, -42, 1.6, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220.259 + 220. Let r = -0.089 - q. Which is greater: -1.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 1. Let b(i) = 5*i + 16. Determine -b(w) + 4*u(w).\nAnswer: -w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 3*p**4 + 0*p**4 + 5*p**4 - 3*p**4 + 3*p**4 + (-p + 5*p - 3*p)*(-5*p**3 + 2*p**3 + 2*p**3) - 16*p**4 - 17*p**4 + 10*p**4.\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 793*z + 3913. Give w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5) - sqrt(45)\/sqrt(9))*-4*-5 - 1*(4 + sqrt(720) - sqrt(720)))**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.78 - 21. Let x = z + -2.78. Let a be (-60)\/117 - (16\/(-6))\/4. What is the closest to a in 2\/11, 4, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 0*w**2 + 4*w**2 + 0*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -164*v - 217. Give l(0).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278.3 - 106.3. Let k = q - 167. Put 0.5, k, 4 in ascending order.\nAnswer: 0.5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 0 + 4*n**4 - 8*n**3 + 6*n**3 + 4 - 5*n to t*n**2 + b*n**3 + y*n**4 + v + d*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t + 48 = 73*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -3, 0.4, -2, -48, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = t - 4, -4*t = 5*r - 5*t - 14. Let z = 1.9 - 1.9. Let l = 6.6 - 7. Sort r, l, z in increasing order.\nAnswer: l, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.8 - 5.8. Let h = -24.0013 + i. Round h to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 669939 = -669933, 0 = -15*v - j + 47 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 - r - 5. Let t be k(-4). What is the units digit of -2 - (2 - t - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 3*l**2\/2 - 15*l - 1. Let t be d(6). What is the derivative of 7 - h**3 - 13*h**3 - 4*h**t wrt h?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1032201018 and 1306.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35\/4 in 3, -367, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139843 is divided by 19039.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-27))\/((-2)\/243) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaauaaa.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 12. Solve 31 = -5*p + q + l*q, -p = -2*q + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 55883952?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-8)*m**(-7)*(m**(-2)*m)**(-2\/65))**(2\/31))**8 assuming m is positive.\nAnswer: m**(-14528\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.167 + 13.56. Let i = w - -0.007. Round i to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3 - 9600*r**2 - 23049597*r - 46060802 = 0.\nAnswer: -4799, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/35 - 1\/(-7). Find the second derivative of -2*r**a + 5*r + 6*r**4 - 2*r wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 21. Let q be x(-12). Let f(p) = 9 - q + 2 - p + 0*p. Let g be 3\/(-2)*(-8)\/6. Give f(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/42 and 95\/100 + (-8)\/(-40).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(5 + 3*((0 + sqrt(208))*-2 + sqrt(208))*-2))**2.\nAnswer: 3840*sqrt(13) + 120208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6105571, 6105578, 6105589, 6105604, 6105623, 6105646, 6105673?\n\"Answer: 2*h**2 + h + 6105568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -19. Suppose -20*c = -k*c + 332. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 27. Let b(i) = -1. Let u(n) = -15*b(n) - y(n). Let o(z) = 2*z**2 + 3*z - 3. Calculate the remainder when u(-11) is divided by o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 2\/11 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/5 in 5401, 0.06, 3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 356, 679, 1096?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -3, 385, 9 in decreasing order.\nAnswer: 385, 13, 9, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 26. Let x = n + -2. Solve -2*u + 14 = -4*t, -u - 5*t = -x*t + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 1, k: 3, r: 6, p: 4, d: 4, i: 2}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*d**2 - 4*d**2 + 2*d**3 - d**2 + d**2 - d**2 - d**3 + (-2 + 3 - 2)*(-2*d**3 - 2*d**3 + 2*d**3) to the form a*d**2 + y*d**3 + z*d + q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -254. Let w(d) = 6*d**2 - 7*d. Let v be 7\/(1\/(2 + -1)). Let i(l) = -4*l**2 + 5*l. Give v*i(p) + z*w(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803138939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l. Let r(i) = 42*i**2. What is f(r(s))?\nAnswer: 756*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14488 or -17265?\nAnswer: -14488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2dcb + 1?\nAnswer: -2dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32638*z + 32617*z = -651 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8 and -43\/174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 5*m**2 + 28)*(3 + 1 - 5)*(-3 - 1 + 1).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 23*q - 4 = -27*q, q + 11 = -n. Let k be ((-9)\/n)\/(1\/12). Solve k*b - 13*b + 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(468) - (sqrt(468) - (sqrt(468) + -2 + 5*sqrt(468) + sqrt(468))) - (6*(-4 + sqrt(468)) + sqrt(468))))**2.\nAnswer: 7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4157652.\nAnswer: 2, 3, 233, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840\/2729 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 1. Let c(g) = -g - 2. Suppose -l = -209 + 211. Let v be l\/((-16)\/(-40) - (-32)\/(-30)). Calculate v*u(h) - 2*c(h).\nAnswer: 3*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171122764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7506, 60103, 202866, 480879, 939226?\n\"Answer: 7514*x**3 - x**2 + 2*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -5*k**4\/12 + k. Let f(g) = -2*g**2. Determine f(m(d)).\nAnswer: -50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 + q**3 - 4*q**2. Let r(j) = -j**2 + 2*j - 3. Let b be 1 - -4 - 4 - -2. Let s be r(b). Determine g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (9 - -6) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122*0.71.\nAnswer: -86.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359886176 to the nearest integer?\nAnswer: 18971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42284, 42008, 41744, 41498, 41276?\n\"Answer: r**3 - 283*r + 42566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -763, -1501, -2239, -2977, -3715, -4453?\n\"Answer: -738*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**4*z**3 + 341*p**4*z**2 - 3*p**2*z**3 - 10*p*z + 3*z**3 wrt p?\nAnswer: 72*p*z**3 + 8184*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:15 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 609 + 325 + 245 - y**2 as k*y + v*y**2 + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.711 - -68.811. Let v = 85 - z. Let d = v + -15. Round d to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3)*2*6 - sqrt(3)).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.155214t in milligrams?\nAnswer: 7155214000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -32 + 4 - 3*g + 12 + 10. Let p(x) = -1. Let t = 0 - -6. Calculate t*p(h) - r(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/13)*k))\/k**(-2\/3)*k**(1\/4)*k*k**(-4\/5)*k assuming k is positive.\nAnswer: k**(931\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -11*s + 18. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 42*d - 141. Determine c(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r**2. Let k(a) = 51*a**2. What is k(z(p))?\nAnswer: 8619*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -280, -1119, -2524, -4501, -7056, -10195?\n\"Answer: -h**3 - 277*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 853?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5\/2)*0. Suppose 3*u - 9 = 0, 5*y - 29 = -f*u - 3*u. Let -2*c**4 - 2*c**5 - 8*c**2 - 7*c**4 - 12*c**3 + c**y - 2*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3341.00026559 + 3341. What is m rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 59096*y + 218271076.\nAnswer: 4*(y - 7387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9*y + 160 = 0. Let d = y + 81. Let v = d + -27. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1448*r + 735*r + 469*r - 5 - 6 to c + p*r and give p.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -1)*2\/(-3). Let l(w) = w - 2. Let x be l(5). Suppose x*u + 4 = u + 3*i, n*u - 4 = i. Solve -u*d + 4 + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.9. Let f = -1963 - -1955. Put a, -1\/3, f in ascending order.\nAnswer: f, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1359082 + -2.33591. Let l = -22.8 + 23. Let o = n + l. Round o to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*h + 3*h**4 + 40*h + 6*h**3 + 3*h**2.\nAnswer: 3*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*i = 3*i - 20, 0 = -t - 5*i + 5. Suppose v + t - 10 = 0. Let u be ((-1110)\/39)\/v + 4. Is -1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.1865582 to two decimal places.\nAnswer: 30.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15935.29*11.\nAnswer: 175288.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 14, 0, -0.18, -227?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:50 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 2. List the prime factors of 2\/(-4*f\/56).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from zxztzzxy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 27, -4 in decreasing order.\nAnswer: 27, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 1223234106665.\nAnswer: 1223234106666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4367 - -4367.2. Let y(j) = -2*j**3 - 4*j**2 + 3*j + 5. Let n be y(-2). Which is the nearest to n? (a) -4 (b) -1.7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*d - 2\/7*d**2 + 0.\nAnswer: -2*d*(d - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -69 - -50 - (1 + -27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 12*t**2 - 21*t + 6. Let u be k(-10). Suppose -17 = -f - 4*s, -8*s + 11*s = 5*f - u. Suppose -5*y - f = -6*y. Solve y*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b. Let z(i) be the third derivative of -7*i**5\/60 + 9*i**2. Calculate z(l(j)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10\/7, 2\/13, -0.5, 28, -2\/19, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {x: 4, r: 10}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**2 + 18*s - 21. Let c be h(9). Let y be 60*(2\/3 + 140\/c). Factor -y*p**2 - 45*p + 3*p**3 - 66\/5.\nAnswer: 3*(p - 11)*(p + 1)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:37 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1321 + -1270. Solve 71 = -4*q + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109930452*x + 117821506 wrt x?\nAnswer: -109930452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20771437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/689 - 518\/39273. Let l = g + -53\/228. Suppose 4*p = 3 + 1. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 times -0.3152?\nAnswer: 50.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 + (-42)\/4*(-2)\/3. Which is the second smallest value? (a) 4 (b) -0.2 (c) 3 (d) p (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - 0.202?\nAnswer: 82.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-81 + -19 - 8) + -1) - -16?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385882 - 66.\nAnswer: -385948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2358.19 - -146.99. What is f rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04698 + 5298427.\nAnswer: 5298427.04698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2753 + 2142 + 1971 + 2*p in the form d*p + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) -0.3 (b) 2 (c) -15.193 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 6:34 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.505 + -27.505. What is the nearest to -1\/3 in -1, m, -1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -34*w**3 - 6*w**2 + 15*w + 15. Calculate the smallest common multiple of h(-4) and 5.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1904 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 + 3 + 0*g**3 - 2*g**3 + 11*g**4 - 7*g**4 + 2*g - 6*g**4 - 2*g**2 to w*g**4 + u*g**3 + f*g**2 + t*g + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + sqrt(2057) - sqrt(2057))**2 + sqrt(2057) - sqrt(2057) - (sqrt(170) - sqrt(170)*2)\/sqrt(10)) + -3.\nAnswer: sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006047562 rounded to five dps?\nAnswer: 0.00605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/20 - a**2 - 3*a. Let g(n) be the first derivative of r(n). Let k be 6\/27 + 44\/(-36). Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -1 (c) -11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from axaxhzhhxfhhy?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836561.9 days to hours.\nAnswer: 20077485.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 6*r + 13. What is the remainder when 21 is divided by f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = 1. Suppose -2*u + 7*u = -a*n - 3, u = 2*n - 9. Let k(f) = -f**3 - 3*f**2 + 5*f + 3. What is k(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s)**(3\/5)\/(s\/(s*s*s**(-1))*s)**5 assuming s is positive.\nAnswer: s**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(-11))*(v*v\/(v*v**2*v))\/v)\/((v\/(v\/((v\/((v\/((v**13\/v)\/v))\/v))\/v)))\/v**17) assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 102*i**2 - 6936*i + 157216.\nAnswer: -(i - 68)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*i**2 + 166*i**2 + 248*i**2 - 66 + 129 - 63.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 203\/(-35) - 3*(0 - -1). Do f and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/7 - 10*v**4\/7 + 296*v**3\/7 + 88*v**2 = 0.\nAnswer: -14, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2\/(-15))\/((-48)\/32)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669464 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let m = -176\/255 - -2\/85. What is the second smallest value in -3, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548984 a multiple of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:45 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -35*l**4 - 155*l**3 + 100*l**2 = 0.\nAnswer: -5, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1358 + -1356. Put j, 7, -4 in increasing order.\nAnswer: -4, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4839300 divided by -161310.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5307 and 14152?\nAnswer: 42456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o - 36. Suppose -5*j = -3*z + 18, -4*z + 3 = -2*j - 7. What is the tens digit of (-2)\/j*(-198)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 12. Let b be m(7). Suppose 0 = -5*u - 4*j + 51, -2*u = -3*u - b*j + 27. Let g(n) = 6*n - 9. What are the prime factors of g(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*a + 711 = -653*a + 209*a + 196*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) -14 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8923561 is divided by 224?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12040 = 3*w + w. Suppose -w = -20*j - 450. Calculate the highest common divisor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36294 times 2\nAnswer: -72588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 543 - 97899*h**2 + 7*h - 2*h + 97901*h**2 to the form j + q*h + u*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v + 9. Let i(u) = -7*u + 4. Let k(q) = 9*q - 5. Let z(n) = 6*i(n) + 5*k(n). Let p(w) = -r(w) + 4*z(w). What is p(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/3 - 2*p**4\/3 + 8*p**3\/3 + 8*p**2\/3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19372?\nAnswer: 2, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 9. Let m(f) = -f**3 + 5. Let d be m(0). Let i be a(d). Let v = 12 + -7. Calculate the greatest common divisor of v and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c + 19 + 50*c + c**2 - 19*c. Let u be d(-8). Solve 2 = -5*t - 4*f + 23, 4*f - u = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2886255 and 77655?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -70962455251 + -0.1\nAnswer: -70962455251.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 45*h**3 + h**2 - 1. Let l be ((-1)\/3)\/((-2)\/6). Let b be j(l). Suppose -5*n + b = -0*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*o = -104, 0 = 3*j + 4*o - 44 - 12. Let k be 425727\/j*(-4)\/9. Let f = 7903 + k. Find the common denominator of f and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 23151444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, u: 5}. What is prob of picking 4 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 7*j**6\/720 - 43*j**5\/40 + 55*j**4\/72 + 4*j**2 - 38. Let x(i) = 0. Calculate i.\nAnswer: 0, 2\/7, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*l + 19, -530*w = -l - 528*w - 5 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/((-14)\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5073000 rounded to the nearest ten thousand?\nAnswer: 5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) -6 (d) -7.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -36*c**2. Let a(q) = -2*q**2 - 8*q. What is a(p(m))?\nAnswer: -2592*m**4 + 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253946 by -362.\nAnswer: -126973\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115061671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w = 56*w - 3. Suppose -y + 7 = x - w, -31 = -5*x - 2*y. Solve 0 = 3*d - 3*n - 27, x*d - 20 = 2*n + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/6))**(2\/43)*(x**(10\/9))**(2\/77) assuming x is positive.\nAnswer: x**(-295\/29799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1691 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(3 - 3 + n) - 3*n + 15*n + 5*n + (-2 + 1 + 0)*(0*n + 3*n - 2*n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (-1 - 2) - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*p - 129 = 0, 0 = 3*n - 8*n + p + 629. Let l = -70 + n. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806*746576.\nAnswer: 601740256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 623*n**3 + 2 - 353*n**3 - 271*n**3 + 6*n - 3*n**2 as m*n**2 + y*n + q + f*n**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9*i + 14*i - 9, 12 = 4*i. Let t(n) = -n**3 - n**2 - n + 2392. Let g be t(0). Suppose w*v = 10*v - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-48)\/36)\/(3\/990*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 54 + 64 - 51?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/(-159)*(-6)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.05, -0.38, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j + 279. Let f(s) = -2*s**2 - 2*s. Let k be f(-6). Let y = k - j. Calculate the greatest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*k + 96 = -18, -5*k - 163 = -3*t. Solve 0 = 15*b + 16 - t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 7) to base 2.\nAnswer: 100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40209, -80616, -121023?\nAnswer: -161430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 263, 396, 531, 668?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14648 is divided by 1621.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39242377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16799.\nAnswer: 107, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4312.3926843517555 + -226608399.4073162582445. Let j = -226612701 - b. Let x = -10.8 + j. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 42, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -88\/3. Let o = -3 - -6. Let w = o + -4. Do u and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.78903 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 181 + 0 = y - 5*u, -413*u + 7 = 28*y - 412*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7960)\/(-265) + (-162)\/4293\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*i\/i**1*i)\/i)\/i*i*i)**(10\/13)\/(i**(-2\/3)\/i**5) assuming i is positive.\nAnswer: i**(311\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -113.27?\nAnswer: 112.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 3 + -2 + 2 + 7 + 39 + -35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20120 + 4002442?\nAnswer: 4023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-46))**(7\/5)\/(j*j**11)**(-9) assuming j is positive.\nAnswer: j**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -13. Is c less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 327*y - 320*y - 336. Calculate the remainder when y is divided by (-1 + -23)*(0 + (-12)\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 0*w**4 + 0*w**4 + (-4*w + 6*w - 24*w)*(0*w**3 + 3*w**3 - 5*w**3) as i*w + y + p*w**2 + b*w**3 + a*w**4 and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(325) - (0 + sqrt(325))) + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**4 - 10*y**3 - 2*y**2 + 32*y - 24. Let s(o) = 2*o**4 + 2*o**2 + o. Let m(f) = -4*s(f) - 2*w(f). Determine t, given that m(t) = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 52. Suppose -5*r - 15 = 0, -q*r - 12 = -0*o - 3*o. Solve 2*i + o = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6477*b + 20668 + 439199 for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**4 + 6*n**3 + 12*n**2 - 3. Let p be (0 - 0) + 4 + -2. Let j(b) = -5*b**4 - 7*b**3 - 11*b**2 - b + 2. Let r(h) = p*t(h) + 3*j(h). Factor r(z).\nAnswer: -3*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a1 - 1131?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313223123 + 20032?\nAnswer: -313203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 863 divided by -3\nAnswer: -863\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 13.94. Sort 3\/7, y, -1\/2, -0.1 in descending order.\nAnswer: y, 3\/7, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 147 - 27 = 2*z + 25*b, -3*z - 2*b + 7*b + 166 = 0 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141590576 divided by -92?\nAnswer: -1539028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 706*a. Let i(w) = 1122*w - 2. What is i(k(z))?\nAnswer: 792132*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4942\/(-567))\/((-6)\/(-9)) - (10591\/(-459) - -23)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 15*o**2 - 34*o - 4. Determine y(-13).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9634072 by -14.\nAnswer: 688148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -2*p, 0*p - 9 = -5*p - c. Let x be p\/(-10) - (-305)\/25. List the prime factors of (4\/x)\/(1\/57).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 5. Let y(b) = -b**2 + 5*b - 1. Let a be y(4). Suppose -z - a = -0. What is the third smallest value in z, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35853 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230404 (base 6) to base 15.\nAnswer: -32421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:45 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 18. Let f = -20 + 38. Let y = 18 - f. Does 6 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -4*m - 3*t, 0 = 4*m + t - 13. Suppose s + m*s = 316. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 17*x**2 - 29*x + 20. Let l be c(-15). Suppose 5*u - 9825 = u + l*m, 2451 = u + 4*m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293 * -1\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40968.34*5.\nAnswer: -204841.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -36.92. Let p = y - 199.08. Let g = p + 202.0000139. What is g rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z**3 + 0*z - 173\/24*z**4 + 1 + 0*z**5 + 11\/120*z**6 - 9*z**2. What is the second derivative of m(u) wrt u?\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. Let u be ((-4)\/(-228))\/(z\/(-6)). Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/12)\/y**(-4))**(20\/11)\/((y\/y**(-2))**45\/(y**1)**(-4)) assuming y is positive.\nAnswer: y**(-4352\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 1532*c + 74109. Calculate d(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -364 (base 11) to base 13\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (10\/(-10) - 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4887518 and 1946?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937370173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1992248035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 123 - 9*i - 114 - 7*i**2 - 2*i**3 + 4*i**3 - i**2. Let x be (-2 + 2)\/(-1) + 5. What is the tens digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2426941*x + 229127 with respect to x.\nAnswer: -2426941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4046623 + -1?\nAnswer: -4046624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 2 - 190 = 48*g - 20*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/9 + 17 + -2. Suppose u + k*u = 946. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139 and -0.1225.\nAnswer: -17.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21950 is divided by 122?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -v + 85, u + 4*v = -1066 + 1391 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2071708 or 2071706?\nAnswer: 2071708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 34 - 38, 2*m = n - 9 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 52021564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*w + 7, 3*w - 4*l = w - 36. Let q = w - -8. Calculate the remainder when -39*(q + 1 + -2) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -2\/3 in increasing order.\nAnswer: -5, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.01 and -45.\nAnswer: 1305.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -263198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 430 = 385 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.9 - 4.7. What is the nearest to 0.2 in -0.5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88102 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**2 + 34*x**2 + 4370*x - 4370*x - 37*x**3.\nAnswer: -37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*w + 96. Let j be (-88)\/(-114) + w\/(-18). Which is the third biggest value? (a) -5 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/15*90\/100.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Let g(l) be the second derivative of 2*l**5\/15 + 13*l**3\/6 - 13*l. Let f(j) be the second derivative of g(j). Give k(f(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*o = i, -2*i = 4*o. Let d = -9 - -10. Which is the closest to i? (a) 5 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l**2. Let k(g) = -3*g + 0*g - 2*g + 11*g. What is y(k(r))?\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * 550.9.\nAnswer: -24.2396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 10*y - 85 = 0, -2*x + 69*y + 30 = -45*y + 110*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.218 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = t, -t = -2*t - 5*b + 15. Suppose -n - 5*i + 559 = 0, -t*n - 4*i = -3*i - 2819. List the prime factors of n.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 1:57 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033572000 rounded to the nearest one million?\nAnswer: 1034000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10147328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (6 - 3 - 2)*(1 - 1 - 2))*(0*i + 3*i - i)*(-1 + 4 - 2).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89\/2 - -46. Let t be 468\/448 - (-2)\/14. Let d = t - 139\/144. Which is the closest to -1\/3? (a) 0 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:47 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51, 117, 201, 303, 423, 561, 717?\n\"Answer: 9*l**2 + 39*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24715*k**4*x - 4949*k**3*x + 2777*x + 18842 wrt k.\nAnswer: 98860*k**3*x - 14847*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:25 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n - 90. Let y(r) = 100*r**3 + 45. Let c(l) = 118700*l**3 - 3*l + 3*l - 4 - 118709*l**3. Calculate n*c(v) - 4*y(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a. Let r(y) = 1911*y. Let m(o) = -3*r(o) - 357*z(o). Let k(u) be the second derivative of u**3\/6 - 3*u. Calculate 119*k(q) + 6*m(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2. Let i(n) = 71*n**2 + 3*n - 5. Let x(v) = 81*v**2 + 2*v - 4. Let z(y) = 4*i(y) - 5*x(y). What is z(a(d))?\nAnswer: -3025*d**4 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in 1, 9, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402*a*q**4 + 137*a*q - q**4 wrt q.\nAnswer: -4824*a*q**2 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -204 + 6757105?\nAnswer: 6756701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -65*k - 226. Calculate w(-19).\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3225313 (base 7) to base 6.\nAnswer: -12232311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 3*q = -3*h - 91, -30 = h - 5*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c - 2*c**2 - 2\/3*c**3 + 3. Find y such that n(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:43 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -7. Let u = 21 + l. Which is the second smallest value? (a) 0.3 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1 + (-2)\/(-6)). Suppose 3*g = -g + 16. Suppose 0 = -a + 2*l - 4, 0 = 5*a + g*l - 3*l - 13. Solve -a*j = -x - 8, r = 3*j - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*r**2 - 3 + 1 - 47*r**2 - 5*r + 7*r + 0 in the form p*r + i*r**2 + n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38348 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-3200)\/80)\/1160.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from pnpse.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 1, x: 3, n: 6}. Give prob of sequence pn.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {j: 4, b: 2, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 10 = -4*d. Solve 40 = d*s + 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -3\/4, -0.54, -3, -3\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2141 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/1)\/(6\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2058?\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 6.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o**4 - o**3 + 2*o**2 + 0*o**7 + 0*o + 0*o**6 - 1\/15*o**5 - 163\/336*o**8 - 2. Find the third derivative of t(y) wrt y.\nAnswer: -9780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -19. Suppose q + 3*o - 4 = 0, -3*q + 7*q - 2*o - 16 = u. Suppose q*m + 5*n + 23 = 0, 0*n - 4 = -m + 2*n. Which is smaller: m or -5\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -282, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-5)\/(-3))\/((-36)\/(-54))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose -u*x + 4*j + 61 = 18, 5*x - 4*j = 77. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = b - 5*v, -23*v + 22*v = 0. What is the hundreds digit of ((-2300)\/250)\/((-4)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1))\/(3\/9*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0006 at most 0.688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d - 93*d = -14 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-5) - 6\/20). Let h(m) = -m**3 + 10*m**2 + 4. What is h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/406865965 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (8 - (16 + 0)) + -6 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2554*o**2. Let u(k) = -111*k**2. Determine u(n(a)).\nAnswer: -724043676*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*o + 3 = 4, 0 = 5*v - o - 58. Let n = v + -7. Suppose -20 = 4*l, 73 = n*p - 0*p - l. Calculate the remainder when 83 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/12 - 5*z**3\/2 - 23*z**2\/2 + 19*z - 3. Let t be w(-13). Solve x - 5*b = 16 + 8, 0 = t*x + 4*b + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 4. Let p(t) = 1. Let s(c) = a(c) - 4*p(c). Let o(y) = y**2. Determine s(o(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - k + 119, 4*c + 4*k = k - 99. Let x be ((-4)\/(-3))\/((-16)\/c). List the prime factors of 1\/((-3)\/(-73 - x)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59772030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1117\/2)\/(32\/64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 48. What is the highest common divisor of w and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 75 = -37. Let v be 3\/15 - p\/(-10). Solve -v*c + 2 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4956829?\nAnswer: 4956829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1662)\/(0 + 1 + 48\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbvvbvvbvvbsvvj. What is prob of sequence sv?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26810 + 38772. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Let x be 0*v\/6*1. Suppose -2*t = -x*t - 54. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*k - 10620 = -w, -2*w + 4218 = -4*k. Suppose 0 = 5*g + 2*o + o - 3557, 0 = 3*g - 2*o - w. Is 80 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(1 - (-10)\/(-4)). Let k(p) = 3*p - 2*p + 2*p - g*p. Is k(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + (4 - (1 + 17 - 1 - (3169 - 3163)))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12639528 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138333857?\nAnswer: 3, 31, 241, 50789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:28 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:40 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -15*b + 19*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/4 - 13*f**4\/4 + 16*f**3 + 250*f**2 - 300*f - 4500 = 0?\nAnswer: -10, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:16 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136269.25 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38064660?\nAnswer: 2, 3, 5, 271, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 424 + -423. Let w be d + -1 + 60 + -58. Solve -4*c = 2*o + 24, w*o - c + 12 = -2*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -699, -2414, -5337, -9480, -14855, -21474, -29349, -38492?\nAnswer: -48915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(112) + sqrt(112)*5*2 - (-1 + 5 + sqrt(112)))*-4 + -3)**2.\nAnswer: -4800*sqrt(7) + 179425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2828 + 908 = 6*v. Let d = v + 603. What are the prime factors of d?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.4, -219, -172.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/17 + 10*h**4\/17 + 20*h**3\/17 + 20*h**2\/17 + 10*h\/17 + 2\/17 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 11. Give g(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8669574, -8669579, -8669590, -8669607, -8669630?\nAnswer: -8669659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43382 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w + 63*w - 16*w - 15*w - 11*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 166451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 88 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1451\/11 + -132. Let n = 13.1 - 12. Let b = n + -0.1. Sort o, b, -0.3 in increasing order.\nAnswer: -0.3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -19. Let -2\/3*r**z + 2\/3*r + 0 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -1\/9 (c) -3\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 42. Let w(a) = a - 83. Determine -5*k(m) + 3*w(m).\nAnswer: -2*m - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 89 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -916612093\/93 - -9854900. Let z = -1144 - k. Let s = 193\/651 - z. Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1039911875*s**5 + 58102002*s?\nAnswer: -20798237500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*q**2 + 544025*d*q - 5384119*q**2 - 4*q + 12 wrt q?\nAnswer: 4*d - 10768238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.4 - -3.3. Let x be ((-4)\/(-35))\/((-1)\/5). Is x >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 + 2389\/12. Let h(j) be the second derivative of -s*j**4 + 3*j + 1\/2*j**3 + j**2 + 0. Calculate h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/11)\/(m\/m**(-4)))**(2\/9) assuming m is positive.\nAnswer: m**(-34\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/12188484 and -69\/4401397.\nAnswer: 158450292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*q = 1248*q - 396*q - 447*q + 6944 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcd when three letters picked without replacement from cmcdokcc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650\/(-2470)*(-3)\/15.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = -4, a + 28 = 3*g. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2527\/9 - 281. Let j = -7 + 6.7. Which is the smallest value? (a) j (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a microsecond in nanoseconds?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v = 7*v - 504 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 93. Calculate l(18).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1eb6 - -4?\nAnswer: 1eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 101, 131, 181, 257?\n\"Answer: t**3 + t**2 + 6*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/66)*n)**10)**(11\/4))**41 assuming n is positive.\nAnswer: n**(27265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44154 and 78496.\nAnswer: 706464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = 15. Let n = c + 4. Let i(y) = 2*y**2 + y - 1. Calculate i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 times -0.13?\nAnswer: -92.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q - 7. Let u be d(-3). Suppose 578 = 5*n - v, -u*v - 53 - 407 = -4*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 8*p + 6. Solve -p*v + 1 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*s = 24, 3*s = -0*y + 5*y - 25. Suppose -y*j - 3*j + 221 = 4*w, 0 = j - 1. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66042563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 486661312089 from -3.\nAnswer: -486661312092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7088418 and 2362806?\nAnswer: 7088418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 11:47 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 704951938?\nAnswer: 704951938.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 - ((2 - 8 - -11) + -7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2569 divided by -18299\nAnswer: 2569\/18299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*p = -60, -z + 5*p + 131 = z. Let k be 18\/24 - z\/(-12). What is the tens digit of -2*(-2)\/(-24) + 295\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 38377969.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 + -60 - (4 - -5)) + 2 + -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*z - 16, z + 108 = 3*h + h. Suppose 20 + h = 4*g. Let n be ((-10)\/(-4))\/(1\/2). Solve 3*r + r - g = n*m, 0 = -m + 3*r - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2 + 1 + -1*1*sqrt(704) + ((2 + sqrt(704))*-6 - (3 + (-1*sqrt(704))**2)).\nAnswer: -718 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 76*x**2 + 428*x + 12. Let w be t(32). What is the highest common factor of 497 and w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4)*2\/(-5)*(-125)\/50. Let q be (2 + 2 + -3)\/(-1). Which is the closest to -4? (a) o (b) q (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10094 and 59\/54033?\nAnswer: 77915586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, 243, 348, 433, 492, 519?\n\"Answer: -t**3 - t**2 + 129*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (140\/3045)\/((-6)\/9)*1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6160536 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 2*c**3 - 10*c**2 - 14775*c**5 + 14778*c**5 + (-2*c - 2*c + 3*c)*(c**4 - 2 + 2) - c**5 - c**4 + c**4 + 3*c**5 - c**5 - c**5.\nAnswer: 2*c**5 - c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.089477 micrometers?\nAnswer: 0.000004089477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 99.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (47 + 24) - -146.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1\/573, -2\/3, -0.04?\nAnswer: -1\/573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.517755 millilitres to litres.\nAnswer: 0.000517755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d + 27. Let t(q) = 7*q + 12. Let h(r) = -4*p(r) + 9*t(r). Let n = 59 - 38. Let b be 2\/7 - 111\/n. Let o(x) = -2*x - 1. What is b*h(f) + 2*o(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, 409, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8487 - -0.0513. Let h = -13 + y. Which is the smallest value? (a) 3\/7 (b) -4 (c) h (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 2 = -11*k + 19*n, 0 = -2*k + 5*n + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let a(k) = 2*k**3 - 4*k**2 + 9*k - 8. Let u be a(2). Suppose 3*b = u*b - 84. Let c(j) = 11*j - 3*j + b - 7*j. Determine z(c(l)).\nAnswer: 2*l + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/30670 and 127\/386442?\nAnswer: 1932210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256919187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684601820 to the power of 1\/2, to the nearest integer?\nAnswer: 41044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 446*w**3 + 1780*w**2.\nAnswer: w**2*(w + 4)*(w + 1780)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.25, 1\/6, -0.5, -5, 0.08?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + ((8 - 1) + -4 - 4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/8 + 13\/24. Is n greater than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - x - 9 = 0, -2*q + 19 = x. Let l = 3 - -24. Let c = l - q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8749.887ml in litres?\nAnswer: 8.749887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 4, -13 = c + 4*h. Let r be c + (1 - (2 + -12)). What is the tens digit of (7\/(r\/(-68)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l**2 + 144*l - 564. Determine r(4).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 6*h**7\/7 + 10*h**6\/3 - 2*h**3 + 23*h**2\/2 + 1155. Find the third derivative of t(j) wrt j.\nAnswer: 720*j**3 + 1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722855972?\nAnswer: 2, 29, 43, 313, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = 3*m, 8 = x - 17*m + 19*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let m = 4 - 4. Suppose h + h = m. Let i(d) = -5*d**2 + h*d**2 + 2*d**2. Give i(a(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azyzrtttzy. What is prob of picking 1 y, 1 z, and 1 t?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 548\/10 + 3 + (-9)\/(-45). What is the highest common divisor of 87 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6159*b**5 + 32072*b**5 - 11319*b**5 + (0*b - 2*b + 0*b)*(-2*b**4 + 3*b**4 + b**4) + (-b**3 - 2*b**4 + b**3)*(3 - b - 3) - b**5 + 2*b - 2*b.\nAnswer: 14591*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/105, -1, 0.2, 5, 228, -2\/7 in ascending order.\nAnswer: -1, -2\/7, 2\/105, 0.2, 5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64749417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7552 and 2978408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:56 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498 + 550. Calculate the remainder when 132 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1156 = -4*f, -4*z - 7*f = -3*f - 1180. Let p = z - 56. List the prime factors of p.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 24*u**2 - 52*u - 228. Give z(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -r - 478, 2*v + 3*r - 252 = 0. Is 91 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.74189 and 32.\nAnswer: -343.74048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.0619 minutes in microseconds?\nAnswer: 9363714000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4795 - -52783\/11. Let y = -1080\/319 + g. Sort 1, y, -2\/11.\nAnswer: -2\/11, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*s - 28 = 3*m, -3*m + 2*s + 44 = 0. Calculate the highest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*z - 3. Let n = -1 - z. Solve 0 = -v + n*t + 3, 5*v = 2*t + 9 + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-70 - (-16 + -13 + -2))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30202 or -2299?\nAnswer: 30202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 8, j: 2}. Give prob of sequence ppi.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 - 6*q**2 - 1059*q + 6. Let c(m) = -9*m**3 - 7*m**2 - 1060*m + 7. Determine 7*a(d) - 6*c(d).\nAnswer: -2*d**3 - 1053*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -53562*o - 51928*o + 99183*o as g*o + m and give g.\nAnswer: -6307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 3 + 0*v - v**3 - 5*v - v**2 - 5*v. Let z be u(-5). What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 59.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 77*g**5\/20 + g**4\/2 + 5*g**3\/6 - 2*g. Let p be c(5). Round p to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) 0.5 (b) 1.83 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956519.\nAnswer: 73, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppsu when four letters picked without replacement from pssususpus.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 0, -12, -40, -90, -168, -280?\n\"Answer: -f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 82*f**2 + 188*f + 375. Calculate the remainder when w(-2) is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 52*m**2 - 105. Is u(9) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 18*d**2 - 45*d - 2. Let c = -21169 + 21172. Determine v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512429 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Solve -4*r - 15 + x = m, -3*r + 2*m - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2289 divided by -109\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 4*y - 4. Let q(a) = -6*a**2 - 5*a + 5. Let t(u) = -5*m(u) - 4*q(u). Let r(o) = o**2. Give r(t(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let m = 15 - 11. Find the second derivative of -r + c*r + r**m + r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12791 + -9131. What are the prime factors of j?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 997 (base 15) to base 10\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5450)\/(-1725) - ((-68)\/12 + 9).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 + 1355*l + 10520 = 0.\nAnswer: -263, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6816.182 years to months.\nAnswer: 81794.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - 11\/1. Let y be u\/30 - (-72)\/5. Let i = y + -12. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -3.9. Let k(j) = j**2 + 1 - 4*j - 2*j**2 + 6 - 1. Let p be k(-5). Sort 3, p, l in increasing order.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-8)\/16) + -1. Suppose -3*l = -p*y + 3*y - 492, -5*l - y + 836 = 0. Calculate the lowest common multiple of 20 and l.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:54 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 7 = 19*y - i, 4*y = 4*i + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.72 (b) 0.94 (c) 4 (d) 0 (e) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a - 26*a**2 - 12*a**2 + 2*a + 39*a**2 - 3. Let t(x) = -x**2 - 6*x - 2. Let n be t(-5). Suppose -j + 2*l + 4 + 1 = 0, -4*l + 25 = n*j. Give h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 241, 360, 479?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/5040 - j**6\/180 + j**5\/30 - 2*j**2. Let m(u) be the third derivative of h(u). Determine m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653476 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9567*y**3 - 180182*y**3 - 214653*y**3 - 477418*y**3.\nAnswer: -862686*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.57061 + -0.57. What is d rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 3*o)*(-34792 + 34792 - o + 682*o**2).\nAnswer: 2728*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, l: 2, p: 3}. What is prob of picking 2 g, 1 p, and 1 l?\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 271483, 1085953, 2443403, 4343833, 6787243, 9773633?\n\"Answer: 271490*w**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9607 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -533, -775, -977, -1133?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 923?\nAnswer: -922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5103152, -5103158, -5103176, -5103212, -5103272, -5103362, -5103488, -5103656?\nAnswer: -5103872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*y**2 + 24*y**2 + 19*y**2 + 16*y - 2)*(5*y - y - 2*y) in the form o*y**2 + t + n*y**3 + q*y and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -0.1, 1 in descending order.\nAnswer: 1.7, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 92 = z, 1602*z - 88 = 4*v + 1600*z for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00175 + 0.29825. What is the biggest value in 0.1, -2, 0.084, 0.04, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458371 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2164*g - 271*g**4 + 97*g**4 - 54*g**4 - 4080*g wrt g?\nAnswer: -2736*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-2\/11)*n))\/(n**(-7)*n)*n**(-1)*n**5*n\/n**(-8)*n**4*n**(-1)*n**(-7) assuming n is positive.\nAnswer: n**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1153, 1593, 2033?\n\"Answer: 440*o + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/46 + 4 - (-1 + 3 + 3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13331 + 2?\nAnswer: -13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1*11 - (-370500)\/114) + (-4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**3 + 2*z**3 - 3*z**3)*(-2 + 2 - 2)*(-15 - 11 + 3) in the form i*z**2 + h + s*z + k*z**3 and give k.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 892 - 892.00569. Round n to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (8 + -38 - -10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6967, 5890, 4095, 1582, -1649, -5598?\n\"Answer: -359*t**2 + 7326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/4 - 729413*p**2\/2 + 1458833*p\/4 + 4376481\/2 = 0. Calculate p.\nAnswer: -1458827, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let k(f) = 125999314*f. Determine l(k(r)).\nAnswer: -125999314*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/40 - 3*q**5 - 61*q**4\/8 - 59*q**2 - q - 32. Solve y(k) = 0 for k.\nAnswer: -1, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141277166*h*t**5 + 2*h*t**4 + 43610079*h*t**2 - h*t wrt t?\nAnswer: 8476629960*h*t**2 + 48*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1. Let y(f) = f + 4. Suppose -1 - 79 = -4*s. Let k(a) = s*w(a) - 5*y(a). Let v(q) = -2*q**2 + q - q. Give k(v(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160756805 a multiple of 4765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 14*k - 12. Let s(o) = -o**2 + 7*o + 32. Let x be s(-4). Calculate i(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6 = -3*o, 5*o - 5*q = -2*q - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 15) to base 8.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.3 + 19.7. Let l = f - 90.0043. What is l rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -212*h - 3637. Determine y(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656822017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.5073949 and -0.32.\nAnswer: 7.1873949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 18. Let l = a - -19. What is the second derivative of -l*u**5 + 4*u - 2*u + 3*u - 4*u wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/11 + 37*r\/11 + 312\/11.\nAnswer: (r + 13)*(r + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66379151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-30)\/12)*0. Let t(m) = 5*m**3 - 2*m**2 - 2*m + 22. Let u(h) = 2*h**3 - h**2 - h + 11. Let f(y) = -3*t(y) + 7*u(y). Calculate f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let z(d) = -2223 - 2219 - 405*d + 6661 - 2219. Give i(z(x)).\nAnswer: 1215*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j + 5*z + 13, 0 = -4*j + 3*z + 17. What is the third derivative of 96*v**6 + 185*v**2 + 259*v**2 - 524*v**j wrt v?\nAnswer: 11520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 - a - 1. Let v be x(3). Let k = 4 + v. Let w = k - -2. Solve -2*n - 4*z + 5 + 11 = 0, w*n - 5*z = -20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -583735.06 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10*q + 19 = 14*q, -z = 4*q - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**9\/5040 - h**8\/2240 + h**4\/8 - 4*h**2. Let f(a) be the second derivative of d(a). Factor f(x).\nAnswer: -3*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3146)\/2541)*(-140)\/49.\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18e0b0 - -5?\nAnswer: 18e0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 40. Let x = -0.06 + -0.34. Which is the smallest value? (a) x (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 369109610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 725963647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 - 2*l - 6. Suppose -14 + 9 = -4*d + 3*x, -4*d + x - 1 = 0. Suppose -2 = -4*f - 26. Let w(t) = -t**3 + 1. Determine d*h(c) + f*w(c).\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524007 by -2211.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*x + 26*x - 3*j - 49, x - 4*j - 10 = 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11547.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by -389.\nAnswer: -101\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**5 - 67*g**3 - 11964*g**2 wrt g?\nAnswer: -600*g**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14692 divided by -2\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -r - 4044, 3*m - 3*r = -0*r + 6069. What is the highest common factor of 43 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, s: 10, m: 1, h: 2, p: 2}. Give prob of sequence ss.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31658372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3327889 and 151?\nAnswer: 3327889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.78 + 11. Let v = t + -0.66. What is v rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*k - 271*k + 2251*k = 527*k + 130634 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808891544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-40)*6*(-2)\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2004 and 423282.\nAnswer: 141376188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40954 less than -446?\nAnswer: -41400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 (base 11) in base 4?\nAnswer: 30131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*f)*(-1 + 1 + 3 + (2 + 3 - 1)*(-3 + 16 + 1))*(-f + 2*f - 3*f).\nAnswer: 236*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1037499*s**3 + 3*s**2 + 6*s - 8. Let w be a(4). Round w to the nearest 1000000.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378.6 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-60)\/(-18))\/5)\/2. Let j = 8 - 6. Solve -1\/3 - l*t**j + 2\/3*t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2963309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*y - 456*y - 450*y + 1434*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31088 and 349216?\nAnswer: 678526688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 + 17*m - 27. What is the tens digit of z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5414 = 8*h - 18558. Let i(d) = 1643*d - h*d - 2*d**2. Let r(p) = 13*p. Calculate i(r(s)).\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*l - 219*l = -145 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2472888)\/(-151844)*14\/3?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.1, -2\/5, -0.03, 3\/4, 2\/17?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.253 in 5, -11, 41\/18?\nAnswer: 41\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2437*r**2 + 341*r**2 + 790*r**2.\nAnswer: 3568*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -598 + 294 + 293 - z. What is r(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2*(-4)\/8). Does 8 divide (9 + h)\/((-3)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142243 (base 5) to base 2\nAnswer: -1011100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5854, 11713, 17574, 23437, 29302, 35169, 41038?\n\"Answer: f**2 + 5856*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 124 = 2*u - 97 + 32 - 71, 5*u = 25 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 13 = -55. Suppose v + 57 = 3*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 4) to base 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1034 by -1022777.\nAnswer: -1034\/1022777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111348 is divided by 53798.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36044 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h + 3. Let n(i) = 8*i**3 - 20*i - 20. Suppose 4*l = -5*d - 3, -2*l + 18 = -5*d - l. Calculate d*n(z) - 20*s(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*i - 22894 = 0, v + 0*v = -i + 5731. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16631619 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 h = 13889 + -7510. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 13, 32, 59, 94, 137, 188?\n\"Answer: 4*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1556510231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35986 + -35961. Let u = 7 - 2. Which is the nearest to t? (a) 2\/7 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 + 287. Solve 12*g + 50 = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-1\/19)*i**(-2\/7)*i*(i*i*i**(2\/19)\/i)\/i*i**(-8) assuming i is positive.\nAnswer: i**(-696\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-354)\/(-4) - 15\/(-10). Let o = g - -86. Is o - -632 - (15 - 12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5564 - -5565. Sort m, 2\/7, 0.4, -6 in ascending order.\nAnswer: -6, 2\/7, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -256*a**2 + 2*a - 76. Let c(u) = 132*u**2 - u + 39. What is -5*c(t) - 3*s(t)?\nAnswer: 108*t**2 - t + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = -2*u + 6*z, 0 = -3*z + 9. Let f(d) = 71*d - 6. Does 17 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, -8, -54, -122, -212, -324?\n\"Answer: -11*l**2 + 9*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5904.1 * -1.624\nAnswer: -9588.2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112212221020 + 1221?\nAnswer: -112212212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438 divided by -450?\nAnswer: -1219\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.43 and 2107893153.\nAnswer: 2107893152.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*t + u + 7 = -270*t, 2*u - 21 = -5*t. Let y(i) = -19*i**2 + 5*i - 5. Let k(a) = 161*a**2 - 42*a + 42. Determine t*k(j) + 42*y(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (1 + 2 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 18*p**2 - 14*p + 2. Give q(-17).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 570 = -5*z. Suppose 5*v = -4*b + z, -v - v = -4*b - 114. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137844 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 35*d - 184. Calculate l(-7).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 263*i**4\/2 + 2743*i**3\/3 - 2318. What is the third derivative of l(y) wrt y?\nAnswer: 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*t - 4 = -139*t - x, 0 = 21*t + 3*x - 5*x + 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9356 + 4681 + 123*z**5 + 6*z**2 + 4676 wrt z.\nAnswer: 7380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2 + 9335845*v - 1037316.\nAnswer: -(v - 1037316)*(9*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 30 = 3*o, -5*o + 0*o = 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*4\/24 + 978\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1029)\/(-4802))\/((-4)\/7). What is the nearest to -52 in 5, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 9. Let h be w(-7). Suppose h*s - k + 1 = 0, 0*s + 21 = -3*s - 5*k. Let a(g) = g**3 + g**2 + 4*g + 3. Calculate a(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84\/18 + (-1)\/(-3). Solve 3 = -7*a + 4*a + n*j, 0 = 3*a + 4*j - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009185 to six decimal places.\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18128 and -133\/116789640.\nAnswer: 233579280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-4))\/(-1)*28\/700.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12, 12*g = 7*g - 3*h + 92. Let w = 24 + -8. Calculate the lowest common multiple of w and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 14225?\nAnswer: 1\/14225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 5*j + 4. Is x(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/(o*(o\/o**(-1\/11))\/o)*(((o**(2\/45)\/o)\/o)\/o)\/o**(-4\/5) assuming o is positive.\nAnswer: o**(1858\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 6*i**2 + 5*i - 1. Let g be l(-8). Let s be g\/(-5) + -5 + 3. Let z = s - -218. Calculate the common denominator of 11\/9 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.798 times 5313\nAnswer: 73308.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -58. Let f be c\/(-15)*5\/2. Find the second derivative of -d + 3*d - d**3 + 2*d**f wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 975*l = 980*l + 30, 3*b - 5*l - 35 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 157.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1730032 (base 13) to base 12.\nAnswer: 2622b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = 3*a. Let c(t) = -t**3 - 7*t**2 - 7*t + 19. Let l be c(-5). Let y = l - a. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-6))\/(1\/((-593324)\/8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 34 - 16. Let z = 28 - x. Let p(h) = h**3 - 4*h**2 + 1. Let f(g) = -g**3 + 5*g**2 - g - 1. Let i(o) = z*p(o) + 2*f(o). Calculate i(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/120 + 3*f**5\/20 - f**4\/3 + 4*f**3\/3 - 2*f**2. What is the units digit of j(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1. Let f(l) = 12*l - 15. Let b(k) = -f(k) + 4*w(k). Let x be b(-15). Suppose -6*n + x = -13. What is the remainder when 101 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2337 is divided by 2305?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}