diff --git "a/data/dm_maths/full_data_2/6991_11255.jsonl" "b/data/dm_maths/full_data_2/6991_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/6991_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 15\/28 + (-194)\/776\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1306 and 0.1?\nAnswer: 130.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 354420244 to the power of 1\/2, to the nearest integer?\nAnswer: 18826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13390261 and 0.08025.\nAnswer: 13390261.08025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/75*-6*(-100)\/40.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6289 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.244 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-3 - -7) + 212. Let q = -283 - -157. Let s = y + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**2 - 872*n + 0*n**2 + 2*n**2 + 2*n**2 + 0*n**2)*(3 + 3*n**2 - 3) as d*n**3 + s*n + b*n**2 + c*n**4 + q and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 265*q. Let j(f) = -54022*f. Give n(j(d)).\nAnswer: -14315830*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36594*o - 72265*o + 35715*o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*b**2 + 59*b**2 - 36*b**2 in the form u + s*b**2 + m*b and give s.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 551.906\nAnswer: -55.1906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 33 - 14 + 6 - 2*a**2 + a + a to the form x*a**2 + o + u*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -12.4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 428 + 382. Does 8 divide 2\/(-36)*4 - (-2035)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*s = -44, 0*w - 100 = -5*w + 5*s. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 868667, 1737344, 2606019, 3474692, 4343363, 5212032?\n\"Answer: -o**2 + 868680*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peve when four letters picked without replacement from pddvvdveevvvvedvvv.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3.67 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -m + 3*f - 35, m - 3*f = -11. Let s be ((-24)\/m)\/((-6)\/(-20)). Suppose -4*p + 81 = 5*r, -2*p = s*r - 0*r - 48. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5)\/10 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -92, -306, -720, -1400, -2412, -3822, -5696?\n\"Answer: -11*j**3 - j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-2 - 1 + 1)*(-1 - 5 + 1)*(-22*x + 23*x + 48*x).\nAnswer: 1470*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -49*a**2 + 1488*a + 22314. Calculate l(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-10))\/(4*2\/(-3060)). Is f bigger than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/140 + 2\/7. Suppose o*i - 24\/7*i**3 - 2*i**4 - 6\/7*i**2 + 0 = 0. Calculate i.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3, s: 10, x: 4}. What is prob of picking 2 z and 1 s?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/11)*o\/(o*o*(o\/o**(-8))\/o))\/((o*o*o**3*o)\/o)**(-19))**(3\/10))**39 assuming o is positive.\nAnswer: o**(55458\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + 23 + 1. Suppose -2*m + 3*m = 2*h - 30, -3*h = 4*m - v. Calculate the remainder when 38 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2 - 3 - b**2 + b**3 - 2 - 2*b. What are the prime factors of r(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(2\/(-12)). Find the second derivative of 4*k**3 - 3*k - 4*k**3 - v*k**4 wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6532.763 decades to years.\nAnswer: 65327.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -31. Let h(v) = -v**3 - 4*v**2 + v + 1. Let w be h(s). Let r be -3 - (-1 - (w - 0)). Which is the nearest to 3? (a) -0.5 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*t**3 + 413*t**3 + 3*t - 3*t.\nAnswer: 990*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*f - 27 = 3*k, 19 = -6*k + 4*k + 3*f - 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*h**3*i**3 + 11680*h**3*i + 60*h**2*i**2 - 37527*i**3 wrt h.\nAnswer: -1266*i**3 + 70080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -1\/3, 1\/2, 0.4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*l + 44*l - 2, -5*c = 2*l - 62 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/45 and -26\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-3)\/1)\/(12*(-10)\/80).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 8*c**7\/35 + 9*c**3 + 10*c**2 + 6*c. What is the derivative of i(h) wrt h?\nAnswer: 192*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000405 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 23632903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. Suppose v = 3*g - 4*x - 35, 6 = g + x - 15. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k + 16*k + 22*k + 54*k.\nAnswer: 138*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 11. Let v be s(7). What is the second biggest value in v, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 53*a**2 + 25*a - 5. Let d(s) = -27*s**2 - 11*s + 2. What is 5*d(y) + 2*g(y)?\nAnswer: -29*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 1 (c) 0.045 (d) 0.1 (e) -241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 - 1959 = -7*r. List the prime factors of r.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1014\/21 + 9 + ((-1738)\/154 - -17) + -6.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {r: 6, o: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 9.3. Let x = f - 0.5. Let d = 5.5 - x. Which is the closest to d? (a) -3 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 67*j - 63*j, -12 = -2*j + 4*o. Solve 3*x + 20 = j*c + 3, 3*x + c + 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 6 = 0, 3*h + 51 = 3*z. Let k(v) = -v**3 - 19*v**2 + 18*v - 23. Is 3 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101311 + 2302?\nAnswer: -1033003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108238\/(-66789) - 14\/(-9). Which is greater: 0.3 or j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-308)*-7)\/((-1)\/1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-48)\/18*6\/4. What is the units digit of (-4 - 48\/(-9))\/(x\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 2*n + 64. Determine j(9).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 30*c + 38541. Calculate n(-1285).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*q**3 + 11*q - 11*q)*(1 + 0 - 4)*(0*q - 2*q + 0*q).\nAnswer: 240*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1\/6 (c) -272\/11 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56335687 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**3\/3 + 3*z**2 + 3*z + 2. Calculate the remainder when 1 - ((-2 - 1) + 0) is divided by g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270152*l**3 - 158983*l**2 wrt l.\nAnswer: 1620912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 + -1)*1. Solve z*j - j + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/(((-168)\/(-35))\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2176 + 14495. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 10*w - 37. Let s(j) = 17*j**2 + 31*j - 136. Let h(q) = 7*p(q) - 2*s(q). What is h(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 + 2 = 0, 0 = -2*x + s - 18. Suppose -14 = -2*g - 4*p, -3*p - p + 13 = g. Let u = g - x. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 22*a**2 + 85\/2*a**3 + 0*a**5 + 1 + 1\/12*a**4 + 0*a + 1\/120*a**6. What is the hundreds digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7841, -7426, -7011, -6596?\nAnswer: -6181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 - -0.1. Let o = w - 4.08. Let u = o - 1.2. What is the second smallest value in u, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 246\/917 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let z(f) be the first derivative of 2*f**2 + 47*f + 8. What is x(z(n))?\nAnswer: 4*n + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114277845 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2380 and 2380 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -41023667.1 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amwa. Give prob of picking 1 w and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-4*5)\/(732\/(-3477))?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 2824.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 55 = 5*s, -p + 15 + 0 = 2*s. Let j(y) = -y**2 - y + 4. Let u be j(-3). Let v be (-14 + 17)\/((-2)\/u). Solve -4*m = v*b + 8, -5*m - s = 2*b - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = c + y, 4*c - 3*y + 27 = 145. Suppose 0 = x - 2*x + 13. Calculate the remainder when c is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = a - 3*f, -2*a + 9 = -3*f - 24. Suppose d = a*d - 5648. List the prime factors of d.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 538 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:44 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -460 + 4144\/9. Let u = 485 + -527.3. Let q = 42 + u. Sort f, q, 1 in decreasing order.\nAnswer: 1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6121 - -6116. What is the biggest value in -23, 5, 0.5, k, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72375 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-293 - -298 - (65 + -1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.329 rounded to one dp?\nAnswer: -85.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 336\/(-18) - (-3)\/(-9). Let c(u) = u**2 + 47. What is the hundreds digit of c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6)*621\/46. Determine c, given that 3*c - 15\/4*c**3 + 3*c**2 + 0 - t*c**4 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:01 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -207085980 divided by -41417196?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23200001 - 3?\nAnswer: 23133332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/(g\/g**(-4)))**(-11)*(g\/((g\/(g*g**(1\/4)))\/g))\/g**1*g**3\/((g\/(g*g*g**4*g))\/g*g) assuming g is positive.\nAnswer: g**(239\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -32*o**3 + o**2 + o. Let w be m(-1). Let r = w - 12. What is the highest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from ovdozeavz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 334.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*s + 492 = 8808 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159)*-1)\/sqrt(3) + -1.\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 34388?\nAnswer: 34387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 339588 = -5*x, 5*a + 2*x - 7*x = 848970. Suppose -133861 = 4*m - 5*i - 473446, 2*i + a = 2*m. What is m rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 364 - 73 + 112)*(-z + 3 - 3).\nAnswer: 327*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -731, -689, -699, -761?\n\"Answer: -26*a**2 + 120*a - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376.2474 and -0.1.\nAnswer: 37.62474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -5*1*sqrt(1300))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8187*m**3 + 5*m**2 - 9*m. Let a(i) = 4081*i**3 - 3*i**2 + 5*i. Calculate -5*a(d) - 3*v(d).\nAnswer: 4156*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10960000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78868117601 plus 12?\nAnswer: 78868117613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 123 - 957. Suppose -11*j + 9*j + b = 0. What are the prime factors of j?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x + 10 = 0. Suppose 0 = x*j + 23 + 17. Let n(g) = 2*g**2 + 11*g + 12. What is the units digit of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/5 + 1348*d\/5 - 76986\/5 = 0.\nAnswer: 63, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 4, a: 2, m: 1, u: 2, b: 7, k: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 3*u + 2. Let d be z(1). Calculate the remainder when 29 is divided by 33\/9*(0 - d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**4 + 34*h**3 + 235 wrt h.\nAnswer: -8*h**3 + 102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*u + 274, 3*u + 132 = w - 25. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 39*y. Let r(n) = 175*n. Let o(a) = -18*f(a) + 4*r(a). Let p(u) = -u**2 - 512. Determine o(p(v)).\nAnswer: 2*v**2 + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11418897*q + 2732662 wrt q.\nAnswer: 11418897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b - 550188 = -26*b. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)\/((o**(-9)\/o)\/o))\/(o**7*o**(5\/4)) assuming o is positive.\nAnswer: o**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/45 + 7*p**5\/60 + p**4\/6 + 8*p**3\/3 + 5*p**2. Let l(j) be the first derivative of o(j). What is the tens digit of l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17601312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336408 is divided by 8512?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.74656 + -211189434.\nAnswer: -211189433.25344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqjtqqqqqsjqs. Give prob of sequence qj.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + v - 1. Let o(h) = 4*h**2 + 2. Let r(t) = -3*j(t) - 2*o(t). Suppose -2*q = -q - 3. Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/1 - (4 + -3 - 8). Put 0, t, 1, 52, -2 in increasing order.\nAnswer: t, -2, 0, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 28626 = -3*z - 5*t, -5*z + 35785 = -5*t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235362 by 6.\nAnswer: -39227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 5*m + 25, v + 2*m + 10 = 0. Let c be 3*-2 - (-2 + v). Is c greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 6:22 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/7 + 2*h**4 - 3375*h**3\/7 + 55332*h**2\/7 - 168480*h\/7 = 0. Calculate h.\nAnswer: -72, 0, 4, 15, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - b. Suppose -3 = b*s - 13. Is 112\/s - (-8)\/(-20) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14810000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011010100001 (base 2) in base 16?\nAnswer: 36a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 79?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8847008 hours?\nAnswer: 3184.92288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 306 = -3*o, 2*d = -4*o - 204. Let g be (-56)\/d*(-66)\/(-48). Let j = g - 10\/17. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*g**2 - 64\/7 + 24\/7*g = 0. What is g?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:01 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-85)\/(-2) - (-14)\/(-28). What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5))**(-35)\/(p**(-6\/13)*p**(6\/13)\/p) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 2*a**2 - a. Suppose -4*s = -16, 2*s + 2*s = 5*i + 21. What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.730602 to 0 decimal places.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i. Let g be w(1). Let n = -11 - g. Let p = 10 + n. Which is bigger: p or 52\/7?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101.665 - 102. Let d = q + -8.205. Round d to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240 - 235. Suppose t*z - 3*g + 3976 = 11655, 2*g = -2*z + 3078. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187 - 187 + 27*n**3 + (3*n**2 - 5*n**2 + 4*n**2)*(10*n + 4 - 4).\nAnswer: 47*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 16. Let t be u(12). Find the third derivative of -6*a**2 + 5*a**4 - 2*a**t + 2*a**2 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*d + 26*d - 15*d)*(42*d**3 + 21*d**2 - 40*d**3 - 9*d**2).\nAnswer: -86*d**4 - 516*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -8 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -107, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3182378 is divided by 1009?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57050 and 154035.\nAnswer: 1540350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 165\/(-110)*9\/(594\/16)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8223, 20, 1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 183805 + 50645 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22611 and 4421.\nAnswer: 99963231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1543 divide 909464494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -257\/3. What is the nearest to p in -1, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + m + 12 + 14, a + 3*m = 12. Let x = -1066 - -1093. What is the smallest common multiple of x and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -841 + 525. Let v = -313 - s. Which is smaller: -1\/4 or v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058310968 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 2*y - 2*y + 5*y. Let g be v(1). Let m = 5 + -5. Solve 2*h + m*t + 6 = g*t, 5*h + 4*t - 31 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:16 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 481752.\nAnswer: 3372264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 3*m = 0, 0 = -2*j - 4*m + 6. Let c be (-4 + 2)\/(-2 + 1). Suppose -3 = -5*w + c*b, -4*w + 4*b = -11 - 1. Put j, -3, w in increasing order.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116659200\/13 less than -8973786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47741 + -27972. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 84*l + 517. What is q(7)?\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(2\/(-24))\/((119\/(-14))\/17)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 471178 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:28 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*1008\/(-864)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 217, 222, 229, 238?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 30. Suppose -4*y = 3*t + 41, 5*y + 10 = 4*y - t. What is s(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {j: 1, i: 1, o: 1, q: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20700*g**3 + 2*g + 7424?\nAnswer: 124200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 3*x - x + (0 + 0 - 2*x)*(-1 + 4 - 2) + 3049*x - 1271*x + 803*x + 1170*x.\nAnswer: 3747*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z**2 + z + 7. Let c be y(0). Suppose 1 = -2*v - b + c, -v = -5*b - 3. Suppose -56 = -p - v*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 58\/12 - 369\/270?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 704\/224 - (-9)\/(-3)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(2 - 1 - 3)*(-6*g**3 + 4*g**3 - 3*g**3).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41762520 divided by 90?\nAnswer: 464028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16407*u - 9585*u - 11983*u to a + t*u and give t.\nAnswer: -5161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9394 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 0)*(l**2 + 4*l**2 - 2*l**2) + 2*l**2 - 5*l + 5*l)*(2*l**2 - 1 - 141*l + 182*l - 96*l).\nAnswer: 10*l**4 - 275*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u**2 - 12*u + 20. Does 67 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -441*d + 64404. Determine f(146).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223112 - 0?\nAnswer: -223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = -2*k + 171 - 471 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -477 - 1?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154283*t**3 - 769*t**5 + 778*t**2 + 154283*t**3 wrt t.\nAnswer: -46140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754765 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 3960845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23927956 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1095980612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/(-77))\/((-5)\/(-280)*6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 364\/(-205) + (-6)\/(-3). Let t = 27\/25 + -1082\/1025. Let f = y - t. What is the biggest value in -4, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u - 60. Is (822\/u)\/(2\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4582 - -4580. Let m = -4 - -8. Which is the smallest value? (a) -3 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 2\/13 (c) 17 (d) -6 (e) 12 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*((-2)\/5 - (-702)\/405))\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.243, 4602?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 8584324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g - 191. What is b(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 226, 4, -5, 8, -3 in increasing order.\nAnswer: -53, -5, -3, 4, 8, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/6 + (-3)\/9. Suppose -t + 5 = 0, -5*t + 8*t + 161 = -4*i. Let h be i\/3*(-9)\/6. What is the greatest common divisor of h and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 660 - 660.3. What is the second smallest value in -3\/8, -5, x, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 35*t + 36*t = 8, -5*t + 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5\/2 - 165*g**4\/2 + 1455*g**3 - 7125*g**2 - 37905*g\/2 - 20577\/2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 55*g - 431. Calculate the smallest common multiple of (-18)\/(1\/3*-2) and m(62).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 9518\nAnswer: -9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-1)))**(-7\/6)\/(t**0*t*t**6*t))\/((t**(-2\/9)*t*(t\/t**(5\/4))\/t)\/((t**(2\/13)\/t)\/t*t\/(t*t**(-1\/7)\/t))) assuming t is positive.\nAnswer: t**(-26965\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -865\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-154)*(-56091)\/10684.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 676, 680, 686?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -686\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44153459 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 124, 180?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6. Let w = -4 + f. Let n be 52\/60 - w\/(-6). What is the closest to -0.1 in n, 2, -5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 14, z: 4}. Give prob of picking 1 z and 2 v.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 - (-12 - (20 - 32)))) + -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66608743.\nAnswer: 1097, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289409 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/11405, 40, 4\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 4*u + 2. Let h be g(2). Suppose 0 = h*m - 4. Solve -p = -5*a, m*p = 3*a + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93831029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 3. Suppose 4*u - 2*u = 6. Suppose 0 = -2*r - 3*x + 20, 7*r - 5*x = 11*r - 36. Let h(t) = -6*t**2 - t + 4. Calculate r*c(y) + u*h(y).\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2085*b + 46976. Give u(-22).\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313 + 1215547*y - 132 - 1215541*y - 328.\nAnswer: 6*y - 773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 110346, 110367, 110388?\n\"Answer: 21*g + 110325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (3 + -7 - -47). List the prime factors of (-29 - s)\/(4\/262).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 31 (c) 120\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2315)\/(-15279)*4\/(-10)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/50 - 11*f. Factor v(h).\nAnswer: -2*h**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 4*u)*(-4 + 4 - 2*u) + (-5*u + 8*u - 6*u - 49)*(4*u + 2*u - 4*u).\nAnswer: -2*u**2 - 98*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2713.7 + 2708.7. Which is the fourth smallest value? (a) 0.3 (b) w (c) 2 (d) 15\/8 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j - 6. Let t be f(6). Suppose t*c - c = 70. What is the units digit of (-2)\/7 + 102\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2\/19 (c) -2\/13 (d) 3\/7 (e) -3 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h - 9. Let o(z) = -22*z + 22. Let l be 4\/8 + (-114)\/4. Let s be (-316)\/8 - 5\/10. Let g = l - s. Give g*j(a) + 5*o(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, -2, 50, 20620 in ascending order.\nAnswer: -5, -3, -2, 0, 50, 20620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g + 748 - 325 = -440 - 543 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3711 and -582.945?\nAnswer: 582.5739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let k be a(-3). Let x(b) = -2*b**2 + 4*b. Give x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 2. Let b(h) = -4*h + 1. Let o(k) = -3*b(k) + 2*n(k). Let l be o(2). Put -5, l, -1 in decreasing order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 777110690 and 4230.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 354*s.\nAnswer: 3*s*(s + 826)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 90 = h - 2*r, -4*h = 5*r - 447. Suppose 15*p - 12*p = h. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 124.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3868 + 3889. Suppose 3*g - 11 = -38. Let f be s\/12 - g\/4. Solve u - 9 = -f*j, -2*j + 6 = j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 604*s - 16790. Give d(-271).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 120 = -5*v, 5*v - 2*n + 0*n - 115 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 23. Suppose 28*h - m*h = 0. Suppose h = -5*y + 362 + 743. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, -0.202, -924, 18\/31 in decreasing order.\nAnswer: 18\/31, 1\/3, 0, -0.202, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 + -6 + (-3973)\/261?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/8)\/(275\/(-1100)). Solve -z*u - 8*u = 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36235.29 micrometers in kilometers?\nAnswer: 0.00003623529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-234)\/(-52))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 9 = 0. Suppose -4*k + k = -s. Let f be ((-1)\/(-14))\/(3\/12). Which is the biggest value? (a) 1 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199873745 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 9 - 1. Solve 3*k = -4*a - 9, -7*k + d*k = -4*a + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12995695 by -1.\nAnswer: -12995695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 769541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 + -272.07. Let t = 1.57 + l. Does t = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 * 318\nAnswer: -49608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -20. Suppose -2*b - j = 4*u, -2*u - 56 = 4*b - u. Let d be 1*-4 - (b - -9). Calculate the greatest common divisor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53410876?\nAnswer: 2, 23, 580553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10459, 42003, 94591, 168235, 262947?\nAnswer: 378739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 2*q. Let w(g) = -2*g. Let m be w(4). Let r = q - m. Calculate the highest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 3*n + 3. Let g(y) = -29*y**2 + 55*y + 55. Let d(p) = -6*p**2 + 11*p + 11. Let i(t) = -11*d(t) + 2*g(t). Calculate -6*i(q) - 22*m(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v - 7. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/29 (b) -1 (c) 4\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14842 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ooortthhtorrrrfirirr?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = 3*o, -2*k = -3*o - 0 + 7. Suppose -3*u = 0, 35*t - u = 37*t + 6. Put 0.3, t, o, 1 in decreasing order.\nAnswer: o, 1, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -97, -93, -87, -79, -69, -57?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243480?\nAnswer: 2, 5, 7, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -12) + (-3 - 3) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3109724?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2057) + 1) - (sqrt(2057) - (0 + sqrt(2057)*2))**2) + (-5 + -6*2*sqrt(2057))**2)*3 + -3.\nAnswer: 4158*sqrt(17) + 882543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3 + 159*p + 1 - 3. Suppose x + 2 = 4. Is g(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*d - 1368, 0*b + 3*d + 2750 = 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259.1 + -264.1. Which is the third biggest value? (a) g (b) -2 (c) -7 (d) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54841 is divided by 7826?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 271138\/(-42)*3\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 6. Let j(w) = 6*w**2 + 3*w - 3. Let u be j(x). Is u + -3 + 1\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + c + 2 = 0, 4*c + 12 = 4*v + 4. Suppose v = z - 0*z - 165. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 1, q: 1, t: 1, a: 1}. What is prob of picking 1 k and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48960, 97971, 147090, 196377, 245892, 295695, 345846, 396405?\nAnswer: 447432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 + 17*i + 23. Let t(b) = 3*b**2 + 9*b + 11. Let y(f) = -2*p(f) + 5*t(f). Let c be y(-4). Which is smaller: c or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 26\nAnswer: 37\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 5, -4, 127?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5783345 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7323, 7322, 7325, 7332, 7343, 7358, 7377?\nAnswer: 7400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -13. Suppose 0 = -2*f - 3*a - y, -f + 32 = -3*a + 13. Solve -m = -2*v - 3*m, 0 = v + f*m + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)\/(v\/(v*v**(5\/3))*v*v))\/(v**(-1\/6)*v)**(-39) assuming v is positive.\nAnswer: v**(2111\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*r + 5*o, 0 = -3*r - 5*o - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 3*i**2 - 6*i + 1. Let l be v(4). Let f = 361 + l. List the prime factors of f.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2202202130 - -2?\nAnswer: -2202202125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 801?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209983013 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36177203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388 - -394. Suppose 5*b + 10 = 0, -7*h + 3*h + 5*b - 98 = 0. Let m = 31 + h. Solve -5*d = g + m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25326 = 45*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*n - 21, -2*p - 26 = -5*n - 10. Let f be (-27)\/2*(-4 + (-46)\/(-12)). Is f <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -924*f + 920*f - 59880000. Round f to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - a**2 - 4*a**2 - a**2 + 2*a**2 + a**2 + (24*a + 37*a - 25*a)*(6*a - 4*a - 4*a).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83533)\/618 - -135) + (-466)\/12.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 7, o: 9}. What is prob of sequence kk?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = m - 522, 2*m - 27 = -3*r + 999. Let k = -10\/379 - 24226\/1137. Find the common denominator of k and (3\/(-48))\/(27\/m).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 5*t. Let f(k) = -k**3 + 12*k**2 - 12*k + 10. Let l be f(11). Which is the nearest to l? (a) 3\/8 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 - g**4 + 3*g**4)*(2 + 5 - 4) - g**3 + 148*g**2 - 2*g**4 - 8*g - 152*g**2 + 0*g**3.\nAnswer: 4*g**4 - g**3 - 4*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2006 and -115\/826.\nAnswer: 14042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-21 + -3 + 10 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -57, -2\/19, -7\/6, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-16))\/(18\/(-72))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 881135357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -66. Let y = -4 + 9. Which is the nearest to h? (a) y (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -589, -560, -523?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 501146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67935244 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3557*b**2 - 15437*b**2 - 22 + 22 - 2885*b**2 as k + f*b + w*b**2 and give w.\nAnswer: -21879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbvn when four letters picked without replacement from {k: 3, n: 4, a: 4, v: 4, b: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 115 = -95 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -17.2 (b) -2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1224470996 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(42\/(-8)). Let z = -72 - -503\/7. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 35\/2 (b) -3 (c) -1\/4 (d) -1\/26 (e) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 6 = 5*t - 29*h, 15 = 5*t - 5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*d + 3*q, -d = -5*q - 0 + 6. Calculate the lowest common multiple of 70 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7992 and 569952.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 3*k + 3. Let f(w) be the third derivative of -w**5\/20 + w**4\/6 - w**3\/3 - 2*w**2 + 2*w + 3. What is -3*f(y) - 4*m(y)?\nAnswer: y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 58\/12 - (-37)\/222?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2049051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimm when four letters picked without replacement from iimim?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/457 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/1*((91 - -8) + -123)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3*k - 1204 = 0. Is 43 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 - 3*f - 5. What is y(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83227136?\nAnswer: 2, 162553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -54. Let v = 49 + u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -0.02 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - 0.29. Let f = 1.778 + s. Round f to 2 dps.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63811 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 655?\nAnswer: 655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -173 - -a9298?\nAnswer: a9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/12 - w**3\/2 + 3*w**2\/2 + w. Let n(o) = o - 6. Let f be n(3). What is d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -76. Let h = d - -35.4. Let q = 1.400104 - h. What is q rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -61*d + 5354. Let l(g) = -8*g + 669. Determine 46*l(w) - 6*t(w).\nAnswer: -2*w - 1350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 458 = 4*i, i + 86 - 196 = -m. Calculate the highest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - a = -57, -4*a + 2 = 4*f + 38. Let c(b) = 15*b + 27. Let h(j) = 7*j + 15. Let y(p) = f*h(p) + 6*c(p). Let m(t) = 38*t - 8. Give 3*m(d) - 8*y(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17813 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.601362s to hours.\nAnswer: 0.007667045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**3\/7 - 46*a**2\/7 + 38*a = 0 for a.\nAnswer: -7, 0, 19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:43 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10842818011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27\/2240 + -4349837\/20160. Suppose 0 = -0*n - 2*n + 432. Let k = j + n. Sort 5, k, 0.2.\nAnswer: 0.2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + -0.1. Let u = 4.3 - x. Let p be ((-1)\/5)\/((-9)\/15). Which is the nearest to 1? (a) u (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {f: 4, q: 6, n: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262470260 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/150 - m**5\/25 + m**4\/20 + 2*m**3\/15 - 2*m**2\/5 + m + 5. Let x(b) be the first derivative of u(b). Solve x(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*w**3 + w**2 - 885*w**3 + 1839*w**3 - w**2.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/15)\/(386255\/6918)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -3*(3 - 2). What is the third derivative of 6*l**3 - 13*l**3 + 7*l**3 - v*l**5 + 7*l**2 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6878 divided by -2\nAnswer: -3439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9890.6 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-28) + 11061\/63. What is the highest common divisor of n and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27)*2)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a27a (base 14) in base 16?\nAnswer: 10334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 462*l + 98. Let k(s) = 51*s + 11. Let p(d) = -3*h(d) + 28*k(d). Let f(t) = -t - 1. What is 14*f(a) + p(a)?\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + (130 - 150 - (-48 + 5)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and -21\/526?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/2 (c) -3 (d) 13.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 14*o**2 + 17*o + 10. Let x be f(15). Let c = x - 40. Suppose 0 = 4*s + 12, c*q + 1 = -4*q - 3*s. Solve -3*v + 10 = q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 5. Let z be l(4). Let d = -3 + 4. Let x = d + 1. Which is the nearest to 0? (a) 0.1 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 40. What is the smallest common multiple of f and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -6\/2033321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 4}. What is prob of sequence ve?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 594533*v**4 + 2317*v**2 + 2*v - 220?\nAnswer: 14268792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3 + 11 = 0. Let b be -3*(j + 1 + 0). Suppose -3*y + 999994 = 2*y + 3*f, b*y - 3*f = 600006. Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/560 and (16660\/10290)\/((-40)\/9)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 10547?\nAnswer: -10528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338413061, 338413059, 338413055, 338413049, 338413041, 338413031, 338413019?\nAnswer: 338413005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rspxsrxsrpsrrsrjrpr. Give prob of sequence rr.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**6\/45 - 7*a**5\/30 - a**4 - 20*a**3\/9 - 8*a**2\/3 + 83*a + 1. Factor h(o).\nAnswer: -2*(o + 1)*(o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.528739 years?\nAnswer: 0.07528739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - (4 + -14 + 1 + (27 - 3)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o**(2\/11)*o)**26 assuming o is positive.\nAnswer: o**(1196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1357, 2648, 3763, 4696, 5441, 5992, 6343, 6488?\n\"Answer: -i**3 - 82*i**2 + 1544*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413 + -66. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31388574479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k - 6*k**3 + 3 - 2*k**2 - 12*k + 5*k. Does 13 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 5*i**2 - 4*i**2)*(-4*i**3 - 5*i**3 - 2*i + i**3 - 3).\nAnswer: 16*i**5 + 4*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:15 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0*p - p + 0*p - 1 + 0. Suppose -2*j - 8 = -4*j - 4*g, 0 = 5*j - g - 9. Calculate the lowest common multiple of u(-3) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-1 + 0 + 0)*(-2*v + 0*v + 5*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6 - ((-16)\/6 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 45*p**2 + 8*p - 207. What is the thousands digit of d(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 36*x**3 - 126*x**2 + 60*x + 225.\nAnswer: -3*(x - 5)**2*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353512 is divided by 329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m - 10. Let k be i(7). Suppose -k + 145 = 4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2652 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n**4 + n + 5496*n**2 - 5499*n**2 + n**4 to the form c + u*n**3 + s*n**4 + q*n**2 + v*n and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6369, -7439, -10379, -16125, -25613, -39779?\nAnswer: -59559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9199, 12703, 16207, 19711, 23215, 26719?\n\"Answer: 3504*i + 5695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 21*n**2\/2 + 70989*n\/2 - 20286 = 0?\nAnswer: -3381, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*x + 3 + 2 = 0, -5*h + 5*x = -50. What is the second biggest value in -4, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43904\/17 - 168\/17*v**2 - 2\/17*v**3 - 4704\/17*v.\nAnswer: -2*(v + 28)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427064680 rounded to the nearest 1000000?\nAnswer: 427000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.079 + 36. Let v = u - -0.0865. Round v to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 - 64*d**2 + 112*d = 0.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 7*l - 6*h - 97 = -94*l + 122, 5*h - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154\/(-28)*(-1 + -11) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -403*g + 11. Let l(v) = -3. Determine 3*l(t) + q(t).\nAnswer: -403*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from tqgryttyrtttrqrgy.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(125) + -5 - sqrt(125)) + (-4 + sqrt(125) + 3*(sqrt(125) + -1 + sqrt(125)))**2.\nAnswer: -490*sqrt(5) + 6170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1645, -6199, -13789, -24415, -38077, -54775, -74509?\n\"Answer: -1518*n**2 - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y - 5. Let s be m(-4). Let c be (21\/(-6) + 4)*6. Suppose -s = -5*k + c. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**3 + 2*a**2 - 2*a + 6. Let w(h) = -8*h**3 - 2*h**2 + 2*h - 7. Let k(l) = 5*w(l) + 6*y(l). Is k(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9304 + -18296. What is o rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354 + 234. Let x = a - -119. Let w(l) = -4*l**3 - 5*l**2 + 5*l + 6. Let r(d) = -d**3 - d**2 + d + 1. Give x*w(o) + 5*r(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 66 + 29 + 2*r + 33 - 7*r + r**2. Calculate u(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 11. Let p(g) = -g**2 - g + 15. Let o be p(-5). Let q be c(o). What is the highest common factor of 72 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5743*s**2 + 591529*s + 26. Give f(-103).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*i - 16 = 0, 3*u = 2*i - 3*i + 12. Let g(x) = x - 3. Let n be g(3). Solve n = -u*y + 2 + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39126278 and 1364.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l - 1. Let t(u) = -2*u**3 + 8*u**2 - 13*u - 9. Let a(s) = -3*k(s) - t(s). What is the units digit of a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-2 - 6\/(-3)). Let s = 7 + o. Let f = s + -2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 282.59.\nAnswer: 281.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**2 + 3*o**2)*(o + 3 - 3) - 7*o**2 + 7*o**2 + 5*o**4 + (o**4 + o**4 - o**4)*(0 - 3 + 5).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 y when three letters picked without replacement from {y: 4, b: 2, q: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31b + 3?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/4))\/(t**(-6)*t))**(-15))**(-1\/4) assuming t is positive.\nAnswer: t**(375\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/14 + (-2 + 4 - -1). Let k = 14 + -13. Which is the nearest to k? (a) 10\/9 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 57. Let k(w) = 2*w - 54. Give 4*a(d) + 3*k(d).\nAnswer: 2*d + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 1, o: 2, b: 1, s: 1}. Give prob of sequence sshs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -42*b**2 + 124*b + 4. Let c be p(3). Is -20 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 15686 + 46514. What is g rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.74, 4, -0.2, 1 in ascending order.\nAnswer: -1.74, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14256 or 473?\nAnswer: -14256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 1321*l**6\/120 + 2087*l**3\/6 - 848*l**2 - 1. Differentiate d(w) with respect to w.\nAnswer: 3963*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose x - l*z - 2 - 7 = 0, 0 = -x + 2*z. Is 3 a factor of (-2 - 0)*9\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n**(3\/5)*(n**(2\/11)*n*n)\/n**(1\/8) assuming n is positive.\nAnswer: n**(1609\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o + 1. Let j(p) = -14*p - 6. Let c(g) = 4*g. Let n(y) = -8*c(y) + j(y). Determine 2*n(m) + 11*x(m).\nAnswer: 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f**3 + 0*f - 2 + 1\/60*f**5 + 0*f**4 - 9*f**2. Let x(n) = -369*n**2. Calculate x(w(h)).\nAnswer: -369*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -565*m - 12993. Give p(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100974807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1400178384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - l**2 + 3*l**3 - 11 - 19 to the form w*l**3 + k*l + b*l**2 + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/83, -2, 0, -0.2, 2, 28\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -20*g**3 + 174*g**2 - 28*g + 99. Determine d(9).\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26748908 to the nearest integer?\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/78)\/((-49)\/(-28)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14974759 to the power of 1\/2, to the nearest integer?\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.4 - 5046348?\nAnswer: -5046271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(150) + sqrt(150) + sqrt(6) - sqrt(6))\/(sqrt(98)*-2)*5)**2.\nAnswer: -150*sqrt(3)\/7 + 2316\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 20*k + 3. Let z(g) = 8*g**2 + 107*g - 162. What is 6*x(a) + z(a)?\nAnswer: 2*a**2 - 13*a - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 64 = -74. Calculate the greatest common factor of 46 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-8)\/(-12)*(-6)\/(-8). Solve -k*l = 4*t - 27, -t - 4*t = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/2 + 2*m**2 + 32*m + 2. Calculate y(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, q: 2, d: 3, p: 7, g: 1}. Give prob of picking 1 g, 1 k, 1 p, and 1 d.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 8118\/23. Sort -2, y, -16 in descending order.\nAnswer: y, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 104\/(-36))*1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*g**3 - 7272*g**2 + 14532*g**2 + 310*g**3 - 7260*g**2.\nAnswer: 426*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154199355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 4*f - 5. Let r be j(4). Let o(q) be the first derivative of q**3\/3 + 3*q**2\/2 - 2*q - 1721. Calculate o(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1127*k**2 + 323*k**3 - 284*k**2 - 282*k**2 - 280*k**2 - 281*k**2.\nAnswer: 323*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = c + 7, -3*c = -m + 5*m - 31. Find the third derivative of -67*b**2 + b**m + 142*b**2 - b**4 - 63*b**6 wrt b.\nAnswer: -7560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/180 and 149\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -6872 and -6869 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 24, 58, 112, 192, 304?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 31. Suppose 4*c - c - a = 1, 5*c - 4*a = -m. Suppose -2*z + 5 = 5*j, 2*j = c*z + 7 + 9. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17073370 is divided by 1219524?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + 2*d + 208. Is z(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*x + 8)*(-3*x + x + x) + 2*x**2 - 3*x**2 + 3*x**2 + (3 - 2 - 2)*(3*x**2 - 3*x**2 + x**2) + (-1 - 3*x + 1)*(3 - 3 - 2*x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 1311 - 10269 = 0. What are the prime factors of g?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) - (680302\/(-378))\/(8\/24). Factor 2\/9*m**5 - 15842\/9 - 362\/9*m**4 - t*m**2 + 47882\/9*m + 16916\/9*m**3.\nAnswer: 2*(m - 89)**2*(m - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21166059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*g - 2*a**4 + 251*a**3*g + 275*a**3 - a**2*g - 1481526*a*g + g wrt a?\nAnswer: 48*a*g - 48*a + 1506*g + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1 + (0 - 2))*13. Let j = -6 - x. Put 3, -1, j, -3 in descending order.\nAnswer: j, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 17*q**2 + 22*q**2 + 0*q + 12*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 + 0 = 0, u + 4*p = 254. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 + -403. Find the third derivative of 31*w**2 + 11*w**4 + 19*w**2 - w + 3*w - 24*w**3 - 9*w**4 - b*w**2 wrt w.\nAnswer: 48*w - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 160*s + 343*s - 182*s - 3 = -2, k = -3*s + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309942 is divided by 1949?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/312 and 115\/1272.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/60 + f**4\/24 - 9*f**2. Find the second derivative of d(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 1343, 2034, 2725?\nAnswer: 3416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from bbbbbbybbbbyybbbby?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 23. Let i = -0.9 - -5.9. Put i, 0, j in descending order.\nAnswer: i, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 8*k - 8. Suppose -5*w = 53 - 23. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eieneeiiiiiniiie?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:06 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1.7 (b) 3 (c) -22 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-11))\/(-6 - 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.195869 rounded to 1 decimal place?\nAnswer: -34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37922.\nAnswer: 2, 67, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 8. Let j(w) = w**2 + 3*w. Let t be j(-3). Suppose -5*r + 8 + 7 = t. Do p and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18374.347 rounded to the nearest integer?\nAnswer: -18374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 40 + 130. Let y = 70 + k. Solve -l - 4*l = -y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o = -52. Suppose 3*d - o + 4 = 0, 2*u + 4*d + 114 = 0. Let r = -42 - u. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*r + 351*r + 2472 = 266*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + (8 - 19) - (-7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 - 2*v**4 + 2*v**4 + (-5*v**4 + 4*v**4 + 3*v**4)*(2 + 0 + 0) - 1159*v**4 + 1854*v**4 + 843*v**4 as z*v**3 + l*v + i + r*v**2 + s*v**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19430252*o + 14092050?\nAnswer: -19430252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + 2 - -1. Let t(d) = 38*d**2 + 35*d + 72. Let g be t(-2). Let x = 158 - g. Solve 3*q = x*m + 4, -q - o*m = q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 6 = -9*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 27. Let y = p - 8. Suppose -82 = -y*h - 13. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z - 3*z. Let f = 0.45 + 0.05. Which is the biggest value? (a) z (b) f (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 84*p**2 + 86*p - 24229. Give c(-79).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, 3, 21, -6, -10 in ascending order.\nAnswer: -10, -6, 1, 3, 21, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*b = -12, -3*c - 7*b - 162 = 9*b - 13*b for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -13*n**4\/4 + 69*n**2\/2 + 1868*n + 273. Find the first derivative of b(j) wrt j.\nAnswer: -39*j**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o - 13. Let i(n) = n**2 + n + 4. Calculate the lowest common multiple of i(0) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1047 * -9\nAnswer: -9423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18215 divided by -2.\nAnswer: -18215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(32))\/((sqrt(96)\/sqrt(2))\/sqrt(12)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -1 = -v + g. Suppose 3*h - 28 = -r, 2*h - 28 = -4*r + v*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-384))\/(18\/1188)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -68*c**7\/35 - 7*c**3\/6 - 64*c**2. What is the first derivative of y(g) wrt g?\nAnswer: -1632*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(132)\/(sqrt(48)*1 + sqrt(48)) + (sqrt(11) + 1 + -1 + sqrt(11) - 5*(1 + sqrt(11))) + 2)**2.\nAnswer: 55*sqrt(11)\/2 + 1731\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(5) + -5) + 4)**2.\nAnswer: -336*sqrt(5) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 23\/46 + (7\/(-16) - -1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 278487560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - y - 40*y**2 + 2 - 13 - 2*y**4 + 2 + 5*y to s*y**3 + v*y**2 + h + i*y**4 + t*y and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Suppose -q*s - 5*o = -7 - 3, 2*s - 7 = -o. Suppose -s*p + 4*r + 372 = -p, -2*p + 3*r + 190 = 0. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*f + f - 78 = 0, -3*c = 3*f + 81. Let i be (8\/12)\/(4\/c). Let k = 0 - i. Let l(g) = -g**2 + 4*g + 7. Determine l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 123. Let o(l) = 7*l**3 + 5*l**2 + 3*l - 4. Let j(m) be the first derivative of 2 + 3*m - m**2 - 4\/3*m**3 - 3\/2*m**4. Give s*j(i) + 3*o(i).\nAnswer: -3*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91981 and 313?\nAnswer: 28790053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(1\/((-12)\/1)*-24).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -43. What is the units digit of d\/(-15) - (-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/1178081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:17 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let y be t(-1). Let q = 43 - 41. Sort q, y, -2 in decreasing order.\nAnswer: q, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 689*h - 16600.\nAnswer: -(h - 664)*(h - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 + 6*z + 2. Let i be s(3). Suppose i*a + 7*v - 52 = 2*v, a + v = 23. Calculate the greatest common factor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = -2*h - 133, -h = -5*x + 538. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(32))*-3 + ((sqrt(32) + -2*sqrt(32) + 5)**2 - sqrt(32)).\nAnswer: -56*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (4 - (0 + 2)). Suppose 0*c = n*c - 8. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277340 divided by 39620?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 1308 + 639 = -649 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768541533 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -29, -5, 39, 109, 211?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 10180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/175 - -2059\/175. Suppose -2*t = -4*j + 8, t - 7660 = -2*j - 7620. Do n and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15951529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 2*w**3 + 2*w - 6*w + 4*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 8*z + 2*t - 46, 2*z = 4*t + 8. What is the remainder when (-6)\/(-4)*49*4\/3 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 336127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142)\/72 - -2 - (-1)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*t**2 + 865*t**2 + 889*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 536562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18670)\/(-13) - (-214)\/(-1391)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*h + 31. Suppose 0 = -h*s - 4*d + 2486, -s - 3*d = 101 - 607. What is s rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:36 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869 = -130*s + 3859 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1234 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18165623027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -190. Suppose 5*p + v*f + f = 31010, p = 2*f + 6187. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-1 - (-33)\/(6 + -3)). Solve -5*l - h = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010111 (base 2) to base 13\nAnswer: -43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 19*g**2 + 15*g - 22. What is i(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 1) + 4 - 1705\/992 and -23\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*s = -400, -40*q + 5*s = -37*q - 300. Calculate the greatest common factor of 240 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84871?\nAnswer: 84871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - (1 + -6) - (-80 - -87)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 498007 divided by 498007?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sffffhhheeedhd. What is prob of picking 2 d, 1 h, and 1 e?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z**2 - 3*z + 3. Determine o(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affffxaffxnffnffxaa. Give prob of sequence afna.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-95))\/(-1*(-3)\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -851 - -858. Solve -c = -x*c + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x + 168 - 168 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -157*k - 13. Let q(p) = 39*p + 3. Give -9*q(z) - 2*s(z).\nAnswer: -37*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 11 + 4*c**2 - 4)*(-86*c**2 + 86*c**2 + 17*c**3).\nAnswer: 34*c**5 + 119*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 8. Let x be d(3). Solve -x*b + 8 = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 18*a - 222. Give y(19).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/(-104))\/((-21)\/(-6)). Which is the fourth smallest value? (a) 22 (b) t (c) -0.5 (d) 5\/4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/30 + 4*z**5\/5 - 7*z**4\/2 + 20*z**3\/3 + 37*z**2. Find o, given that w(o) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**2 - 3*b**2 + 1 - 1 - 3*b**2 + (-b + 4*b + 0*b)*(4 - 4 + 3*b) + (-2 + 2 + b)*(4*b - b - b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3\/(-2))\/(36\/(-5136)))\/2. Differentiate p*h - 107*h + 47*h**2 - 3 wrt h.\nAnswer: 94*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.339 and 248?\nAnswer: 4548.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10845 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815759 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 5. Give v(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i**20 assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + (sqrt(320)\/sqrt(200))\/(sqrt(60)\/(-2*sqrt(12))))*-4)**2.\nAnswer: 608*sqrt(2)\/5 + 9537\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 197\nAnswer: -5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-36) + (-6)\/27. Let j = 40 - 41. What is the third biggest value in 0.4, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 939 - 556. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -20 + 407. Let c = z + 49. Let l be ((-9)\/(-15))\/((-1)\/(-5)). Solve 2*n = 2*d, 0*d + l*d = 5*n + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 - k**3\/3 - k**2\/2 - 3*k - 41. Let r be z(-2). Solve -3*i = r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.70897 millennia in decades?\nAnswer: 7770.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25516 is divided by 23805.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5168 (base 10) to base 8.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 6428840004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015077 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10 + -505*(9 + -11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45669197 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*m - 591203 = 159766 + 174758. What are the prime factors of m?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*b - 80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/7 + 21*z**2 - 6696*z\/7 + 88412\/7 = 0 for z.\nAnswer: 23, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 2. Let r(l) = 226*l**2 - 3*l - 5. What is r(o) + 3*z(o)?\nAnswer: 226*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2114 and 4530.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - 4*i + 3. Let z be f(-5). Let q be (6\/z)\/((-3)\/4). Suppose -3*s + s + q = 0. Solve s*v = -3*y, 3*y = -5*v - 11 + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 8913.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1120 bigger than -1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-15)*36\/(-10). Suppose -h*m + 10*m + 30 = 0. What is the greatest common factor of 105 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17015 - 16996. Let i(d) = -47*d + 899. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9100.792kg?\nAnswer: 9100792000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -113460400?\nAnswer: 113460365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014475 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5\/46, -3, 5 in increasing order.\nAnswer: -4, -3, 5\/46, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-39))\/(-6*(-12)\/(-270))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47110550 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 164 (c) 5 (d) 7812 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.3537 years to months.\nAnswer: 328.2444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 27 = -4*f - 7, 2*y + 2*f - 10 = 0. Let c = 17 + y. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 6*q + 19. Suppose -a + 20*k - 17*k + 24 = 0, a - 5*k = 40. What is i(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 22 - 8 - 3*x - 15. Suppose -4*h = m - 19, 2*h = 3*m + 6*h - 17. What is the lowest common multiple of p(m) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 7. Let q be t(3). Let y be 15\/1 + 18\/(-3). Suppose 0 = y*c + 3 - 21. Solve -c*n + 3*m = -q, 3*m = -m - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -140*g + 940. Calculate i(8).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 174187*i**3 + 64 + 3*i**4 + 174187*i**3 to the form t*i**2 + n*i**3 + x*i + r*i**4 + h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 7*q**5\/120 - 5*q**4\/24 + 11*q**3\/6 - 11*q. Let r(b) be the second derivative of g(b). Differentiate r(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2787*s + 1200 - 3597 + 1194 + 1201)*(1 - 1 + 4*s**2).\nAnswer: 11148*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36325*b**2*l + 295312*b**2 + 2*l wrt l?\nAnswer: 36325*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-7.7\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -205, 25.292, 0, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19595652, -19595649, -19595646, -19595643?\nAnswer: -19595640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.1156.\nAnswer: -2.8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1100) - -1*sqrt(1100)) + 5) - ((sqrt(1100) + -4 + 1*sqrt(1100))**2 - ((sqrt(1100) - (sqrt(1100)*-2 + -3)) + sqrt(1100))))*4.\nAnswer: -17592 + 1040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -5951975587?\nAnswer: 5951975585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -1\/10 (c) 6 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -2 (c) 767 (d) -0.4 (e) -0.02 (f) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 1:58 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f - 0. Suppose 11*r + f = 12*r. Solve 3*j = r*a + 13, -5*j + 11 - 2 = -2*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-8) + -4 + 0. Solve -j = -c - 7, d*c = -5*j + c + 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12380909539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34186?\nAnswer: 2, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -485 divided by 6?\nAnswer: -485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/300 and -89\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -571*z - 120. Let k be a(-10). Let f = k + -3881. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1091664 divided by 57456.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 36*b**2 + 12*b + 800. Calculate u(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (615 - 620) + (2 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-7350))\/((-2)\/(-8)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 12. Let g be 2*-1 - (c + 4). Solve 2*l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - 1. Let z = -3 - l. Suppose -40 = 4*y - 2*j - 14, -3*y + 5*j = 37. Which is the biggest value? (a) y (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 15*j**2 + 167*j + 105. What are the prime factors of d(30)?\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6 - -10))\/(7*(-4)\/420)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142aabc (base 14) to base 13.\nAnswer: -2048a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a + 8. Let m be z(-7). Let t be (-2)\/(-3) + m\/3. List the prime factors of (-6)\/(-4) + 495\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 8. Let t(z) = z**3 - 6*z**2 + z - 6. Let j be t(6). Suppose j = -0*p + p - m. Calculate the greatest common factor of p and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 26, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3583.58 - 3582.750127. Let g = n - 0.83. Round g to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {h: 1, i: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37529*j + 37386*j - 1001 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + g - 6, -23*g + 27*g - 24 = 0. Let p(i) be the first derivative of 0*i**3 + n*i**2 + 1\/2*i**4 - 19*i - 33. Differentiate p(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 54*j + 56. Let z be s(26). Solve -2*m + 3 = -3*l, m = 4*l + 5*m + z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - i + 7. Let k(y) = -y**2 - 3. Let q(b) = 2*g(b) + 5*k(b). Let w be q(3). Find m, given that -1\/4*m**w + 1\/4 + 0*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1312\/57199?\nAnswer: 1312\/57199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 18. Suppose 4*g - k = 58. Let a(f) = -f**2 + 28*f - 88. Let t be a(24). Calculate the highest common divisor of g and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 17635*z - 17630.\nAnswer: -5*(z - 3526)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 6*p**2 + p**2 - 5 - 5*p + 0*p - 6*p. Is i(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-2)*32\/(1024\/(-240)). What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/2)*b)\/b)**9 assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**5\/30 + 2*x**2. Let f(l) = l**2. Determine a(f(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 20 - 19)*(2*s - 23*s - 2*s)*(1 - 1 - 2*s)*(0*s**2 + 0*s**2 - s**3).\nAnswer: 1242*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -1515, -7\/3, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 24*f**2 + 47*f - 125. Let u be y(-26). Which is the closest to -0.0516? (a) 1\/6 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, 0.09, -10, -51, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*j = -104, 4*n = -0*j - 5*j + 98. Let w = -11 + 18. Calculate the remainder when n is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7775621.36 - 2022\nAnswer: -7777643.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -467\/6, -0.4, -1\/7, 1\/4 in descending order.\nAnswer: 1\/4, -1\/7, -0.4, -467\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/13 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126994712 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 156\/(-336) + (-3)\/(-4). Sort h, 0, 1.\nAnswer: 0, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60480 or 0.03?\nAnswer: -60480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8658 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83647963 to the nearest integer?\nAnswer: 9146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 + 10 = -4*n - 138*s - 76*s, -n = n + 4*s + 32 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 13*v**2 - 13*v + 190. Determine k(11).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6) - (-4)\/(-12). Suppose -j*l - 28 = -164. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-33 + 59 + -16) - (0 - (-11 + 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(4)*-2))**2 - (2 + sqrt(48))**2.\nAnswer: -205\/4 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nholv. Give prob of sequence hln.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/7? (a) -332 (b) 1\/6 (c) 1\/309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45103997.78157 + 45104231. Let u = o + -233.01. Let j = 0.207 - u. What is j rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1\/3, -4\/9, -0.7328.\nAnswer: -0.7328, -4\/9, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*g**2 + 3 + 979*g**2 + 338*g**2 to l*g**2 + v*g + i and give l.\nAnswer: 1579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001101 (base 2) in base 16?\nAnswer: 98d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5928?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970872.\nAnswer: 2, 3, 7, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 55 = -20*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45752872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-35) + (-218)\/14. Let y be 8\/m*(-792)\/(-2). Let x be (-48)\/y*9\/12. Put 2\/149, x, 3 in decreasing order.\nAnswer: 3, x, 2\/149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40072, -40054, -40036, -40018?\n\"Answer: 18*k - 40090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2205, 5419, 9647, 14883, 21121?\n\"Answer: -d**3 + 513*d**2 + 1682*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152160506*v - 317344374 wrt v.\nAnswer: -152160506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pimuumcqqiic. Give prob of picking 1 p, 1 u, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248 + 252. Suppose 0 = w - k + 5, 3*w - 1 - d = -2*k. Let b be (2\/(-5))\/((-1)\/5). Put -0.8, b, w in increasing order.\nAnswer: w, -0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236754.\nAnswer: 2, 13, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*g + 4*r, 5*g - 2 = -r + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f - 1. Let w(s) = 32*s + 24*s - 146*s + 26*s + 80*s. Determine d(w(x)).\nAnswer: -144*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a**(-2\/19))\/(a**(-7)*a\/(a\/a**3)) assuming a is positive.\nAnswer: a**(154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 22. Let b(i) = i**3 - i**2 - 2*i - 1. Let z be b(3). Suppose -3*l + t*n = 18, -l + 5*n - z = -5*l. Is -2 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*c + 5*c**2 - 8*c**2 + 5*c**2 - c**2.\nAnswer: c**2 - 111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 230630*h + 461260. Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 68810812.\nAnswer: 13762162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crlc when four letters picked without replacement from {h: 11, c: 4, l: 3, r: 1}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 882 = -0*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31759 = 31772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 114830921 to the power of 1\/2, to the nearest integer?\nAnswer: 10716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 4138. Let j(x) = 6*x. What is p(j(y))?\nAnswer: 36*y**2 + 4138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -2 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -9, 2\/9, 0.3, -3, 3592, -0.15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14946.000006149 + 14946. What is l rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 9. Let z be g(3). Let c be (z + 1\/(-15))*(0 - -3). Is c equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*4*(2*sqrt(144))\/sqrt(3))*-5.\nAnswer: -25 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2761965 divided by -2495.\nAnswer: -1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 52. Let q(g) = -39*g - 182. Let b(n) = 3*l(n) + q(n). What is b(-3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/8 - 33*o\/8 + 95\/4.\nAnswer: -(o - 5)*(o + 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - p**2 + 1. Let k be n(2). Suppose -k*m - 13 = -33. Let y = -1631 - -1645. Calculate the remainder when y is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*t - 17360 = -114*t + 1486 - 2718 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 7*q**5\/330 + 25*q**4\/33 + 28*q**3\/33 + 19*q**2\/2 - 81*q + 2. Let i(k) be the first derivative of s(k). Factor i(o).\nAnswer: 2*(o + 14)*(7*o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 10*c - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 35. Let d be i(8). What is the second derivative of -24*t**3 + 24*t**3 - 3*t**2 - 51*t - 3*t**d + 0*t**2 wrt t?\nAnswer: -60*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 32 = 3*v + 3*f, -v + 9 = -3*f. What is the smallest value in 1.46, v, -4, 8\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31386 is divided by 1034?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(448)*-3 - 5*(sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + -2)))) + -5)**2.\nAnswer: 2080*sqrt(7) + 75812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.35857489*0.02\nAnswer: 0.0071714978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 50 = -35*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 8. Let b be 1*4*(2 + -1). Let f be 1 - (b - (-2 - -5)). Determine p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.611681376 rounded to three decimal places?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31418 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-23)\/w)\/w)\/w**24)\/((w*w**7)\/(w\/w**(-9)*w)) assuming w is positive.\nAnswer: w**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-38)*-4*(-19)\/(-19)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191369830?\nAnswer: 2, 5, 1787, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 - 30*n + 347. What is c(6)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 555527 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 145. Suppose -m = 5*u + 87. Is 11 a factor of (6\/u*-5)\/(2\/156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-11\/4)*a\/(a*a*(a*a\/a**(2\/17)*a*a)\/a))\/(a*a\/a**(-5\/6))**(-33) assuming a is positive.\nAnswer: a**(5975\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 3, a: 1}. What is prob of picking 1 w and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 - l. Suppose 2*g + g - 1 = 4*h, 0 = 4*h - 5*g + 7. Let w(v) = -4 + v**2 - 3*v**h + 4. Determine y(w(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 18*r - 23*r + 5, k - 2*r = -5. Calculate the remainder when 13 + 228 - (-6 + 2)*k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3697.\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*h + 10 = 0, -5*u + h + 0*h - 25 = 0. Let a = 179 - -221. Let k = 404 - a. Put -1, k, u, -2\/15 in ascending order.\nAnswer: u, -1, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from fffffffffffffffaaff.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79449406.\nAnswer: 2, 23, 1727161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5158005 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 601030?\nAnswer: 601030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -91.6 and 0.3?\nAnswer: -27.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 90, 2, 18, 0 in descending order.\nAnswer: 90, 18, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030485 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2112*f**2. Let u(t) = -2*t. Determine b(u(r)).\nAnswer: -8448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/80)\/((-48)\/30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 56 = h + 5*u, 2*u + 36 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/65 - (-61122187)\/481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/2 + 2*h**3 - 3*h**2 - 8. Let c be 20\/12*3 + 2. Let l(w) = 2*w**3 - 7*w**2 + 7*w. What is c*u(y) + 6*l(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - 58\/(-5). Let h = v - -5. Suppose -4*b = 5*c - 24, 0*c + 5*c - h = 3*b. Put 0, b, -1 in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)*p**(-12)*(p**(-1\/12))**(19\/4) assuming p is positive.\nAnswer: p**(-1843\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*z + 150*z + 1671 + 3833 + 3473 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2069, 9, 12 in increasing order.\nAnswer: 9, 12, 2069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + w**3 - 3*w**2 + 635*w - 654*w to p*w**3 + i + u*w**2 + g*w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/359050647?\nAnswer: -2\/359050647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 18*s**2 - 10*s - 915. Determine p(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o - 21. Let a be j(-9). Solve -5*w - a = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/128 - 35\/3024?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 22370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 8 - 13 - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 13. Calculate the remainder when 79 is divided by q(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*g + 6, -3*o - 2*g + 0 = 2. Let c(v) = 11 - v**o - 2 + v - 1. Suppose 0 = -36*s + 35*s. What is c(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -3664719122.\nAnswer: -3664719131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296538 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15234)\/18 + 6)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9642 + 1.0363. Let w = -4 + d. Round w to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9499057 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610 is divided by 415.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - 57 - 17*i**2 + (3 + 2 - 6)*(-6*i + 135 - 135)*(-i + 0*i + 0*i) in the form w + p*i**2 + s*i and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -727 + 730. Factor -2 - 9\/2*w**g - 8*w - 21\/2*w**2.\nAnswer: -(w + 1)*(3*w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 586*v**3 + 9370*v**2 - 21192*v + 216.\nAnswer: 2*(v - 2)*(v + 18)*(293*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.76 - 35.751. Is -2\/9 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpgxxxxxmlxlhx. What is prob of picking 1 x, 1 m, and 1 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let q be 896\/8*1\/t. Calculate the highest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 871*s**2. Let d(b) = -4*b**2. Determine d(j(r)).\nAnswer: -3034564*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -335 (b) 0.05 (c) -0.06 (d) 0.3 (e) -0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19814170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66973773*s**2*t - 52*s**2 - 5*s + 1250 wrt t?\nAnswer: 66973773*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 5581*u**3\/2 - 30635*u**2.\nAnswer: -u**2*(u - 5570)*(u - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times 6?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**2\/7 - 679485*t\/7 - 3397500\/7 = 0?\nAnswer: -5, 226500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187)*1 + sqrt(187) - sqrt(187)))\/sqrt(11) - sqrt(17)) + -2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sueupwe. Give prob of sequence pus.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*v*z**3 + 2*r*v*z**2 - 2*r*v*z - 2*r*z**3 - v*z**3 + v*z - 2*v + 24052*z**3 - 146*z**2 wrt z?\nAnswer: 12*r*v - 12*r - 6*v + 144312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 31. Let h be d(-18). Let o = -53 + h. Let x be (-13)\/((-156)\/152)*o\/4. Solve -5*m - 4*n + 5*n = -x, 4*m - 4*n = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85700009?\nAnswer: 17, 179, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 373104.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30908 + 54382 = -849*l - 1308 for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.2. Let y = 1.055 - -0.145. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -55235*d. Let l(i) = -2*i. Calculate l(m(j)).\nAnswer: 110470*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34*f**3 - 3*f**2 + 3. Let o(w) = -33*w**3 + 42*w**2 + 2. Let c(x) = -32*x**3 + 65*x**2 + 1. Let k(z) = 2*c(z) - 3*o(z). Calculate 3*k(t) + 4*m(t).\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 90, 66, 26, -36, -126, -250?\n\"Answer: -a**3 + a**2 - 10*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d + 55416 + 888150. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:37 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204864 and 8481.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/4*(1 + 81\/(-85)). Let t = 4.08 - 0.08. Let w = 4.4 - t. Which is the biggest value? (a) -3 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2859, 2811, 2765, 2721?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 39, 97, 219, 429?\n\"Answer: 4*f**3 - 4*f**2 + 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -2*u + 9*u. Let o(k) = k**2 - 2*k - 15. Is o(u) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + 2*s**3 - 4*s**3 + (-3*s + 2*s + 2*s)*(8*s**2 + 13*s**2 - 4*s**2) in the form h*s + x*s**2 + c*s**3 + q and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 33*r - 23. Let x(f) = 2*f**2 + 22*f + 15. Let g(i) = 5*m(i) + 7*x(i). Is g(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325362 plus -899473?\nAnswer: 425889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0792149 bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-48 - -32)) + -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1 + 0 + -1). Suppose -2*f + k = 3*f. Which is the nearest to 0? (a) f (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1262154 by 355.\nAnswer: 1262154\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r - 274. Let t be u(-16). Let o = t - -542. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471579, 943148, 1414717, 1886286?\nAnswer: 2357855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s + 2*s. Suppose -6 + s = 3*c. List the prime factors of 23\/2 + c\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:06 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*l = 1411*l - 20457 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1110101011010 (base 2) to base 9\nAnswer: -11268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2767 and 3631236479?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -623, -758, -893?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from ggbmmgxbgbgoocg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -43. Suppose 4*y = 45 - d. Does 17 divide (1 + -7)\/(y\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**2 + 6*s**2 - 12*s**2 - 9*s**3 + 9*s**2 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t - 4. Let g be w(-9). Suppose -g*x + 26 = 1. Solve x*h = -b + 2*b - 18, -2*b = -3*h - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*s + 1437 = 341, 2*s + 4 = 0. Is 68 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2*n - 2 + 6 + (2 + 1 + 0)*(861 + 321*n - 861).\nAnswer: 965*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 5, q: 4, m: 1, w: 1}. What is prob of picking 1 w and 3 q?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*n = -8, -t - t = -4*n + 6. Let q = 0.1 - -0.1. Which is the closest to q? (a) 2 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - -14 - ((6 - 9) + 10). Put 1, 0, v, 386 in decreasing order.\nAnswer: 386, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 2.2. Let t = 0.1 + -0.1. Let m = t + 1. Which is the nearest to -0.1? (a) y (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 5*q. Determine g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - x + 73. Suppose 4*v = 3 + 1, -3*k + 2*v - 2 = 0. Let s be h(k). Let b = -69 + s. Solve 0 = 4*y + b*t + 12, 2 = 3*t + 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88878*r**3 - 6*r + 10*r - 4*r.\nAnswer: 88878*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80093536 to the nearest integer?\nAnswer: 8949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Let c be (12\/8)\/((-2)\/4). Let x(n) = -9*n + 6. Let y(j) = 5*j - 3. Let k(d) = c*x(d) - 5*y(d). Give k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 10*v - 17. Let s be z(0). Is 7 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12086, 24172, 36258, 48344, 60430?\nAnswer: 72516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4980 - 4979.8. Let k be 0 - (-2)\/14*1. Let a = -2.06 - -0.06. Sort a, k, n in descending order.\nAnswer: n, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-4)\/30)\/(12\/(-9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 66?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (10 - 13) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 154. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 5*c = -5*t + 97, -5*c = -3*t + 47 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4\/13 (b) 3 (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370983.\nAnswer: 19, 59, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:20 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 + -478 + -3 + -24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 50, 79, 108, 137, 166?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 2. Let r(w) = -w**2 - 3*w - 2. Let h be r(-2). Suppose h*t - 5 = -5*t. Let o be (-2 + t)*2 + 0. Give a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -162, -155, -146?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n + 2. Let c(l) = 7*l + 1 + 0 + 1 + 4*l**2 + 5. Let j(r) = 4*c(r) - 14*f(r). Let t(x) = 3*x**2. Give t(j(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110213232 (base 4) in base 12?\nAnswer: -40a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*r + 98 - 98 in the form v*r + z and give v.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27790150 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = 19*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/160 and 87\/1520.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757489 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -275\/3. Sort q, -5, -4 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-16))\/(-5))\/(2\/7)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -661 + 669. Suppose 8*z - 32 = 4*z. Calculate the highest common factor of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s + 3*k - 1, 4*s - 2*k = 34. Suppose 1055 = s*t - 716. List the prime factors of t.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446781 is divided by 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/523429803 and 157\/270.\nAnswer: 5234298030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 8*b**2 + 218*b + 1118. What is l(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11073, -22144, -33215, -44286, -55357?\n\"Answer: -11071*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 6*f. Let v be n(-7). Suppose 22 = -3*t + 5*s + 3, t = -s + v. Let u(y) = -2*y - 1 + 4*y**t + y**2 + 3*y. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -51*n. Let b(o) = -4*o. Let h(s) = -s. Let w(y) = -b(y) + 3*h(y). Calculate w(j(a)).\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 21) + 110 + -26?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5643 - 5637. Let l = -2 - -1.8. Sort 4\/3, u, l in descending order.\nAnswer: u, 4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7, b: 2, d: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.10293341 to one decimal place.\nAnswer: -93.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1584 + -0.3.\nAnswer: 1583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2291*s - 357401. Determine i(-156).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.606509mm?\nAnswer: 0.2606509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3 - 2. Let f(c) = 2*c**2 - 2*c + 3. Let t be f(r). Suppose -4*i - 92 = -k - t*i, -k = 3*i - 104. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/48 and 13\/36144.\nAnswer: 36144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -273, -218 in increasing order.\nAnswer: -273, -218, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1480*f**3 - 2 + 2*f**2 - 490*f**3 - 491*f**3 - 67*f**4 - 498*f**3 in the form m + k*f**2 + y*f + z*f**3 + g*f**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**4 + x**3 - x - 1. Let c(i) = -2*i**2 + 0*i**4 + 1 + 3*i**2 + i - i**4 - i**3. Let d(z) = c(z) + y(z). Find the third derivative of d(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10930*0.09\nAnswer: -983.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -67?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 = -11, 4*f = -4*z + 8260. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.96001171 + 7.96. Round s to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 0. Let x be 4\/6*(-78)\/13. Let i = x - n. Calculate the remainder when 11 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*6 + 7. Suppose -t*v - 6 = h + h, -5*v - 5*h - 20 = 0. Let y(l) = v - 6 - l - 6. Give y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - 3*r)*(0 + 0 - 1).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, h: 7, u: 4}. Give prob of picking 2 u and 1 e.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3858337 and -3858337 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.79 plus -0.07?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, d: 7}. What is prob of sequence dd?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/70 - 33*2\/(-14). Suppose -3*q - 2*q + 5*w + 80 = 0, w - 50 = -v*q. Calculate the lowest common multiple of 9 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 - 2*f. Let k(x) = 154*x**2 - 63*x. Give -2*k(s) + 63*t(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6411 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*l + 6, 2*m + m + 6 = -5*l. Solve 0 = -3*r - l*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3 - -2) + 1. Suppose -2*u = -0*u - 2*i - 6, -2*u - f = 5*i. Solve -u*p + 0 - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3424511457 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29503, -29611, -29791, -30043?\nAnswer: -30367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -988888 * -5.\nAnswer: 4944440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 - 33 + 9*s**2 + s**3 + s + 0*s**2 + 51. Let i be x(-15). What is the derivative of 7*m**i - 14*m**3 - 11 + 5*m**3 wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r**2. Let m(f) be the first derivative of -f**2 - 28*f + 468. Determine m(h(p)).\nAnswer: -30*p**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. What is the units digit of y + 10\/(-5) - (-86 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225.47579 * 0.5\nAnswer: -112.737895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6\/(-2) - 18\/12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693108 is divided by 2960.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 320960632763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 5737. Let h(v) = -953*v. Give d(h(z)).\nAnswer: -1816418*z**2 - 5737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1248 = -0*r + 2*r. Factor -45*y**5 - 83*y**5 - 436*y**3 + r*y**2 + 28*y**5 - 273*y**4 - 247*y**4 - 144*y.\nAnswer: -4*y*(y + 3)**2*(5*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 4*f + 19 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:58 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/6*(-128)\/6. Let w = 13424 - 13516. Let c = s + w. Solve y = -0*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 1. Let b be o(-2). Let x be (1 + b)*(-1)\/1. Let m(v) = 2*v**3 - 2*v**2 + 3*v. Calculate the remainder when 41 is divided by m(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*a + 937 = -1399 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 31376*g + 94121. Determine x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:36 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85201873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5150.815658 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (160\/224)\/(10\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 - 56*p**3 - 66*p**3 - 86*p**3 - 59*p**3.\nAnswer: -257*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.41*-2\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 4. Let v be (-2 - -1)\/(0 - 1). Let i be 36*(-1)\/v + 3. Let z(l) = 9*l + 33. Give i*s(q) - 4*z(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305760 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(448) + 2*sqrt(448)*-6))**2.\nAnswer: 1951488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s + 3. Let z(a) = -23*a + 4. Let p(f) = 2*c(f) - 3*z(f). List the prime factors of p(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 291 - 129 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**6 - h**3 - 78*h**2 - 2 wrt h.\nAnswer: -1080*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-170)\/(-31 - -48))\/((-10)\/4). Solve m + 23 = -d*n, 3 + 3 = 3*m - 3*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 2. Let w be t(-2). Let o be (-2)\/w + (-610)\/15. Let s = 115 + o. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/19)\/(c**18*c) assuming c is positive.\nAnswer: c**(-358\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Let a be k(4). Suppose a = -j - j + 50. Solve 0*d + 4*d + 20 = -2*y, -4*y = 5*d + j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - 105\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*l + 170, i + 3*i + 4*l - 200 = 0. Suppose -52*j = -i*j - 378. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from {o: 4, k: 5, x: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2. Let q(v) = v**2. Let z(p) = 3*l(p) + 24*q(p). Let t be z(-2). Let m = -27 + t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*s - 6 = 0, s = 2*a - 0 - 7. Let p(r) = 8*r - 11. Is p(a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 286, 297, 326, 379, 462, 581, 742?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*z + 5)*(-4 + 4 + 2*z**3) - 4*z**4 - 1 - 5*z**4 + 4*z**4.\nAnswer: -9*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*-3) + -2.\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/10 + 5*d**4\/24 + 2*d**3\/3 + 116*d**2. Suppose -20 = -0*r - 4*r. Let k(m) = -5*m**2 - 4*m - 3. Give r*k(a) + 4*s(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*x + 5 = -11, -12 = -4*h - 3*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + v - 4. Let r be j(6). Let s(p) = p**2 - 2*p - 3. Let c be s(-1). Let w(f) = f**r - f - 3 + 2 + c - 4. What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 31 (c) -1 (d) -5 (e) -4 (f) -65\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/3 - 329410*t\/3 - 5425547405\/3.\nAnswer: -5*(t + 32941)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201 - -3?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -1\/2155?\nAnswer: -1\/2155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11935 + -83543\/7. Determine w so that -l*w**2 - 6\/7*w + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 > 21997\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -5*x**2\/2 - 2. Let u(r) be the second derivative of -r**3\/3 - 20*r - 1. What is u(d(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 1, 0 in descending order.\nAnswer: 5, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*h - 23, 11 + 0 = -d + 5*h. Let b(l) = -l**2 - 5*l + 7. Let n be b(-5). Suppose n*t - 24 = d*t. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**4\/12 + r**3\/6 + 10*r**2. Let s be n(2). Solve 2*a - s*a + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = w - 473. Let p(a) = -a**2 + 39*a - 36. What is the remainder when p(5) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 106*m + 105*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uueeeeeuuueeuu.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(11\/(-72)) + (45 - 10) + -22?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n + 3. Suppose 3*i = 5*w - 0*i - 55, -2*w = 4*i - 48. Let l(y) = -74*y - 14. Let p(h) = w*m(h) + 3*l(h). Let v(f) = 2 - 2 - f. Give p(v(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:25 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - p = -3*r + 35, -2*r - 5*p = -1. Let a be 22\/(-5 + 7) - (-7 + r). Let q(v) = -v**2 + 12*v - 20. Calculate q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -15*m**2\/2 + 26*m - 26. Is q(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 12.9. What is the nearest to -1 in -4, i, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let f(n) be the first derivative of -13*n**2\/2 - 384. Calculate f(p) - 4*i(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-9) - 10\/(-45). Differentiate -7*i**2 + z*i**2 - 1 - 1 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {d: 11, n: 4, e: 2, z: 1, t: 1, c: 1}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 213, -1, 0.5, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*n - 11 = 0, 2227*v = 2225*v + 4*n + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270678 and 142431.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -275*r**3*s + r**3 + 4*r**2*s + 2735*r wrt s?\nAnswer: -275*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 + 6*18\/27. Suppose 2*p = 7*z - 4*z + 75, 154 = 4*p - y*z. What is the remainder when p is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 13 = 4*w. Suppose -2*z = -0*z - 80. What is the highest common divisor of z and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 50. Let k = b - 13. Solve -3*u = 5*q + 19, -2*u - 7*q + 2*q - 16 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277886 (base 9) in base 13?\nAnswer: 9078a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**3 - 5*v**2 + v. Let r(u) = 6*u**3 - 4*u**2 + u. Suppose 3*x - 4 = 11. Determine x*r(a) - 4*n(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 6 + 4. Suppose -4 = n*o + 2*u, -2*o = 3*u + 3 + 1. Let w = o - -3. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8450 = y - 36528, 0 = -3*g + 4*y + 44968. Calculate the remainder when g is divided by 153.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1829 = 8*u + 1909 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8 - m**2 + 8*m - m**2 - 9 + 10*m**2 + 10. Let j(t) = -7*t**2 - 7*t + 6. Suppose 2*r + 15 = -r. What is r*d(z) - 6*j(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 + 6 = 0. Let v(s) = -153525*s**2 - 8*s + 15*s - 4*s - 1 + 21523*s**k. Let y be v(1). What is y rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 11*c + 1. Sort c, -5, 2 in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, 5*y + 3 + 18 = u. Does 10 divide (-21*2)\/(-2)*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/(-480))\/(1 - (-207)\/(-212))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -42, -122, -276, -528, -902, -1422, -2112?\n\"Answer: -4*n**3 - n**2 + n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + p - 3*p. Let s(k) = -k**3 - k**2 - 1. Calculate -2*s(a) - 2*t(a).\nAnswer: 2*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5826488.\nAnswer: 2, 101, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 5627 = -10*z + 7727. Solve -21*i + 712 = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -1\/2 (c) -1\/9 (d) 2 (e) 6 (f) -475\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704884133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/3))**(-6\/13))**(-2))**(-34\/5))**(-2) assuming z is positive.\nAnswer: z**(272\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - (1 + -1) - (7 + -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. What are the prime factors of 45\/3*o\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/5 + 2363*y\/5 + 10494 = 0.\nAnswer: -22, 2385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*25\/10*-1. Let p(o) = o**3 + o + 1. Let t(v) = v**2 - v + 1. Let r(q) = p(q) - 6*t(q). Calculate r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1468000 = -2*s, 215386 = u + 2*s - 151614. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + 3*v**4 - 3*v - 5*v + 1 - v**3 - 2*v**4 as b*v**3 + y*v + d*v**4 + s + u*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9971\/6 - -1672. Calculate the common denominator of v and (-1)\/4*((-184)\/5)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 4 = 48. Suppose 3*q + 5*j + 18 - 53 = 0, 5*q - 69 = -3*j. What is the remainder when q is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/(-21) - (-1)\/3. Let u(m) = -9*m + 6. Let v be u(-6). Is 14 a factor of ((-672)\/v)\/(o\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 10. Suppose -4*x + 24 = d*a, 3*x - a + 0 = 8. Suppose -14 = -2*k + k. Calculate the remainder when k is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 106737*o - 4269492. What is n(40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 + 18797*c**2 + 11670*c - 2 wrt c.\nAnswer: 12*c + 37594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - n + 5, 12*n = 15*n - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27352 - 3693 = -5*l + 3*h, h = -5*l + 31045. List the prime factors of l.\nAnswer: 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) + -2*sqrt(756))*-1)\/(1*sqrt(363)*-2 - sqrt(363)).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 103204562?\nAnswer: -103204556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (431 - 4 - 3)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 55. Let z(v) = n*v + 108*v - 2 - 215*v. Let f(u) = u**3 + 9*u - 5. Suppose 3*a = -0*a - 6. What is a*f(h) + 5*z(h)?\nAnswer: -2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25053, -50101, -75145, -100185, -125221?\n\"Answer: 2*f**2 - 25054*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 75 + 29 - 3227*r + 8 + 18.\nAnswer: -3227*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -70. What is the nearest to 2 in -3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31699018671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798547.\nAnswer: 13, 369119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1410 and 1720435.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.86 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -33*a**2 - 403*a - 1. What is b(-13)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n + 10. What is a(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 122 = -r. Let j be (r*11 + -2)*1. What is j rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g - g)*(-5 + 1 + 1) to j*g + u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let s = -0.03 + 0.33. Let q be -2 + ((-240)\/(-33))\/4. Which is the nearest to g? (a) s (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 17*v**3 + 25*v**3 - v**3.\nAnswer: 41*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 127*c**2 - 438*c - 361. List the prime factors of a(132).\nAnswer: 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 4 + (sqrt(405) + -1 - -4*(sqrt(5)*2 - sqrt(5)) - (sqrt(20) + -2 + 5)) + -3 + 4)**2.\nAnswer: 110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 14. Let b be w(4). Find the third derivative of 0*y**4 - b*y**2 - 11*y**2 + 10*y**4 - 2*y**2 wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -2, -31 in ascending order.\nAnswer: -31, -2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*o = 33, 5*o + 0*o = -i + 25. Suppose 3*y = -i*u + 18758, 2*y + u - 19813 + 7317 = 0. Is (-3)\/(-6) - y\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 46?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*a - 17, -5*a = -4*a - 5*h - 46. Let b(v) = -12 + 39*v - 38*v + 11 + a. Let u be b(-9). Calculate the highest common divisor of u and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 3, -40, -0.1, -2\/7 in decreasing order.\nAnswer: 3, -0.1, -2\/19, -2\/7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 144. Let a = 243 + m. Calculate the remainder when a is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-112))\/((-3)\/(-2))*115\/23\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057376 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74361615 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 12. Let n(m) = -m**3 + 8*m**2 - 5. Let w be n(8). Suppose 24*a - 16 = 32*a. Sort -1, u, w, a.\nAnswer: w, u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, -2.638, 4\/3, -6.\nAnswer: -40, -6, -5, -2.638, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(500) + sqrt(500) + 4 + -4)*4 + (sqrt(500) - (-1 + sqrt(500))*-4 - (-1 + 0 + sqrt(500) + sqrt(500))) + 3)**2.\nAnswer: -181500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*t**3 + l**3*t**2 - 2355*l**2*t**3 - 2738082*l**2*t - 3*l*t**2 - 135*t**3 wrt t?\nAnswer: 12*l**3 - 14130*l**2 - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 65. Let c(r) = 12*r + 208. Let v(q) = -5*c(q) - 16*h(q). Let o(g) be the first derivative of -16*g**3 - 20. Determine o(v(x)).\nAnswer: -768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 8 + 56)*(-3*m + 3*m - 2*m) - 13 + 8 + 4 - 8*m as n + b*m and give b.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33079, 66154, 99229, 132304, 165379?\n\"Answer: 33075*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppcecepp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.1, -0.053, 2, 101?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-14) + (-138)\/(-21). Suppose 2*z - 176 = -4*x, 0 = -l*z + z - 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 3*d - 15*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-15))\/(-7)*(-18)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 + -3.4912. Let w = -0.0553 - y. Let s = 0.035 + w. Round s to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -1217\/23. Let j be 9\/((-9)\/52) - -3. Let g = j + 53. Which is the second smallest value? (a) -2\/7 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 15, 2 in descending order.\nAnswer: 15, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -2, -1\/17, -4, -211?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11171 = 368*i + 89*i + 26252 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 671*m**2 - 55328*m - 1078668 = 0.\nAnswer: -38, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 - y - 1. What is a(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 73. Calculate the remainder when 9 is divided by j(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2179275202.\nAnswer: 2, 13, 4349, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2428*n - 6500. Is o(-20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**4 + 15*g**3 + 10*g - 6. Let m(a) = 20*a**4 + 46*a**3 + 31*a - 17. Let c(j) = -6*m(j) + 17*r(j). Find the second derivative of c(u) wrt u.\nAnswer: -12*u**2 - 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15210)\/(-24 - -6)*-1. Is m greater than -845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 233 or 152?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-5))\/((-24)\/(-30)). Let v = n - 5. Which is the biggest value? (a) v (b) 5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -578 + -448. Let z = g - -1017.97. Let v = 7.1 + z. Round v to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-1 - -60) + 3). Let s = q + 124. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/45)\/u)\/u**11 assuming u is positive.\nAnswer: u**(-539\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -522, -517, -512, -507, -502?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3624 and -101\/90919818.\nAnswer: 363679272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:00 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffdffffdffddddfffd. Give prob of sequence dffd.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)\/(n\/(n\/(n*(n*n**(-2))\/n)*n))*(n**(1\/3))**(-2\/55))**(1\/2))**(-42) assuming n is positive.\nAnswer: n**(-12649\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 3*z - 448. Determine b(27).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -279 + i**2 + 6*i + 279. Let k(p) = p**2. Let t = -8 + 7. Let x(l) = t*j(l) - 2*k(l). Let x(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 32*i**2 - 9*i - 24. Calculate g(-15).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18901?\nAnswer: 41, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 233678*y**2 + 7009786590*y - 10682113108050.\nAnswer: 2*(y - 57615)**2*(y - 1609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 5\/2 (c) 1 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.69 (b) -13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from grxrxxhxh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147300 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.2*0.4.\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/((-1)\/(-10)) + -4. Suppose z*g = 6*g - 3*o + 481, -4*g = -o - 378. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 35. Let l be s\/(-5) - (-8)\/20. Solve 0*h - h = -l*u - 4, -3*u - 2 = -h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2) + (-4)\/(-2). Let l = v - -3. Suppose 31 + 5 = l*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.0013 micrograms in nanograms?\nAnswer: 344001.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let x(s) = -88 + 38 + 49 - 42*s. Give g(x(j)).\nAnswer: -84*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453 + -316. Suppose -148*g = -n*g - 22. Calculate the remainder when 14 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 114. Let n = -97 + c. Let m be 5 - (-250200094)\/(-18) - (-4)\/n. Round m to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.73 - -3.73. Suppose r - 18 = -4*s + 2*r, 0 = -4*s + 5*r + 26. Which is the fourth smallest value? (a) s (b) 0.3 (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68564 by 17141.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23390 - 9547. List the prime factors of o.\nAnswer: 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1411 and 1630.1?\nAnswer: -230.00711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120559787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - s + s)*(-2*s + 1 - 1) + (-s + 15*s**3 + 3*s - 19*s**3)*(4 + 0 - 3).\nAnswer: -8*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.68893679 - -0.31110721. Let y = l + -51. What is y rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1542, -1546, -1552, -1560, -1570, -1582, -1596?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -583682 or -583685?\nAnswer: -583685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (59\/177)\/((-3)\/(-90)). Solve -p - i = 3*z, 2*p = 12*z - 14*z - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + -4.4. Let m be 1\/5*34\/24. Let q = m - -1\/20. What is the closest to 0.1 in -2\/3, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*l**3 + 88*l**3 - 173*l**3 + (2*l + l**2 - 2*l)*(1 - 2*l - 1) + 0*l**3 - l**3 - 2*l**3 in the form z*l**2 + w*l + c + m*l**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.28 + 1.32. Let g = -0.04 + i. What is the biggest value in 4, 3, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2315 + -3 + -4 + 4. Let f = q - -4856. What is the remainder when f\/72 + (-3)\/(-4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let m(k) = 10*k + 11. Let h be m(-2). Let s be (h\/15)\/((-2)\/20). Solve -s + r = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7)*q)**(-1\/53)*q*q**(2\/35)*q*q*q*(q**(1\/44)*q)\/q assuming q is positive.\nAnswer: q**(319139\/81620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 + 2*l + 1. Let g be c(-3). What is the common denominator of 50\/4 - (-3)\/g and 93\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**3)*t)**(-23))**8*(t*t**6*t*(t*t**(-11)*t)\/t)**(8\/3) assuming t is positive.\nAnswer: t**(-2224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38736 divided by 12912.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6957.\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = 3*w - 159, -w = -3*d - 39. Suppose 4*y - 2*r = w, 11*y - 6*y + 3*r - 60 = 0. Solve -2*b + 20 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 409705231 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 1. Let d be l(1). Let x(v) = 51989 - 17332 - 17326 - 17330. Let h(r) = 5*r**2 + 5. Give d*h(f) - 4*x(f).\nAnswer: 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:33 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i**2. Let u(x) be the third derivative of 13*x**5\/60 + 63*x**2. Calculate r(u(j)).\nAnswer: 3549*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**7\/5040 + t**6\/360 + t**5\/60 - 19*t**4\/24 + 9*t**2. Let d(r) be the second derivative of i(r). Factor d(f).\nAnswer: (f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104665279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**(25\/3) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/8 (b) -4\/5 (c) -1.8 (d) -0.0373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/8878653 and 113\/3288390.\nAnswer: 88786530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.3, -0.2, -23, 1.7, 0.4, 4.1?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:51 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16.571 * 0.1\nAnswer: 1.6571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -13) + -9 + -30 - (0 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-15))\/(-50) + (-1)\/7*3.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzddzqdyzvv. Give prob of picking 1 v and 3 z.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (1 - (-2 + 2)). Suppose 2*i - 2 = -c. Solve -4*v = -i - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-24)\/320 - (0 + (3 - 2)) and 113\/330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3, -0.01, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide (1725867\/(-18))\/(-11) - -6*5\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-1 - 0) + 4 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -80*o**4 - 476*o**3 + 4348*o**2 - 1056*o = 0.\nAnswer: -11, 0, 1\/4, 24\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12*o + 19 = -14*o, -o + 13 = 5*s. Let c = -3 + 0. Put 2, s, c in decreasing order.\nAnswer: s, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 566 - 554. Let o be -3*(-8)\/f - -7*1. Solve 9*g - o = -0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32946790.75 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 9*s - 14. Let q be d(10). Let l = q + 5. What is the units digit of l*3 - (4 + -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + ((-1*sqrt(65) - sqrt(65))*2 - sqrt(65)) + sqrt(65) - ((sqrt(65) - sqrt(65)*-1) + sqrt(65))*6)\/((sqrt(80)*-4)\/sqrt(4)*6).\nAnswer: 7*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 22. Let w(q) = q**3 + 2*q**2 - 19*q + 3. Let h be w(4). Calculate c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 1. Let l(u) = -u**2 - 3*u - 1. Let s be l(-2). Which is the smallest value? (a) s (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*m**2 - 100 + 3*m**3 + 57*m**2 + 32 + 34 - 3*m + 3*m**4 + 30 in the form f*m**2 + l + v*m + r*m**3 + u*m**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*z - 36, 3*d - 33 = 4*z - z. Suppose -d*y + 45 = -2*y. Solve 0 = 3*p - 2*p + 2*j - y, -3*p - 4*j = -23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 120*j**2 + 124*j**2 - 243*j**2 - 7*j. Suppose 5*h = -3*r + 4*r - 3, r + 5*h - 13 = 0. Determine t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.4016 rounded to 1 dp?\nAnswer: -126.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-56)\/6) - (-3)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7065, 6727, 6155, 5349?\n\"Answer: -117*n**2 + 13*n + 7169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360972 is divided by 293?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.91. Let x = -88614.01 - -88614.09999918. Let c = x - o. What is c rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z - 2. Let s = -8 - -10. Let x be w(s). Solve u + 3*u = -x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 414467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*sqrt(84)*-3)\/((1*sqrt(48) + sqrt(48))\/sqrt(4)) + -1 + -4 + 4.\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -377995*k + 369869 with respect to k.\nAnswer: -377995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -85533, 106, 2\/9, -2, -1\/3 in descending order.\nAnswer: 106, 2\/9, -1\/3, -2, -4, -85533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -15, -1248, 1, 13 in descending order.\nAnswer: 13, 1, -15, -17, -1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334305519.\nAnswer: 3, 31, 3594683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:57 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*j - 1462 - 408, 2*z - 3*j - 3747 = 0. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d - 34. Determine n(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 734 - 360*u**4 + 7*u + 562*u**4 - 380*u**4 - 7*u wrt u?\nAnswer: -712*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 2*o + 5. Let q(m) = 2*m**3 - 87*m**2 + 825*m + 14. Let i be q(14). Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 (base 11) in base 7?\nAnswer: 23124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + k + 1. Let y(j) = -j**2 + 7*j - 7. Let t be y(6). Let z be l(t). Let d be 1 + (-5 - 12*-1). Solve -z*r + 7 = -d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10241989 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 17*j**3 - 655\/8*j**2 + 0*j - 1\/8*j**4 = 0.\nAnswer: -131, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 59, 91, 123, 155?\n\"Answer: 32*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - z = -1, -3*z - 11 = -5*q - 6. Solve -4*o = q*m + 28, 2*m - 2*o - 24 = 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298688 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/13 - 1)*440\/(-5500). Which is the biggest value? (a) 0.2 (b) f (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -74 - 66 - (0 + 29).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2, x: 1, w: 1}. What is prob of picking 1 y and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*x**2 - 2*j**3*x + 324846*x**2 - 2433721*x wrt x.\nAnswer: -2*j**3 + 649692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -401 + 145a?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - 2.1. Let w = -5.399866 - z. What is w rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, -6 in decreasing order.\nAnswer: -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356005 is divided by 177.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5454833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7784 take away -400230?\nAnswer: 400230.7784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 759 + -765. What is the closest to -0.08 in -5, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.039.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160031495 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39, 17, 2, 626.\nAnswer: -39, -2, 2, 17, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -76, -6, 0, -3 in decreasing order.\nAnswer: 0, -1, -3, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944210?\nAnswer: 2, 3, 5, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 12*y + 76 = 0, -4*y + 9*y - 199 = 4*x - 104 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rro when three letters picked without replacement from hhrroccocvvoco.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3996 is divided by 1285?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387063667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1790)\/5*1*(-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-7))\/(330\/231)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 734.16577 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 18 - 23589*f + 23584*f + 4.\nAnswer: -5*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-2)*(-22)\/33*63\/(-105).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 3*w)*(-19*w - 13*w - 9*w)*(-1 - 2 + 5).\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 45283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4448 and 187?\nAnswer: -831776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33554 - -12?\nAnswer: -33542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + 6 + (-3 + 952 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0 + 1\/24*b**4 + 11\/6*b**3 - 2*b**2 + 0*b. Suppose -8 = 4*s, -s = -2*i + 3*i + 2. What is c(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from ztpdttuptdtzpt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -953*0.04.\nAnswer: -38.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 92, -2, 213, 3 in increasing order.\nAnswer: -2, 0, 1, 3, 92, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**4 + 32*t**3 + 44*t**2 - 112*t + 48 = 0 for t.\nAnswer: -2, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(-40) - (-19658)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10242?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -399*d + 416. Let m(c) = 1191*c - 1247. Let v(j) = 3*m(j) + 10*o(j). Differentiate v(k) wrt k.\nAnswer: -417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(-13 - 56*f + 1 + 54*f).\nAnswer: -2*f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -5, -1\/4, 700, -21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -329078, -329085, -329104, -329141, -329202, -329293, -329420, -329589?\n\"Answer: -a**3 - 329077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(1\/16*24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 5:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 49 + 1. What is the greatest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7505869227 to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6783)\/(-1330) - (-1)\/(-10))*1. Solve 5*b - 1 = -4*s, 0 = 4*s + 2*b - v*b - 25 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 205 = -109. Suppose -20*l - 3*c = -d*l - 1711, 3*l - c = 1267. What are the prime factors of l?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 3 - 7 + 0 + 2. Let t(d) = -5. Let c(l) = 2. Let k(i) = 8*c(i) + 3*t(i). Determine 6*k(z) + n(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19*l)\/(l*l*l**(-16)) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*q = 4*x - 24, -3*x = 5*q - 18. Suppose 4*f + 1 = 9. Let d(w) = -7*w**f + 5 + 2 - 1 - 7 + w**3 + 7*w. What is d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(3\/22)*n))*n*n*(n**(-1)\/n)\/n*n*n\/(n*n**(-21)\/n)*n**(2\/3)\/n assuming n is positive.\nAnswer: n**(1505\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.16349 - 0.17549. Let n = -44 + z. Round n to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 22538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8. Suppose -5*z - 5*w + 70 = 0, -2*z - l*w - 3*w = -40. Find the third derivative of -2*x**2 - z*x**5 + 13*x**2 + x**5 wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.92 - -0.92. Let t = m + 23. Sort t, 0.1, -2\/13 in ascending order.\nAnswer: t, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -131, 0, -2, -3 in decreasing order.\nAnswer: 1, 0, -2, -3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 17, -7, -11, 11?\n\"Answer: f**3 + f**2 - 48*f + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x**2 - 1501*x + 976. Let v(z) = -2*z**2 + 35*z - 1. Let c(b) = -q(b) - 4*v(b). What is the first derivative of c(o) wrt o?\nAnswer: -4*o + 1361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308812564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001046 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3790153 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -23, -21, -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*o = -12, -2*h + 3*o + o = 6. Suppose 6 = -3*y + 3*r, 4*r + 342 = -5*y + 386. Sort 2, y, h, -2 in decreasing order.\nAnswer: y, 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1192506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -291. Suppose -9760 = -4284*o + 4223*o. Are o and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.125 (b) 3\/7 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2666 - 3*n**2 + 6*n**2 + 2666. Let u(s) = -s**2. Give u(d(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y - 1. Let c(g) = -877*g + 1751*g - 2 - 880*g. Calculate -3*c(b) + 4*z(b).\nAnswer: -4*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*g - 4*z + 2, 2*g + 1 = z. Let c(s) = g - 2 - s. Let u(b) = 2*b. Determine 8*c(f) + 3*u(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-2)\/12). Let f = -5 + n. Suppose -2*i + 8 = 6*k - f*k, 5*i - 4*k - 2 = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = -4926 - 15621. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:08 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29639926153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. What is the common denominator of 2 - (-68)\/(-18)*f and 2 - (-5)\/(70\/46)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*x - 18 = 147*x. Factor -1\/2*n + 0 + 1\/2*n**x.\nAnswer: n*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 913 and 1245?\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -61, 143392 in descending order.\nAnswer: 143392, 2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 + -274. Sort 55, 2, z in decreasing order.\nAnswer: 55, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(24\/12)*(-2)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 9 = 0. Suppose k*y - 8 = -5. Suppose 3*b - 14 = -4*j + 19, b + y = 0. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -871.146 to the nearest integer.\nAnswer: -871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26918 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 13*g. Let f(s) = -2*s. Let y(u) = 39*f(u) - 6*q(u). Let n(z) = -4*z. Determine n(y(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1.7, -197, -4, 12, -1, 2\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4874, 9744, 14600, 19436, 24246, 29024, 33764?\n\"Answer: -f**3 - f**2 + 4880*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -6)\/((-5 - -3) + 3). Suppose 4*p + 3*m - 32 = -d*m, -3*p = m - 24. Calculate the remainder when 111 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -2*w + 4*w + 5*s, 5*s = 15. Calculate the highest common factor of w and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j - 42. Calculate i(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 2. What is j(-19)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -20*a + 888. Determine l(59).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -181930000 to the nearest one million.\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 246*i**2 + 420*i. Let w be m(-2). Let f be ((-8)\/(-2))\/((-1)\/(-12)). What is the highest common factor of f and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7411 is divided by 491.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1038345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*51\/((-3213)\/(-168)). Let k be (4\/(-5))\/(2\/(-40)). Calculate the greatest common factor of z and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 35. What is the remainder when m(24) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1\/(-4) + 3579\/12 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158.672 rounded to zero dps?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Let x be (u + (-6 - -5))*-3*479. Suppose 710 - x = -4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d = 6. Let h(g) = -g - 3. Let w be h(d). Let p = w + 1. Solve 0 = 3*o - 2*s + 2, -p*o + 18 = -o + 3*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + y)*(-y + 3*y - y) - 2*y**2 + 0*y**2 + 0*y**2 - y**2 + 0*y**2 + 0*y**2 - 2*y**2 + 16*y**2 + 4*y**2 + 79*y + 23*y**2 - 79*y.\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvqtqddbtvqqdttttt. Give prob of picking 1 b, 1 d, and 1 v.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2392 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000111000 (base 2) to base 11.\nAnswer: 3986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1740295 divided by 2\nAnswer: 1740295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1871 = r - 6778. List the prime factors of r.\nAnswer: 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/187, 1\/4 in increasing order.\nAnswer: -3, -1\/187, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1854164 and 15403824?\nAnswer: 200249712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 18*v + 7. Let i be y(-17). Is (2 - 543)*i\/((-60)\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68847 and 795.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18984 and 0.5.\nAnswer: 18984.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 22, 6, -18?\n\"Answer: -4*m**2 + 4*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22399575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 518 = k, -2*x - 2*k = -6*x + 412. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4010 (base 9) to base 3.\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, -1000009 in decreasing order.\nAnswer: 2, -1, -4, -1000009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/4)*x))**(-15)\/(x**3*(x\/(x\/(x**(3\/7)*x)))\/x) assuming x is positive.\nAnswer: x**(219\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 708*y - 2896.\nAnswer: 4*(y - 181)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -29. Calculate the remainder when 22 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88499 or 88500?\nAnswer: 88499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -31, -32, -33, -34, -35?\n\"Answer: -y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q - 6. Let b(k) = 37*k + 13. Let y(d) = -6*b(d) - 13*l(d). Let n(h) = -5*h**2 - 11*h. Give n(y(f)).\nAnswer: -5*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 - 86 + 73)*(-2*n**2 + 4*n**2 + 0*n**2)*(-11 + 2 + 3)*(-6*n - 15 + 15) in the form f + j*n + a*n**2 + x*n**3 and give x.\nAnswer: 4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (317 + 321 - 560)*(0*n + n + 0*n) as q*n + v and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -151 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275577413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + (10 - (2 - -10)) - 24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 4, t: 8, w: 1, g: 1}. Give prob of sequence tgm.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.63 + -0.613. Let z = 0.017 - l. Let g = 5 + -10. Which is the nearest to 0? (a) z (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9760.0000007571 - 9760. What is r rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 54*t + 61*t - 1 + 60*t + 47*t.\nAnswer: 114*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -1, 67, 139, 215?\n\"Answer: 2*r**2 + 58*r - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -126, -201, -306, -441?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 - 8. Let p = 294 - 294. Which is the nearest to p? (a) -2 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15640 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.5394143 to two dps.\nAnswer: -28.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-7)\/(-7) - -7. Solve 7*g = v*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)*m*m*m)\/(m\/m**(-9)) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445613 (base 11) to base 14.\nAnswer: 146b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, g: 1}. Give prob of sequence rgr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3402 = -4*k - 3*t, t = -4*k + 3398. Suppose 4*g - 311 - k = 0. Suppose -s + 66 = 4*a, 3*s + s + 3*a = g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/12*(-8)\/10. Let o = -534 + 537.99. Let f = o + 0.01. What is the second biggest value in t, -2, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 3\/4 (c) -5 (d) 26 (e) 2\/3 (f) -72\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41704\/132080 - (((-5)\/(-6))\/5 - 58\/(-435))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**6\/90 + 91*z**5\/60 + z**4\/36 - 91*z**3\/18 + 1462*z. Let q(w) = 0. What is w?\nAnswer: -1, 0, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 819181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85686569 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 - 4*h**2)*((1 - 2 + 3)*(142 - 69*h - 140 + 35*h) + (-3 + 3 + 2)*(0*h + 0*h + h) + 1 + 2*h - 1).\nAnswer: 128*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 166, 235, 286, 313, 310?\n\"Answer: -c**3 + 88*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*t + 84*t - 27*t - 2222 = -8*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 81561.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-3 - 9) - 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 11. Suppose p + 28 = 5*q - 15, 2*q + 4*p = 4. Let g be k(q). Let h(o) be the second derivative of -o**3\/3 + 7*o**2\/2 - 2*o. What is h(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -72. Let g be 2*(w\/1 - -4). Let v(p) = -13*p**3 + 4*p**2 + p - 3. What is the tens digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*6\/(-12). Suppose f = 4*n - 3*k - 52, -2*n + 6*k = 9*k - 44. Solve -2*b = -6*b + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.686662kg?\nAnswer: 6686.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204694 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*21\/294*4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5058690058 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 281 = -b, -l + 5*b - 322 = -323 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2114370 divided by 2\nAnswer: -1057185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 16. Let c = 0.05 + -4.05. Let x = -4.4 - c. Put x, r, -1 in ascending order.\nAnswer: -1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107*0.3.\nAnswer: 0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*z - 26 - 112 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:25 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - j - 2*j - 7, 0 = -5*c - j + 5. Suppose -2*p = c*q + 2*q - 2, -6 = 2*p. Is (14\/2)\/(-1 + q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-4) + 7)*(0 + 0). Solve g = -l*g - 4*f + 6, -4*f - 4 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*35\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -23 + ((-2)\/6)\/(4\/12). Let x be 6 + 136\/i - 2\/6. Solve x = -4*t, s - 4*t - 5 = -t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*o - 327*o - 415*o - 454*o + 451*o in the form j + m*o and give m.\nAnswer: -1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = -100. Suppose -20 = -4*r, -3*t + 0*t = r - x. Suppose 0 = 2*q - 4*i, 5*q - q - 60 = -4*i. Solve 5*v = 2*c + q - 1, t*v - 1 = -2*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -219, -1506, -4933, -11550, -22407, -38554?\n\"Answer: -175*l**3 - 20*l**2 - 2*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 272212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 348 + 1736. Suppose 4*u - p + 65 = 0. Suppose 2*r - u = 112. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b - 165 = -36*b + 2*i, -785 = -5*b + 2*i. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2916\/11? (a) 3 (b) 0.2 (c) -1\/7 (d) 5 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 25 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4720.117 centimeters?\nAnswer: 47201170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004565 rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k + 117. Let n be a(7). Solve -5*u + 32 = -3*i, -3*u + 4 = -3*i + n*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -11545?\nAnswer: 5772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 4, r: 6, t: 4, i: 1, d: 2}. Give prob of sequence tivv.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*h + 1672 - 23449 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - 6 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883076 is divided by 1338.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 - 3*x**2 + x + 3. Let y(p) = -p**2 + 1. Let i be -2*2*(-2)\/8. Let l(s) = i*a(s) - 3*y(s). What is the second derivative of l(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -7 (b) 2\/9 (c) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*2*(-4)\/(-32))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413 - 97 + 491 - 34 - 5*o.\nAnswer: -5*o + 773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*n**3 - 10*l*n**2 - 58*n**3 wrt l?\nAnswer: n**3 - 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 58.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 470016.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 483*x + 4. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x - 4. Let k(r) be the first derivative of 3*r**2 - 3*r - 2. Let z(u) = -3*k(u) + 2*o(u). Let l be 1\/(-6)*2*-3. Calculate z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.206 and 107360.\nAnswer: -22116.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.87, -2, -0.5, 1\/1269?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*k**5 + 50*k - 37 wrt k?\nAnswer: -2580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 4*h**3 - 2*h**4 + (-4 + 2*h**2 + 4)*(-1 + 1 + 3*h**2).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-4)*8\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y - 3*r - 1344, 5*y - 5*r + 3335 = 0. Is y*-2*1\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(33) + sqrt(33)))\/(1*sqrt(48)).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 + 0 = 0. Suppose 2*j + 14 = -2*w + 4*w, 0 = -5*w - 3*j + 11. Let p = 1 - 2. Sort p, l, w in descending order.\nAnswer: w, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/17712 and 68\/99?\nAnswer: 194832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.78 + 0.78. Let j = 0.01429897 + -50.01343897. Let o = h - j. What is o rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1617060 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -41 - 109. Calculate the highest common factor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -13, -41, -111, -241, -449?\n\"Answer: -3*m**3 + 6*m**2 - m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -5 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 120 + 14 + -5?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/5)*p)\/p)**(-1\/23)\/(p**(-1\/5)*p*p**7*p))**(2\/17))**(18\/11) assuming p is positive.\nAnswer: p**(-7272\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*y - 3*y - 2824 = 0, -4*a - 3*y = -2792. Suppose -7*g + 370 = -a. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*q**2 + 20*q**3 - 157*q**2 + 76*q**2.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 + 4*c + 4. Let y be n(-2). Solve -4*p + 4*w + y = 0, 3*p - 5 = w - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076124513 to five dps.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m + 16. Which is the nearest to 0.1? (a) -2\/7 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/8*(-2)\/15 and (((-11)\/(-4))\/(25\/125))\/8.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236*b**4 - b**2 - 2*b wrt b?\nAnswer: -5664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:30 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and -0.05?\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-544)\/(-18) + 56\/(-252). Let f = 44 + u. Calculate the remainder when f is divided by (19\/2)\/(1\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -42*o. Let y(s) = 12*s. Let g(f) = -5*m(f) - 18*y(f). Let b(z) = z. Give g(b(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10502728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 718648763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5922.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*d + 4 - 18 = 0, 2*d = s + 2. Find the second derivative of 4*c - 5*c + s*c - 2*c**4 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = z + z + 1993, -2*z = 8. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -1\/53 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.081 times 0.5?\nAnswer: -1.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 2*j**2 + 28*j - 21. Let f be g(6). Suppose 9*n - p + 5134 = 14*n, 3*n = f*p + 3084. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = 5. Let l be v\/2*2*46. Let u = l - -46. Solve 4*f - k + 24 = u, 2*k + 8 = 4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17046693, 34093392, 51140089, 68186784, 85233477, 102280168, 119326857?\nAnswer: 136373544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*v - 34. Let l(q) = q - 2. Let d be l(4). Suppose 3*h - 161 = -v*a + d*a, 2*h + 3*a - 114 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39)\/(-15) - (-2)\/5. Suppose 5*n - 45 = -5*f, -i*f = 2*n - 8 - 14. What is the second derivative of -3*y + 0*y**4 + 0*y**4 - 3*y**4 + y**f wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, -1, -57\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*n + 2574, 30*n + 2064 = 4*l + 28*n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/469876 and -37\/85432.\nAnswer: 939752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22757 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, 1 t, and 1 k when four letters picked without replacement from rrrkrrketrrrrrktrrk.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.2. Let t = 2.66 + -2.76. What is the nearest to 1 in t, i, -0.13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97425 and 45.\nAnswer: 97425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -62690*v - 16*v**2 + 62688*v - 61*v**2 - 4 - 2*v**3 - 1 in the form z + d*v**3 + s*v + b*v**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/290 and -79\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814.9 + -814.5. Which is the third biggest value? (a) r (b) -6 (c) 23.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/107874405 and -13\/15.\nAnswer: 107874405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 10*a + 15. Let k be n(-11). What are the prime factors of 1197\/14 - 6\/k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 + 3*n**2\/2 - 3*n + 1. Suppose g - 3*g - r = -11, -4*r = -4. Determine z(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11311 + -11589723\nAnswer: -11601034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-6\/7)\/a*a)*a**(13\/4)*a*a**(-2\/49)*a\/a**(-1\/2))**(3\/4) assuming a is positive.\nAnswer: a**(4449\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {i: 1, n: 9, g: 7}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 13*a - 12*a. Suppose -4*h = -a*n + 1639, 12 = 3*h - 6*h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2503056403 - -13?\nAnswer: 2503056416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + -2 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3636\/2077 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 3*k + 16. Solve 5*f + k + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.5 minus 65?\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61560567?\nAnswer: 3, 760007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1. Let x = -2.087153 - -0.987153. What is the third smallest value in x, s, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlhr when four letters picked without replacement from lrlehetq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/30 - 7\/30. Let i = 187 + -184. What is the nearest to 5 in i, r, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 9*h + 8. Let w be y(-8). Let g be (-1 - w\/(-2)) + 0. Let r be 12\/(-9)*g*3. Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/836 and -47\/304.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 15*a - 7. What is the tens digit of u(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21866 - 21866. Let j(w) = -2*w + 8. Let c be j(7). What is the biggest value in c, 0.1, -10, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 6. Let k(w) = -2*w**2 - 7. Let d be (-8)\/6*9\/2. Let y(n) = d*j(n) + 5*k(n). Let l(o) = o**2 + 1. What is -l(p) + y(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32075.\nAnswer: 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4, c: 2, g: 3, i: 7, v: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14.54*4\nAnswer: 58.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-1 + -121 - -1). Let y(z) = -2*z**2 - 1541*z + 1538*z + 3*z**2 + 8. Let r be y(4). What is the highest common factor of r and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose -5*v = j + 12, -c*j + 3*v + 2*v + 24 = 0. What is the lowest common multiple of 12 and -2*j\/(-6) - -19?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1078*b**3 + 347*b**2 + 375*b**2 - 124*b**2 + 116*b**3 wrt b?\nAnswer: -5772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 2*o - 4. Suppose -8*f + 10*f = -60. Let m = f - -25. Let g be -1*(-4)\/(-2) - 4. Let p(r) = -3*r**2 + 2*r + 5. What is g*s(n) + m*p(n)?\nAnswer: 3*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 794531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -37 - (-12 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230541698 minus -1.788?\nAnswer: -1230541696.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/2 + 18*l + 14. What is the derivative of s(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15074 and -0.044.\nAnswer: 0.00663256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4812527, -19250122, -43312781, -77000504, -120313291?\nAnswer: -173251142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keeu when four letters picked without replacement from eluelkllt?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2060098*a**3*k**2 + a**3*k - a**3 - a**2*k + 3846*a**2 + 5*a - 20*k**4 - 20*k wrt k?\nAnswer: -4120196*a**3 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193519*y + 1193456*y - 2387102*y.\nAnswer: -127*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*b**2 - 3706*b**2 - 3780*b**2 - 1276*b**2 - 3060*b**2.\nAnswer: -12890*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 28 - 56)*(2*c + 3*c - 4*c) + (-2 + 0 - 3)*(-c + 3*c + 0*c) + 0*c - 2*c + 0*c.\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16872 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 2*x - 189 = u - 29, m = -x + 3*u + 90. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -34245.\nAnswer: -13698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17177923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15001 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2092 (base 10) to base 4\nAnswer: 200230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*n - 96*t + 1533 + 1058, -9*n + n + 4*t = 116 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 4*c + 4*s - 32, -2*c + 5*s + 44 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 2*f + 52 = 0, 9 = -27889*l + 27892*l + 3*f - 33 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 351.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -7.4. Let v = n + -5. Which is the closest to -2\/7? (a) 3\/4 (b) v (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 27, 2\/11, 16 in descending order.\nAnswer: 27, 16, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -927 + 2*s + 875 - 9*s - 7*s to the form w + t*s and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 13413949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 10*z - r = -11, 2*z - 4*r + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/117, 77, -0.4, 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and -52\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (5 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864655974 to the power of 1\/2, to the nearest integer?\nAnswer: 53522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmjmuuumz. What is prob of sequence luzj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 3*j + 2612 = 0, -173*c + 5*j = -178*c + 380 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j + 1632 = -252*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2 + 2. Let b(w) = -3*w**2 - 1. Let v be b(t). Let s = v + 14. What is the highest common factor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35089 + -18440. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 2. Let l(f) = 10*f. Let m be l(-1). What is the units digit of i(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397198 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 32 - 17 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2190.4 * -12150\nAnswer: 26613360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from rxxr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let w = -91.56 + 0.56. Let q = -90.8 - w. Sort q, x, 0.5 in ascending order.\nAnswer: x, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -121?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t + 8. Let m be j(1). Suppose m*n + y = 16*n + 1997, -n + 1997 = 5*y. Is (12\/3 - n)*1*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*a + 18, 0 = -3*a - 5*m - 7 + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1344812\/11 and 122256 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252343441 (base 6) to base 2.\nAnswer: -10010100111110010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and 2.4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -38 - 6 - 44?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -382535, -1530097, -3442679, -6120281, -9562903, -13770545?\n\"Answer: -382510*r**2 - 32*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17589295*n**2 + 3*n**3 + 8794570*n**2 + 8794725*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11893\/(-1908)*(4 + -1). Let w = 8\/159 - x. What is the common denominator of w and -50\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/33 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3092 + 2182. Let n = j + 1561. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 231?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-7 + (1 - -5 - 3)). Suppose 4*v - 171 - 37 = -2*w, h*w + 167 = 3*v. What is the remainder when 423 is divided by v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 4. Let h be z\/((12\/(-351))\/(-2)). Let y = h - 266. Round y to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 1737?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:03 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 1164112.3.\nAnswer: 1164112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 15*c - 1 = -11*z - 19*c, -3*c = 10*z - 3*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -12) + -9 - (1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142 * 10.\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 - -77. Let h = 18.999922 + c. What is h rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**2 - 5*z - 6. Suppose 3*y - 12 = -0*y. Let w(t) = -1 + 2 + 4*t**2 - 3*t**2 + 4538*t - 4537*t. Determine y*w(l) + i(l).\nAnswer: -4*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 - 4*o + 2. Suppose -12*f + 7*f + 20 = 0. Let g be v(f). Suppose -5*q + 10*q + 3*p = 11, g*p - 9 = -5*q. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37.7, 1, -145, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -37.7, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*f - 5, -x + 10 = x. Let n(g) = -2*g + 3. What is n(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*d + 7 = 3*f, 1 = 3*f + 2*d. Put 4, f, 0, -3 in descending order.\nAnswer: 4, f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + -34. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19708 + 34320. Does 52 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594394782 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 7. What is the remainder when f(-8) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**20\/v**(-2\/53)*v**(-6)\/v*v\/((v**(-2\/7)\/v*v)\/v) assuming v is positive.\nAnswer: v**(5685\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 287\/4 + 2\/8. Let z(l) = l**2 + 13*l + 39. Let j be z(-10). What is the greatest common factor of q and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26077\/5 at least as big as 5214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p**2 + 11*p**2 - 21*p**2 as r*p + v + g*p**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -15. Suppose 7*f = o*f - 4. Solve 0 = f*d + 4*a - 11 + 1, 0 = -a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1369\/3 + 448. Let w = -9385\/4 - -2335. Let z = 32 + w. Find the common denominator of z and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 + -1.31. Let p = -0.1 - -0.1. Let y = p + -0.1. Put y, -0.3, l in decreasing order.\nAnswer: y, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 - 0)*-3. Let d = 6 + p. Solve d*j + 4 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*s + 2 + 234*s - 4 - 3 - 644*s + 5.\nAnswer: -61*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534.247 times -51?\nAnswer: 78246.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*y - 8 - 23, y + 26 = -2*v. Let u = v - -41. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249731 less than 249734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2913037082.\nAnswer: -2913037085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 2. Let w(v) = -9*v + 3. Let o(z) = 7*t(z) + 3*w(z). Let x = -10 - -15. Let j be o(x). Solve j = n - 2, 26 = -4*a + 5*n - 0*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 247. Let m(k) = -k**2 - 10*k - 11. Let i be m(-8). What is the first derivative of i*g**3 - t - 2*g**3 + 11*g**3 wrt g?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6319 is divided by 175?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-874164)\/(5 + -9) + -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1650*s - 589140. Give u(357).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/402005 and 22\/185.\nAnswer: 402005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*v + 1245 = -2793 - 17217 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*b - 3*y, -5*y = -18509*b + 18514*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u + 33. What is the remainder when p(0) is divided by (-1 + 5 - 11)*18\/(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34450931*m - 74337342.\nAnswer: 34450931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -627 + 1771. What are the prime factors of h?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 392b0 - 4?\nAnswer: 392a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 11*n - 12. Suppose 0 = -529*z - 10018 + 3141. What is m(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 105*i**2 + 4*i - 3. Suppose -4*f = -2*f - p - 8, 0 = -2*p - 8. Let j be g(f). Let y = j + -132. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 10*r - r + 10*r - 12.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.5991 less than -7486?\nAnswer: -7447.4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 70. Let u be j(0). What is the highest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*u + i - 3 - 10, 7*i = 4*u - 65 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 50*l + 23. Let z be o(-12). Let t = z - -211. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5026804845566 from -0.3.\nAnswer: 5026804845565.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -51*x + 2. Let p(z) = -22*z + 1. Let c(n) = -j(n) + 2*p(n). Let y(h) = 94*h**2. Determine c(y(u)).\nAnswer: 658*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b = -2. Factor d**4 - d**2 - b*d - d + 2*d + d**3.\nAnswer: d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + m. Let d be b(0). Let l be 6\/((-3)\/2 - d). Let v be (-2)\/3*(-63)\/14. What is the second biggest value in -2\/21, v, l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275344?\nAnswer: 2, 3, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5493 is divided by 1804.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4))\/((-5)\/10*((-2704)\/(-39))\/(-16)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.76 - -0.86. Let u = 6 + s. Let i(b) = -37*b + 2. Let m be i(0). Put -1, u, m, 3 in decreasing order.\nAnswer: 3, m, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50557182 divided by 14?\nAnswer: -25278591\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-24)*r**(1\/5) assuming r is positive.\nAnswer: r**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 - -199.9288. Let s = 0.07 + u. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -103*o + 102*o. What is the highest common factor of 861 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k + 3*f, 2*f = -5*k + 4*f - 4. Suppose k*l - 4*q = -3*l - 41, -4*l = -4*q + 52. Let m = l + 91. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2170*b - 6. Let s(m) = 12*m + 2. Determine -3*s(f) - z(f).\nAnswer: -2206*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53670, -53711, -53778, -53871, -53990?\n\"Answer: -13*a**2 - 2*a - 53655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:13 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 less than 0.3?\nAnswer: -605.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74990.04 + 74990.37001416. Let g = x - 0.33. Round g to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 14291532.\nAnswer: -5\/7145766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose 3*q - 46 - v = 0. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 0 (b) 5 (c) -505\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 22. Suppose -a + 22 = 3*a - 2*g, -4*g + v = 3*a. Solve 0 = -3*p + a + 9, t + 4*p = 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-45)*10)\/((-41)\/123).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*p = 0, 0 = -4*b - p + 3*p + 12. Suppose b*w = 60 + 68. Calculate the smallest common multiple of w and (-4)\/(-14) + 608\/28.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2*g + 9*g)*(1 - 1 + 2*g**2) + 0*g**3 + 3*g**3 - g**3 + (-3 + 3 - 2*g**2)*(5*g - 4*g - 3*g) to r + c*g + n*g**3 + u*g**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (3 + sqrt(288) + 3)*-3 + -4)*-5)**2 + -3.\nAnswer: 37800*sqrt(2) + 75822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -264*n**2 + 3242*n - 3715. Give w(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-651)\/868 - (-30)\/(-8))*14?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -775878.2 to the nearest one hundred.\nAnswer: -775900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248259?\nAnswer: 3, 11, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 7\/9*f**3 - 1\/360*f**6 + 69*f**2 + 1\/8*f**4 - f + 0 - 1\/30*f**5. Let j(b) = 0. Calculate b.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 213 - 5?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49389\/6685 + -16\/1337. Find the common denominator of p and -44\/2581.\nAnswer: 12905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1004428031, -2008856064, -3013284097, -4017712130, -5022140163, -6026568196?\n\"Answer: -1004428033*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*d**4 + 39777*d**3 - d**2 + 144395047*d.\nAnswer: 1620*d**2 + 238662*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b - 2*b + 2*b - 5*b. Let u(x) = -3*x**2. What is o(u(t))?\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:07 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1 + (5 - 7). Suppose -5*k - 175 = -3*i + 5, -f*i - 3*k = -156. Let v be -4*(i\/(-20) - -4). Let c(d) = -2*d + 1. Calculate c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*y + 22*y + 13*y)*(-3*y**3 + 2*y**3 + 4*y**3) + 0*y**4 - 2*y + y**4 + y**4 to k*y**3 + f*y + t + o*y**2 + x*y**4 and give x.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033343 (base 5) in base 6?\nAnswer: -215113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/135, -2\/13, 2, 7\/2, -2\/11 in decreasing order.\nAnswer: 7\/2, 2, -2\/135, -2\/13, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26663 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + 36. Suppose 2*o - 145 = k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**2*w**2 - 11834*j**2*w - 23*j**2 + 4*j*w**2 + 2*j*w - 19*j - 22*w**2 + 21*w wrt j?\nAnswer: -14*w**2 - 23668*w - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1270 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffxffasxaa. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let o be (-5 - (0 - 4))\/(0 + 1). Let p be o*((-814)\/18 - 12\/(-54)). Calculate the greatest common factor of 90 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 0.3. Put -0.17, 1\/5, -3, h in descending order.\nAnswer: 1\/5, -0.17, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.515 + -1.5. Let k = b + -0.515. Let t = 0.32 - 0.12. What is the biggest value in t, k, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5705\/8 + 713. Let x = -0.8 + 0. Let p = 3.2 - x. Which is the biggest value? (a) u (b) p (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t. Let h(n) be the third derivative of 0 + 1\/24*n**4 + 0*n**3 - 2*n**2 + 0*n. Give h(j(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(55\/(-33)))\/(42\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13425 - -13424.5. Let y = 6 + -8. What is the closest to y in 1\/4, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 20 + 35 = -5*r, 15 = -3*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) - (128 - 131))*(-2)\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 19*k + 9. Let w(m) = m + 14. Let s be w(-10). Let n(v) = 2*v + 1. Let p(q) = s*x(q) - 36*n(q). Let b(f) = 40*f**2. Calculate p(b(j)).\nAnswer: 160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/12 + 3*y**2. Let m(j) = 2*j**2. Give m(d(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 221. Let p(d) = -102. Let i(b) = 6*m(b) + 13*p(b). Let t(c) be the first derivative of 5*c**3 - 4*c**3 + 0*c**3 + 2. Determine i(t(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {y: 2, h: 1, b: 7}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1502 divided by 2665\nAnswer: 1502\/2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1050*w - 35. Let y(u) = -116*u + 4. Let b(g) = 4*p(g) + 35*y(g). Let d(x) = -2*x. Give b(d(s)).\nAnswer: -280*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 66*w**2 + 43 - 82 - 2*w**3 as s*w + n*w**2 + m + p*w**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + (sqrt(68)*3 - sqrt(68)) + sqrt(68)))\/((sqrt(4) - (sqrt(1024)\/sqrt(4) + sqrt(4))) + sqrt(4)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -74.648?\nAnswer: -74.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 9. Let o(v) = 5. What is 3*d(f) - 5*o(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 6. Let g be 56\/5 + 3\/(-15). Let j(q) = -9*q + 31. Let r(a) = g*v(a) - 2*j(a). Let y be r(-3). What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9303*s + 186075. Give o(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 1 = 24*u. Let p be -2 + 3 + u + 2. Suppose -p*r + 0*g = -4*g, -4*r - 4*g = -12. Solve 3*v = -3*s + 24, 3 = v - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93921203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54728 is divided by 2583?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6027 divided by 147.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-16)*(2 - -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2707 and -0.71.\nAnswer: 1921.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 - 1*-1. Solve u = 2*h - 6 - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2304 - 13?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 687 + -114. Let c be (2\/(-1))\/(1\/167). Let p = q + c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4 - 1 - 2*n + 2*n + n. Let k(m) = -2. Let q(w) = -3*k(w) - 2*u(w). Let z(c) = 13*c**2 + 3*c. What is z(q(s))?\nAnswer: 52*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:06 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:12 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3663432 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 4453982.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97013360 and 11135.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -4. What is the closest to 2\/11 in -0.2, -2\/5, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59730 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Suppose 2*b = -l*b. Solve 0*j = j - 4*o - 20, b = -5*j + 3*o + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4478 != -4388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*v + v - 3, -3*v + 3 = 3*n. Let r = n + 3. Suppose -3*l + 41 = -r*a - 2*a, 0 = -3*l - 4*a + 32. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5 - 1256*r**4 + 2*r**3 + 1256*r**2 = 0.\nAnswer: -628, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 5)\/(9\/12). Let q(d) = -7*d - 2. What is q(v)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, -0.1258 in decreasing order.\nAnswer: 3, -0.1258, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(-9)\/6. Let y(h) = 2*h + 1. Let q be y(-1). Sort n, q, -2.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06882857 rounded to three dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q**2 - 14*q**2 - 33*q**2 - 3*q**2 + 0*q**2 + q**2 + (0*q + 3*q - 2*q)*(0*q + 0*q - q) - 172 + 172 + 329*q**2.\nAnswer: 296*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 13*u - 198. Let v be k(9). Let f = -1.774 + 1.474. Let g = 3 + 2. What is the nearest to v in -0.2, f, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119239 and -1646.\nAnswer: 196267394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8) - 4)\/(17\/34)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -35911.\nAnswer: 85\/35911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5 (b) 0.1 (c) 8 (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 4*a + 6. Let j = 2 - a. Find the first derivative of -2 - 2*f**3 + 2*f**j + 2*f**3 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 193697360*h - 1875933363548480.\nAnswer: -5*(h - 19369736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1126 or 1027510?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4152 + 305348.\nAnswer: 305348.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-317 + 172 + 144)\/(76\/(-74) + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/(((k\/(k\/(k\/(k**(-4\/7)\/k)))*k)\/k)\/k))\/k))\/k*k)\/(k*k**(1\/6)*k))\/(k**(-2\/13)*(((k**12\/k)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-4063\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 113. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -3 - (-3 + 1 + -1284). Suppose -4*j + u = -1862, -4*j + 576 + w = u. Suppose 204 = -k + 3*k + 4*o, -o = -5*k + j. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2. Let o(u) = 6*u - 47 - 39 + 127 - 41. Calculate g(o(w)).\nAnswer: 288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -42775?\nAnswer: 42775.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56317230 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 447 + -422. Suppose -97 = -6*y - v. Solve 2*r = -5*a + a - y, 9 = -5*a - 4*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*o**3 + 1454*o**3 + 329*o**3.\nAnswer: 1937*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.167*1.\nAnswer: 1.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261012855 to the nearest integer?\nAnswer: 16156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, -241, 955 in ascending order.\nAnswer: -241, 138, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 332*k**4 + 6420*k**3 + 36656*k**2 + 70080*k + 19712 = 0. Calculate k.\nAnswer: -11, -4, -28\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p, -3*p - 2*p = -3*f + 22. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/9)\/((-1)\/(-3)). Suppose -3*n = -5*s - 0 + 1, 0 = -s + 2. Let l = -4779 - -4778. Put n, l, m in descending order.\nAnswer: n, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 47*q + 135. Let b be x(3). Let l(c) be the first derivative of -1\/8*c**4 + 1\/4*c + 26 - 1\/2*c**2 + 5\/12*c**b. Suppose l(o) = 0. What is o?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-4 - 0) - -4. Suppose -u*b = 3*f + f - 10, -4*b = 4*f - 8. Suppose -w + f = 3*w. Is 1\/4 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42023651 (base 7) to base 10\nAnswer: 3535631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11204342 (base 5) in base 15?\nAnswer: 1ec17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2.7, 3\/4, -2\/3, 0.1, 34?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392 is divided by 615?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.130199 * 3\nAnswer: 6.390597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**4 - 161667*g**3 - 13*g**2 - 714*g + 269.\nAnswer: -312*g - 970002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q*z**3 + 70*q*z + 238387*q + 160*z wrt z?\nAnswer: -12*q*z**2 + 70*q + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2024404.4 and 1.8.\nAnswer: 3643927.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4142 + 2155255?\nAnswer: 2203441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/3)*(i**(-11\/5)\/i)\/i*i*i\/(i*(i**(1\/6)\/i)\/i)*i*i**(-2\/15) assuming i is positive.\nAnswer: i**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 - 0.58. Let w = z - 0.01. Which is the closest to -1? (a) -1 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 133.\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*y - 39. Let g be (-2)\/((-6)\/y) - 1. Let a = 20 - g. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29732020 to the nearest integer?\nAnswer: 5453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 33. Let c = -15 - z. Sort c, 2\/5, 1 in increasing order.\nAnswer: c, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3))\/sqrt(7) + sqrt(5) + -3 + 0)**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62537 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 - 23*d**2 - 11*d - 16. Let u be w(9). Differentiate -189*h + 490*h - 171*h - u wrt h.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6723*d**5 + 69489*d**4 - 107754*d**3 - 403092*d**2 + 1080*d = 0.\nAnswer: -5\/3, 0, 2\/747, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 81*v**2 + 83*v - 204. Let n be w(80). Suppose 0 = 4*f - 5*q - 95, -3*f - 5*q = -56 - 59. Calculate the highest common factor of f and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 9*f**2 + 19*f + 48. Let b be g(-7). Let c = 18 + -5. Is b less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 37*p**2 - 132*p + 16. Let w be l(-33). Let x(i) = -i**3 + 15*i**2 + 16*i + 18. Calculate x(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373768590.\nAnswer: 2, 3, 5, 13, 958381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*l + 34*l - 72*l)*(2 + 3 - 4 + (-2 + 2 + 2)*(-2 + 1 + 0) + 5 - 5 + 2 - 1 - 6 - 7).\nAnswer: -1144*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 649990 + -3249926\/5. Let 4\/5*b**4 + 0*b - 4\/5*b**3 + 0 - j*b**2 = 0. Calculate b.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -47563*x - 237995. Determine o(-5).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-25))\/(3\/10). Let k be g\/2 - (6 - 9). Suppose -k*j - 15 = -0*j. Let m(z) = z**2 + z - 4. What is m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(1125\/30)*((-50)\/12)\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 5*g)*(5 - 2 + 1) - 2*g + 3*g + 0*g - g + g + g + (3 + 1 - 6)*(3*g + 0*g - g) + 4 + 2*g - 4 - 1 + 1 + g + (2*g + 0*g - 4*g)*(1 - 1 + 2).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80 - 4205*w**2 - 2*w + 4280*w**2 + 2*w with respect to w.\nAnswer: 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -20052\nAnswer: 140364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*b + 62, q + 4*b + 0*b - 2 = 0. Suppose -y = -9 + q. Sort 5, -1, y in ascending order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649504183 divided by 2?\nAnswer: -649504183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/(f\/f**2)*f*f*f**(-5))**37\/(f*f**(-4\/11)*f*f*(f**(-1\/2)*f)\/f*f)**(1\/5) assuming f is positive.\nAnswer: f**(8071\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - i**2 + 5*i**4 - i**5 - 5 - 37*i + 0 - 7*i**3 + 95*i + 1 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -1 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 9*q - 15*q - 480 = 0 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -160, -57, 140, 461?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/(-8)*10\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35406, 70828, 106250, 141672, 177094?\n\"Answer: 35422*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46*2\/(-4)*-1 - 1. Let w = -180 + 290. Calculate the highest common factor of k and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011101 (base 2) in base 10?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -5*o = -25, -2*o + 7 = 2*g - 3. Solve -2 = -g*m + 4*m + 2*b, u*m = 2*b + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -647824 take away -0.3?\nAnswer: -647823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31758321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:48 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 826600?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2852 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2722 - 2794. Let u = -494 + 301. Let f = c - u. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0 + 0 + (2*r - r + r)*(1 + 1 + 0) + 4*r - 44 + 44 + (-2 + 2 - 1)*(-r - 3*r + 2*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 + 21. Let c be t(4). Let j = c + -80. Factor -6*v**3 + 6*v**5 + 2*v**2 + 2*v**5 - 6*v**5 - 2*v**4 + 9*v - j*v.\nAnswer: 2*v*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11\/2)*w)\/w**22)\/(w**(3\/2)\/w)**11 assuming w is positive.\nAnswer: w**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4565166*u**3 + 3*u**2 + 935557*u + 6.\nAnswer: -27390996*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -301517, -603406, -905295, -1207184, -1509073?\n\"Answer: -301889*m + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 260?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-35)*126\/(-36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, v: 5}. What is prob of picking 4 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -51. Solve n*m + 4 = -16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000321738 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-38)*(48\/18)\/(-4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - j**2 + j + 1. Let f be 7 + -3 + 1 + -1. Let v be n(f). Let c be (-1 + -1 - -1) + v. Calculate the highest common factor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g**2 - g**2 + g**2)*(g**2 - g**2 + 2*g**2) + 69*g**4 - 90*g**4 + 68*g**4 in the form b + l*g + r*g**4 + h*g**3 + f*g**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (63 - 27) - 690\/(-175)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**2 + 1280080*d - 2560176 = 0?\nAnswer: -320022, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25181?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787049 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 355914 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -2\/7, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 + 6351*i - 37998 = 0. What is i?\nAnswer: 6, 2111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g - 20. Suppose g*h = 6 + 34. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 8*g**2 + 2*g - 8*g**2 in the form h*g**2 + y*g + w + k*g**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 - x**4 + 5*x**3 + (2*x + x - 2*x)*(-1 - 2*x**3 + 1) + 17*x**3 + 39 - 42 + 38*x**4 - 33*x**4.\nAnswer: 2*x**4 + 17*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -12. Which is the third biggest value? (a) x (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 5*i**4 + 0*i**4)*(-2 - 2 + 2) - 2*i**4 + 7*i**4 - 3*i**4 + i**4 + i - i + 41*i**4 + 26*i**4 + 11*i**4 + 2*i**2.\nAnswer: 77*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -3, 1\/4, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 330, 845, 1704, 2907, 4454, 6345, 8580?\n\"Answer: 172*i**2 - i + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 171. Calculate o(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 14. Solve -3*r - 12 = -2*k - 1, 0 = -4*r + k - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j - 19 - 25 = 84*j + 40, -3*j = 3*h + 60 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:10 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 1. Let z be r(3). Calculate the highest common factor of z and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27738?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 508771, 509041, 509491, 510121, 510931, 511921?\n\"Answer: 90*i**2 + 508681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)\/sqrt(4) - sqrt(39) - sqrt(39)))\/sqrt(3).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 4, h: 1, a: 2}. What is prob of sequence ayya?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 3*r**3 + 12*r**3)*(2*r - 3*r - 3*r).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7*a - 600\/7 + 3\/7*a**2.\nAnswer: 3*(a - 20)*(a + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20219442 to the power of 1\/2, to the nearest integer?\nAnswer: 4497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-1)*120\/150*(-85)\/(-102).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2. Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2.2 in descending order.\nAnswer: 4, 3, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 2. Let w(h) = -2*h**2 - 3. Suppose 0 = 5*s - 0*s + 15. Give s*r(g) + 2*w(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 + -3861087?\nAnswer: -3861024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21*r + 23*r = 246, 5*r - 328 = -4*l. Let n = 423 + l. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - sqrt(76)*-2)*2)*-5*-5)\/((sqrt(4) + sqrt(28)\/sqrt(7))*5 + (sqrt(100) - -1*sqrt(100))) + -4.\nAnswer: -25*sqrt(19)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 2 + 0 + 1)*(2 - 1 - 5).\nAnswer: -20*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15333 is divided by 374.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 13*j + 12. Give b(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 48 = 2*z, -6*l + 2*l + 100 = -1232*z + 1227*z for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - (-9955)\/75. Suppose -3*p + 480 = -7*p. Let i = p + c. Find the common denominator of i and -1\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231 - -219. What are the prime factors of 444*(16\/s)\/(1*-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49113, 47235, 45357, 43479, 41601?\n\"Answer: -1878*c + 50991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 7*h - 54. Let i(f) = -f**3 + 5*f**2 + 5*f + 7. Give i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23970487.85 rounded to the nearest one hundred thousand?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59313837*i*w**2 + 29044464*w**2 wrt i?\nAnswer: 59313837*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 9182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (-2 - (-5 - (-1 - -3))). Calculate the greatest common divisor of h and 349.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4569356 and 4.\nAnswer: 4569356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241899 is divided by 1602.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532185?\nAnswer: 5, 306437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 35 - 62 = -5*y, -6*k = 3*y - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 41*v**2 + v**2 - 9*v**2 - 27*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13937, 110847, 373895, 886151, 1730685, 2990567, 4748867?\n\"Answer: 13845*f**3 - f**2 - 2*f + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -26. What is the second biggest value in 3, d, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 35, 27, 19, 11?\n\"Answer: -8*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 1065*z**2 - 75615*z - 1789555.\nAnswer: -5*(z + 71)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - p**3\/6 - 5*p**2 + p + 10. Suppose 0*i = 3*i. Let y be -1 + 0 - (i + -1). Give f(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130012 (base 4) to base 2.\nAnswer: -11100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -351 + 414.4. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 1. Let g be d(2). Let j(h) = h + 6. Let s = 31 + -33. Let x be j(s). Solve x*p + g*w + 18 = 0, 4*p + w + 12 = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3510 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddd when four letters picked without replacement from {h: 7, d: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = 56. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*b + 7*b = 0, -2*b = 0. Suppose c + 122 = 4*r - 103, -3*r - 3*c + 150 = u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63916.13 centimeters?\nAnswer: 639.1613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let x(y) be the third derivative of -y**4\/2 + 10*y**2. Calculate x(v(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from xrlrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9200829*b**3*w**3 + b**2*w**3 - 42*b*w**3 - 443*b + 18*w**3 wrt b?\nAnswer: -55204974*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0 + 1\/3*h**3 - 1\/10*h**5 + 1\/10*h**6 - 8*h - 1\/4*h**4 + 0*h**2. Factor d(z).\nAnswer: z*(z - 1)*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*y**2)*(664*y**2 - 999*y + 999*y) + (-2*y + 2*y - y)*(-2*y**3 - y**3 + y**3) to q*y**3 + z*y**4 + a + t*y + j*y**2 and give z.\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 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 l(x) = -32*x**3 + x - 1. Let b be l(-1). Suppose -41*w = -b*w. Solve 5*n + q + 29 = -w*q, 41 = -5*n - 4*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 26. Let t = -26 - -30. Suppose -4*r + 0*a = -2*a - 72, -5*a - 78 = -t*r. Does 8 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 4. Let n be (4 + -1)*(-2)\/(-3). Let d be 26\/8 - n\/8. What is the units digit of s(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2284502, 2284509, 2284516?\n\"Answer: 7*d + 2284495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t + 3*q = 18, q - 1 = 0. Suppose b + 416 = 3*n, -t*n = -b - 110 - 580. Does 49 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/147270 and 79\/220905.\nAnswer: 441810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(2\/(-6)). Is 10\/((-3)\/12*t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1000, -1010, -1054, -1150, -1316, -1570?\n\"Answer: -3*k**3 + k**2 + 8*k - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 33.336. Let b = -79 - -79.29. Let k = b + z. Round k to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/350154 and -16\/4260207.\nAnswer: 25561242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*h**3 - 278904*h - 240828933 wrt h.\nAnswer: 279*h**2 - 278904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196 - -320. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 1036348\nAnswer: -1036361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -11 - 25. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/831 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 37*c - 96. What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446 (base 11) in base 2?\nAnswer: 11101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611937279 to the power of 1\/3, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + 0*d + 0*d + (0*d**4 + 0*d**4 - 2*d**4)*(-d + 5 - 5) + 16*d**5 + 39*d**4 - 9*d**5 - 8*d**5.\nAnswer: 5*d**5 + 39*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/30)\/((-12)\/(-1312)). Let r = u - 287\/10. Calculate the common denominator of -43\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.31 - -0.79. Let p = 7.12 + -7. Let x = o + p. What is the closest to 2\/5 in x, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 652*r + 35 + 116*r - 14 + 1628*r.\nAnswer: 2396*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 163*m - 456. Give v(8).\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrjjfrrxfrzxzjx. Give prob of picking 1 r, 2 f, and 1 z.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 9. Let j = 2 + 3. Let p be i(j). Let a = 8 - p. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52801 (base 14) to base 4\nAnswer: 300213201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/64)\/((-3)\/48*9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 8*o + 7. Let r be f(3). Let w(n) be the third derivative of 0*n + 1\/3*n**r + 9*n**2 + 1\/6*n**3 + 0. Determine w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v + 4. Let a(d) = -5*d - 1. Let h be a(-2). What is the remainder when r(3) is divided by 16\/h - 4\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*3*(-11)\/99.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5650.81 and 156315?\nAnswer: 150664.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16838?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**3*z - 4*a**3 + 77*a**2*g**3*z + 1120*a*g**3*z - 3*a*g**2*z - 2*g**3 wrt a?\nAnswer: 60*a*z - 24*a + 154*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2. Let p(a) = 12*a - 5. Let z(w) = -12*w + 4. Let g(h) = -4*p(h) - 5*z(h). Give f(g(o)).\nAnswer: -864*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - 5*u**2 - 2*u - 3. List the prime factors of v(4).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-13*l - 3120*l**2 + 1560*l**2 - 39*l + 1560*l**2 - 267*l**5).\nAnswer: -267*l**5 - 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g + 8*g**2 - g**3 - 20*g in the form t*g + m*g**3 + h*g**2 + n and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 - 3*p + 3. Let u = -38 + 37. Let r(h) be the first derivative of 2*h**3\/3 + h + 1. Let n be r(u). What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 9) to base 15\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*l, 5*l = 2*z + 4 + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -718 - -718.00003318. Round l to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*t**2 + 1 - 29*t**2 - 6 - 2 wrt t?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i - 3*g, -3*g - 2*g = -i - 31. Let p be (-42)\/(-63) + (-8)\/i. Suppose k + 19 = p*k. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/60*((-6)\/2)\/15.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 + 30*d + 1. Let c be p(10). Suppose 33 = 4*u - 31. Suppose -3*x + u = -x. What is the highest common factor of c and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s - 11. Let l(g) = 2*g - 52 - 48 + 100. Let x(t) = -f(t) - 5*l(t). What is the first derivative of x(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -47. What is the third derivative of 6*d**5 + d**4 + 2*d**i + 209*d**2 - 235*d**2 wrt d?\nAnswer: 480*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -43 - (28 - 30 - (2 + -1))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(112) - (4 + sqrt(112)))**2*-4 - sqrt(112)) + sqrt(112))*-5.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-3\/8)*w**(-1\/11) assuming w is positive.\nAnswer: w**(113\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 14 = -x, -4*q - 308*x + 10 = -311*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63655049 is divided by 231.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2075 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**9\/504 + f**5\/20 - 2*f**2 + 2. Let p(r) be the second derivative of d(r). Find the third derivative of p(x) wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4466842 (base 10) in base 11?\nAnswer: -2581006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, h: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18962784.\nAnswer: 2, 3, 65843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.48 + 19.52. Which is the nearest to 0? (a) k (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 16. Suppose l*h - 7*h = -30. Suppose f = h*f - 10, -20 = -y - 2*f. Calculate the remainder when 29 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/11 + 20274*m**3\/11 - 1712974*m**2\/11 + 41576262*m\/11 - 214047288\/11 = 0?\nAnswer: 7, 39, 10052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160947 + -0.029.\nAnswer: -160947.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2180 and 240?\nAnswer: 26160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + -1 - (-14 - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 16 = p. Let x(v) = -65*v + 186*v + 1 - 65*v + p*v**2 - 57*v. Determine x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, x: 1, y: 2, a: 1, m: 1}. Give prob of sequence yy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:33 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483486*j**3 + 382992*j**3 - 689073*j**3 - 72*j.\nAnswer: -789567*j**3 - 72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 207.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let a(g) = g. Let m(i) = -4 + 4 + 1. Calculate w*a(s) - m(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 155*d + 171. What is the units digit of v(-71)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 334?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/34 + 36\/17. Let o(i) = 2*i**3 - i**2 + 2*i - 1. Let y be o(2). Suppose t - y = -z*t. Solve x = t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1517, 1990, 2781, 3890, 5317, 7062?\nAnswer: 9125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35004625 - 5?\nAnswer: 35004620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/15)\/h*h)\/(((h**(1\/3)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-10)\/16)\/(250\/(-200)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3330\/17 - -196. What is the closest to 2\/5 in -0.2, o, -1, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*p + 1228*p - 2108*p - 2476*p.\nAnswer: -3160*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*-2*sqrt(110) + sqrt(110) + (sqrt(110)*1*-4 - sqrt(110)))\/(sqrt(1440) - ((sqrt(1440) - -6*-1*sqrt(1440)) + sqrt(1440))).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 2822?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + -4. Let u = 45 + d. Is u at least 11\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 16) to base 15\nAnswer: 29e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -213*t**4 + 10218*t**3 - 163296*t**2 + 867840*t + 24576 = 0?\nAnswer: -2\/71, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -404 + 2215a?\nAnswer: 21a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2.3749?\nAnswer: 0.23749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*r - 4*r + 10, 20 = 3*r - b. Suppose 0 = -p + r - 0. Let o be -1 - ((-3)\/2)\/3. What is the smallest value in -0.4, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/77 - 700\/(-4466). Which is the biggest value? (a) 2\/3 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhh when three letters picked without replacement from maahaffffhafahffaf?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 4*i - 4. Let r(o) = 4*o**2 - 4*o - 5. Calculate -3*c(q) + 2*r(q).\nAnswer: -q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -87. Suppose -8*x = -o - 136. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 22834. Let u(a) = 24*a**2. What is k(u(c))?\nAnswer: -576*c**4 + 144*c**2 - 22834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - -2 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32271873?\nAnswer: 3, 10757291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 t, and 1 w when four letters picked without replacement from {l: 1, m: 1, w: 1, t: 2, u: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 1. Let l(i) = i**3 + 2*i**2 + 2*i + 5. Let t(h) = -l(h) - 6*r(h). What is t(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4110690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-17)\/2516*-37).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**4 - 15 + 0*x**5 + 53\/2*x**6 + 7\/3*x**3 + 0*x - 1\/2*x**2. What is the third derivative of u(r) wrt r?\nAnswer: 9540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514710 divided by -1330?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -71, 197, 717, 1573?\nAnswer: 2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-45) - -4)*(-11)\/(-11).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose a = z*a - 2. Calculate the remainder when 44 is divided by (3\/(-1))\/(a\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g + 16*g - 14*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138817327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -937.1339 - -937. Let s = -0.15524 - q. What is s rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 - 365.4. Let s be 5\/(-12)*(-153)\/170. Sort z, -1, s in decreasing order.\nAnswer: s, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86518215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1401, 4532, 17791, 38382, 66311, 101584, 144207, 194186?\n\"Answer: s**3 + 3657*s**2 - 5045*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r - 9. Let d(m) = 3*m + 2. Let h(j) = -9*d(j) - 2*o(j). Let z(y) = -2*y**2. Calculate z(h(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 55*p**2 - 56*p - 112. Let o = -911 + 857. Give g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlkx when four letters picked without replacement from xlxxk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210130 (base 4) to base 11.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*r + 6630 = 0, -5*l - 674 - 5980 = r. Let j = l - -1330. Determine w so that j*w**2 - 2\/3*w**5 + 0 + 0*w + 0*w**3 - 2*w**4 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002218 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 897, 898, 899?\n\"Answer: u + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210020 (base 3) to base 11.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1553311 (base 8) to base 5.\nAnswer: -103320301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (29\/4)\/(28*74\/(-8288))*1\/(-1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - -3187*1\/(-66). Let x = g + 830\/11. Let h = -715\/6 - -201\/2. Find the common denominator of x and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 14*v = -64. Let x = v - 11. Suppose 5*q = -5, 4*q = -x*y - 0*q + 116. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44363 is divided by 3696.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 - 7*m**2 - 107*m + 30. What are the prime factors of q(13)?\nAnswer: 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:34 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061194461 to the power of 1\/3, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let d = 1 - -1. Suppose -d = p - g, -4*p + 3*g - 2*g = -7. Calculate u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, a: 1, m: 2, q: 1, z: 1}. What is prob of sequence mg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26310, -11, 0.4 in descending order.\nAnswer: 26310, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441037681 divided by -2.\nAnswer: -441037681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1.976353.\nAnswer: -2.476353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -55?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -10. Let q be ((-4)\/k)\/((-1)\/(-5)). What is the units digit of (3 + -10)*q\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17) - 2814\/(-357) - 55\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001110 + 100?\nAnswer: 101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - 13. Let u = -85 + 138. Suppose -13 = 2*c - u. Let q = c - 20. What is k(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2\/3 (b) 55\/19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 399*n + 2372. Let k(y) = -y. What is l(k(p))?\nAnswer: -399*p + 2372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**20*(i*i*i**6\/i*i*i*i)\/i*(i**7)**(1\/10))**(-2\/17) assuming i is positive.\nAnswer: i**(-297\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55801010 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32279 and 271793.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1030159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from {q: 4, f: 16}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269700599?\nAnswer: 7, 23, 173, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 250 = 651 + 599. Is v greater than or equal to -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.52 + -36.48. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**2 + 4*q**3 - q**4 + 8*q**2 - 1 - q**4 - 21*q**2 - 2*q to the form m*q**2 + f*q + r*q**3 + d + i*q**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**6\/27 - 4*b**5\/45 + 4*b**3\/27 - b**2\/9 - 35. Factor m(u).\nAnswer: 2*u*(u - 1)**3*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 3*q**2 - 3*q + 5. What is the remainder when 24 is divided by k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 19*t + 2*d - 3955, 4*t - 2*d = 5292. Suppose 4*v + 5 = -0*v - 5*w, w + 10 = v. Suppose -v*n + 1574 = -t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.63 + 88.9. Which is smaller: 1\/18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1554 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107458190 minus -4497?\nAnswer: 107462687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -569, -853?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 2*u - 18. Suppose -43 = 6*f - 7. Let b be l(f). Suppose 9*s - b = 3*s. Solve 4*x + 3 + s = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10735507 is divided by 290.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20560 - -3?\nAnswer: -20555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3439 + 3439 - 5*l**3 + l**5 - 4*l**2)*((1 - 4 + 1)*(2 + 2 - 3) - 2 + 3 + 1 - 2 + 1 - 1 + 4 + 1 - 3 + (-1 - 2 + 1)*(-8 - 11 + 25) + 0 - 2 + 4).\nAnswer: -10*l**5 + 50*l**3 + 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 108 = 3*r, 2*r = 6*r - 16. Suppose j - 301 = -5*m. Let a = m - 19. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(16\/((-112)\/7)*((-315)\/9)\/(-7)).\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q**3*u + 14*q**2*u**2 + 4*q*u**2 - 370*u**2 wrt q?\nAnswer: -72*q*u + 28*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144962.\nAnswer: 2, 72481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*m + 341*m = 41. Which is smaller: -5.58 or m?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429114\/83 at most as big as 17218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65928, 131856, 197784?\nAnswer: 263712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y + 1. Let t be 2\/(-25) + 356\/325 + -1. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 23*a - 107. Let u(k) be the first derivative of k**4\/4 + 2*k**3 + 5*k**2\/2 + 3*k + 2. Calculate the remainder when u(-3) is divided by n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451758 by -440.\nAnswer: -225879\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00732952 rounded to four decimal places?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-9)\/6*1). Suppose -t*j = 4 - 14. Suppose q + 3*g - 24 = 0, 3*g - 4*g = j*q - 64. What is the remainder when 21 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3 - 10 - 7)*(-11*u**2 + 32*u**2 + 10*u**2) + 2*u**2 + 2*u**2 - u**2.\nAnswer: 437*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -162*l + 163*l - 2. Let q = l + 11. Suppose a = -5*v + 35, 3*a - 54 = v - q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30368024 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 224, 221, 216, 209, 200?\n\"Answer: -w**2 + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5240 - 3911.\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2934 and 79\/771968.\nAnswer: 6947712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwzszsqwwzwwqw. What is prob of picking 1 z, 2 q, and 1 w?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 948.9 - 948. Which is bigger: j or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1551*t**2 + 16*t**3 + 1551*t**2.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 49 (b) -1 (c) -28 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -528 (c) -12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 10)*((-10 - 1 + 1)*(0 + 0 - w) + 2*w - 3 + 3).\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21402, -20874, -20346, -19818, -19290, -18762?\nAnswer: -18234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, -5, -61, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(187\/(-44))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*p + 17, -2*w = -5*w - 5*p + 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 - 4) + -8 - -30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + (-6)\/8. Suppose 0 = 3*n - 1 - 5. Let c be 2\/52*n*-2. What is the nearest to 3 in c, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19484972 + 33864727. Let t = g - 14379746.999993. Let d = t + -8. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 - 7*f + 8. Suppose 0 = 3*n, -2*w + 3*n = -5 - 1. Let h = w + 3. Let s be t(h). Solve 2*g - s*v = 6, -4*v - 9 = 5*g - v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 2*x + 1. Let r be u(1). Let d(z) = -15*z - 1. Give d(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6419819367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 29 = 3*d + 2*d, -2*d - 10 = 0. Is 150\/y + (-3 - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(1\/29))**26 assuming g is positive.\nAnswer: g**(-13\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 7, b: 11}. What is prob of picking 2 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 498 + 500 = u, 3*d + 0*d + 2*u + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + 171. Let r(n) = n - 11 + 1 - 4*n. Calculate the smallest common multiple of r(g) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83404 is divided by 521?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**7\/84 + r**6\/30 - 3*r**5\/20 - r**4\/6 + 13*r**3\/12 - 3*r**2\/2 + 198*r. Factor c(b).\nAnswer: (b - 1)**3*(b + 2)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 4*s - 1. Let f = 22 - 19. Let m be q(f). Suppose 5*h = b - 19, 0 = -m*b - 2*h - 8 + 76. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + s - s + 4*s + 2*s - 4*s - 4*s + 0*s + 2*s + (5 - 4 - 2)*(2*s - 3*s + 0*s) - 34 + 34 + 26*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t - 200. Suppose -f + 6 = 2*f. Suppose r - 10 = k, f*r + 4*k = -8 + t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 0 + -5*sqrt(637)*1*5))**2.\nAnswer: -15750*sqrt(13) + 3583350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 2*r, 5*w + 10 = -0*w - 2*r. Let o(m) = -m**2 + 8*m - 8. Let n = 15 + -8. Let d be o(n). Sort -4, d, w.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/135 + 7*z**4\/18 + 76*z**3\/27 - 2*z**2 - 11*z. Factor y(w).\nAnswer: 4*(w + 2)*(w + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 28. Let n = f - 23. Does n = -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 3586575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112*b**3 + 1159*b**3 - 2272*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 23*g - 201. Is f(56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, -13, 78.\nAnswer: -13, -1, 3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75287.4g to nanograms.\nAnswer: 75287400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.9336 times -42.8\nAnswer: -39.95808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199443 - 102412. Round a to the nearest 1000.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6, 5*y - 6*p + p + 10 = 0. Let s be (12\/(-14))\/3 + 120\/175. Let k = 1544 - 1544. Which is the closest to s? (a) y (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794034.6 litres to millilitres.\nAnswer: 794034600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 38*v - 41. List the prime factors of f(4).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.245 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(40\/(-240)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*i + 4*f, 4*i = f - 4*f + 23. Suppose 0 = i*g - 46 - 14. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (4 + -1))\/(-1). Let c(g) = -12 + 2*g**2 - g**n + 0*g**2 + 10 + 2*g. Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.3 (b) 5\/2 (c) 1 (d) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l + 12*l + 1 - 13*l + (-l + 2*l + 0*l)*(-2 - 3 + 4) + 2 - 2 - 8*l.\nAnswer: -19*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**4 - 804871*p**3 - p**2 - p + 1508337?\nAnswer: -24*p - 4829226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**2 - 11*r + 34. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (231\/(-308))\/(6\/(-44))*2. Let g(t) = -119*t**3 - 11. Let z(m) = 24*m**3 + 2. Calculate x*z(u) + 2*g(u).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1356928 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1018 - 6*n - 1019 - 6*n + 2038. Let u(k) = k + 1 + k - 1. Determine u(y(m)).\nAnswer: -24*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10765, 20629, 30493?\n\"Answer: 9864*i + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202 + -17?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10*(-5)\/15. What is the nearest to z in -2, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*s + 131 - 111, -5*s = -3*r - 20. Let h(x) be the first derivative of -19\/2*x**2 - 4*x**3 - 10 + r*x. Find the second derivative of h(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.5 + -34.7. Which is smaller: s or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000)*-2 - sqrt(1000))*-5 + sqrt(1000) + -2*-2*sqrt(1000))\/((-5*sqrt(5)*-2 - 2*sqrt(5)*-6)*1).\nAnswer: 100*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 99 = -4*x, 2*x + 2380 = -4*z + 2412 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - 3) - (0 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 84*r + 83*r + 4*r.\nAnswer: r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 13) to base 2.\nAnswer: 101000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4697.99995379 - -4698. What is z rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 23. Suppose g*a = 2*a + 611. Let j = a + 32. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 164. Calculate the remainder when w is divided by 1\/((-4)\/(-42 + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11746344, 1\/2, 5, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t - 4 = 0. Let s be 1 + 1\/(-1) + (t - -4). Suppose -s*w + 360 = -0*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(8\/(-6) + 1). Let r(q) = q**2 - 7*q - 6. What is the tens digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 + 234.9668. Let v = a + 0.033993. Round v to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4585 + 4882. Calculate the smallest common multiple of 33 and l.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 534, 533, 532, 531, 530?\n\"Answer: -k + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 61739369?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*w + 4*j, w - 4*j - 2 = 3*w. Let o = w + 6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/432 and -35\/3456.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 10*z. Let n(l) = 12*l**3 - 8*l**3 - 9*l**3 + l**2 + 10*l. Let j(h) = 5*n(h) + 6*t(h). Factor j(g).\nAnswer: 5*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 39. Calculate g(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**3*d))\/(d\/(d**(-13)\/d)))\/((d*d**(-13))\/(d**(-3)*d)) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 15*d + 11*d + (-d - 4*d - d)*(3 + 2 - 4) as p + w*d and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2572 (base 15) to base 9.\nAnswer: -11848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -7*a + 11*a. Suppose 0 = -35*i + a*i + 8. Are 2 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = -4*q, 0 = q - w + 3. Sort 1, q, -16 in increasing order.\nAnswer: -16, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/21))**32 assuming r is positive.\nAnswer: r**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/30 - 70*c**2. Let n(p) = -23*p. Give h(n(u)).\nAnswer: 1058*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -89*i - 16. Is m(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 78, -7366 in ascending order.\nAnswer: -7366, 2, 21, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 840 + -547c3?\nAnswer: -53e83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 6*r**2 + 17*r**2.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(288)*-2 + 5)*-1 + 5))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -3\/4, -11, 1, 114600?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 0 - -9) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeueeoeueeouoo. Give prob of sequence ouue.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 15}. What is prob of picking 2 m and 1 d?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 2. Determine y(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let j(c) = c + 26. Calculate -5*h(l) + j(l).\nAnswer: l + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 + 84*n + 105*n + 81*n + 85*n - 355*n.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.635 - -35.335. What is the closest to -10 in 2\/13, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 8 + 38. Suppose -2*r + h*t + 7 = 5*t, -3*t - 2 = r. Solve 0 = -5*g - r - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 5:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/20565 and -61\/1005.\nAnswer: 1377855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215394178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7496 > -7496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhhwbhhhjjnhjhan. What is prob of picking 1 n and 1 a?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) - 140\/(-42). Let s(c) = -57*c + 26*c + 2*c**k + 31*c. Let h(g) = -35*g. Give s(h(m)).\nAnswer: 2450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d + 3. Suppose o = d*y - 997, 4*y - o + 6*o = 815. Is y a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 = -h, 50*h = 5*m + 47*h + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 2 - 2 - 6*s + 0 - 2*s**2.\nAnswer: -2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - 4484\/(-13338)*18.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06940138 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001058 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 - 33*r\/2 - 36.\nAnswer: 3*(r - 24)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 27, 0, 1718, 1, -1 in descending order.\nAnswer: 1718, 27, 4, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6577409 millennia to centuries.\nAnswer: 6.577409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 498, 496, 492, 486, 478?\n\"Answer: -v**2 + v + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - 1\/(-2). Let g(k) = k**2 - k + 5. Let v be g(p). Solve -2*o + o - 1 = 0, 4*n + v*o = -21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8036.7 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5077, -19986, -44829, -79600, -124293, -178902, -243421, -317844?\n\"Answer: o**3 - 4973*o**2 + 3*o - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.3. Let m = 129 + -388\/3. Which is the nearest to -1\/5? (a) j (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 2635*j + 174586. Calculate m(-70).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 2389687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l = -73*l + 2281 - 705 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -77286 divided by 4\nAnswer: -38643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 415*c - 815. What is the smallest common multiple of w(2) and 1665?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 10 = 15*s. Suppose 0 = g - 3, 0 = -s*n - g + 3 - 0. Solve -3*u + u - 3*d + 6 = n, 3 = 3*u + 3*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0 + -5 - (sqrt(24)\/(sqrt(12)*-2 + sqrt(12)) - sqrt(2) - sqrt(2) - sqrt(2)))**2.\nAnswer: -50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67963.2977 + 67955. Let g = w - 0.0223. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-1985)\/20)\/((-5)\/60). Let j = 832 - v. What is j rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 100002121022220 (base 3) to base 4.\nAnswer: 102130032333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 - y + 10. Suppose -5*s = 32 - 2. What is the units digit of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22371026 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.5 in -1\/3, -3, 25\/2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 109.939. Let l = 0.061 - j. Which is the nearest to l? (a) 5 (b) -2\/13 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*z**3 - 506*z**2 + 628*z + 622?\nAnswer: 66*z - 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 384 = 449. Suppose -17 - 1 = -3*b. Is 17 a factor of (b\/(-2))\/(7\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) -5 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-9)\/((-189)\/(-28))). Is 44 - (-3 - -2) - (1 + g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 - 440.31. Round u to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-45)\/(-189))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 19*d**2 + 3*d + 45. Give c(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -105, 2 in descending order.\nAnswer: 4, 3, 2, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91.2 and 56.\nAnswer: 5107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let r be t(-1). Suppose 0 = r*y - 4*v - 336, 5*v - v - 144 = -y. Let b be 80\/6*4*(-18)\/(-15). What is the highest common divisor of y and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(62\/(9672\/(-117))))\/(-86)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2. Let j be x(5). Let u = -6\/31 + 164\/527. Is j greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 7999 = 131*a + 10713 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28a (base 11) to base 8\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -18. Which is the closest to 1\/4? (a) 5 (b) -1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 m when three letters picked without replacement from yrvmvzvyryvfvr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 136022 * -0.22\nAnswer: -29924.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -306, -558, 12 in increasing order.\nAnswer: -558, -306, -1.8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 6. Let n(g) = -2*g + 11. Let r be n(6). Put v, -3, r in increasing order.\nAnswer: v, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 74329, 74310, 74267, 74188, 74061, 73874?\n\"Answer: -2*w**3 - 5*w + 74336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -18. Let t be (-1)\/(u - 40\/(-12)). Is 2\/(15\/(-335)*2\/t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*w - 2735 + 782, 3*w = 4*u - 2597. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 2. Let m(b) = -3*b - 5. Let i(h) = 5*l(h) + 2*m(h). Let y(g) = -2*g**2 - 19 - 12 + 31. Calculate i(y(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*p**2*x**3 - 3945*f**3*p**2*x**2 + 369*f**3*p*x**2 - 3*f**3*x**3 + 2*f**3*x - 2*f*x wrt p?\nAnswer: 2*f**3*x**3 - 7890*f**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, h: 3}. What is prob of sequence hlh?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/10 + (-60)\/(-8). Suppose 3*f = 8 + t. Suppose q = -4*z + f*q + 16, -3*z - 16 = 4*q. Which is smaller: 4\/21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2635a5 - 9?\nAnswer: 26359b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 118*k + 122*k + 123*k - 349*k + 38. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30014211 (base 5) to base 11\nAnswer: -150a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56426061 (base 7) to base 10\nAnswer: -4897740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2 - l. Let o(n) = 494*n**3 + 741*n**2 - 741*n. What is o(p) - 741*y(p)?\nAnswer: -247*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u - 1\/4*u**2 - 9.\nAnswer: -(u + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996 by 100953.\nAnswer: -332\/33651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3*1 + -2. Let c be 2 - ((-10)\/(-2) + -7). Suppose -c*o + 14*o = 30. Put a, o, 5 in ascending order.\nAnswer: a, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + 4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 7 - 1445\/(-255). Which is the third biggest value? (a) z (b) -0.1 (c) -7 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 6*s + 26. Let f be r(-5). Suppose -f*v + 46 + 44 = 0. What is the remainder when 40 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = 0. Suppose -v = -0 - 5, -3*a - 3*v + 18 = j. Let n(s) = 5*s - 10. Let w be n(2). Which is bigger: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34718009\/6 or 5786335?\nAnswer: 5786335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, 167, 5, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -526*f - 1. Let k(x) = -537*x - 1. Determine 3*k(p) - 4*v(p).\nAnswer: 493*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19656)\/(-66) - 4\/(-22). Suppose 0 = -5*m + h + p, -m - 3*m + 224 = 4*h. Calculate the remainder when m is divided by (-244)\/(-12) - 2\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 49 = 2*b - 3*b, -187 = -4*b + v. Let c = 230 + -230. Suppose f + u = 4, -b = -5*f + 4*u - c*u. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 15, 13?\n\"Answer: -2*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + 5 + -2 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112200 divided by 110\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6)*(4 - 1). Suppose -388 = -4*x - 4*q, -x + 83 + 16 = 3*q. Let n = x + -80. Solve 5*b - n = -m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 10\/11, -389, -1, -0.1, -2\/11, 3?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 506, 981, 1470, 1979, 2514?\n\"Answer: t**3 + t**2 + 465*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 3*i - 4, -4*w = 2*i - 76. Suppose -s = 2*s - w. Let p = s + 5. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, -2*p = -4*t + 2*t - 28. Suppose 2*z = 4*z + p. Let g = 7 + z. Solve -4*u + 2*u + 10 = g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.6557 + -0.3443. Which is the closest to 1\/5? (a) 0.1 (b) -2\/3 (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1339686*b**3 - 3*b + 83021 wrt b?\nAnswer: 8038116*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16197, -16281, -16401, -16551, -16725, -16917?\nAnswer: -17121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*n - 51*n - 596*n - 502*n - 44824 = 0 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*v**2 + 89*v**2 - 70*v**2 + 142*v**2 as q*v + m*v**2 + z and give m.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q. Suppose 3*b - w + 0*w - 22 = q, -6 = b - 3*w. Suppose -5*p = 20 - 65. What is the smallest common multiple of b and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1659.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47513*a + 133*a**2 - 95002*a + 47489*a.\nAnswer: 133*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -541 - 534 + 1618 - 3*a + 4*a**3 - 542. Give o(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 9\/4. Let i be 9\/(-6) + k - 2. Let m = -0.5 - 2.5. Which is the nearest to 2\/3? (a) i (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dzjwjd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**3\/3 - c**2\/2 + 82. Let m(a) = -6*a**2 + 8*a. Calculate -m(w) - 10*z(w).\nAnswer: -4*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 20. Suppose -4*z = -7*z + 9. Calculate the remainder when i is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -0*f - 144. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.083 - 0.082994992. What is l rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-41155)\/(-35))\/(6\/42).\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -131, -210, -297?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 7548.797 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 780*d + 778.\nAnswer: 2*(d - 389)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75483806.\nAnswer: 2, 2903, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1543, 1 in increasing order.\nAnswer: -1543, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-28)*(2\/4)\/(8\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = 0. Suppose -5*p = -i + 50. Let g = -6 - p. Sort g, 1, -4 in decreasing order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 13. Let k be b(8). Suppose w + 1951 = k*d + d, -4*d = 3*w - 1939. Is d 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 -169, -178, -187, -196, -205?\n\"Answer: -9*g - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -65*t - 161. What is j(3)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/336 + 9*h**6\/40 - 29*h**5\/30 - 2*h**2 - 3*h. Find the third derivative of a(n) wrt n.\nAnswer: -60*n**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.4 (b) 2092 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2803\/15 + -931\/5. Put r, -0.2, 0.3, 3\/11, 0.2 in ascending order.\nAnswer: -0.2, 0.2, 3\/11, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 13*y**2 - 126*y - 1021. What is m(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -7, -18 in increasing order.\nAnswer: -18, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818727?\nAnswer: 3, 7, 13, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37398400417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 2*p**2 + 2*p + 1. Let q be j(-2). Sort 3, -2, q in descending order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5\/5 + 36*f**4 - 1348*f**3\/5 - 36276*f**2\/5 + 7488*f = 0.\nAnswer: -48, -13, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 2*s**2 + 2 - s**2 + s**2. Let u be 1\/(-9) + (-78)\/27 - -1. Give t(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 761517\/70 + -10879. Find the common denominator of -7\/130 and t.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 0 + 32 + -2 + 15 + -13.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z + 53*z = 115*z - 31 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5718584 divided by -42676?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 + 11 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Find g such that g**2 - 3*g**s - 7*g**2 - 13*g**3 + 22*g**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4148006 years?\nAnswer: 0.0004148006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 8*o + 2. Let v(u) = 0 + 1 + 5*u - 6*u. Let i be v(8). List the prime factors of h(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))**28)**(5\/8) assuming i is positive.\nAnswer: i**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 - 1872\/7. Which is the closest to 0? (a) 0.5 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 7006.\nAnswer: 3\/3503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 9)*314\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44406212077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/265 and -23.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5\/4 (b) 23 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69062*i**3 + 5*i**2 - 69055*i**3 - 5*i**2.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 9*m - 211. Let f be c(14). What is the highest common factor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1215625 and 19125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -282*z**2. Let j(s) be the second derivative of 11*s**3\/6 - 98*s + 4. Give j(k(y)).\nAnswer: -3102*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29543 is divided by 3412?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5909815 and 4.\nAnswer: -23639260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - 1 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 17.5. Which is the third smallest value? (a) -1 (b) j (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8067*w - 8071*w - 64 to h*w + q and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -33 - (-13 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, -2 in ascending order.\nAnswer: -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:40 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 270450 to the nearest 1000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49381572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*l - 28*l - 4289*l**5 + 209*l**5 - 86*l + 79*l wrt l.\nAnswer: -81600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**0)*l**(2\/13)*((l**(2\/7)\/l*l)\/l)\/l**4 assuming l is positive.\nAnswer: l**(-415\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -888 - -4*3\/(-4). What is the hundreds digit of i\/(-6) - (-30)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76494 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12034285\/8090074 + -10\/51203. Let a = 1\/79 + f. Factor -1\/2*h**2 - 1 - a*h.\nAnswer: -(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1 + sqrt(204))*-4 + sqrt(204))\/((-1*sqrt(144) - sqrt(144))\/sqrt(12)) + -5.\nAnswer: -5 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h**2 - 674 - 674 - 650 + 2021 + h in the form s*h**2 + w*h + b and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2555 = o - 3*b, 3620 = 3*o + 2*b - 4078. What are the prime factors of o?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98\/(-21) - 0 - -5. Solve g*t**4 - 2\/3*t**3 + 1\/3*t**2 + 0*t + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*j = -118*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 3:21 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/12 - 2*f**3\/3 + 2*f**2. Let l be a(3). Solve -5*n = l*i - 10, -n + 3*i = -0 + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 2. Suppose 3*y - z = -0*y + 2, 4*z + 8 = 5*y. Suppose y = h + 21 - 7. Let t be (-12)\/(-5) + h\/35. Give s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a1 (base 11) to base 8.\nAnswer: 6271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 332*b - 2720. Is z(10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1034*r**2 + 1128. Let w(y) = -86*y**2 - 94. Let q(v) = -4*f(v) - 47*w(v). What is the derivative of q(a) wrt a?\nAnswer: -188*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**4 - 5108*d**3 - d**2 + 68993?\nAnswer: 4*d**3 - 15324*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - o - 53 = 0, 10*h - 9*h + 4*o - 26 = 0. What is the lowest common multiple of h and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147336285 - -4?\nAnswer: 147336289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*x + 22 = 1969*x - 6*p, 0 = -5*x + 38*p + 109 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -17) + -2 + 1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 688\/(-56)*(-14)\/4. Suppose 42*u = z*u - 2. Solve -n + 3 = u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-8)*24\/(-13 - -7). Is x greater than -39\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -190 - 100. Suppose -72 = -s*r + 18. Calculate the highest common factor of 45 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9343 + -9335. Suppose -2*h - 5*x = -20, h - 6*h + 2*x + 21 = 0. Solve 3*m = h*m + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 70. Let q = k - 38. Let h(t) = -16749*t + 8. Let f be h(q). What is f rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 55 = 2*g, -g = -5*g - 5*u + 89. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -78.39 (b) -3.82 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - -78) + 0 + -2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*x - 4, m - 3*m = 4*x - 4. Solve m*g = -5*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)\/y**(-2\/9))\/(y**0)**30)\/(y**1*y\/(y\/(y\/((y**(-1\/3)\/y)\/y)))*y**4*y*y**(-2\/9)) assuming y is positive.\nAnswer: y**(-578\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 0*c**2 - 3 + 0*c**5 + 0*c + 1\/3*c**6 + 2\/3*c**3 + 0*c**4. What is the third derivative of n(d) wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.3, 5, -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10730682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ccccqqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 51 = 7*f, 201*s = 2*f + 199*s + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 13*k + 9. Let t(v) = v + 6. Let z be t(-14). Is g(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 4, k: 1, s: 1, w: 2}. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.24. Let x(k) = k**2 - 24*k - 45. Let l be x(13). Let y = 193 + l. Which is the closest to -0.1? (a) 0.3 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1590 + 3243. Let k be (6\/s)\/(1\/(-3)). Let d = -1036\/10203 + k. Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*l + 703*l - 2094*l + 708*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 41035430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 3. Let u be f(-14). Solve -5*a + 8 + u = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1872 by -52.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 0, 0 = -4*o - 8*s + 10*s + 14. Let x(r) = 0*r**o - 59*r - r**2 + 60*r. Suppose -23 = -5*y - 2*u, 0 = -5*y - 3*u + 16 + 11. Give x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-1596)\/90)\/(-7). Let f = 1\/15 - o. Calculate the common denominator of f and -83\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 p when four letters picked without replacement from {c: 4, g: 1, e: 4, u: 1, p: 1, y: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let g = 64 + -65. Let v(t) = -4. Calculate g*v(j) + 3*w(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-6)*1*3\/(-2). Solve 22 = -h*x + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*y - 9*y. Let a(l) = -l - 4. Let r be a(y). Suppose 3*b - 9 = z, -r*z - 4*b + 9 = -23. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383.040336 - -0.045807.\nAnswer: -382.994529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4007187, 4007178, 4007169, 4007160, 4007151, 4007142?\n\"Answer: -9*w + 4007196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.04 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 16216?\nAnswer: -16211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d + 1. Which is smaller: -1\/6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 1. Let f(j) = -j + 8 + 1 - 10 + 0 - j. Calculate 2*f(p) - 3*m(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 6. Let b(q) = -1076*q - 34. What is b(i) + 6*f(i)?\nAnswer: -1082*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 10. Let k be c(7). Let l be (k + 0)*(-3)\/6. Let f = 0 - l. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 8. Let x = 26 - j. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*w - 9660, w - 2*a + 3*a = 3224. What are the prime factors of w?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6686 (base 16) in base 5?\nAnswer: -1314441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:05 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1054961, 2109921, 3164881, 4219841, 5274801?\n\"Answer: 1054960*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 - 25*f + 29. Let r be n(-6). Which is the nearest to r? (a) 4 (b) 7\/2 (c) 0 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0174 minus 13?\nAnswer: -13.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 55636928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.7. Let h = -53.6 - -71. Let v = h - 17. Put 2, v, s in increasing order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*z - 3. Which is the nearest to 2? (a) z (b) -2\/33 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 5) to base 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 + 207522*w\/5 - 1244952 = 0. What is w?\nAnswer: 30, 207492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -1248 (c) 2\/11 (d) -0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*q = -26, 15 = 5*u - 4*q - 0*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 122?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 1107*r**2 - 257847*r - 258955.\nAnswer: -(r - 773)*(r - 335)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9*i**2 - 3 + 4.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-5 + 2 - -4) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7275 and 20765275?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1725 and 110745?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20572116 and 3516.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -10.79. Let c = t - -2.19. Let m = c - -0.02. What is the third smallest value in 0.4, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 - 4*l**2 + l + 1. Calculate the lowest common multiple of k(-8) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-49) + 458\/14. Suppose 0 = z + 5, 2*j - 5*z - p = -2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 1917458?\nAnswer: 224342586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 3*u**2 - 2*u + 3. Give l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.279065\nAnswer: 0.0167439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h - 64. Give a(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 60*d**2 - 24*d - 1 + 0.\nAnswer: -60*d**2 - 24*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 3*w = 29, -4*w = -p + 50. Let t = -21 + p. Solve -r - 2*s = -6*s - t, -17 = -4*r - s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40990219?\nAnswer: 199, 205981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3 - 413. Suppose -8*s = -6*s - z. Let a = 89 - s. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44064113 is divided by 5508013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*i**3*p**3 + 2*i**3*p**2 - 52602*i**3*p - 750*i*p**3 wrt p.\nAnswer: -276*i**3 - 4500*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406288617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19355273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 + -278.74. Let x = 1.5 + k. What is the biggest value in 4\/5, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1298*y**3 - 6*y**2 - 6*y. Let r be ((-32)\/(-8))\/(4\/3). Suppose -47 = -r*n - 59. Let a be q(n). Round a to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 34758703?\nAnswer: -17379351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 8. Let y(n) = 2*n**2 - 3. Suppose -89 + 61 = 7*k. What is k*l(t) + 11*y(t)?\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 19*r - 11 + 24*r + 4*r + 51. Let p be a(-7). Let n = p + 565. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 4*l**4 + 2*l**2)*((l + 0*l + 0*l)*(-871 - 892 - 1068) - l + l + 2*l).\nAnswer: 11316*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u - 54. What is the hundreds digit of x(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329479 not equal to -329479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 2\/1191, 4, 5, -10\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -67, -184, -439, -886, -1579?\nAnswer: -2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677026 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -257 - -261. Let x(b) be the second derivative of 0*b**3 - 3*b + 0 + 1\/6*b**2 - 1\/36*b**c. Factor x(z).\nAnswer: -(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((308\/(-55))\/(-14))*-1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 14\/3*n**3 + 0 + 20\/3*n**2 + 2\/3*n**4 + 0*n = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 8 - (0 - -9 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + 3\/6. Suppose -m + s = -4. Suppose 5*k - 2*k = m*q - 78, 20 = 5*k. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 9. Let n be g(5). Suppose 4*h - n = -25. Let s be (3 - (-14)\/h)*6. Is s less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l - l)*(35*l**3 - 7*l**3 - 2*l**3 + (-2*l**3 + 0*l**3 + 4*l**3)*(-4 + 3 + 2)).\nAnswer: 56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 14*f + 23. Let c be l(-12). Let k be (8 + (c - 1))*(-380)\/(-12). Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(92\/(-20) - -4). Suppose -u = u + 2. Put q, u, 1, 9 in ascending order.\nAnswer: q, u, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**3 + 2*z**2 - z. Let b(p) = 6*p**3 - 3*p**2 + p. Suppose -3*x + 14 = -y + 19, 14 = 2*x - 5*y. Determine x*k(m) - 2*b(m).\nAnswer: 6*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5313 and 7245?\nAnswer: 79695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -123, -254, -387, -522?\n\"Answer: -o**2 - 128*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 158 = 4*d + 8*z, -2*d - 5*z + 74 = 0. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8278.082 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -7)*(19 - 6 - 14). Let d(i) = -15*i - 18. Give d(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3 - 44*z**2 + 56*z + 320 = 0.\nAnswer: -2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/330184 - 2538702215\/990552. Let n = o + 2565. Let b = -119349\/14 + 8520. Find the common denominator of b and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 5\/((-15)\/42). Let r be 6\/4 - (-56)\/q. Suppose -r*p + 8 = -57. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889769694 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 2. Let v(d) = -d**3 - 11*d**2 - 7*d + 20. Let a be v(-10). What is the units digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a**(-9)\/a))*a)\/a)\/a**(11\/2))**(-6\/13) assuming a is positive.\nAnswer: a**(87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k**2 + 45*k - 72. Let l be r(-49). What is the highest common factor of l and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 13*r = r + 3*v - 44, -68 = -3*r - 8*v + 3*v for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99959*s + 101021*s = 40356 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*v = 4*g + 259*v - 44, 0 = 2*g + 4*v + 44 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from pppff.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211 - 485 - 43)*(-17*t**2 + 13*t**2 + 6*t**2).\nAnswer: -1478*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5048, 5049, 5050, 5051, 5052, 5053?\n\"Answer: m + 5047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u - 2. Let l be g(-5). Suppose 4*s = 5*t - 0*s - 14, 2*s - 8 = -5*t. Let r(p) = 5 + 0 - 3 + t*p. Calculate r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c**5 + 21*c + 14*c**5 - 2*c**5 + c**4 - 2*c**2 + 7*c**6 wrt c?\nAnswer: 840*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 32 - 4. Let k = d - -30. Solve 3 = u + k*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1827 and 1764.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = o + 103, o - 121*r - 116*r = -235*r - 73 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c - 10. Let z(f) = -21*f + 8. Give 3*w(j) + 2*z(j).\nAnswer: 15*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, -68, -87, -7\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 0*w + 6*w)*(-w + 0*w + 3*w)*(-27 - 38 + 44) in the form k*w**2 + z + f*w and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(60)*-1 + sqrt(15))) + sqrt(15) - -2*sqrt(540))\/(sqrt(132)\/sqrt(11) - sqrt(6)\/sqrt(2)*6).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135*j**3 - 2*j**2 + 185*j + 170036?\nAnswer: -405*j**2 - 4*j + 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.9688 - -0.02.\nAnswer: 5.9888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Suppose -28 = 6*u - 46. Solve -u*f + 4*m = f + 24, -f + 12 = b*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 2*y - 1. What is the remainder when z(-4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 48, 100, 162, 228, 292, 348?\n\"Answer: -s**3 + 14*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100010 - 11000000111?\nAnswer: -10000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 + 455*h**3 + 1955*h**2 - 5255*h + 2850 = 0.\nAnswer: -6, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*-1))**2 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/120 + o**5\/6 + o**4\/2 - 11*o**3\/6 - 2*o**2. Let b be g(11). Is b at most -1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + (12 - 4) + 3274 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 2*m**2 + 6*m + 5. Let o(a) = 9*a**3 - 3*a**2 + 11*a + 10. Let p(w) = -6*o(w) + 11*t(w). Suppose 97 = 63*v - 40 - 115. Give p(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*v + 4*h, -v = -2*v + 5*h + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from {a: 5, v: 2, h: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 4, -3782, 0.1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 123304049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2\/27, 0.2, 4, -2, -9279\/5?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18688 divided by -9344\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose 0 = 3*z - z, -3*g = -z - 6. Solve r = -u + 2 + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -46. What is the remainder when 17 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuuiiiuiiiiiu. Give prob of picking 1 u and 3 i.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*i**4*n**2 + 14*i**3*n**2 + 1137*n**2 wrt i?\nAnswer: 268*i**3*n**2 + 42*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480 is divided by 2218.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 31*i**2 + i + 2. Determine a(31).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740678 and 2587?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15036 - -24636. What is q rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.24 + -3.34. Which is smaller: -444 or i?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6595, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) + 130\/195*24\/2. Solve 15*d - 13*d = v + 15, -3*v - u*d + 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/16*(-976)\/(-1281))\/((-9)\/(4455\/20))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6433\/9 + 715. What is the nearest to 2\/3 in q, -6\/23, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -21\nAnswer: 44\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2878185 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 118\/295 - 16726\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1221642350*i. Let w(v) = -v**2. Calculate w(c(s)).\nAnswer: -1492410031313522500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*r + 86 - 86)*(558 - 558 + 42*r) to the form z*r**2 + u*r + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*i + 26 = 0, 4*w - 4*i - 72 = -0*i. What is the smallest common multiple of 2 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let k(y) = -y - 6. Let f be k(-12). Let a(c) = -6*c + f*c + 3*c. What is a(s(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) + 2*sqrt(196) - sqrt(196)) + -4*(sqrt(196) + sqrt(49)) + sqrt(49))\/(5*(-2*sqrt(567) - sqrt(567))).\nAnswer: 7*sqrt(7)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945507 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**3*p**2*y - 3*i**3*p**2 - i**3*p*y**3 - i**2*p**2*y**2 + 3*i**2*y + 6*i*p**2*y**3 + 2*i*p*y**3 wrt i.\nAnswer: 84*p**2*y - 18*p**2 - 6*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 - 591*h + 4116.\nAnswer: 3*(h - 1372)*(h - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 14) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 355.\nAnswer: -42\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 3*s. Let o(g) = 3*g + 0*g + 5 - 3 + 2*g**s + 4. Let f be o(-6). Calculate the highest common divisor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4473 from -0.26931.\nAnswer: 4472.73069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -56. Does 9 divide 3*n\/(-6)*74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -59, -128, -237, -392, -599, -864?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3243 divided by -1\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468722 is divided by 293744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/56*-1)\/((-18)\/28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 4*r**6\/15 - r**4\/6 + 10*r. Find the third derivative of l(g) wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-1194.\nAnswer: 11940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453*l**3 - 1623*l**3 - 1627*l**3 + 4695*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3091 + 6190 = 6*d - 197*d - 2752 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 500081867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26 - (-2156)\/(-84))*-1. What is the nearest to 1\/4 in -65, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 34. Suppose -3*k - k - 3*b = 30, 5*b = -4*k - y. What is the lowest common multiple of 7\/(-35) - k\/5 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -87 + (2 - 0 - 5) + 3 - -31.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u + 4*u + 3 + 8*u. Let c be a(3). Suppose -35 = -t - 4*t. What is the highest common factor of c and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -109.\nAnswer: -8\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/13 - (-4)\/702. Let i = b + 43\/108. Factor 0*c**2 + 0*c - i*c**3 - 1\/4*c**4 + 0.\nAnswer: -c**3*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -69954.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 194*b**2 - b + 7. Let w be -4*(-2 - 2)\/(-4). Let j be n(w). Suppose -13*l + 8*l = -j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 89, -4959, -1 in descending order.\nAnswer: 89, 0, -1, -4, -4959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 28*q + 244 - 362, 0 = -q - j + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 - -369. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978588.\nAnswer: 2, 1244647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2631)\/(-1)*2\/6. Suppose x = t + 3*h, 3*h + h + 4385 = 5*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32333 (base 5) in base 16?\nAnswer: -8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 15574 and 15566 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13475483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128193*l - 160613?\nAnswer: -128193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - k + 51*k**2 - 11*k - 73*k**2.\nAnswer: -22*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000456961 rounded to six decimal places?\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25 = -3*v, -11 + 5 = -3*s. Let u(p) = -p**2 + 4*p + 98. Let q be u(12). Is -20*v\/((-45)\/q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**2 - 1. Let c be d(1). Suppose -4*h - 2*j = 510, 5*h + 0*h - 5*j = -630. Let k = c - h. Calculate the greatest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-15)\/(-10))\/(-1))\/((-3)\/14). Suppose l*j + 48 = -j. Let v be (-4)\/(-4 - j) - -134. Calculate the highest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-425))\/((-188)\/940)*-2*1?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 2*t**2 - t + 5. Calculate f(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31\/3 - -10. Let o be ((-4)\/3)\/((-168)\/(-180)*-5). Which is the closest to p? (a) o (b) -1 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156653?\nAnswer: 7, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 518*6\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenneee. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*h + 357 + 5515 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13004, -12914, -12820, -12722?\n\"Answer: 2*q**2 + 84*q - 13090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, q: 1, h: 3, j: 1, e: 3, b: 1}. What is prob of picking 1 m, 1 q, and 2 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 + 20 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*p = 30 + 46, 3*u + 3*p - 99 = 0. Suppose -n + 22 = 4*t, 17*t - u = 12*t - n. Let x(g) = -g**2 + 7*g - 4. What is x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {q: 1, e: 2, o: 1, g: 6, u: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(1\/15))**(-1\/3) assuming h is positive.\nAnswer: h**(-2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u**4\/5 - 3846*u**3 + 2043693*u**2\/5 - 2601282*u\/5 + 115368 = 0. What is u?\nAnswer: -1012, 2\/7, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (0 - (0 - -2)). Let b(g) be the third derivative of 0*g + 0 + 1\/12*g**4 + 3*g**2 - 1\/3*g**3. Give b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from jffjjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 12323310022?\nAnswer: 12323310023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 5. Let n(d) = -5*d**3 - 4*d**2 + 7. Let h be (1833\/585 - 9) + (-3)\/(90\/4). Let x(o) = -11*o**3 - 9*o**2 + 15. Calculate h*x(r) + u*n(r).\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*(7\/(-21))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*q + 95 + 2529, 4*q - 24 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2. Let o(j) be the second derivative of 93 + j + 0*j**3 + 0*j**2 + 17\/4*j**4. Calculate o(y(m)).\nAnswer: 1275*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 65 - 77 = 0. Let q(r) = -2*r**3. Let z(i) = 9*i**3 - 2*i**2 - 6*i + 5. Let b(p) = d*q(p) - z(p). Give b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) -2543 (c) -15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2 + (-6)\/(-4)). Let q = -57 - z. Let f = q + 118. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 923 - 5*g**2 + 2*g - 10*g - 919 to x + a*g + c*g**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -p + 9, 0 = 5*p - 11*b + 10*b - 97. What is the smallest common multiple of p and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let n = -179 - -332. Let r(f) = -260*f**2 + 263*f**2 - n*f**2. Determine r(y(x)).\nAnswer: -600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/39 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284.4 + -284.39946828. Round d to six dps.\nAnswer: 0.000532","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5396 is divided by 759.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrlyccw. What is prob of picking 1 y and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvyx when four letters picked without replacement from vtxvvqyv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 38673.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 - 6*k + 3. Let h be s(-2). Calculate the least common multiple of 10 and (h\/(-27))\/(2\/228).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1235 - 1386 + 543 - 11*b**4 - 23*b**4 - 20*b**4 - 3*b**3 wrt b?\nAnswer: -216*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*y**2 - 6*y**2 - 28*y**2)*(3*y**2 - 361 + 361 + 3*y) to g*y**2 + x*y**4 + n*y + l + j*y**3 and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*c - y - 16, -4*y = 2*c - 12. Factor 0*v**2 - 8*v**2 + 32*v**3 - 53*v**3 + 33*v**3 - c*v.\nAnswer: 4*v*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 44. Let s be a(4). Solve 3*n + s = -3*d + 7*d, -2*n = -d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 47224*r + 12774132.\nAnswer: 4*(r + 277)*(r + 11529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-39))\/((24\/(-9))\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16597.019 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 11*i**2 - 11*i - 7. Let o be m(12). Solve 0 = -5*u - o*x + 3*x + 23, -3*u + 29 = 5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2. Let y(i) be the second derivative of -i**5\/60 + 93*i**2\/2 - i + 10. Let q(n) be the first derivative of y(n). Calculate q(d(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1195139.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/1 - (-4 + 7). Let p be 46\/d - (-4)\/6. Sort -2, 5, p.\nAnswer: -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskckksscccc. Give prob of picking 1 c and 1 k.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**5\/12 + u**4\/24 + 2*u**3\/3 - 3. Let k(x) be the third derivative of c(x). Does 4 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 1981*d - 9807. Determine i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*r + 9720 - 7382 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 344a0?\nAnswer: -344a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eveooseeeeeseoewee. What is prob of sequence eeos?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1737, 1738, 1739, 1740, 1741, 1742?\n\"Answer: d + 1736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8891516, -8891513, -8891508, -8891501, -8891492, -8891481, -8891468?\n\"Answer: f**2 - 8891517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-18)\/(-108)). Suppose -3*i - 6 = s*o, i + 40 = -4*i + 5*o. Which is bigger: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0149 + -0.45953409.\nAnswer: -0.44463409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, e: 6}. What is prob of sequence aee?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -390231*c**6 - 97246*c**2 wrt c.\nAnswer: -46827720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73948 - 248368 = 57*k. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 5*v**2 - 3*v - 3. Let x be t(6). Let k be 6*(1 + (-14)\/x). Which is the smallest value? (a) -3\/7 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -5 (c) -0.66 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4310 and 89480.\nAnswer: 38565880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1052.008 - 1045. Let q = g - 7. Round q to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27.5 or -0.06526?\nAnswer: -0.06526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99749231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 5*d = -2131, -d + 2826 = 4*j. Let c = j + -703. Sort 16, -12, c.\nAnswer: -12, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 - 158. Suppose u*v + 3*f - 1200 = 0, -2*v - 2*v + f + 2386 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -43*r**4\/4 + r**2 + 8284*r. Let o(v) = -21*v**2. Determine o(c(x)).\nAnswer: -349461*x**4 + 10836*x**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 5*f - 11*f + 16*f - 3.\nAnswer: -3*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, -75615, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 - (0 + 3 - -10) - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 442.3 + -462. Let c = 20 + p. What is the closest to -5\/6 in -4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518.475ml in litres?\nAnswer: 3.518475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 30*g**2 + 8*g. Let t(w) = 30*w**2 + 9*w. Let h(j) = -2*k(j) + 3*t(j). Find the second derivative of h(q) wrt q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -29. Sort r, 0, -3, 3 in decreasing order.\nAnswer: r, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 34. Suppose 8 = -3*a - i, -a - 3 = 3*i - z. What is the nearest to -2 in 1\/3, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4\/3 - 415*s**3\/3 + 3320*s**2 - 24140*s\/3 - 1063520\/3 = 0. What is s?\nAnswer: -8, 23, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 + 0 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 539208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -904178, -3616717, -8137616, -14466875, -22604494?\n\"Answer: -904180*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-287 - -253)*(-2)\/17. Solve -a*h = j + 13, 10*j + 11 = 11*j - 2*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403540308 divided by -476998.\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -44\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 10*o + 2. Let f be g(5). Let w(z) be the first derivative of z + 0*z**f + 0*z**3 + 1 - 1\/2*z**4. Differentiate w(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12210 = 2872*p - 10766 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 2*t + 7. What is q(5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78330, -314979, -709394, -1261575?\n\"Answer: -78883*s**2 + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 8. Let c be w(0). Suppose -c = -14*r + 10*r. Let z(m) = -16 - 3*m**2 + 16 - m**r. Let d(h) = 2*h. What is z(d(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -128*q**5 + 14352*q**4 + 155738*q**3 - 748989*q**2\/4 + 286875*q\/4 - 18117\/2 = 0.\nAnswer: -11, 3\/8, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948250 to the power of 1\/2, to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**8\/1680 - x**6\/180 + x**4\/24 + 25*x**3\/6 - x**2. Let y(n) be the first derivative of c(n). Factor y(w).\nAnswer: (w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-888 - 4*z**2 + z**2 + 884)*(0 - 2 + 3).\nAnswer: -3*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (8\/2 - 5). Is 1365 + (w - 9\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 4}. What is prob of sequence lwl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + -48. Let a = -6783 + 6707.97. Let n = t - a. What is n rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 - 48*l - 144 = 0. Calculate l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 13161806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/50)\/((-2)\/5). Suppose -5 = t*p - 3*p. Solve -6 = -p*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8734, 13139, 17544, 21949, 26354?\nAnswer: 30759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 38*h + 32. What is the units digit of j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56488273 by 3.\nAnswer: 56488273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/11)\/(x**(4\/15)\/x))**(5\/6) assuming x is positive.\nAnswer: x**(53\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = v, 2*r + 54 = 5*v + 6. Suppose 26 = 4*d - v. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10340*v + 724556 - 93816 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.09. Let g = -0.04 - h. Let b be 1\/11*((-3)\/(-2))\/(60\/40). What is the nearest to g in 5, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-285)\/(-55) + (-2)\/11. Let v = 10 + -14. Let a be (-76)\/(-18) + v\/18. Solve 0 = 3*n + z*r + 27, -4*n + 0*r - 28 = a*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*g**3*m**3 + 2*g**3*m**2 - 1211*g**3*m - g**2*m wrt m.\nAnswer: -426*g**3*m + 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - t + 7315 = 0. Suppose 2*f + 0*f - 426 = -2*c, 0 = -5*f + 5*c + t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + (2 - -2) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m - 91*m - 3432 = 0. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/((-451)\/1122)*3\/36*-3\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65648 - 50028 = -2985*g - 70945 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 283*g + 4708. Let l be p(-16). Suppose 2*y + 5 = m - 7, -4*m - 3*y = -26. Suppose 5*q = m + 92. What is the highest common factor of l and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543230*j + 1629684*j - 543246*j - 543243*j.\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let a be s(-1). Let w be (-2)\/(-6) + (-35)\/a. Solve -3*d = -3*x + 27, 0*d + w = -3*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -442, -424, -388, -328, -238?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12595103 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/13, 326\/9, -4, 1, 0.5, 4, 11?\nAnswer: 326\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 593.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 79*k - 52*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0 + -1?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*p + 1)*(33379 - 35*p - 33379) to q*p**2 + o*p + h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f. Suppose 0 = 2*t - 3 - 1. Let j(i) = -4*i**t - 3*i**2 + 6*i**2. Determine l(j(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 144. Suppose -246 = -5*m - y*q, -2*q + 72 + 24 = 2*m. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2539494 and -0.11?\nAnswer: 279344.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from bbbbbobobbbo.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 236337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 107\/3*n**3 + 0 + 0*n**2 - 269\/12*n**4 - 132*n. Find the second derivative of r(q) wrt q.\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.37 + 4.93. Let i = m + -37.3. Let h = 103\/4 + -26. Which is the fourth biggest value? (a) -9 (b) -2 (c) h (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*c - 5*d + 34, -5 = c - 3*d. Solve 5*j + 8 = -2*w, 4*j - j + c*w = -16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-84)\/18)*12\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21790, 43591, 65388, 87181, 108970, 130755?\n\"Answer: -2*d**2 + 21807*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77012, 77018, 77046, 77108, 77216, 77382?\n\"Answer: 2*t**3 - t**2 - 5*t + 77016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(21\/6))\/((-350)\/105)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 4*o)*(-5476 - 50*o - 5477 + 10957).\nAnswer: -100*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 30 - 27 = 3*f, -2*m = 3*f - 23. Solve 5*b - 9 = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(3*q + q - 6*q) + 9688 - 9688 - 861*q)*(0 - 5 + 1).\nAnswer: 3460*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-1\/36)))**(-1\/19))**(2\/21) assuming x is positive.\nAnswer: x**(37\/7182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1026 and 3066.\nAnswer: 3065.8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -98*u**2. Let v(s) = -2*s**2 - 2. Let p(y) = 8*y**2 + 9. Let m(a) = 2*p(a) + 9*v(a). Determine g(m(h)).\nAnswer: -392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 11*m - 30. Let o be p(-13). Let t be 0\/2*(-2)\/o. What is t rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + q**2 - 3 - 3*q**2)*(10*q**3 - 15*q + 15*q).\nAnswer: -20*q**5 + 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + -1) - (51 - 43).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -119*o**2\/6 - 40*o - 2\/3 = 0. What is o?\nAnswer: -2, -2\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2616*a**3 - 1968*a**2 - 691*a**3 + 3936*a**2 - 1968*a**2.\nAnswer: -3307*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 1\/20*i**5 + 0 - 1\/3*i**3 + 7\/12*i**4 - 7\/2*i**2 - i. What is the units digit of q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251 + 27*q - 251 to the form h + g*q and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 855?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4*g + 3. Let k be s(-4). Let r be 25\/4 - k\/(-4). Let w = r + 154. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -267*g - 871*g + 544181*g**2 - 544169*g**2 + (3*g - 5*g + 0*g)*(0 + g + 0) - g**2 - g**2 + 3*g**2 in the form z*g**2 + j + s*g and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-36)\/(-16))\/(23688\/624) and -73\/18.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137908387?\nAnswer: 47, 1283, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3)*-1*-7. Let c = 2 + o. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 33*s**2 + 33*s - 6. Calculate c(32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 821, 1837, 3251, 5057, 7249, 9821, 12767?\nAnswer: 16081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = -3*m - 1, 5*m - g - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 5)**2 + (-2*sqrt(931) + sqrt(19))**2.\nAnswer: 40*sqrt(19) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, a: 2, t: 2, r: 12}. Give prob of sequence tt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 444720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-24))\/(-11) + 11220\/160. What is the highest common factor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (5 + 5)) + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703026 is divided by 340602.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4 + 5. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 + 32 = -26*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeieeeh. Give prob of sequence he.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.29 (b) 0.7 (c) -571 (d) -1\/2 (e) 0 (f) 4 (g) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36663*n**4 - 959970*n**3 + 14313507*n**2 - 13292898*n - 23976 = 0.\nAnswer: -37, -2\/1111, 1, 108\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247710271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9753 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 1386*m + 1391*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86110\/284751 + 146\/1091. Find the common denominator of u and 1\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9651 (base 14) to base 8.\nAnswer: -1440767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:10 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -s + 3*s - 6, 4*c + s - 13 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 617 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146059922 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*0.1179.\nAnswer: -4.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 149\/6 (b) 6 (c) -223 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -84. Let v = 1079 - 1069. Sort v, 4\/5, p in decreasing order.\nAnswer: v, 4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + 11 + -22 + 22\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12179324 - 2?\nAnswer: 12179322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*k**3 + 183*k**3 - 48*k**3)*(k**2 - k**2 + 2*k**2).\nAnswer: 670*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148519 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 396619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30004544 (base 6) to base 5.\nAnswer: -203402010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/(-1*11\/121).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*k + 117*k. Solve k = -3*q + 2080 - 2062 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -1139298379760.\nAnswer: -1139298379760.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = -2*f + 40, -4*f + 101 = k. Let u(m) be the third derivative of -m**4\/4 - m**3\/2 - 2*m**2. Calculate the remainder when f is divided by u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127898*b**2 - 7*b + 1236 wrt b?\nAnswer: -255796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:41 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 3. Let h be j(3). Suppose -z + 2 + 0 = h. Let p(x) = -2 + z - 2 + 4*x. Determine p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38312825 and 799572?\nAnswer: 459753900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -495 - -944. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c**2 - 14*c**2 + 113*c**2 - 29*c**2 - 26*c**2. Let o(n) be the first derivative of 2*n**3\/3 - 5. Determine o(h(k)).\nAnswer: 800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -85869633.51 - -2?\nAnswer: -85869631.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 810*g - 504*g - 3930*g to y + n*g and give n.\nAnswer: -3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 3*x + 6*x - x + 0*x - 5*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19755 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 415*y - 2493. Give c(9).\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -1540, -1625, -1784, -2041, -2420, -2945?\nAnswer: -3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 6. Let m be (-20)\/w*1*-6. Suppose m*c - 48 = c. Solve 2*y = -y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 85, -3, -5, -110.\nAnswer: -110, -5, -3, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373*c**2*y**5 - 143*c**2*y**2 - c**2*y + 2*y**5 - y wrt y?\nAnswer: -22380*c**2*y**2 + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k - 448 = 0. Let n be (-4 + 3)\/(k\/(-36) - 3). Let r = -324 - -324. Sort n, r, -2.\nAnswer: n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248174923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -117. Suppose -p*n + 2*x = -5 - 1, 0 = -2*n - 5*x - 15. What is the closest to 1 in -1.9, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 12:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -6dedaad?\nAnswer: -6dedaa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-105)\/6) + (-1 - 351\/(-65)). Let m(b) be the first derivative of -b**n + 0*b**2 + 0*b - 13\/3*b**3 - 30. Find the third derivative of m(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244218 and 3978.\nAnswer: 12455118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*n + 903*h**3 - 909*h**2*n + 2 wrt h?\nAnswer: -6*n + 5418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-56)\/48). Suppose -4*h + h = -3. What is the third smallest value in -4, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 + 812*v + 9808\/3.\nAnswer: -4*(v - 613)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -396*b + 307*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/1 - 62124\/(-1488)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19577817.\nAnswer: 3, 7, 109, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**28*g)**42 assuming g is positive.\nAnswer: g**1218","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 41\/3115166?\nAnswer: 41\/3115166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*b + 381, -p + 23 = 2*b - 64. Let q = p + -90. Factor 12*f**2 + 0*f - 5*f - 6*f - f - q*f**3.\nAnswer: -3*f*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 96118?\nAnswer: 96116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 32. Calculate the greatest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Let c = -84.1 + 84. Let y = c - -0.4. What is the second smallest value in z, 0.5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o**2 - 42*o + 7. Determine n(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11786.4 - -11787. Which is the third biggest value? (a) u (b) 4 (c) 0 (d) 4.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15698*j*m**2*t - 11*j*m*t + 19*j*t + 42*j + m**3 - 129*t with respect to m.\nAnswer: 31396*j*m*t - 11*j*t + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m - 25 = 0. Suppose 9 = -m*s + 24. Let k(t) be the first derivative of t**3\/3 - t**2\/2 - 1. Give k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 3*c + 3. Let j be d(0). Solve 10 = -2*a, -j*i + 6 = -5*a + 2*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznpppnzppdzppzpuz. What is prob of picking 1 n and 2 p?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1739 = -3*p + 5*d, -d + 4 = d. What is the remainder when p is divided by 76?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -56540\/7 (c) -7\/5 (d) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 26. Let f = 1182 + -1179.4. Let l = -1.07 - -0.07. Which is the closest to f? (a) d (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = q + 4, 0 = 3*q - 2*r - 20. Put 13, 5, -1, q in decreasing order.\nAnswer: 13, 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 146*a**2 - 11*a + 45. What is the tens digit of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5708876 or -1?\nAnswer: -1\/5708876","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2117*d + 4104 = -2003*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135110 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 40*f - 2. Let x(w) = 49*w - 2. Let b(n) = -5*t(n) + 4*x(n). Let s be ((-2)\/(-4))\/(2\/20). Give b(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*k**3 - 1106*k**2 + 1106*k**2)*(-19*k - 9*k - 30*k).\nAnswer: 3132*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.8. Suppose -4*w - t = 4*t + 29, 0 = w + t + 6. What is the nearest to f in w, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 0*s**3 + 0*s - 19*s**2 + 37\/8*s**4. Let r(c) = 3*c**2. Give r(h(p)).\nAnswer: 36963*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -46. Put 0, v, 5 in descending order.\nAnswer: 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-987)\/63)\/(-47)*234\/(-15).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4891 from 41678655361.\nAnswer: 41678655360.5109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5811 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 736*d + 34 + 4*d**2 - 2234*d + 760*d + 736*d.\nAnswer: 4*d**2 - 2*d - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -11. Let j(b) = -29*b + v*b + 12*b + 7*b. Determine j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 1. Let g be r(-3). Let b be (21\/(-6) - g)*2*3. What is the tens digit of b\/2*(-116)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 11. Let z = w - -22. What are the prime factors of (6 + -2 - 2)*z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 312110113002?\nAnswer: -312110113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2025 - 956. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1487705215 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -192. Let l = g - -89. Suppose -5*w + 34 = 3*v, -5*v + 5*w = -10*v + 50. Solve -q + y = 2, l*q - y + 2 = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3341 - 6706 + 3365 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74\/3, -0.4, -2, 0.3, 3, 4\/3 in decreasing order.\nAnswer: 74\/3, 3, 4\/3, 0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 222233 (base 4) in base 3?\nAnswer: 10202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.5. Let t = 0.4 - r. Let m = 0.2 + -0.1. Which is the smallest value? (a) m (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/1950445 and 25\/171?\nAnswer: 17554005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l - 4*l - 2*l + 7 + l**2 + l**2. Let x be q(3). Find the first derivative of -2*p**2 + x + 3*p**2 - 2 - 3*p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*q + 23 = -2*u + 134*q, -12*q = -3*u + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 10*z**2 + 6*z + 22. Let w be c(9). Let s(y) = 114*y**2 - 7. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39300.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.3, 4, 0.4, -9\/2, -1148.4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -124 and -80 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 73 = 3*x, 3*o + 20 = -3*x + 95. Calculate the lowest common multiple of 3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.11 - -67.89. Let p = 68.9898 - q. Round p to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 101*n - 759. Calculate l(-7).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*(((o\/((o*o**2)\/o))\/o)\/o)\/o))**45\/(o\/(o*o\/(((o*o\/o**(-17\/2))\/o)\/o)))**(1\/23) assuming o is positive.\nAnswer: o**(6195\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5114*q + 5120. What is m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-10))\/(51\/68). Which is the second smallest value? (a) 0.2 (b) i (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60, 63, 66, 69, 72, 75?\n\"Answer: 3*r + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(175) - (sqrt(567) - 2*sqrt(567)).\nAnswer: 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -34*o + 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1872\/2184*(28\/(-3))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*t - 34*t - 2*x - 4, 4*x - x = -9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -464 * 1.4\nAnswer: -649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54000 divided by -217.\nAnswer: 54000\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/(-39) - (-127)\/((-61087)\/222)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584 divided by 36?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 571, 221, -377, -1235, -2365, -3779?\n\"Answer: -2*r**3 - 112*r**2 + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 133*k + 9. Let d be g(2). Suppose -l - 3*a + 70 + d = 0, -1753 = -5*l - a. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 0 + 3 + 138\/60 and 23\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77364549 not equal to -77364551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002747 divided by -5?\nAnswer: 3002747\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276223?\nAnswer: 281, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39890023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 3*c + 2. Let y be l(1). Let z = 0 - 0.2. What is the nearest to z in y, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0)\/(3\/(-9)) + -1. Let d(n) = n + 10. Let l be d(-6). Let x = 2 + -1. Solve -h*y + l = -x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/24 - 19*d**2. Let m(c) be the first derivative of 4*c**2 + 6. Calculate -m(o) - 6*p(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 8, a: 6}. What is prob of picking 1 b and 2 e?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-24)*(-1 - 27\/(-15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 9*k + 777. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(17\/3)\/(u*u**(-1\/11)\/u) assuming u is positive.\nAnswer: u**(190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27432.2712 rounded to the nearest one hundred?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -8. Let d be (2 + l)\/(-1 - 1). Let r be d + 1 + -2 + -2. Solve -2 = -h + r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 8147 - 8147.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (658*n**3 + 2*n - 369*n**3 - 2*n)*(1 - 1 - n).\nAnswer: -289*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 11 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 122 = -150. Let z be (-2)\/(2\/1 - 3). Let k be (z + 1)\/(6\/8). What is the highest common divisor of o and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*b - 504*b = -143 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 5*j - j + 4*j - 223.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (141355\/765)\/(5\/45) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cb1ff (base 16) in base 6?\nAnswer: 412402543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6*u**2 + 965*m**6*u - 492*m**2*u - 2*u**2 wrt m?\nAnswer: -240*m**3*u**2 + 115800*m**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 860329 greater than 860329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/18 + 1232\/((-396)\/(-18))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11124218 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 91. Let b(d) = -d + 45. Let w be b(s). Calculate the greatest common factor of 156 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65096\/15 - -12844\/3. Let h = 884\/15 + i. Suppose 2\/15*j**2 - 2\/3*j + h = 0. What is j?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -63, -46490.\nAnswer: -46490, -63, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffcf. What is prob of sequence gcf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {j: 6, w: 1, f: 4, h: 3, r: 2, v: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9009 - 2044 = -3*n - 4*i, -5*i - 18410 = -5*n. What are the prime factors of n?\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*w - 2 + 3, l = 4*w. Solve 2*s + 18 = l*f, -3 = -4*f - 2*s + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 73.28, -3, -7?\nAnswer: 73.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 17*h**2 + 13*h + 9. Let m(k) = -k**3 + 9*k**2 - 7*k - 4. Let u(a) = 3*l(a) + 5*m(a). Let f be u(5). Let t be (-5 + f)\/(3\/2). Sort t, -5, 5.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 56*v = -54 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((127 - 139) + 0 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 35*y + 12 - 1 + 39*y - 73*y. Let d be a(-6). Solve -2*n + 23 = d*u - 0, 3*n = -2*u + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -17 + -6 - (-3 + -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1890 = -175*d - 106*d + 71*d. Let y = 1 - 0.9. Which is the nearest to 0? (a) -1\/4 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*o + 124, 853068*x - 3*o = 853070*x + 76 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 + 3*f + 526. Let d(v) = -v**2 - 5*v - 4. Let p be d(-3). Calculate the remainder when k(p) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24441 times 53\nAnswer: -1295373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 greater than or equal to -799409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/12)*f)\/f**30)\/((f\/(f*f**27*f*f))\/(f**(2\/17)*f)) assuming f is positive.\nAnswer: f**(415\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*s + 213 - 245*s + 486*s.\nAnswer: 2*s + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - g = -0*b - 178, 0 = -3*b + 5*g + 90. Suppose 20 = -4*y, b = -7*u + 12*u - 4*y. Factor -5*w**2 - 1\/2*w**u - 16 - 16*w.\nAnswer: -(w + 2)*(w + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -29*x**5\/120 - 265*x**3\/3 - 45. Let w(p) be the third derivative of m(p). Let a(f) = -f. What is w(a(h))?\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -230, -520, -926?\n\"Answer: -58*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:26 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 15 + 11. Solve r = 3*m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 1. Let n = 15 - -7. Let y = n + -36. Let x = y - -12. Determine w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/42 in 152, -0.23, -4, 1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/80 + -3 + (-354)\/(-105) + 2048\/(-3584)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:21 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3. Let w(n) = -2*n**2 + 16*n. Calculate -2*o(x) + w(x).\nAnswer: 2*x**3 - 2*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {l: 7, q: 1, a: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 308769090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20698208 and 1162?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208 + 130. Let g = a + 124. Let u = g + -275\/6. What is the closest to u in 0, -1\/10, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/21 (b) -0.6 (c) 3 (d) 0.06 (e) -5 (f) -572\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**2 + 926*w + 5465. What is t(-6)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606872 is divided by 191?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.038, 0.1, -2\/39571?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 23. Let c = 2 + -17. Let h be n(c). Let z = -34 + h. Solve -z*t = -7 - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, 1, -1\/4, 161?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*r**4 + 0*r**2 + 7\/4*r**5 + 0*r**3 + 0*r.\nAnswer: r**4*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2595975 by -75.\nAnswer: 34613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/j**(-15)*(j**(-13)*j)\/(j*j**15*j) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11453*g - 126609 - 56639 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (288\/(-24) - -11)*(12\/(-14))\/(-3). Let p = -2.5 + -0.5. Let z = p - -2.98. Which is the closest to h? (a) -4 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2908, -2904, -2874, -2806, -2688?\nAnswer: -2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 118118 divided by -143\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-2 - -1)) + 1. Let j = 20220\/7 + -2888. What is the third smallest value in f, j, -0.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -73*l - 77. Let y be -3 + (0 - 3) - (13 + -14 - 4). Determine b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1622.22 plus 506834415?\nAnswer: 506832792.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 245, -1\/24 in ascending order.\nAnswer: -1\/24, 0.4, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3266 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 168 = 2*v. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1055310 and 153120?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 3*s**6\/40 - s**5\/6 + 97*s**3\/6 + 2*s**2 - 11*s. What is the first derivative of k(n) wrt n?\nAnswer: 27*n**2 - 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/(-4575)*(-10)\/(-8)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.3 + 12. Let t = 14.3 - 15.68. Let o = 1.42 + t. What is the second smallest value in 3, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.86090972 rounded to 4 dps?\nAnswer: -1.8609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.226388 rounded to one decimal place?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + -7. Suppose 708*l = 604*l - 312. What is the third smallest value in h, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8629572 divided by -5\nAnswer: 8629572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 8 + 3*f**2 - 12 + 6 with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126931019.\nAnswer: 31, 4094549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 4360.\nAnswer: 13080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4938*n**2 - 4934*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4128 - -8253\/2. Let s = 0.1 - 0.2. Put s, 4\/7, 1\/10, r in ascending order.\nAnswer: r, s, 1\/10, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(7) + (sqrt(343) + sqrt(343)*-1)**2.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 1\/3 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b0a50b (base 12) to base 7.\nAnswer: 134115350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*b - 3\/5*b**3 - 129\/5*b**2 + 0.\nAnswer: -3*b*(b + 3)*(b + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/6 + 5*n**3\/2 - 3*n. Let z(j) = 8*j - 320. Let q(x) = 5*x - 192. Let u(m) = -5*q(m) + 3*z(m). Calculate u(l(i)).\nAnswer: -2*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + 4 - (19 + 27)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523162.\nAnswer: 2, 261581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l + l**2 - 16*l**3 - 8*l**2 + 20 + 17*l**3. Let q be h(10). What is the third derivative of -5*y**3 - q*y**2 + 27*y**3 + 257*y**2 wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(72) + (5*sqrt(72) + sqrt(72))*-6)\/sqrt(6))\/((-1*sqrt(1944))\/sqrt(9)))*3)**2.\nAnswer: 525*sqrt(2) + 1675\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r + 15. Let j(w) = w**2 - w - 3. Let v be j(r). Suppose -5*l - 26 = -2*u + 34, 3*u - 132 = -v*l. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = d + 6, -3*d - 4*n = -0 + 10. Calculate the remainder when 4 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -66. Suppose 0 = -b*m + 1336 - 83. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncmxw. Give prob of picking 1 c, 1 w, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*(m**(-4\/13)*m)\/m))\/((m*m\/(m\/((m*m**(3\/8))\/m)))\/m*m))**(-3\/46))**(8\/9))**(-7\/5) assuming m is positive.\nAnswer: m**(-259\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = 113*x - 990 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2 + 12\/4. Is -2\/5 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggggjgggjgrrbbbg. Give prob of sequence gb.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133110 by 44370.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13660393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -26 (c) 2\/1365 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -82090, -656762, -2216592, -5254162, -10262054, -17732850, -28159132?\n\"Answer: -82097*n**3 + 3*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-5*d + 0*d + 0*d) + 89*d + 141*d + 150*d - d + 3*d - d to the form k + g*d and give g.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69476 - 234?\nAnswer: 69242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46913.642 + -46857. What is b rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (288\/63 + -2)\/(2\/1064). Suppose 2*t = 5*v - a, -4*t + 820 = 3*v - 5*t. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 6. Let w = 2 - y. Factor -2*n**3 + 2*n - 5*n + n**5 + w*n.\nAnswer: n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -137*p**4\/4 - 171*p**3\/2 + 1246*p**2. What is the derivative of o(m) wrt m?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329+5661\nAnswer: 5332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 13*j - 20 = 0. Let i = -1 - j. Suppose 0*x - 4*h = -x + 93, 0 = i*x - 4*h - 408. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 112011*g - 112014.\nAnswer: 3*(g - 37338)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1065 and 3.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 + y. Determine v(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 109*s**2 + 12*s - 24. Give l(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) -252 (c) 0.064 (d) 13\/3 (e) 0.3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -45*t + 36*t. Calculate the remainder when 4 - (-115)\/(-10)*-2 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 6*z + 25. Let v(u) = u. Give -k(b) + 6*v(b).\nAnswer: -2*b**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*d = -39 - 10, -4*d + 68 = -4*k. Let h(z) = z**2 + 22*z + 73. Let t be h(k). Which is the nearest to t? (a) -2 (b) 2\/19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/13 + 88*i**2\/13 - 402*i\/13 + 36.\nAnswer: -2*(i - 39)*(i - 3)*(i - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729405 is divided by 410.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 101968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74886933 a multiple of 1749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 4?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/5 (b) 0.01 (c) 0.3 (d) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 3486 = 10*b. Let t = -163 - b. Solve 3 + 5 = -4*z, t*r + 7 = -5*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -3\/7, 36, 3\/7, 3\/5, 82?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5752542km?\nAnswer: 575.2542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3\/3 + 67*n**2\/6 - 22*n\/3 + 73. Factor y(r).\nAnswer: -(r - 22)*(3*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/((-1265)\/66))\/28.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100000000111010 (base 2) to base 16.\nAnswer: 3403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 4*r + 234 = -6*n, -3*n - 2*r + 335 = 0. Suppose n + 35 = -12*o. Let t = 1.2 + -1. Is t bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 102840?\nAnswer: 308520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 552, 1596, 3134, 5166, 7692?\n\"Answer: 247*w**2 + 303*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 2*d - 6*l - 5, -2*d + 4*l + 10 = 0. Let p(h) = 5*h**2 + 2*h + 10. Let y(s) = 11*s**2 + 5*s + 20. Calculate d*y(c) - 7*p(c).\nAnswer: -2*c**2 + c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 43*b + 126. Determine r(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 3. What is r(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5580216 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 3006 = 21*y - 2*w, y + w = 3015. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/35 + 4\/(-14). Suppose -958 = k - 960. Factor -2\/5 + 1\/5*h**k - u*h.\nAnswer: (h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/356 and 5 - (1908\/(-96))\/3?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967783008.\nAnswer: 2, 3, 10081073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -9*z - 601 + 568, 3*z - 3 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*t - 5*w, -t + 5*w = 2*w - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(d**2 - 6*d**2 - 2*d**2) - 2*d**2 + 3*d - 1 - 3*d.\nAnswer: 12*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 592 - 571. Solve 0 = m*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-737)\/(-174) + (-252)\/((-456624)\/(-7550))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - 8*j + 22758*j**3 - 45557*j**3 - 10*j**2 + 22794*j**3.\nAnswer: -5*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62196 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 15) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3414*w + 5*w**5 + 3*w**4 + 21151*w**2 + 2*w**4 - 10572*w**2 - 2*w**4 - 10528*w**2 wrt w.\nAnswer: 100*w**3 + 36*w**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, 2, -0.28, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/((1 - 3)\/(-2)). Let b = 33 + m. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(900)*2 + 4)*-3)**2.\nAnswer: 72*sqrt(17)\/5 + 3753\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*n - 422234, 3*n - 88699 = 5*l + 164708. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.5826*4\nAnswer: 50.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38031001.\nAnswer: 631, 60271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 1 + (5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 5 - 2 + 1. Suppose -188 + 83 = -15*z. Calculate b(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 12 - 2. Let h be (3 + -1)\/(1 + 1). Put 0, h, v in increasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162.4 - -175. Let a = k + -12.2. What is the biggest value in 0, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:13 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38795538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65021.74 micrograms to grams.\nAnswer: 0.06502174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9294\/(-5)*25\/5. Let d = 55637\/6 + y. Find the common denominator of d and (-4)\/10*(-470)\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1417 and 1678?\nAnswer: 2377726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/(t*t**4)*(t**3)**(-23) assuming t is positive.\nAnswer: t**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -3, -10, -31, -72?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*k**2\/7 - 290*k\/7 - 9632.\nAnswer: 2*(k - 49)*(17*k + 688)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(300) + -1*sqrt(300) + -5)*-5 + -3)**2 + 0.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8, 15*i + 5*z = 10*i + 55. Suppose -470 = i*m - 17*m. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + -4 + (-9 - (4 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126273785449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*f - 5, 13*u - 2*f + 10 = 14*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22343155 divided by 4468631.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -113. List the prime factors of 60\/(-45) + (-764)\/h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 52. Solve 0 = 2*w + 5*d - 35, -4*w = 3*d + 6 - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 654 = 6*a + 5*s, 5*a + 3*s + 118 = -6*a + 7*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 91341.05\nAnswer: 91341.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 3\/8 (c) -2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-3.6045\nAnswer: 4.68585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 11 = 492*v - 497*v, -4*v = -z - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1060\/2915)\/(18\/11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28445.\nAnswer: 5, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t**2 - 7*t**2 - 8*t**2 + 2*t**3 - t**4 - 1 to the form a*t + l*t**3 + b + x*t**4 + f*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26594447715 + 0.3.\nAnswer: -26594447714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 67340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702972?\nAnswer: 2, 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 359960 less than 359960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (-9)\/3)*(-8)\/12. Solve -4*p = -5*h + 2*h, p = t*h - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.451637 + -588.398163. Let w = l - -589. Let k = 0.14 - w. What is k rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294*3503.\nAnswer: -1029882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 8*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + -5*sqrt(68) + (2 + (sqrt(68) + 2 - sqrt(68)))**2.\nAnswer: -10*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/12)\/((-2)\/24*2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 4*v + 5*v)*(17*v**2 + 37*v**2 + 93*v**2) - v**3 + 0*v**3 + 3*v**3.\nAnswer: 1913*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -19?\nAnswer: -13\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Let h(o) = o**2 - 8*o + 3. Let p be h(k). Does 17 divide 4\/p*-51*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20859 + -375589\/18. What is the common denominator of q and ((-2)\/(-15))\/((160\/(-516))\/10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 4, -5, -1771 in decreasing order.\nAnswer: 127, 4, -5, -1771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/905 and -39\/115.\nAnswer: 20815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2730 and (6 + ((-715)\/(-10))\/(-11))\/((-40)\/146).\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 23598.\nAnswer: 25\/11799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31091542 divided by -2?\nAnswer: -15545771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1407 - 1398. Let k = -89\/308 - -1\/308. Which is the closest to w? (a) k (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2 - 18 - 401*f**4 + f**3 - 3*f**2 + 313*f**4 wrt f.\nAnswer: -2112*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1230\/328)\/(10\/48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 69. Let s be m(-18). Solve c + s = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-14))\/(18\/(-63)))\/((-940)\/141).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225775 is divided by 55623?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/11 + 29732*k**2\/11 + 475128*k\/11 - 97200 = 0 for k.\nAnswer: -14850, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3)\/9 - 90\/486. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a - 56*a = -5. Suppose 3*g = a*g + m - 807, -4 = -4*m. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*h + 2, 0 = 3*n - 2*n - h - 4. Suppose -3*q - 113 = -n*x + x, -3*q + 3 = 0. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26253, -55415, -84577?\nAnswer: -113739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from ttbmlb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -2585, -6951, -13071, -20951, -30597, -42015?\nAnswer: -55211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 22. What is the biggest value in -2\/21, z, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2854*z**3 + 4601*z?\nAnswer: -17124*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 + 2 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9960733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 153 and 140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -15152?\nAnswer: -15202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c**2 - 2*c + 5. Suppose -5*i + 34 = -1. Let v(b) = -b**2 + 5*b + 16. Let r be v(i). What is the units digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 304*((-51)\/(-459))\/((-2)\/(-9)). Which is smaller: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3872)\/(-33))\/16*(-729)\/891?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i**3 + 36*i**2 + 51*i - 3. Let v = 43 + -47. Let y(m) = 7*m**3 + 9*m**2 + 13*m - 1. Let j(b) = v*d(b) + 15*y(b). Find o, given that j(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((4 - -8) + 208)*72?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*y - 5 - 2*y + 5.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 107. Let s be k\/(-3)*(-2 - -4)\/(-4). What is the units digit of -1*(-3 + s\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 61*t + 1038. Let j be d(-17). Let h(i) = -i**3 - i - 1. Let p(b) = -5*b**3 + b - 4. Give j*p(m) - 4*h(m).\nAnswer: -m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 6, h: 1, y: 6, u: 3}. What is prob of picking 1 y and 1 u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (40 - 50 - (-43 - -59)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let l(b) = 58*b**2 - 2*b - 4. Let t(x) = -58*x**2 + 3*x + 5. Let o(a) = -6*l(a) - 4*t(a). Calculate m(o(c)).\nAnswer: 232*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-1\/49)))*y*y*(y*y*y*(y\/(y\/y**(-24\/11)))\/y*y)\/y)**24 assuming y is positive.\nAnswer: y**(36192\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.73 - -0.7. Let j = -16404 - -16401. What is the third biggest value in 4, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-12) - 2 - (-1876)\/1072. Which is the closest to 1\/6? (a) 1.91 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpbgbbbrrp. What is prob of picking 1 x, 1 g, and 1 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/20 and (-867)\/150 - (-40)\/500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240001 to the power of 1\/2, to the nearest integer?\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*b - b**2 + 0*b)*(3 + 2 + 1).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/(24\/(-6) + 6). Put -5, -4, -51, j in decreasing order.\nAnswer: j, -4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 536 and 252.\nAnswer: 33768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (6*sqrt(85) + sqrt(85))*4 + sqrt(85) + sqrt(85))\/(1*sqrt(80) + sqrt(80)).\nAnswer: 31*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 - 209. Suppose y*u - 2*n - 5187 = 3*n, 0 = -4*u + 4*n + 10344. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10838 rounded to the nearest one hundred?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54053, -54054, -54065, -54092, -54141, -54218?\n\"Answer: -t**3 + t**2 + 3*t - 54056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52440 by -15.\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 16. Let v be u(-2). Let l be (-4)\/v - 14\/(-49). Factor -1\/6*n + l - 1\/6*n**2.\nAnswer: -n*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:53 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144800 and 200?\nAnswer: 144800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 59731?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h - 15*h**3 + 8*h + (h + 2 - 2)*(4*h**2 - 3*h**2 - 2*h**2) - h**3 + 0 + 0 + (-37*h - 20*h**2 + 37*h)*(-3*h + h + 0*h).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*12.33\nAnswer: -73.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, n: 6, k: 1, l: 2, b: 2, s: 1}. What is prob of sequence nb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, -0.24, -1\/2, -2, 4\/27 in descending order.\nAnswer: 195, 4\/27, -0.24, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-27)*(-45)\/12*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:07 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a + 7. Let g = -44 - -39. Let o be 4 - (-4 + (-20)\/g). Let p be q(o). What is the greatest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166257\/(-16443)*(-6)\/26\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437 (base 10) to base 16.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -45458054.2 to the nearest 100000.\nAnswer: -45500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43313 + -4431104?\nAnswer: -4332241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1293 + 124123\/96. Find the common denominator of f and 59\/4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = 31*l - 147390. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 2, c: 3}. What is prob of sequence wc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:37 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 240 = -6*s. Calculate the remainder when 54 is divided by 4\/(s\/(-14) - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -1143042?\nAnswer: -1143022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:18 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 6 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose g + 69 = 2*b, g - d*b = 4*g + 191. Let c = g + 102. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202011 (base 3) in base 15?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -5 - 35\/4*b**4 - b**5 - 30*b**3 - 40*b - 50*b**2. Factor a(w).\nAnswer: -5*(w + 1)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 7*r**2 - 4. Let a(p) = 80 + 278*p - 279*p + 7*p**3 - 73 + 13*p**2. Calculate 6*a(g) + 11*y(g).\nAnswer: -2*g**3 + g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + -21 + 23 + (2 - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/291088 and -101\/124.\nAnswer: 9023728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2573.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qssosoqssoo. What is prob of picking 3 o and 1 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 8*o**2 + 42*o + 18. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 36*s**3 - 129*s**2 - 180*s - 84 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 5*c - 2*t, -t = -2*c + 2*t - 36. Let r be c\/(-6)*2*1. Suppose r*v - 45 = 55. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -17, -42, -77, -122?\n\"Answer: -5*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 606 times -0.1\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709181141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3)\/((-4)\/(6 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {c: 1, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13912 and 962.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035034, 1035010, 1034986?\nAnswer: 1034962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p - 81. Let f(o) = 6*o + 45. Let x(m) = -9*f(m) - 5*u(m). Let a(r) = 4*r + 2. Give a(h) - 5*x(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/2 - 3*g**2\/2 + 4*g. Let c be a(-2). Put -1, 5, c, -19 in decreasing order.\nAnswer: 5, c, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-68))\/(3282\/9299)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = -m. Suppose -m = -2*n - 1. Suppose 0*i + 84 = n*i. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-21) - 1)*11382\/(-182112)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -665*h**2 - 1029 + 7*h + 16*h + 633*h**2 - 54*h wrt h.\nAnswer: -64*h - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppttttt. What is prob of picking 3 t?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:04 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (60\/(-21))\/((-144)\/504) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4426326517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9 = -4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/20 - h**4\/6 - h**3\/6 - 18*h**2 + 2515*h. What is k(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*h - 57 + 205*h - 19*h**2 + 7572*h**4 - 1720*h**4 wrt h?\nAnswer: 140448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 32*g + 1. Suppose 4 = d - 1. Is y(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 + 10100000001100010?\nAnswer: 10100000010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1924b (base 12) to base 3\nAnswer: 1212020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*7\/((-28)\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let l = b + -1. Solve -8 = 4*s, 8 = -4*z - l*s + 2*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 0.2, -9, 6, -258, 0.5, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-110) - 1203\/(-30). Suppose -3*k = -0*k - 12. Suppose 0*i - 3*i = k*u - 36, 3*i + u - 27 = 0. Calculate the greatest common divisor of i and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -56 and 2602 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27339 greater than 27339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1437*d - 445. Determine n(1).\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - t**5 - 3)*(17 - 31 - 9) + 4*t + 2*t**5 - 4*t.\nAnswer: 25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003468 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3 + 101*p**2 - 2499*p - 2601 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 8. Suppose -3*r = 3, -6*r + 36 = -f - 2*r. Let k(i) = 1. Let u(m) = f*k(m) + 5*j(m). Determine u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 304*i + 530?\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 447*p**3 - 11 - 5*p**4 + 11*p**2 + 454*p**3 - 900*p**3 - 23*p + 21*p as g*p**3 + z*p + y*p**2 + j*p**4 + r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6214975 is divided by 722.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let i(p) = p**3 - 20*p**2 + p - 4. Let q be i(20). Suppose -g - q = -n*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -964065?\nAnswer: 1\/321355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x - 4. Let k = -22 - -16. Let q be r(k). Find the third derivative of u**5 + u**q - 2*u**4 + 2*u**4 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by -177468?\nAnswer: 193\/88734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -33*p**5\/20 + 6*p**2. Let m(q) = q**2. What is i(m(o))?\nAnswer: -99*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -4. Which is the third smallest value? (a) -1\/4 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((594\/(-396))\/(1*20\/(-8)))\/((-46)\/10).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 - -514. Let a = -147.042 + t. What is a rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.7 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhkhhhhhkhh. What is prob of picking 2 h?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 28 + 13 + 98*z**2 in the form s*z**2 + c*z + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -4, 8.1, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -539\/2 - -270. Calculate the common denominator of j and 130\/(-44) + (0 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121867 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-14)\/s)**(-2\/167)*s**(-30\/11)*s**(-30)\/s assuming s is positive.\nAnswer: s**(-61649\/1837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, 3 in descending order.\nAnswer: 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 - 28*x - 138. Calculate the remainder when b(-7) is divided by 196.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/22 + 14\/(-42)*-15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28623.24 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 2*s**2 + 2*s - 1. Let x be u(-3). Let g be 4\/6*(-4 - (-1 + 3)). Which is the nearest to x? (a) -1 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -742086376 smaller than -742086376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063245 divided by 212649.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5165413 (base 7) to base 5\nAnswer: 124341004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h - 857. Is 128 a factor of f(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.3. Let l = -6729 + 6722. What is the nearest to 0 in j, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2066*j - 35086 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -268, -613, -1096, -1717, -2476, -3373?\n\"Answer: -69*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8983 + -0.3983. Let r = 0 - 0.1. Sort a, 26, r in ascending order.\nAnswer: r, a, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 5) in base 10?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + 156. Let j be 2\/13 - (-2352)\/h. Calculate the common denominator of (5\/j)\/(2\/(-202)) and -35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 926296*k - 3332. Let a(w) = 1669*w - 6. What is -1666*a(t) + 3*r(t)?\nAnswer: -1666*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, a: 2, w: 1, o: 1, g: 2}. What is prob of picking 1 a, 2 w, and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2, y + 8 = 5*h - 11. Solve h*m - 8*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 57. Let x be p(-33). Solve 5*k - 4 = -x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - -4.6. Is -2.36 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**2 - 8*w + 0*w**3 + 0 + 1\/6*w**4. Let n(o) = -3*o**2. Give n(q(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 31*z + 1563. Let s be k(-48). Solve s = -6*h + 57 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61176 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10*b + 3 = -8*b, -2*l = 2*b - 4. Solve -4 = q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3930, 15731, 35400, 62937?\n\"Answer: 3934*v**2 - v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -251*z. Let c(n) = n**2. Give c(b(t)).\nAnswer: 63001*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 3*z**2 - 5*z + 8. Let g(k) = -k**3 - k + 1. Let t(r) = 27*r + 1399. Let q be t(-52). Determine q*g(l) + s(l).\nAnswer: 3*l**3 - 3*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. What is the second smallest value in -2\/5, -0.1, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674653?\nAnswer: 7, 31, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Suppose -3*v + 8 = -4. Let i be (-3)\/6 + 18\/v. Let s(q) = -i*q**2 + 0*q**2 + 8*q**2. Calculate s(c(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 81.5. Let n = -0.3 + 1.3. Put 0.2, n, x in ascending order.\nAnswer: x, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/10 and 26\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133.6 greater than -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 372925\/788. Let x = y + 473. Let f = x + -383\/2167. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 0.09 (c) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c**3 - 3*c**2 - 7*c - 4. Let h(i) = 73*i**3 + 10*i**2 + 22*i + 13. Let k(g) = 2*h(g) + 7*z(g). What is the remainder when k(-2) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6681.53 - 6611. What is m rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269335 by 2.\nAnswer: -269335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/8)\/(-3) + 15\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.612497 plus 1950?\nAnswer: 1810.387503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/7 (b) 4 (c) 3.5 (d) -1.3 (e) 0 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1075, -4\/5.\nAnswer: -4\/5, 1, 1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*c + 12 = -131*c. Suppose -5*x + c*x - 16 = -4*d, -4*x + 20 = 5*d. Solve y = -x*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**(3\/19)\/(c**0*c)**(26\/3) assuming c is positive.\nAnswer: c**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 6*p**2 + p - 3. Let o be u(3). Calculate the remainder when (1 - 78)\/(o + (-2)\/2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/(2\/(-8)). Let d = -106 - -113. Calculate the highest common divisor of x and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(125)*-4 - (2*(sqrt(125) + -1) + sqrt(125)))**2.\nAnswer: -220*sqrt(5) + 15129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 498541871\/2247 + -221870. Find the common denominator of 47\/3745 and f.\nAnswer: 11235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:02 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-13 - -3) + 31\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1081, -1076, -1071, -1066, -1061?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484973 to the power of 1\/2, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1996537313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (-119 + 119 - (3 - 19)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+13.75\nAnswer: 13.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 11*z + 3*q + 32, 0 = 3*z - 3*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 3*y**2 - 2*y**2 + 9 - 7 in the form v*y**2 + a + s*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l*l)**(-46)*(l\/(l*l\/l**(-3)))\/l**(1\/4))\/((l\/((l**(1\/4)\/l*l)\/l))\/(l*l\/(l**(6\/11)\/l))*l**1*(l**(4\/9)*l)\/l*l) assuming l is positive.\nAnswer: l**(-9701\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5163, 4518, 3873, 3228?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 29640859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/675)\/((-2)\/(-10)*4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 121\/6 - (-20)\/(-120). What is the greatest common divisor of 110 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22395077 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9316 + 4?\nAnswer: 9320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 484886167 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = -11*k + 15*k - 69. Let y(z) = 12*z + 21. Let o(m) = 4*m + 7. What is k*y(u) + 8*o(u)?\nAnswer: -4*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*s + 35 = 0, w - 2*s + 3 = -s. Suppose 0 = -u - w + 4. What is the lowest common multiple of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 4*f**2 - 4*f. Let j(x) = 10*x**3 + 12*x**2 + 13*x - 2. Determine 7*h(p) + 2*j(p).\nAnswer: -p**3 - 4*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -370, -634, -916, -1222, -1558, -1930?\n\"Answer: -x**3 - 245*x + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 - 5*u + 5. Let i(s) = 12*s**2 - 16*s + 16. Calculate 16*a(n) - 5*i(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91052\/15 - -6068. Calculate the common denominator of u and -91\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + q = -20, 2*o - 54*q + 51*q - 27 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 136 times -1.16\nAnswer: -157.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1775*b - 5678. Give w(-3).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -844 divided by 211.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89906 + 44487 + 17*j**3 + 45419.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnqnnnnnnnnqn.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/208 and 97\/200608?\nAnswer: 2607904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -477, -2259, -5, 4, -4 in descending order.\nAnswer: 4, -1, -4, -5, -477, -2259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -7*i**5\/30 - 5*i**4\/12 + 2*i**3\/3 - 11*i**2\/2 - 3*i + 51. Let a(y) be the second derivative of x(y). What is g in a(g) = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*x + 1)*(1109*x**2 - 1202*x**3 + 2207*x**3 - 1018*x**3) to the form m + h*x + o*x**4 + f*x**3 + j*x**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-65 + (8 - 30))) + -15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*a = -4730 + 319 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -53. Let c = v + 20. Let n(x) = -x**2 - 7*x + 11. Let t be n(c). Solve 2*s = 4, t*s = 4*m + m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:33 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1030876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1509?\nAnswer: -1\/1509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3 + 0*c - 3*c**2 - 3*c + 5*c**2. Calculate the remainder when z(3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750707 (base 8) to base 11\nAnswer: 161076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -176057443\nAnswer: -70422977.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 5. Let m(n) = -6*n + 7. Let a = 36 + -17. Suppose -2*f + o = f + a, 5*o = -f + 15. Calculate f*m(i) + 7*y(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153025237*m**2 + 153025237*m**2 + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1652)\/126 - -13 - 160\/18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1923 - -1943. Let s be (-11 - -10)\/((-1)\/(-4)). Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {x: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e4 - 5?\nAnswer: -1e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -4. List the prime factors of -2 - (x + (4 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 11652?\nAnswer: -2\/2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 54*p - 1. Let i(n) = 13*n**2 - 271*n - 1. Let u(a) = i(a) - 5*x(a). Calculate u(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 11037478?\nAnswer: 77262346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q = -93*q - 5, -2*s + 46686 = 6*q. Is 144 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 2*y + 314, -3*g = -3*y - 231. Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 670. Let f be (-1)\/(2\/(-14))*143. Suppose a - p = -m + 2*a, -2*a - f = -3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let w(x) = 3*x. Let f(q) = 5*b(q) - w(q). Let p(j) = 6*j. Determine f(p(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 229*g**5\/5 + 983*g**2\/2 + g + 155. What is the second derivative of v(r) wrt r?\nAnswer: 2748*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, j: 1, t: 1, p: 2, u: 1}. What is prob of sequence qu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(-24)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*v**2 + 2 - 12*v**3 + 45*v**2)*(-1 + 1 + 2*v).\nAnswer: -24*v**4 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16970.\nAnswer: 2, 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 270347?\nAnswer: -270347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(6\/(-64)) - (-2)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0661 - -0.055. Let s = a - -156.3111. Round s to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.284384 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -2. Let h = m - -7. Let c = -42\/13 - -38\/13. Is c greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 59.1. Let l = -7 + z. Let u = 0.2 - 0. Which is the nearest to -1? (a) 4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 - 361.422. Let v = 0.584 - x. Round v to 2 decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 + 193. Let j = -7 + 11. Let n = -1 + j. Solve -5*d = n*k + 10 + 2, 5*d + l*k + 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 4*s**3 - 2*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24538, 26318, 28098?\n\"Answer: 1780*q + 22758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 1, z: 4, y: 2, a: 2, g: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + 2*j - 6. Let z(y) = 1. Let b be (-37)\/(-9) + 15\/(-135). Suppose -30 - 2 = -4*o - b*i, 0 = -4*o - 5*i + 35. Calculate o*z(x) + h(x).\nAnswer: -4*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eun when three letters picked without replacement from fnnnnpnuunnnnpnenpnn.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*((0*z**2 - 5*z**2 + 3*z**2)*(24*z**3 - 24*z**3 + 46*z**3) - z**5 + 6*z**5 - 3*z**5).\nAnswer: 90*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 20*(-9)\/(-108)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/47966928 and 10\/411481?\nAnswer: 335768496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/j**1)\/j)\/j)**(3\/19)*((j*j**(-5))\/j)\/(j*j**(-1))*((j**(-3\/4)*j)\/(j**(2\/29)\/j))**(-37) assuming j is positive.\nAnswer: j**(-107679\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.9727 + 14.264.\nAnswer: -167.7087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -23) + 63 + -31 + -107\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*5*(sqrt(17) - ((sqrt(17)*2 - sqrt(17)) + sqrt(17))) - (sqrt(1377) + (sqrt(1377) + 1 + sqrt(1377))**2 + (1*sqrt(34))\/sqrt(2))*-2.\nAnswer: 242*sqrt(17) + 11018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1561, 6449, 14589, 25975, 40601, 58461?\nAnswer: 79549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpl when three letters picked without replacement from {p: 1, b: 8, l: 6}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6))**(7\/3)*(u*u**(2\/21))**24)**(-22) assuming u is positive.\nAnswer: u**(-35893\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -162994 rounded to the nearest 1000?\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0.181630635355\nAnswer: 1.181630635355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274837960 rounded to the nearest 10000?\nAnswer: 274840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 26, -1, -4 in increasing order.\nAnswer: -4, -1, 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5801 - 3565. Is 2236 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 39 = -4*d. Let h(k) = k**2 - 5*k + 4. What is the lowest common multiple of 10 and h(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h + 2. Suppose -4*b - 12 = -16. Let r(f) = -4*f + 1. Give b*r(w) - 3*n(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*k**3 - 307*k**3 + 631*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*q**2 + 6*q**3 + 10*q**3 - 25*q**3 + 7*q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {r: 1, m: 2, h: 1, j: 6, d: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*w + 3*f, 0 = -4*w - 0*f - f + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -41. Let c = -1 + 0. What is the smallest value in u, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/7)*d**(2\/13))\/(d**(2\/11)*d**(2\/7)))**(12\/13) assuming d is positive.\nAnswer: d**(-8916\/13013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-29))\/(3004\/5257)*5*10\/(-175)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-891)\/(-22))\/(-3)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 85563.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -5, -0.3, -1, -21.07?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -161, -546, -1293, -2522, -4353, -6906, -10301?\n\"Answer: -20*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 36495.\nAnswer: -2\/36495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223 a factor of 1309833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, v: 4, r: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 431675047031 - 431675047224.000000799. Let n = 155.99 - -37.01. Let k = n + m. Round k to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 4. Let g be w(-3). Let h(k) = -k**2 + 4*k. Let a be h(3). Let r be 33\/a + 1 + g. What is the highest common factor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 - 3 + 15*q - 15*q)*(-q**2 + q**2 + 15*q**2).\nAnswer: -60*q**5 - 45*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4500 - -596. Let p be (n\/(-1))\/(3756\/1875 - 2). What is p rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 75 = 2*z, 5*x - 2*z = x + 86. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**6\/10 + 4*o**2 + 11*o. What is the derivative of z(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 25*b - 328. Let z be a(14). Solve 20*g = z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d + 16. Let x be f(5). Let l = x + -30. Suppose 2*g = -l - 2. Sort -5, 1, -3, g.\nAnswer: -5, g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.08 + -0.48. Let z = 19.8 - -6.2. Let x = z - w. What is x rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 17*k + 10. Let c be d(0). Let b(t) be the third derivative of 1\/30*t**5 + 0 + 0*t + 0*t**4 + c*t**2 - 1\/3*t**3. Factor b(x).\nAnswer: 2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z. Let x(l) = 2*l**2 + 5. What is x(h(g))?\nAnswer: 200*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-20 - 31 + 5)*(3 + 0 - 1) + 3 - 2 + 0 + 0 - 3 + 2)*(d + 2*d - 2*d).\nAnswer: -92*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3807 and 0.2.\nAnswer: -761.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1978324729 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -64738?\nAnswer: -6473a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 - 2*z + 52. Let p be d(6). Let n be 2\/(3*(-2)\/(-3)). Let r(l) = 3*l + 5. Let k(m) = -m - 1. Give n*r(g) + p*k(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13819*u - 5380*u + 4599*u - 2707*u.\nAnswer: -17307*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from {y: 1, r: 1, h: 2, i: 5, b: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189*w**3 + w + 13 wrt w.\nAnswer: 1134*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35799410.\nAnswer: 2, 5, 593, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/99 and 59\/963.\nAnswer: 10593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 93. Is (-4)\/(-16) - (p + 8215\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1573\/6 - 7847\/30. Which is the biggest value? (a) 0.12 (b) -0.08 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(((1*sqrt(30))\/sqrt(3))\/((sqrt(5) + sqrt(20) + sqrt(5))*-4))**2)*-5.\nAnswer: 3185\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*v = -2*v + 73, m - 2*v = 9. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 6*o**2 - 10*o - 4. Let y be -1 + (6 - 3\/3). Suppose -h + w - 7 = 0, y*h + 4 + 24 = w. Does 9 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 2*b**5 + 0*b**5 + 0*b**5 - 3*b**5 + 5*b**5 + 0*b**4 + 0*b**4 - 2*b**5 + (-1 + 1 + 2)*(-b**5 + 5*b**4 - 5*b**4) - b**5 + 2*b**2 - 2*b**2.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.2. Suppose 0 = -4*r + 5*r - 7. Suppose -4*n = -5*g + 5, -r*n + 2*n = 0. What is the closest to p in 4, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.2, 13.6, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*1\/4*0 - -511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 55. Let x be (3 - (-104)\/(-34))\/(3\/18). Let m = x - 16\/51. What is the second smallest value in m, g, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/l)\/l*l\/(((l*(l*l**(-4\/11))\/l)\/l)\/l)*(l*l**(2\/17))\/l*l\/(l\/l**(-7)) assuming l is positive.\nAnswer: l**(-6656\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4360412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mymy when four letters picked without replacement from {y: 1, h: 2, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + (15 - 9) + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) 16 (c) -2 (d) -9 (e) -1\/7 (f) -42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 4*y**2 + 6*y + 2. Let u(q) = -3*q - 28. Let j be u(-11). Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 10418 - 2464 = 0. List the prime factors of k.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 3. Suppose 0 = -3*y + 9*y - 24. Suppose -y*t = -78 - 62. Suppose -36*h = -t*h + 6. Let x(u) = -2*u + 4. Determine h*d(b) - 5*x(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29238 - 28777. Solve h*d = 471*d + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1573545 and 0.9?\nAnswer: 1416190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus -379531541?\nAnswer: -379531554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1809, -7989, -18295, -32727, -51285, -73969?\n\"Answer: -2063*x**2 + 9*x + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**5 - 11*a**4 + 20*a**4 - 4*a**5 + 386*a - 9*a**4 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p. Suppose -2*g + 23 + 51 = p. Let t = g - 26. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2\/47, -0.2936, -2, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(576) + sqrt(576)*-3))\/((sqrt(512) + sqrt(512)*2)*2).\nAnswer: -sqrt(3)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:28 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3*(-2)\/(-6). Let c be ((-2)\/q)\/((-3)\/6). Suppose -4*s + 68 = x - c*x, -4*x - 4 = -s. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 6, e: 4}. Give prob of sequence un.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f + f + (-1 + 6 - 3)*(1 + 2*f - 1) + 2 - 2*f - 2 + (3 + 81 + 54)*(3 - 2 - 2)*(0 + 0 + 5*f) in the form w + a*f and give a.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139916 rounded to 4 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 0 - 1 + 6 - 1 in the form j*c + l + s*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.28 (b) -4\/3 (c) -5\/7 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:17 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 10. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-16))\/(1770\/1416).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 507*x**5 + 2*x**4 + 4*x**3 - 2409538*x**2?\nAnswer: 30420*x**2 + 48*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j + 14*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 8*k**2 - 13*k + 7. Let q(z) = -7*z**3 + 16*z**2 + 27*z - 12. Let l(w) = -4*q(w) - 9*x(w). Is l(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4240\/23850 + (8\/(-18))\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21986 rounded to the nearest one hundred?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107150, -214274, -321372, -428432, -535442, -642390, -749264?\nAnswer: -856052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*u)*(1 - 603*u**2 + 3 + 822*u**2).\nAnswer: -876*u**3 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/3 - 58*o**3\/3 - 82*o**2 - 42*o + 144 = 0.\nAnswer: -24, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from {r: 9, z: 2, k: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 6*y**2 + 2*y - 1. Let p be k(4). Let v be (-45)\/p + (1 - 0). Is 0.1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 78389?\nAnswer: 78384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97032*k**5 + 482801*k - 3 wrt k?\nAnswer: 1940640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1398*n**2 - 29*n + 25. Let r(c) = 349*c**2 + 7*c - 6. Give 6*q(x) + 25*r(x).\nAnswer: 337*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-34)\/(-5)*(510\/(-36))\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1084 and -543?\nAnswer: -588612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 7*l - l**2 - 10*l + 5*l - 23*l**3 as d*l + a*l**3 + o + g*l**2 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -16, -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 - -2013300?\nAnswer: 2014100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.03, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -6*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-111)\/3*(-2)\/10 and (-4)\/(-2) - (-436)\/(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 15}. Give prob of sequence jj.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -129*((-6)\/(-4) - 4)*2. Let w = 1131 - o. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110161 is divided by 125.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -44, 19\/141, 1\/12?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20763 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -139.89 - 1.44363\nAnswer: -141.33363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 13. Let y(q) = 15*q - 19 - 6*q - 21. Let w(s) = -7*n(s) + 2*y(s). Find the first derivative of w(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -10*k + 5*u + 70, -90 = -5*k + u. Let d(b) = b**2 + 9*b - 1. Let j be d(k). What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhhfrjhjhhhjffrf. Give prob of picking 1 h and 2 f.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-5)\/45). Suppose -u*y + 5*y = -20. Suppose -2*l - y = -7*l. Solve 3 = -l*a + f, -5*a - f - 25 = 2*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.07, 75, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {u: 1, d: 7, v: 2, k: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/60 - a**2\/10 - 32*a. Factor s(o).\nAnswer: (o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745 divided by 915.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - 9*w**4 + 0*w**4 + (2*w**3 + 3*w**3 - 3*w**3 + (2*w**3 - w**3 - 2*w**3)*(-6 + 4 + 1))*(-3 + 3 + w + (1 + 0 + 1)*(97 + 9*w - 97)).\nAnswer: 51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203533692.\nAnswer: 2, 3, 29662349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115070 is divided by 5735?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2*(-26)\/(-3492)). Let o = k + 67. Which is the closest to -1? (a) o (b) -3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -34046*q**3 - 2*q**2 - 19*q. Let g be n(-3). Let w = -1025824 + g. What is w rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880 - (0 + -6 + -2 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**3*y**3 + 39*v**3*y + v**2*y**3 - 759*y**3 wrt v.\nAnswer: -48*y**3 + 234*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1518723 - -1518719\/3037446. Solve v*o**3 - 1\/12*o**5 + 0 + 1\/4*o + 2\/3*o**2 + 0*o**4 = 0 for o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*k - k - 3*z, 0 = 2*k - 3*z. Let s = k - -15. Suppose -6*g = -2*a - 3*g + 2, 0 = a - 4*g + s. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5 - 7*j - j**2 + 7*j. Let q be x(0). Sort q, -3, 3 in increasing order.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60243339 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110)\/(-20) - 3\/2. Let p be 13992\/y - (-1 - 1). What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10521 - 517209.38?\nAnswer: -506688.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 155.8651577+-3\nAnswer: 152.8651577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - -1.6. What is the third smallest value in 2, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ososssgsosssgosoos. What is prob of sequence sgs?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 52 = -2*p, 5*q - 2*p - 83 = 5*p. What is the greatest common divisor of q and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8*h = 0. Suppose 0 = -2*y + 2, h = q - y - 4*y + 3. Suppose 2*r + j + 56 = 5*r, 2*r - 40 = q*j. Solve 5*c = -2*v + 3*v + r, -2*v = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**7\/840 - b**6\/180 - b**4\/8 + 2*b**3\/3 + 2. Let p(y) be the third derivative of u(y). List the prime factors of p(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1319*q**2 - 5*q - 13. Give m(-1).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -489 or -11281\/23?\nAnswer: -11281\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.48 or 0.1?\nAnswer: -2.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6204 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4847741, 4847740, 4847739, 4847738, 4847737?\n\"Answer: -j + 4847742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198135021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264922173 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221012 (base 3) in base 5?\nAnswer: -21114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -25.\nAnswer: 98\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (-2 + sqrt(192))*1)*3)**2.\nAnswer: 5184*sqrt(3) + 62532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-66)\/(-110))\/(1\/10) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 742 (base 9) to base 7\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (19 + -57 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1030735 + -6198167\/6. Let r = -2279 - k. Find the common denominator of r and -85\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4)*-3*18 + -3. Let y = n - 122. Solve 3*w - 4 = 11, y = -r + 2*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 4089 + 883 - 3*d + 889 + 2317.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 189*p - 15*p = -752. Solve 0 = -49*u + 51*u + 5*v - 16, p*u - 5*v + 28 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - m. Let n = 30 + -19. Let k(r) = -2*r - 4*r**3 - 3*r + 7*r**2 + n*r**3. What is 5*a(x) - k(x)?\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.1. Suppose -3*l + l = 2. Let m be -1 + l + 16\/10. What is the smallest value in m, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95555215 divided by 332945\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 399019867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -14) + -4 - 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a - 49. Let p be g(6). Let k be 2 + 0\/((-4)\/p). Solve 15 = -5*j + k*r, 26 = -2*j + 5*r - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001 (base 2) in base 6?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:04 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6730833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/7 + (-4 - (-124)\/44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6243 is divided by 2074.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1741, 3476, 5195, 6892, 8561, 10196?\nAnswer: 11791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. What is the third derivative of 0*z**2 - 4*z**5 + 8*z**2 + 4*z**j + 4*z**2 wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5653.8 and -0.1.\nAnswer: -565.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/6 + f**3\/2 - f**2 + f. Let m be n(1). Suppose -4*o + 30 = -m*o. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*k + 22, k = -4*o + 4*k - 19. Let c be -2 + o + 10\/(-5)*-6. What is the highest common factor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {h: 5, r: 1, j: 1, n: 3, g: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1140*w**4 - 5*w**3 - 2*w**2 + w - 3106?\nAnswer: -13680*w**2 - 30*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/84 - 11*r**3\/42 + 9*r**2\/7 + 235*r - 1. Factor a(o).\nAnswer: (o - 9)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4905 + -4970.86. Let f = -78 - w. Let t = -12 - f. Which is the second biggest value? (a) -0.4 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 - z - 2. Let u(v) = 2*v**2 + 1. Let j(k) = -4*r(k) - 7*u(k). Suppose a - b - 4 - 3 = 0, -b - 22 = -4*a. Is j(a) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((9\/6)\/(-1)). Suppose t*c = 6 + 2. Suppose 0 - 8 = c*p. Put 2, 1, p in increasing order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 0, 13, 26?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.401904 and -2?\nAnswer: -0.803808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:19 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f)*(0 - 1 + 0) - f + 4*f - 2*f + 0*f + f - 2*f + 9*f - 9*f + 7*f + 4*f - f - 2*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {e: 1, o: 1, p: 2, b: 1, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*r - 6 - 5, -3*c = r + 1. Let x = 4 - 4. Suppose 2*k = x, 0 = -6*w + r*w - 2*k + 16. Solve 4*m = -2*g + 6 - 0, -w*g = 4*m - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(-10 - 1 + 5)*(-2*b**2 + 3*b**2 + 0*b**2) to l + k*b**2 + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/56 and (-6)\/16 + (-1029)\/(-2856).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 - -387. Suppose -8 = -2*t, 8*t = k*q + 3*t - 1080. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) - 31198\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 41*z**2 - 127*z + 4174. Give k(16).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62380037?\nAnswer: 107, 571, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let v(m) = -6 + 9*m + 6. Calculate v(j(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001 (base 3) to base 13.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22057 - -16?\nAnswer: 22072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 - z + 4. Let i(p) = -p**2 + 6*p. Let u be i(6). Let c be d(u). Differentiate -6*m**4 + c*m**4 + 3*m**4 + 2 with respect to m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Suppose -2*v - 2*d + d - 9 = t, -3*d = v + 2. Let c = v + 4. Sort -5, 4, c in increasing order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(4\/(-1))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1234.9303 + 0.0697. Which is the second smallest value? (a) 0.1 (b) 3\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52882878 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08891 + 0.79109. What is the closest to 1\/4 in q, -3, -28?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 259 = 4*s, 4*s + 0*s + 4*b = -280. Let i = -38 - s. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trittiiptpptitrtirs. Give prob of sequence pi.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)*h\/(h\/((((h*h**(-8))\/h)\/h)\/h))*(h*h**(2\/3)*h)**(-43) assuming h is positive.\nAnswer: h**(-4120\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/5 - 1\/15. Suppose 0 = 2*j - 2*s + 8, 2*s + 13 = -2*j - s. Which is the third biggest value? (a) -0.2 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68112 divided by 13.\nAnswer: 68112\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3672 and -29\/48960.\nAnswer: 146880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10846 is divided by 1548.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101011000001010 (base 2) in base 7?\nAnswer: -2262325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 + -7 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*52.\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3976*l**3 - 50352*l wrt l?\nAnswer: 23856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 527713805065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754161 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4062*j**2*u**3 - 75*j**2*u**2 - 167*j*u**3 - 28*u**3 wrt j.\nAnswer: 8124*u**3 - 150*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -463\/4? (a) 605 (b) -3 (c) 112 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 478592.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + q. Let k be 4444\/12 - q\/(-3). What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 4. Let n be (-6)\/(0 + (-6)\/4). Suppose -g + 6 = 2. Let t(y) = 3*y + 11 - g*y - 12. Determine n*t(w) - x(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094484 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77, -81, -85?\n\"Answer: -4*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -555 and 10532.4.\nAnswer: -5845482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulccllwrllccwr. Give prob of picking 2 w and 1 u.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 313*r - 3608. What is the smallest common multiple of a(11) and 2480?\nAnswer: 27280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -15, 34, 9, 2, 0 in descending order.\nAnswer: 34, 9, 2, 0, -15, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -150, -1\/2, -65?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 2. Which is smaller: o or -2\/21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 divided by 101\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -70450*o + 200. Let z(i) = i. What is n(z(f))?\nAnswer: -70450*f + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oougbmbggooogog. Give prob of sequence mu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.229\nAnswer: -0.0687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118634 + 175725. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 20*c + 1793. What is the remainder when 1083 is divided by x(-88)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*r + y, -4*y + 2 = 3*r + 3. Suppose 19 = -5*n - 1, -r*d - 3*n + 48 = 0. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*o + 49548, -16*p + 61967 = -11*p - 3*o. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.9053 + -38.083199. Let u = -0.178 - f. Round u to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in -0.4, -21, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/9 (b) 5\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 2093b65b?\nAnswer: -2093b656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 10. Solve 5*l - 2*u + 10 = 4, i*l - 2*u = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 18. Let t be 4*1*3\/6. Solve 0 + h = -t*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-24\/11)\/n**14)\/(((n*n*n\/(n\/n**34))\/n)\/((n\/(n*(n\/(((n\/n**(-3\/7))\/n)\/n)*n)\/n))\/n)))**(1\/65) assuming n is positive.\nAnswer: n**(-4139\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - 6 + 1 + 2*l. Suppose -12*y = -10*y - 10. Let x be (y - -7)\/(-2 - -4). What is v(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-13 - (-2)\/1). Let f be (i\/(-66))\/((-15)\/(-20)). Which is the third biggest value? (a) f (b) 2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19559 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -616562?\nAnswer: 2\/308281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6 - (-65511)\/(-594)) + (-16)\/(127 + 225)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199ad (base 14) in base 4?\nAnswer: -2103023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 14*l**2 - 4*l + 49. Determine a(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*r**2 - 1 + (-3*r + 8*r + 6*r)*(-9 + 9 + 9*r) in the form u + b*r**2 + t*r and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + o + 9 - 5, 2*x - 2 = -4*o. Sort x, -3, -17, -2 in ascending order.\nAnswer: -17, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:47 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -482a3?\nAnswer: -482a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 7*b - 45. Let p be o(11). Let n be 2\/195*5631\/(-10). Let i = -73\/13 - n. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/9 + 8*v**4\/3 - 52*v**3\/3 + 232*v**2\/9 - 34*v\/3 = 0. What is v?\nAnswer: -17, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + k - 140, k = 5*q + 174. Let f = q + 165. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602922966.\nAnswer: 2, 7, 41, 4534709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p + 49. Let n be h(6). Suppose -4 = -2*w + 4. Suppose -w*d + 83 + n = 0. Calculate the highest common divisor of 60 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -5 - (0 - 3). Suppose 3*s - 31 = 5*j - 0*j, -5*s - 15 = q*j. Solve 2*w = 5*l + 18, -3*l + 0 = -s*w + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 47484*y**2\/7 + 855198*y\/7 - 3849120\/7.\nAnswer: -2*(y - 9)**2*(y + 23760)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, -2, 34.4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3636.97 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2))**(-8) assuming n is positive.\nAnswer: n**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2634 and 348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39231 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (6 - 10) + -2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1456bb9 - -5?\nAnswer: -1456bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51\/15 - 3) + 258\/430. Solve c = -3*s - 2, c = 2*s - f - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**2 - 8*v - 374. What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 2, q: 7, i: 5}. What is prob of sequence iqqa?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u - 3*s + 19, 6 = -2*s. Calculate the common denominator of ((-56)\/(-3) - -1)\/((-7)\/u) and -47\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -113. What are the prime factors of (2068\/110)\/((-2)\/c)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 139, 135, 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 232 + -222 + (3 - 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65 - -25 - 13 - -23\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 7*l - 2. Let z be q(10). Suppose 2*v - 44 - z = 0. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -13. Suppose -3*f + 9 = 3. Calculate the least common multiple of x and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3778351 at least as big as -3778348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28219577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01284349648 to six dps.\nAnswer: -0.012843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2141 (base 12) to base 4\nAnswer: 321001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (4 - (8 + -11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - d + 6 = 0, 0 = 5*v + 2*d + 3*d - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 8?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 + s + 21. What is t(-5)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*n + 48*n - 1188. Suppose -3*x + n = 4*s - 6*s, -2*s = -5*x + 660. What is the greatest common divisor of 330 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 11*t - 25*t. What is the highest common divisor of 336 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 9*w - 1. What is the units digit of l(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382984 is divided by 15957?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 2. Let a(c) be the second derivative of 0 - 1\/20*c**5 - 2*c - 5\/2*c**2 + 1\/3*c**4 + c**3. Let g be a(5). What is b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 - 8*o - 2. Let q be f(-3). What is the units digit of (-3 - -1)*q\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Let c be (-30)\/1*1\/(-11). Let y = 199\/77 - c. Put y, -5, o in ascending order.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, -s - 3*g + 2 + 4 = 0. Suppose s = 5*m - 9. Solve m*f - 4 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o + 10. Let l be v(3). What is the third derivative of -l - 31*u**2 - 24*u**5 + 3 - 2 wrt u?\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvbgblhvglgx. What is prob of picking 2 b and 1 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -844\/7 - -9091\/70. Calculate the common denominator of -4 - (0 - (-5545)\/(-1450)) and h.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 5*z**4\/12 + z**3\/2 + 4*z**2 - z - 172. Let o(b) = b**2 + 1. Determine -6*o(g) + r(g).\nAnswer: -g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.134600328 - -0.07.\nAnswer: -0.064600328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y**2 + 12*y - 3. Let c(p) = 7*p**2 - 4*p + 1. Let j(g) = 6*b(g) + 17*c(g). Is j(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-59)\/(-3). Let f(k) = -k + 16. Let r be f(11). Let t be (p*20)\/((15\/672)\/r). What is t rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.89 - 2.79. What is the nearest to 0.1 in 10, b, 1, -4\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 3 + 4 + (1*(sqrt(396) - (5 + 1 + sqrt(396)) - sqrt(396)))**2).\nAnswer: -884 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 6*b + 7. What is w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17.6+15876551665\nAnswer: 15876551647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*63\/14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2340*p + 2096*p = 2648*p + 998*p + 287860 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -291*m - 8694. Give a(-33).\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 1. Let s be z(1). Suppose s*b + 0*d + d - 189 = 0, 4*b - 157 = 5*d. Suppose v = -4*y + 204, -2*y - v + b = -64. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a*a)**(1\/14)*(a**(2\/11)\/a)**(-11) assuming a is positive.\nAnswer: a**(503\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**5 + 42*v**3 - 42*v**3 + (-4*v**2 + v**2 + 5*v**2)*(1 + 2*v**3 - 1) + (0 + 3 - 1)*(-v**5 + 2 - 2).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose -o = -3*b + 6. Calculate the smallest common multiple of (-2)\/(-7) + (-54)\/(-7) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:34 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18131.211 rounded to the nearest ten?\nAnswer: -18130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 356, 1199, 2836, 5531, 9548?\n\"Answer: 44*r**3 + r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40895 is divided by 65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(52) + -3 - (sqrt(143) + sqrt(143)*-1*5)\/sqrt(11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18470356 is divided by 1131?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 54 - 66. Suppose -7*u - 2230 = -17*u. Suppose 3*l + 4*n - 78 = 143, u = 3*l + 2*n. What is the highest common divisor of l and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**4 - 15*k**4 - 75*k**4)*(-4*k + 5*k - 2*k).\nAnswer: 78*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*x + 7 - x**4 + x**3 + 52*x as b*x + j + y*x**2 + l*x**3 + a*x**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100500 + -0.2.\nAnswer: 100499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/6 - 5*m**3\/6 + 3*m**2 + 4*m. Let d = 24 + -19. Is v(d) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*g - 19 = -4*g, 2*g + 2 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 810, 1622, 2444, 3276?\n\"Answer: 5*s**2 + 797*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 less than or equal to 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-6882)\/592)*(1 - (-74)\/(-44)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 4*n - 3*n)*(3 + 2 - 2)*(4*n**3 - n**3 - 2*n**3) to h*n**3 + s*n**2 + p + q*n + k*n**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18678504568475 + -4.\nAnswer: 18678504568471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -5 + (sqrt(500) + 0 + -3 - (sqrt(500) + 1)*4)*3.\nAnswer: -90*sqrt(5) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.44 or 24\/5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r - 74*r + 47*r + 2330 = -88 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.11 + -4.9. Let i = 2680 + -2694.11. Let y = i + k. Round y to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66*-2*3\/(-12). Let t = j + -29. Suppose -t = -2*f - 0. Solve -5*l - f*c + 3 = c, l + 5 = -2*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 1082*m + 26544 = 0. Calculate m.\nAnswer: -1106, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 12:53 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = 7*x - 61*j + 33*j + 3, -9 = -3*x + 3*j - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-22)*(-9)\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 7*b**2 - 8*b + 9. Let j be m(6). Let i(g) = -g**2 - g + 1. Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 11 = -9*f. Sort 1\/11, -1\/4, f in descending order.\nAnswer: 1\/11, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1285*g**2 - 4*g + 1. List the prime factors of d(1).\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 - 40\/(-80). Solve o = -59*i + 58*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-4 - -1) - (-8 + 1)) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*g + 1018, 0 = 3*d + g - 854 + 103. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -88308*w**3 - 5*w**2 + 10. Let v be x(4). Let i = v - -1761782. What is i rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = s - 15, -k + 77 = 4*s - 4*k. Suppose 3*l + s = 7*l. Suppose -l*q - 792 = -9*q. What is the greatest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/28 - 13*u**6\/480 + u**5\/80 - 601*u**2 + 1. Suppose d(w) = 0. Calculate w.\nAnswer: -3\/5, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 90.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19*y**3 + 3*y**2 + 2*y - 1. Let l(r) = -19*r**3 - 4*r**2 - 3*r. Let w(s) = 4*l(s) + 5*m(s). Suppose -54*i + 34*i = -100. Is w(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.2. Let s be 142\/(-78) + 1 + 38\/57. Which is the biggest value? (a) s (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -151372, -151373, -151374, -151375, -151376, -151377?\n\"Answer: -w - 151371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 - 0 - 1)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + (2 - (-1 + 1)). Suppose -48 = -5*v + i*c, 3*v = 3*c + 41 - 14. What is the derivative of 21 + 22 - 20*r - 13 + v*r wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24223 - 6410. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 596 = 2*i, -i = 3*u - 141 - 165. What is the least common multiple of 930 and i?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2159311*q**3 - 1114125*q.\nAnswer: 12955866*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**24*l)\/(l\/(l*l\/(l\/(l**(-11)*l))))*l*l*l*l**(-1\/8)\/l*l*l*l*l*l**17)**(-47) assuming l is positive.\nAnswer: l**(-14241\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*w - 2*w - 1673, 4*w + v = 6675. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74322282.\nAnswer: 2, 3, 971, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 7*t + 1. Let v be (-3)\/3 + t - (0 + -3). Let h be 2\/(-2*2\/(-10)). Put -5, h, v in descending order.\nAnswer: h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m*m**(2\/7)\/m))\/(m**(5\/3))**0 assuming m is positive.\nAnswer: m**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 5*i - 21 = 0. Solve 4*z - 1 = i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.242 - -0.042. Is 10 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164159397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 + 16. Let t(s) = -2*s - 198. Determine i(t(p)).\nAnswer: 24*p**2 + 4752*p + 235240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b1223 (base 12) in base 6?\nAnswer: 4533243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4090*d - 2388*d = -4449*d + 115653 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 16, -159, 2 in ascending order.\nAnswer: -159, -3, 2, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3402, 20062, 49982, 93162, 149602, 219302?\nAnswer: 302262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 285613190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 6517.\nAnswer: 6517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67094 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3384 - 3368. What is the highest common divisor of u and 2984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*y + 22 = 0, -1 = 2*y + 9. Find the second derivative of -34 + 34 - 2*a + n*a**2 wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*s - 35*s + 144*s)*(-1 - 2 + 5) + (-1 + 0 - 1)*(0*s + 3*s - 12*s + (s - 3*s + 4*s)*(-4 + 5 + 0)).\nAnswer: 134*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*d**4 - 252*d**2 - 710*d**3 + 519*d + 15*d**5 + 390*d**2 + 176*d**3 - 105 + 51*d**4 = 0. Calculate d.\nAnswer: -5, -1, 1\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 + -5.11. Let k = 60.06 + -60. Sort k, c, -2\/3 in decreasing order.\nAnswer: k, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999668653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 2248, -229, 4 in ascending order.\nAnswer: -229, 4, 76, 2248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217a (base 11) to base 6.\nAnswer: 21142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120894 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 7*k**2 + 7*k - 15. Let y be m(-5). Suppose 4*c - 5*q - y = 0, 5*c - q - 174 - 24 = 0. What is the least common multiple of 4 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228.2 + 228. Which is the second biggest value? (a) 16\/3 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - g. Let i be x(1). Let r be (-10 + i)*1\/(-6). Which is the smallest value? (a) r (b) 3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5541589023.803\nAnswer: -5541589024.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9071101 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -221508357.9 and -5?\nAnswer: 221508352.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 618*i**2 - 3635*i + 333. What is d(-303)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 287959440 by -3.\nAnswer: -95986480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432813 to the power of 1\/2, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15021 + -11658. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2633, 10585, 23841, 42407, 66289, 95493?\n\"Answer: o**3 + 2646*o**2 + 7*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -42, 4, -6 in ascending order.\nAnswer: -117, -42, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 20527470?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73186206?\nAnswer: 2, 3, 12197701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + 1 + 5)) + 2 + (sqrt(5) - sqrt(10)\/sqrt(2) - sqrt(5)) + -5 - (-3*sqrt(30)*1)\/sqrt(6)*-2.\nAnswer: -7*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28590074427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + -2 + -4 + 2. Let d(a) = -667 + 667 + a. What is d(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-18))\/(((-54)\/(-135))\/((-12)\/(-25)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 25419 - 25419 + 28*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125145 and 5235.\nAnswer: 43675605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 71. Round l to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 469, 475, 481, 487, 493, 499?\n\"Answer: 6*c + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 - 0)) + 5 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b - 380 = 373*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05876 + 1.94124. What is the closest to 1 in -2\/15, 3\/2, r, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85574\/9 - 9508. What is the fifth biggest value in 4, -37, g, 0, 3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/104 + 5\/(-40) - 4\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) -4 (b) -1 (c) -0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from dgdoddggdodddgg?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -22. Let s be 16\/7 + 34\/(-119). Let v be (s\/(-4) - 0)*-2. What is the greatest common divisor of v and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.15 + -31. Let p = 0.48 - 0.13. Let w = m + p. Sort 0.08, 3, 2, w in decreasing order.\nAnswer: 3, 2, w, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 + 40*v**4 + 448*v**3 + 536*v**2 - 1020*v = 0. What is v?\nAnswer: -5, -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 48*n**2 + 5 - 1.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.375949 millimeters to micrometers.\nAnswer: 1375.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 56*c**3 - 53*c**2 - 133*c - 41. Let t(i) = -7*i**3 + 7*i**2 + 17*i + 5. Let v(y) = 8*d(y) + 68*t(y). Determine z so that v(z) = 0.\nAnswer: -1, -1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 3640*y - 1656200.\nAnswer: -2*(y + 910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, -4, -2\/5, 0.13, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1280)*1 + sqrt(1280) + sqrt(1280) - sqrt(1280)) + sqrt(1280) - sqrt(1280)))\/(sqrt(64)\/sqrt(4)*4).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 + 351*f**2 - 9*f**3 - 355*f**2 + 8. Let p be a(-2). Let y = 4 - -4. What is the greatest common divisor of y and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71202300 is divided by 4990.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (sqrt(10) + sqrt(1000) + sqrt(10) - sqrt(10))\/(sqrt(35)\/(sqrt(7) + sqrt(63) - sqrt(7)))*-2.\nAnswer: -66*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - j**2 - j**2)*(-j + 2*j + 0*j) - 44*j**2 + 17*j**2 - j**3 + 16*j**2 to g*j**3 + x*j + v + s*j**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m - k, -3*m + 6*k = k - 12. Let o(n) = 4*n + 1. Let w be o(m). What is the smallest value in -5, w, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 12 + 18. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12861419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279270 and 5595.\nAnswer: 104167710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 13*m = 12. Suppose -4*i - m*i = -1266. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.06681 (c) -690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + k + 563*k - 465*k + 160*k + (6 - 6 + 7*k)*(2 - 3 + 2) + 0*k - k + 2*k.\nAnswer: 267*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -8 - ((0 - -3) + (-8 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173730 is divided by 586864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/13 (c) -0.01 (d) -9 (e) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159724 is divided by 1631.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - 69\/(-21). Let t(s) = s**2 - 3*s - 5. Let i be t(6). Suppose -5*g + i = 3. Solve 0 = g*x + l*c + 1, 2*c = -1 - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268.94 + 265. Let y = u + -0.06. Let w be (-5)\/((-35)\/77) - 12. What is the nearest to w in y, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5504*m. Let v(q) = -3*q**2. Determine f(v(h)).\nAnswer: -16512*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/(-18))\/(6760\/312) + 12\/(-52).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -293, 4, -2\/17, 0.04?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 - 2*m**2 + 8*m + 9. Let b be w(-1). Let s(u) = u**2 + 8*u + 5. What is s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u + 1. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246, -2481, -3716, -4951, -6186?\nAnswer: -7421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10810, 8, 4, -1 in decreasing order.\nAnswer: 10810, 8, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2291 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130703 is divided by 11881?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5688 and 540?\nAnswer: 85320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21611244.66 to the nearest 10000.\nAnswer: -21610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 - 0)*0\/(-9). Suppose 3*f - 5*y = -8, -3*f - 4*y + 8 = -5*y. Let k be 90\/25 - f\/(-10). Solve 0 = -k*m + c*t - 14, -4*t - 21 = 3*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*r + 47 - 0, -5*t = 4*r - 54. Let z(j) = -j**3 - 8*j**2 - 3*j + 13. Calculate the remainder when z(-8) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/3)*q\/((q\/(q**(1\/3)\/q*q))\/q)*q**(2\/17)\/((q**(-3\/5)\/q)\/q)*(q**(3\/2)*q*q*q**(-3))**(-2\/29) assuming q is positive.\nAnswer: q**(14009\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 85491.2577 to the nearest 100.\nAnswer: 85500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.95 - 1. Which is bigger: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*o + 543*o - 271*o + 283*o**2 to z*o + g + x*o**2 and give x.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142388485?\nAnswer: 5, 131, 217387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045946?\nAnswer: 2, 11, 47543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 3, -113 in descending order.\nAnswer: 11, 3, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 206628828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*r + 90*r + 38160 = -397*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 7. Let a be x + (-3)\/1 + 12. Suppose 4*y - 3*l + a = 0, 4*y + 4*l = l + 6. Solve y = -3*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1581, -5371, -11689, -20535, -31909, -45811, -62241?\nAnswer: -81199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5406*c + 5392*c + 2142 = 0. What is the remainder when 949 is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -3, -1, -6\/5, -0.275 in ascending order.\nAnswer: -3, -6\/5, -1, -0.275, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 9 + (0 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 52*s**2 - 65*s - 429. Let c be g(-4). Calculate the highest common factor of 507 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-31 + 1)*((-95)\/25 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 10. Let s be o(-7). Let m(c) = 6 - 1 + c**2 - 5*c - 7. Let y be m(6). Solve j + s*j = 4*q - 4, -y*j + 3*q = 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1873401*m + 1873403*m = 2*t + 4*t + 128, -4*t - m - 90 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 2*g + 31 + 37 + 9*g - 180.\nAnswer: 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 - 5. Let n be l(6). Let u = n - -12. Let q = 33295 + -33293. Calculate the greatest common divisor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233\/6 - -467\/12. Let g = -0.2 - -0.3. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -26. Let a(y) = -15*y + 1. Let s be a(-1). Calculate the highest common factor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 22*o**2 + 45*o - 32. Calculate l(24).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*t + 15 - 23 + 6 + 24 = 0, -4*c = -3*t - 34 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 12. Let z(n) be the second derivative of 0*n**l - 1\/30*n**6 - 1\/20*n**5 + 0 - n + 0*n**4 + 0*n**3. What is h in z(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 9*x**2 + 12*x - 17. Let m be g(10). Let o be 12\/9*m\/1. Solve -t + 6 = -4*u - 2*t, o*u - 4*t - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-20)*j)*j**(-16)\/j*(j\/(j**0\/j))**(-50))**10 assuming j is positive.\nAnswer: j**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -3. Let l = r + -13. Suppose u - 4*i - 13 = 0, -l*u - 4*i = -21 + 9. Solve -3*z - 3 = -5*g - 0*g, 0 = u*z + 5*g + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x + 12 = 0. Suppose 0 = x*i - i - 9. Differentiate -i*a**3 + 6 - 54*a**2 + 54*a**2 - 5 with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 + 3*s**2 - 5 - 8*s**3 + 16 - 2*s to the form h*s**3 + q + d*s + u*s**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 13. Calculate the least common multiple of y(-9) and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/320)\/((-2)\/8). Sort h, 3, -76.\nAnswer: -76, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4570 by 914.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8*s + 1 + 14 = -27, -2*s = 5*o - 159 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - n + 3148916 = 0, b - 15*n + 20*n - 787191 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 18 + 12. Let q be ((-100)\/b)\/((-3)\/18). Let o = -46 - q. What is o rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 12. Let s = 2617 + -2568. What is the highest common divisor of o and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.285633 millilitres in litres?\nAnswer: 0.002285633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 22*z**2 + 24*z + 36. Let u(x) = x**3 - x**2 + x + 1. Let f(j) = o(j) - 6*u(j). Is 7 a factor of f(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**3 + 2*a**4 + 9 - a**3 - 10 + a**2 - 8*a + 5*a in the form r*a**2 + u*a**4 + s + c*a + k*a**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + 3 + 3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02997 - -2.97003. Sort 0.3, 0.4, -4\/63, w.\nAnswer: -4\/63, 0.3, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(11)*-1 + sqrt(891)*-2 + sqrt(11)) + 4 + ((sqrt(11) + sqrt(1331)*-2 - sqrt(11)) + 4 - (-4*(sqrt(11) + -1*sqrt(11)) + -3)**2).\nAnswer: 15 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4*j - 7, n - 5772 = -j - 5779 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535 + 429 = -10*p + 307 - 403 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 132 = 68. Suppose 12*h - 14*h + 70 = 0. Calculate the greatest common divisor of v and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -76, -173, -308, -481, -692, -941?\n\"Answer: -19*l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2928905.70655.\nAnswer: -2928902.70655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5602, 5373, 5182, 5047, 4986, 5017, 5158, 5427?\nAnswer: 5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from {w: 2, k: 3, u: 10, r: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h + 2*j, 16*h = 13*h - 7*j - 50. Sort h, -4, -9 in descending order.\nAnswer: h, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101 (base 2) to base 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + 79. Let g = 141.00000067 - y. What is g rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 13, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let r be (10\/(-6)*1)\/((-22)\/66). Suppose 7*b + 2 = -r. Calculate n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 19 (b) 1\/2 (c) 1.2 (d) -4366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j - 10 + 4 + j. Let w be (-3 + 0)\/(-14 + 341\/22). Let k be o(w). Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2741.\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5086.502*-5.\nAnswer: 25432.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 0 - 31*k + 1. Let z be l(-1). Suppose -18 - z = -4*u + 4*j, -u + 3*j + 6 = 0. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1592, 0, 0.2, -0.1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104884 or -23?\nAnswer: 104884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**7\/420 - d**6\/360 - 2*d**3\/3 + 3. Let p(l) be the third derivative of s(l). What is the third derivative of p(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/(-429))\/((-2)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20943910891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*d - 72*d = 480. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + z**2. Let w be t(1). Suppose -w*r - 1 = -7. Suppose 12 = 2*i - 4*g, -5*g + 2 = 5*i - 13. Put i, 0, r in ascending order.\nAnswer: 0, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 33*v - 139*v - 14162 = 12*v, 3*p - v = 6*p + 83 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0 + 8. Suppose l*z + 2*z = 0. Is z greater than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7923 divide 1811134365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/3019 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 796340 - 313623 = -3*u, -3*d = 2*u - 3329945. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 1. Let a be h(-2). Let x(q) = 2*q**2 + 2*q - 3. Is 24 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10636 (base 10) in base 15?\nAnswer: -3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1068\/5 - 214. Let s = 44.4 + -44. Which is the fourth biggest value? (a) s (b) -0.3 (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s**2 + 3*s + 3. Let q(c) = -816*c**2 + 128*c + 128. Give 128*b(n) - 3*q(n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times -13.268971?\nAnswer: 18.5765594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31878 - 31878.1. What is the closest to -2\/3 in 3, 4, 15\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1045 - 4?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.66 - -676.66. Let s = g - 786.6. What is s rounded to 0 decimal places?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2360 = 2*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.262 + -0.138. Is 0.09 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47527313 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 365 = -269 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.043 in -5\/209, -0.0188, -1\/4?\nAnswer: -5\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 40 = 2*i, 5*i - 2*i = -5*b + 40. Suppose b*s - 4*s = 16. Solve 0*x + 2*x - 14 = 4*d, -s*x + 4 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/3)*f\/f**(-8\/7))\/((f*f**(-4\/7))\/(f\/(f\/f**(3\/13)))) assuming f is positive.\nAnswer: f**(440\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 2*w**2 - w + 6. Let k be x(3). Let s = -52 + k. Solve 6*c = c - 5*n + s, -4*n = 3*c - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-49)\/10))\/((-5)\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 113.4. Which is the fourth smallest value? (a) u (b) 0 (c) 13 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66865838621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096 divided by -4?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*n - 1 = 0, 3*n - 120 = g - 6*g. Let x(v) = -5 + g*v - 11*v - 1 - 5*v - v**2. Calculate x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -948*a**6 + 453*a**3 - 444617*a**2 + 3*a?\nAnswer: -113760*a**3 + 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.2. Suppose 252 = 11*f - 12. Let h be (2\/36)\/(((-102)\/f)\/17). Which is the biggest value? (a) -2\/7 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, p: 2, f: 2, h: 2, m: 1, j: 2}. Give prob of sequence mpj.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -15. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*f**3 + 57\/2*f - 9 - 63\/2*f**2 - 3\/2*f**4.\nAnswer: -3*(f - 6)*(f - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4597 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19136, 38220, 57330, 76472, 95652, 114876, 134150?\n\"Answer: w**3 + 7*w**2 + 19056*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8390612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39950860 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-22) + (-2)\/11. Suppose 5*n = -2*z + 21, n - 5 = o*n. Let d = -22 + z. Solve 2*h = -d - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 2 - (-17 - -25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, 821, 2562, 5013, 8180, 12069?\nAnswer: 16686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1579, 3612, 5585, 7468, 9231, 10844, 12277?\n\"Answer: -5*t**3 + 2068*t - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*w - 7. Let b = w - 6. Let t(d) = -d + 4 - b - 1 - 2. Calculate t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000251893 rounded to 7 decimal places?\nAnswer: 0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let t(q) = 6*q - 3. Let z(w) = -30*w + 16. Let v(y) = -y**2 - y + 3. Let c be v(2). Let i(d) = c*z(d) - 16*t(d). Give -i(h) + 4*l(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4194438 - 1238?\nAnswer: -4195676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 5150*v + 1311000.\nAnswer: 5*(v - 570)*(v - 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335\/6 - -56. Let p(l) be the first derivative of 0*l - q*l**2 - 4\/15*l**5 - 1\/2*l**4 - 4\/9*l**3 - 1\/18*l**6 + 1. Find r such that p(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let m = 2 + a. Let b = m + 8.2. Round b to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 33, 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2\/7 (c) -2\/109 (d) 0.117 (e) 1 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11848 - 11232. Solve 0 = 592*l - j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. What is the second biggest value in -3, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2864 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-735)\/98. Suppose -6*h + w*h + 2*j - 48 = 0, -5*h = -3*j - 80. Solve -6 = 3*o + v - 19, 0 = -3*o + 2*v + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(2736) - (-1 + sqrt(114)\/sqrt(6)).\nAnswer: -73*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -73397, 22, 1.3 in descending order.\nAnswer: 22, 1.3, 1\/9, -73397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:54 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let r be ((-6)\/(-4))\/(f\/4). Sort 1, r, -5 in decreasing order.\nAnswer: r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3878884388 to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*s**3 + 486*s**3 + 139*s**3 - 15*s**3)*(s - 4*s - 4*s) - 21*s**4 + 0*s**4 + 9*s**4.\nAnswer: -4814*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 25\/6, -2\/3, 0.5, 4 in descending order.\nAnswer: 25\/6, 4, 0.5, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 25 (b) -390 (c) -2\/9 (d) 1\/192 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 7. Let y(d) = -d - 1. Let s = 9 + -6. Suppose b + s = 2. Give b*q(n) - 6*y(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180\/103 + 10093\/412. Find the common denominator of h and 71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 4069212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -196, -438, -776, -1210, -1740?\n\"Answer: -48*j**2 - 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 13 = 37 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*z - 22 = 0, -4*s + z + 4 = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -1c78768?\nAnswer: -1c7875b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(5*l**2 - l**2 - 5*l**2) + 7331*l - 9*l**2 + 2*l**3 - 7373*l + 10*l**2 + 1.\nAnswer: l**3 + l**2 - 42*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 8623.\nAnswer: -1724.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15382174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36522*p**4 + 205708*p**2 + p.\nAnswer: 876528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1423940 and 68291.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/((-42)\/(-18)))\/3 - -23398. Let k(i) = 23405 - i - 2*i - i - v. Determine k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*x. Suppose x*f = f. Suppose 9*m = q + 4*m - 6399995, 3*q - 3*m - 19199997 = f. What is q rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -52*p. Suppose 444 = -10*m - 116. Let n(w) = 2*w. Let k(y) = m*n(y) - 2*q(y). Let o(s) = 3*s**2. Determine k(o(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/19 + 31278*s**3\/19 - 163020924*s**2\/19 + 283004136360*s\/19 + 850480442064\/19.\nAnswer: -2*(s - 5214)**3*(s + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202233331112 (base 4) to base 3.\nAnswer: 122010210122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*((5 + (sqrt(500) + 2 - sqrt(500) - sqrt(500) - sqrt(500)))**2 + (2*sqrt(500))**2*-5 - ((sqrt(500)*2 + 0 + sqrt(500))**2 - (3 + -1*sqrt(500)))).\nAnswer: 290*sqrt(5) + 12447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-62)\/775).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219140860?\nAnswer: 2, 5, 31, 353453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72919?\nAnswer: 7, 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2812*r**5 + 3048*r**2 + 1.\nAnswer: 168720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.374 and 0.1.\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2. Let q be r(2). What is the third derivative of 3*x**2 + 9*x**6 - 2*x**6 - 7*x**q wrt x?\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850730213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 11102001?\nAnswer: 11101301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 287948*n**2 - 5181984192*n + 5182272144 = 0. Calculate n.\nAnswer: -35994, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/9 + 57944*u\/3 + 347672\/9 = 0. What is u?\nAnswer: -2, 86918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1814155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 y when four letters picked without replacement from {y: 4, b: 2, c: 3, t: 1, u: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 38 = 5*w + 6*o, -w = -4*o - 12. Let u be ((-3)\/(-2))\/(w\/(-32)). Let s(z) = 3*z**2 - z - 3. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j + 75 = 250*j + 5*f, 5*j = -5*f + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/4 - b**3 + 35*b**2\/2 + 46*b. Is i(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:54 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 35 - 20 = 5*w, 0 = -5*b. Let j = w - -18. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8425 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 11264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -413*s**4\/24 + 215*s**3\/6 + 633*s**2. Differentiate f(c) wrt c.\nAnswer: -413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 15 (b) 3\/17 (c) -1 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let r(h) = -5*h**2 + 2*h**o + 7 + h - 3*h**2 - h**3. Let y be r(-6). What is the second biggest value in 0.1, 0, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -33*n**2. Let u(y) = -3057*y. Determine u(g(o)).\nAnswer: 100881*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/55)\/o**15 assuming o is positive.\nAnswer: o**(-823\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/11 + ((-32)\/(-3))\/4 + -4. What is the second smallest value in -0.7, x, -0.17?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/14)\/(680\/(-544))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 + 5 - 7 + 4*d. Let q(r) = -3*r. Suppose 0 = -0*o + 4*o + p - 1024, -2*o = -4*p - 494. Suppose 0 = -6*i + 219 - o. Calculate i*a(y) - 7*q(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5045081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 106*a - 11588. Let h be b(173). Solve -26*c + 23 + h = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1116354, -1116551, -1116748, -1116945, -1117142?\n\"Answer: -197*l - 1116157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55420026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22408, 23101, 23554, 23647, 23260?\n\"Answer: -20*a**3 + 833*a + 21595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1473309 and 212463?\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, -2\/11, -1\/5, 2, -1\/4.\nAnswer: -4, -1\/4, -1\/5, -2\/11, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 547489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 45 = 5*t, 3*t + 9 = -0*t. Let w = v + -2. Solve 4*x = w + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/581696 and -9\/22.\nAnswer: 6398656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:22 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 85 - 389 = -1425 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7774, -7502, -7230?\n\"Answer: 272*q - 8046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1564 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - 571\/(-5). Suppose -2*k = -0*s + 3*s - 58, 5*s - k - g = 0. What is the smallest common multiple of 18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 7, -2, 2\/3, 1.6, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5 + 5*y + y**2 + 2 - 4. Let s be v(-6). Suppose -3 - s = -3*g, -20 = -5*q - 5*g. Solve q = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418 = -37751*w + 37713*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783342734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 - h. What is o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3554732mm in nanometers?\nAnswer: 355473.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 + 17 = 4*v, -10 = -2*g. Suppose 2*f - 39 = i, 0*f = v*f - 3*i - 49. Calculate the greatest common factor of 68 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 33 = -5*t. Let p(l) = -3847*l**2 - 12*l - 13. Let f be p(t). Round f to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72912 and 563766.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -94. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/15*14598\/16. Let f = m + 731. What is the common denominator of -39\/2 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4443 = 5*g, -5*g - 3*l + 463 = -3978. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -4. Suppose 3*n - 4*d - 117 = 0, 4*n - t*n + 58 = 4*d. Suppose 31*i = 35*i - 16. Solve i*l = -5*k, 2*l + l - n = 5*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 34. Calculate x(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = a + 1, 0 = 4*a + 32*x - 30*x + 26. Let w be (126\/(-56))\/(a\/8). Solve -w*p - 4*g - 14 = 0, 9 = 5*p - g - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:52 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 6 = 0. Suppose u = -a*u - 4. Let j = -0.09 + -0.21. What is the smallest value in j, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hekx when four letters picked without replacement from {h: 1, k: 1, e: 1, x: 1, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -368\/3 - -121. Let j = -0.14 + 0.3. Let d = 0.14 + j. What is the third biggest value in d, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 8*q + 12 = 2*k, -4*q + 5*k - 16 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:24 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1100010210120?\nAnswer: 1100010210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17c49 (base 15) to base 6\nAnswer: 1352323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2305380 and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -11.49942\nAnswer: 45.99768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7977249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5110177, -10220411, -15330645, -20440879, -25551113?\n\"Answer: -5110234*o + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 70\/3 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 + 18208555*l - 72834300 = 0. Calculate l.\nAnswer: -3641715, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 3*b + (5 - 3 + 3)*(4*b - 4*b + b))*(4*b - 4*b - b) - 2*b**2 + 3*b**2 - 3*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -632 divided by -26?\nAnswer: 316\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**7\/210 + 16*p**6\/75 + 17*p**5\/50 - 8*p**4\/15 - 11*p**3\/10 + 9*p + 134. Suppose a(f) = 0. Calculate f.\nAnswer: -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 14*l - 4. Let a be y(-12). Let h be (a\/20)\/(2\/(-10)). Let b = -44 + h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87381500 rounded to the nearest one hundred thousand?\nAnswer: 87400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/3 + 3*q**2\/2 + q. Let a be j(4). Let t = a - -8. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27685370 and -1412.\nAnswer: 27683958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84039 divided by 771\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**4 + h**2 + 1 + 5*h + 0*h + h**3 + 0*h - 4*h as j*h**4 + d*h**3 + l*h**2 + k*h + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-35) + 1)*(-20)\/(-8). What is the second smallest value in i, -1, 7543?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10*d - 27813 + 27707 = 0, 15 = -2*j - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 - 4) - ((32 - 43) + (-38 - 3)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/42195 or -1?\nAnswer: 2\/42195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169\/3 + -347\/6. What is the fourth smallest value in 4, b, -3, 12, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, -0.4, -1, 0.2, 2\/29, -19127?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -298224*i + 298228. What is l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 9552222?\nAnswer: 9552222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*14.\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 154 + 30 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 525 - 525.1. Sort 0.5, o, 3\/4, 2 in decreasing order.\nAnswer: 2, 3\/4, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 82 (c) -2\/27 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4 = -16. Let w(u) = u**3 + 4*u**2 + u + 3. Let o be w(-4). Put o, g, 4 in decreasing order.\nAnswer: 4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -4*g + 3*w, 5*w + 281 = 5*g - 84. Suppose -g = -7*u + 72. Suppose -3034 = -u*h + 18*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**3\/3 - 47*s**2\/2 - 1205*s - 1859. What is the first derivative of c(o) wrt o?\nAnswer: 4*o - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 2112?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 4, -21, -64, -125, -204?\n\"Answer: -9*k**2 + 20*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -4 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3580 - 3559. Which is the second biggest value? (a) 7\/3 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 946 + -829. Let d(a) = -26*a - 7. Let j be d(2). Let n = -50 - j. Calculate the greatest common factor of n and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3)*-4)\/(156\/351). Suppose -742 = -k*v - 88. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*sqrt(432)*-3 - (sqrt(432) - (-4 + -1 + sqrt(432) + sqrt(432)))))**2.\nAnswer: 1344*sqrt(3) + 84688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 118431800 to the nearest 100000.\nAnswer: 118400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**8\/10080 - l**7\/5040 - l**6\/1080 + 2*l**3 - 16*l. Let m(u) be the second derivative of p(u). Factor m(r).\nAnswer: r**2*(r - 2)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 72 = -7*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540.33 - -592.3. Round n to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9192528 is divided by 180.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybybnhobybb. Give prob of picking 1 h, 1 n, 1 b, and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/(-2)*-15. Let r(z) = -z**2 + 2*z - 2. Let p(f) = f**2 - f + 1. Let a(i) = x*p(i) - 3*r(i). Let c(g) = 2*g**2. What is c(a(u))?\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 0)**2 - ((sqrt(13) - (sqrt(637) + -1)**2) + sqrt(13)))*-2 + ((sqrt(832) - (-1 + sqrt(832) + 1) - sqrt(832)) + -5)**2.\nAnswer: -1355 + 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 5, -4, -1\/3, 156.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**2\/2 - 4. Let c(p) = -15*p**2. Calculate c(x(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 11*v - 3. Let z(x) = -5*x - 5*x**2 - 3*x - 4*x + 3. Let b(c) = -6*k(c) - 5*z(c). What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 3 + u**2 + 823*u - 827*u. Determine g(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57987 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 3, 17, 489, -8, -20 in descending order.\nAnswer: 489, 17, 5, 3, -3, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16082\/3808 - ((-6)\/21 - 75\/(-336))\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 0*l - l - 196 + 197.\nAnswer: -9*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18444 is divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117781 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12310101203 (base 4) to base 3.\nAnswer: 10100210021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 4*q - 5*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2720 = -20*u. Let w = -154 - u. Let b(x) = -x**2 + 5*x - 1. Determine b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/145)\/((-14)\/(-10))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/24 (c) 4 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -27377?\nAnswer: -27372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*i - 46*i - 108 = 0. Calculate the remainder when 3652 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*a**3*v**3 - 2*a**3*v**2 + 39*a**3 + 16*a**2*v**3 + 2*a wrt v.\nAnswer: 162*a**3 + 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g = -165, q - 2*g + 54 = 3*q. Suppose q = -5*w + 95. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**4 - 27*v**3 + 27*v**3 + v**3 + 2*v**4 - v**3 + (79 + v**3 - 79)*(-3*v + 0*v + 5*v) in the form r + t*v**3 + b*v + z*v**4 + c*v**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*v + 110, 2*b - 4*v = b - 1. Let n = b + -14. What are the prime factors of -1 + 1 - (n + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80276 and 1952?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + x + 2*x)*(-1 + 1 - 3*x) + 0*x + 2*x**2 + 0*x in the form c*x**2 + b*x + d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:40 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370919 - 0.11183.\nAnswer: 370918.88817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 3352*d**2\/9 - 177160*d + 17040384.\nAnswer: -2*(d - 774)**2*(d - 128)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s + 341 = -331 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2630023 (base 7) to base 5\nAnswer: 41441420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 39 = 9. Which is the nearest to 4? (a) s (b) 0.2 (c) -0.01 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -29, -5, -11, 3.\nAnswer: -29, -11, -5, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**3 - 3*i**2 + 5*i + 5. Let w(u) = -17*u**3 - 5*u**2 + 8*u + 8. Give -8*h(z) + 5*w(z).\nAnswer: 3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/224)\/(3\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 197*a**2 - 4497*a*c**3 + 2*c**3 + 99142 wrt a?\nAnswer: 394*a - 4497*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/54 + -29\/108. Let s = 3.6 + 1.8. Let g = s + -5. What is the nearest to k in 3\/4, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/(4\/16). Let c = x + 1. Solve 4*o + 4 = -c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + ((sqrt(187) + (sqrt(187) - sqrt(187)*2) + sqrt(187) - sqrt(187) - sqrt(187)) + sqrt(187))\/sqrt(11) + -3)**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28353 - 28353 - 106*g**2)*(65 - 62 - 8*g**2 - g - 19*g**2 + 10*g**2) to s*g**4 + b*g + o*g**2 + h + y*g**3 and give y.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6303 by -1.\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-21) + (-1)\/3)*11872\/(-7420)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -2 - 2) + (1 - 0). List the prime factors of 3\/a + (-5076)\/(-24).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*z + 32*z - 106*z. Let c = -6.6 - -1.6. What is the fourth biggest value in z, 1\/4, c, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5874 and 125172003.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49432 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1493 less than -1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16366 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2563895 and 10.\nAnswer: 5127790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -9107.\nAnswer: 2\/9107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1435 + -4235. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 2, -33, 21 in ascending order.\nAnswer: -148, -33, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-9 - -4) + 12 - 18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, 15, 5 in decreasing order.\nAnswer: 15, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -428, -430, -434, -440?\n\"Answer: -x**2 + x - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 2*n, 2*n = 2*m + 6*n - 20. Find the third derivative of -2*d**m - 5*d**5 + 3*d**5 + 4*d**2 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 3633?\nAnswer: 3629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32489923 to the power of 1\/2, to the nearest integer?\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/173333 - 403519214\/866665. Let m(j) = 149*j + 20. Let q be m(3). Let n = q + r. Which is bigger: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dvuvppa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 121. Let v = -73 - -513\/7. Which is the closest to v? (a) -5 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/4429 or -1?\nAnswer: 48\/4429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*w - 158*w + 8. Factor -2\/5*f**2 + 0 + 0*f - 18\/5*f**w + 12\/5*f**3 + 8\/5*f**5.\nAnswer: 2*f**2*(f - 1)**2*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n + 1. Let v(t) = 55*t**4 - 4*t**2 - 4*t + 1. Let h(b) = -4*c(b) + v(b). Find the first derivative of h(y) wrt y.\nAnswer: 220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*x - 2*x**2 + 33*x**3 - 28*x**3 - 6*x**4 + 94*x + 4 - 49*x to s*x**2 + z*x**4 + k + j*x + h*x**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -1219, -3729, -8525, -16369, -28023, -44249?\nAnswer: -65809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*q**0))\/q)*((q*q\/(q*q**(2\/9))*q)\/q*q)\/q*(((q**0*q*q)\/q)\/q)**(3\/10))\/(((q*q**3*q*q)\/(q\/(q\/q**1)*q))\/(q**6*q*q\/q**(-1))) assuming q is positive.\nAnswer: q**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 6 - 6)*(2 + 0 + 2).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2 - (2 + -6)). Suppose -4*w + c = -2*w - 14, -w - 4*c = x. Factor 4*i**2 + 5*i**3 + 2*i**5 - 6*i - i**3 + 2 + 0*i**2 - w*i**4.\nAnswer: 2*(i - 1)**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-891)\/810*-5*(-12)\/(-55).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - 124. Let x = -25 - r. Solve 2*z = -4*c + 4 + x, 0 = 3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 39. Let t be p(-14). Suppose t*l - 24 = -4*o, 4*l - 13 = 3. Suppose x - 5*f + 10708 = 4*x, o*x = 4*f + 10717. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3*j**3 - 8 + 4*j**2 + 4*j - 3*j**2 as d*j + f + u*j**3 + l*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 2327*o**2 - 212124*o - 4578012.\nAnswer: -(o - 2231)*(o - 114)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/3, -2\/11, 1\/76?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 245388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkjkabaxxknanx. Give prob of picking 1 b and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -67*s - 2506. Determine r(-47).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*i**2 + 97 + 5 + 144*i**2 - 99 to g*i**2 + n + s*i and give g.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwawfwbb. What is prob of picking 1 f and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = m - 4*m + 7, 0 = -3*m - 2*b + 13. Suppose -m*p = p - 3*u - 7919, -u = -3. Suppose 5*s - 4*k = p, -2*k = 4*s - 4*k - 1582. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 2, u: 1, f: 1, r: 1, z: 4, o: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4937134522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/12 + 3 + 20. Solve v + q = -10, -5*q - k = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.0172 and 148.9.\nAnswer: 151.9172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1420 and -23\/2130?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2 - 1201*q - 3572. Determine b(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(25)\/(sqrt(5) - (sqrt(5) + sqrt(5)*2)) + sqrt(35)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.04 (b) 1\/8 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4014*g**2. Let a(f) = -6*f + 6*f + 1198 - 1198 - 4*f**2. Give l(a(d)).\nAnswer: -64224*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -66. Suppose 3*m = -2*b - 11, -2*b - 4*m - 9 = m. Let i = 19 + b. Calculate the remainder when x is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(2 + (-1 - (-24)\/20)). Suppose 4*i - 3*b = j, -i - 2*b + 2 = i. Suppose -4*l = i*x - 30, l = 3*x + 7 + 4. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3928\/13 - 302. Let z be (-23)\/(-4) + (-15)\/20 + 0. Which is the fourth biggest value? (a) z (b) 0.3 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 7. Let z(p) = 104*p + 3115. Let w be z(-30). Let b(n) = -6*n + 13. Determine w*q(r) - 3*b(r).\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 13648 = -5*r - 0*r, 4*p = 8. What is r rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -126.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 14. Let k be r(19). Let c(a) = -9 + 0*a + 3*a + a**2 + 2. Let p be c(-5). Sort k, -1, p in descending order.\nAnswer: p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 97. Let a = h + -57. Suppose -9*x + a = -3*x. Solve 4*g + x*r = 6, 8*g = 3*g - 5*r - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 8*l**5\/15 + 2*l**4\/3 + l**3\/3 - 29*l**2. Factor d(m).\nAnswer: 2*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36571666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -353, -360, -365, -368?\n\"Answer: a**2 - 10*a - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 + 63. Let v be k\/6 - (-4 - 32\/(-12)). Sort -1.2, 2, v in descending order.\nAnswer: 2, -1.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 184618171?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**1*m)*m*m\/(m\/(m\/m**(-1\/2)*m))*m)\/(m**1)**(2\/53) assuming m is positive.\nAnswer: m**(367\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 29. Suppose -2*w = -4*p - 1300, -d*p = -5*p + 15. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1985061?\nAnswer: 3970122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 216460, 432892, 649324, 865756, 1082188, 1298620?\n\"Answer: 216432*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccqkhzsh. What is prob of picking 1 k and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 30966.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.061509 - 0.07135. What is v rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 812, 824, 836, 848, 860?\n\"Answer: 12*x + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 47 = 2*l, 54 = 5*l - 2*h + 9. What is the third smallest value in l, 4, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 3\/5 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -383\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*q, -5*z + 7*q = -4*z + 5*q + 9832 - 9826 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343481.357 rounded to the nearest 1000?\nAnswer: 343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -22. Suppose 6 = f*m - 3*m. Suppose -m = p - 7. Solve -p*j = -4*y + 12, 3*y + y - j = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -1.05. Let y be (880\/72)\/11*2\/10. Which is the nearest to y? (a) l (b) 3\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 100001001000?\nAnswer: 100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 108*o**5 + 108696*o**4 + 15407348*o**3 + 258131656*o**2 - 147030240*o + 19756800 = 0.\nAnswer: -840, -147, -20, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4481 + 754. Let r = n + -78608\/15. What is the common denominator of -34\/27 and r?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3.26\nAnswer: 1.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7989, -7987, -7983, -7977, -7969, -7959, -7947?\n\"Answer: l**2 - l - 7989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22962 + 38991. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7134*a + 2065. Is w(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d = -2*j + 60, 0 = 4*d - 20. What is the remainder when j is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -154.729585447?\nAnswer: -160.729585447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 3791 + 11466 - 3882 - 3793.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21414, -2, 37?\nAnswer: 21414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.00483 times -88\nAnswer: -0.42504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291390 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164568133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03754 + 0.46246. Let a = -40 - -161\/4. Sort a, -0.2, m, -0.4 in decreasing order.\nAnswer: m, a, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586760 less than 3586758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 88, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 141*q + 11 + 0 - 153*q. Let p(k) = -4*k + 4. Give 6*f(a) - 17*p(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 38*n**2 + 16*n + 74. Let h(y) = 3*y**3 - 25*y**2 + 11*y + 49. Let r(s) = 7*h(s) - 5*q(s). What are the prime factors of r(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = -18. Suppose -19 = s*l - 27. Let k = 3 - 0. Which is the second smallest value? (a) l (b) -1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 - -4. Let i be ((-1128)\/(-57) + -20)*345\/(-24) + -3. What is the nearest to 1 in -6\/5, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.103, -14, 2 in descending order.\nAnswer: 2, 0.103, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186*y**3 - 4073*y**2 - 2*y - 1426309.\nAnswer: 558*y**2 - 8146*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 12:33 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 154*n**2 - 2*n. Let o be x(13). Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 18 = -q + 4*r, -5*r - 30 = q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Let y(f) = -f**3 + 3*f**2 + 4*f + 4. Let v be y(o). What is the least common multiple of 2 and v - (1 - (-1)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - b**2 + 4. Let c(i) = -2*i**3 + 2*i**2 - 7. Let u(q) = -q**3. Let v(k) = c(k) + 3*u(k). Give -7*m(h) - 4*v(h).\nAnswer: -h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 81656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*k**2 - 257\/6*k - 127 = 0. Calculate k.\nAnswer: -254, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191\/4 + 48. Let f = -2339\/4 - -585. Find t such that -1\/2*t + b + f*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.198 - -3.802. Sort -0.052, f, -2\/5.\nAnswer: -2\/5, -0.052, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/3*(-3)\/(-1). Suppose -w + v = -0*w. Suppose -4*g + 3*f = -42, 5*g - 2*g = -5*f + w. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 23*y + 2. Let m(q) = q**3 - 19*q**2 + 20*q - 26. Let s be m(18). Let z be p(s). Suppose -6*l = -2*l - z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*d - 5*d**4 + 6*d**3 - 2*d + 13*d**3 + 12*d**4 - 4*d**4 to the form k*d**3 + a + z*d + x*d**4 + p*d**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114)*1*-4)\/(-5*(-2*sqrt(96) + sqrt(96) - sqrt(96))))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 20 = 5*z, 0 = 3*p - 2*z + 12 + 7. Which is the closest to -3\/4? (a) p (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22959.\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 60004 divided by -8572\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3416 is divided by 94?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ledujdjueumeuee. Give prob of picking 1 d and 3 e.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15148?\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 24*h**2 - 72*h + 1\/2*h**4 - 47 + 22\/3*h**3. Factor c(o).\nAnswer: 2*(o - 1)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0 - 8. Let h = f - 2. Suppose -2*u + 0 = -h. Solve 4*b - u = -w, 0 = -2*b - 0*b + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1792) + sqrt(1792))**2 - sqrt(1792)) + sqrt(1792).\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -92*f**2 + 7*f - 21. Let l(x) = 30*x**2 - 2*x + 6. Let p(r) = 7*l(r) + 2*n(r). Let i(t) be the second derivative of t**4\/4 + 2*t. Determine i(p(h)).\nAnswer: 2028*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*p + 0 + 8 = 0, 4*y + p = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/31 (b) -1\/4 (c) -218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q)**(-3\/8)*(q*q**17)\/(q**(2\/29)\/q) assuming q is positive.\nAnswer: q**(4653\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5 + 1)*-2. Let l(q) = -q**2 + 4*q - 1. Let b be l(4). Is b greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48.49 in 1\/4, -1\/2, -0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 10804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 54002451?\nAnswer: -54002431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6520476 by 4.\nAnswer: 1630119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 6059092*k**2 - k - 6061087*k**2.\nAnswer: -1995*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39.137 and -0.1587?\nAnswer: -6.2110419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 1, y: 2, s: 2, p: 2, g: 2}. Give prob of sequence cc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5513144 (base 7) to base 10.\nAnswer: -675791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527676862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152544 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127234 is divided by 17965.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387560957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -4, -0.052?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 707, 1573, 2795, 4379, 6331, 8657, 11363?\nAnswer: 14455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -364.4.\nAnswer: -350.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004333106 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5716 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2693 and 5.\nAnswer: 13465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 3*o - 19 + 39 + (-3 + 3 - 2*o)*(3 - 6 + 1).\nAnswer: 3*o + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -15, 5, -1.\nAnswer: -15, -2, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*u + 315*u + 2344 + 727 = -344*u for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:14 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-3)\/(75\/85). Suppose v*i - 29 = 7. Solve 4*p = 4*q + 4, p + i = 3*p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64312635 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 155*y**3 + 7760*y**2 + 97375*y + 6250 = 0. What is y?\nAnswer: -25, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.29503 + -42.3. What is y rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, -4, 0 in increasing order.\nAnswer: -4, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103485153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 28 = 5*b - 7*d, 3*b = 5*d + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0.166\nAnswer: 3.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -506 - -508. Let m(a) = 2*a**3 - 8*a**2 + 5*a - 6. Let b be m(4). Suppose -5 = n - b. Solve j + s*j = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 476*a + 2916. Let t be l(-6). Calculate the greatest common divisor of t and 2060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + 3 + 1. Suppose x = -5*y + 60 + 38, -2*x = b*y - 171. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351864495 divided by 70372899?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8183 - -8211. Calculate the least common multiple of ((-12)\/(-10))\/(10\/300) and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + 757194.\nAnswer: 757192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -330784.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 3*m + 17)*(-723 - 799 + 987)*(-5*m + 2*m + m)*(-3*m + 2*m + 0*m) to f + o*m**2 + w*m + p*m**3 and give p.\nAnswer: 3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/((30\/4)\/3). Which is the third biggest value? (a) 1 (b) -2\/9 (c) g (d) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + c**2 - 157191*c**3 - 278810*c**3.\nAnswer: -436001*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 89*b**2. Let r(o) = 10*o - 37. Let n be r(4). Let j(g) = 3*g**2 - 7*g**2 + n*g**2. What is s(j(q))?\nAnswer: 89*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1cc87c8 (base 13) to base 2\nAnswer: -100100110010011111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - -822?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 748225 or 7482259\/10?\nAnswer: 748225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10896 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/28 + 4\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80873686 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = 4. Let z = -6 + 10. Suppose -z*y - u = -19, -2*y - 5*u + 5 = -0*u. Calculate the remainder when n is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434ba (base 12) to base 16\nAnswer: -15b0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847954213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 44, -9.7, -0.47, -5?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35335 - 59?\nAnswer: -35394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274874004.\nAnswer: 2, 3, 41, 186229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 6. Suppose -3*l + 31 = -17. Suppose 0 = y + l - 10. What is the remainder when p(y) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 9. Let h = 3 + q. What is the third derivative of -3*f**2 + 2*f**2 + h*f**3 + f**3 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0308 * 225.\nAnswer: 6.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) + -1 + -1 + sqrt(19))**2 + (sqrt(171) + 0 - (sqrt(19) + -1 + -4))**2.\nAnswer: 12*sqrt(19) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 392.2*231\nAnswer: 90598.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let w(r) = 23*r + 116. Let i(j) = 29*j + 115. Let h(x) = -3*i(x) + 4*w(x). Calculate h(y(g)).\nAnswer: -10*g**2 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {o: 3, j: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-45))\/((20\/(-72))\/(105\/(-42))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47472, 94953, 142434, 189915, 237396?\nAnswer: 284877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4185, -532, 5565, 14112, 25115, 38580, 54513?\n\"Answer: t**3 + 1216*t**2 - 2*t - 5400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 67. Let b = 2 - -2. Find the third derivative of b*y**4 + y**4 + 2*y**4 - c*y**2 - 2*y**4 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 23*w**2 - 7*w - 13. Let b be a(-5). Let l = b - 231. List the prime factors of l.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*a - 267, 3*a + 5*l = -a - 269. Let b = a - -91. Find the third derivative of 405*d - 2*d**2 - b*d**4 + 9*d**2 - 405*d wrt d.\nAnswer: -600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.5637 kilograms to milligrams.\nAnswer: 21563700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -686, -1070, -1476, -1904?\nAnswer: -2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (8 - -1)*(-68)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (4 + -2)) + 1 + 13 + -2 + -72.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + c - 15. Let y be s(-5). Suppose -3*b - 4*w - 36 = b, w - 11 = 3*b. Let a = -1 - b. Solve 4 = q - z + 12, -a*q = -y*z + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 32.5. Let t = s - 0.3. Let k = -12 - t. Which is the closest to k? (a) -2\/7 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649 - -622. What is the second biggest value in -2, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106, -107, -112, -121, -134, -151?\n\"Answer: -2*i**2 + 5*i - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 516*a + 2000.\nAnswer: 4*(a - 125)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 12, 34, 66?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 3*j - 4*j + 4*j. Let q(x) = -x. What is q(n(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 40, -2, -2\/13, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (2 - 44\/10). Put -1, 4, u in decreasing order.\nAnswer: 4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 1 + 5 - 5)*(-145*a**3 + 145*a**3 + 205*a**4).\nAnswer: 615*a**5 + 205*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002149784 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -p - 44, 5*s + 10*p - 15*p = 100. What is the remainder when (-4)\/(-10) + (-936)\/(-10) is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1145 + 1147. Solve 0 = j*r + 6, c + 0*r + 6 = -2*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 45780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8455060745.\nAnswer: 5, 31, 277, 196927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*n + n. Suppose 5*k - 4*b = -284, 4*k + 3*b + 232 = 5*b. What is the smallest common multiple of n and ((-880)\/k)\/(2\/3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -427.06 - -422. Let b = h + 3.7. What is b rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.038 + -0.038. Let s = g - 48.0005. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - -16?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20471347 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 + 43 = 0. Let c(z) = z**2 - 20*z - 1. Let v be c(o). Let s = -1 - -0.8. What is the closest to v in 0.5, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -3\/4*l**4 - 10 + 5\/4*l**2 + 3\/2*l - 1\/10*l**5 - 1\/3*l**3 + 1\/12*l**6. Suppose k(h) = 0. What is h?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 + 0*y**3 + 2*y**3 + 2*y - 3*y**3 - 3*y**2 + 4*y**2. Let q be n(0). Solve p - q = -t, -3*t - 4*p + 6 = 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12974 > -12990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -251 - -252. Is 2\/849 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + 6 + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {m: 4, p: 1, n: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*f = -1746*f + 961 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425104\/9*z + 0 - 2608\/9*z**2 - 4\/9*z**3 = 0 for z.\nAnswer: -326, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-368)*-8)\/(38\/(-8)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -1 + -3)\/((-9)\/(-6)). Suppose -z + a + 2*a = -410, 5*a = -h*z + 853. List the prime factors of z.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*o**2 + o**3 + 36*o - 61*o**2 - 23*o**2 in the form h*o**3 + g + w*o**2 + f*o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(-21)*w**(1\/10)*w**(4\/7)*(w*w\/(w\/(w\/(w**1\/w))*w))**(-4\/19)\/(w**(1\/2)\/w**3) assuming w is positive.\nAnswer: w**(-25961\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6157 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**5 + 3 - 20\/3*g**3 + 0*g**2 + 0*g + 0*g**4. Factor u(t).\nAnswer: 5*t**2*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/5))**(-26)*b**(-2\/3)\/b**(-1\/9) assuming b is positive.\nAnswer: b**(-1429\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -58. Let h = x - -13. Let n be 58\/(-85) - h\/15. Which is the biggest value? (a) 0.3 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + y = 15, 3 = 4*o - 2*y + y. Let i be 12\/112*-2*866. Let m = -186 - i. Sort o, m, 5 in decreasing order.\nAnswer: 5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/8 + q**2. Let k = -6 - 2. Is p(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/13 - 14818226*v**3\/13 - 36596641903920*v**2\/13 - 30127648696644337024*v\/13 - 30127612100017251328\/13 = 0. Calculate v.\nAnswer: -2469704, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1613156060540 and 0.39.\nAnswer: 1613156060540.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1243*o**3 - 2*o**2 + o - 1. Let b(s) = 2*s**2 - s + 1. Give 5*b(i) + 5*z(i).\nAnswer: -6215*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*f = -15, 9*s = 10*s - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let g(o) = -o**2 + o - 2. Calculate -4*f(h) - g(h).\nAnswer: 5*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2340 and 31\/128.\nAnswer: 74880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 1. Let g(i) = 5*i**2 + 5*i - 1. Let v(k) = k - 1. Let q(b) = -g(b) + 3*v(b). Calculate 2*o(f) + q(f).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, -1166, -584, 1\/7, 6 in increasing order.\nAnswer: -1166, -584, -3, 1\/7, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-5))\/((-2)\/(-10)). Let h = 43 - i. Solve 3*u + 2*u = h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 31 = -10*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvwbebke. What is prob of sequence kvbk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -6 - 0. Let a be 46 - -2*v\/4. Differentiate 3*z**4 - a*z + 4 + 45*z with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, -1180, 72?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28666418, 28666417, 28666416, 28666415?\n\"Answer: -z + 28666419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*v**2*x**3 + v**2*x - 293*v**2 - 3*v - 4*x**3 wrt x.\nAnswer: -114*v**2*x - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/105 + 23*x**5\/35 - 709*x**4\/42 + 1380*x**3\/7 - 8100*x**2\/7 - 1156*x. Find r, given that o(r) = 0.\nAnswer: 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - sqrt(72)*2)**2 + (sqrt(200)*-3 - sqrt(200))**2 - (sqrt(80)*5 - sqrt(20))\/(-4*sqrt(50)\/sqrt(5)))*-4.\nAnswer: -13088 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -0.2851?\nAnswer: -10.5487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d**2 - 84*d + 11. Let h(r) = 5*r**2 - 28*r + 4. Let t(a) = -11*h(a) + 4*i(a). Let l(z) = -2*z**2. Calculate t(l(c)).\nAnswer: 4*c**4 + 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 2, t: 11, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (sqrt(1377) + -2 + -2 + sqrt(1377))**2 - (-3*(sqrt(1377) + sqrt(1377) + sqrt(1377) + (sqrt(1377) - -1*sqrt(1377)) + -2))**2).\nAnswer: -304339 + 1476*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44252, 176996, 398236, 707972, 1106204, 1592932, 2168156?\nAnswer: 2831876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28253\/102 + 277. Let p = -26\/51 + f. Are 0.18 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 885*n**2 - 141595*n - 793. Give r(160).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05122169 less than -1.3459?\nAnswer: -1.29467831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243208 = -166*s - 234908 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + x**2 - 5*x**2)*(13 + 21 - 12 + (8 - 29 - 36)*(-2 - 5 + 4)) to s*x**2 + c + k*x and give s.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1073.\nAnswer: -4\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + 0. Let l = 13 - f. Let h = l - -22. Calculate the greatest common divisor of 64 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/120 - 43*l**5\/60 - 11*l**4\/24 + 139*l**3\/6 - 18*l**2 - 3. What is the tens digit of d(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o. Let l(i) = -8*i - 1. Let v(m) = -39*m - 3662. Let j be v(-94). What is j*l(r) - 11*x(r)?\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 5*o**2 + 5. Suppose -4*w + 4*h - 13 = -9, -4*h = 3*w + 17. Let g be u(w). Sort -1, -2, g, 2 in descending order.\nAnswer: 2, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.25, 0.5, -23?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is e8e6 (base 16) in base 10?\nAnswer: 59622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7638 divide 2783529613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20332983?\nAnswer: 3, 11, 19, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 233021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6 - 16*k - 1 + 6 - 13. Calculate o(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 9 = -2*d, d - 9 = 2*a. Calculate the greatest common divisor of d and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 153, 302, 539, 894?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 194*s - 193*s = -20, 26*g - 5*s - 124 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-12))\/(-7)*-354 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-8 - (3 - 4)). Suppose -z - 57 = -r*s + 2*z, -4*s = 3*z - 24. Let p = 12 - s. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Let p = 6 + -6. Which is the nearest to -3? (a) o (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4607265*v - 1. Let u(q) = 70*q. Calculate u(w(z)).\nAnswer: -322508550*z - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -12\/11, -4, 5, 1 in increasing order.\nAnswer: -45, -4, -12\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -78, -182, -378, -696, -1166, -1818, -2682?\nAnswer: -3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -2 in descending order.\nAnswer: -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 9*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -13*p**8\/56 + p**4\/24 - 17*p**3\/6 - 10*p**2 + 68. Find the second derivative of d(k) wrt k.\nAnswer: -1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)\/i)\/(i\/((i*i**(2\/5)*i)\/i))*(i**(2\/5))**12)\/(i**(-8)\/(i\/(i**(-1\/2)\/i)*i))**(-3) assuming i is positive.\nAnswer: i**(-3313\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**10*z)\/(z**11*z))**36)**(2\/5) assuming z is positive.\nAnswer: z**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/6 - 9337*g**2\/2 + 14006*g\/3 = 0?\nAnswer: -28012, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, -0.5, -16.3, 6\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 1481*f**6\/120 - 1225*f**4\/24 + 1061*f**2. What is the second derivative of s(l) wrt l?\nAnswer: 8886*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 3. Suppose -u = 3*d - i - 27, 2*d + 5*u = 11. Solve -5*f - 27 = x, f - 2*x = -6*x - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Does 13 divide (78\/(-8))\/(w\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 9*r**2 + 9*r + 7. Suppose 0 = -3*l + 117 - 93. Give w(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 204, 485, 872, 1365, 1964, 2669?\n\"Answer: 53*w**2 + 16*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 1974262.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 139.\nAnswer: 138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 53 = 2*a - 3, 0 = a + 2*l - 13. Let f = 42 - a. Suppose -16*z = -f*z + 39. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*6\/(-5). Let y = -3.0325 + 0.0325. Which is the third biggest value? (a) y (b) w (c) 3\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*s - 274 = 0, 2*l + s = -0*s + 200. Does 41 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 5*b, 3*t + 3*b - 36 = -0*b. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v**2 + 23392*v - 23363. What is t(1375)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*z - 530 + 2786 = 159*z. What is the least common multiple of z and ((-3)\/(-2))\/((-3)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.072331 seconds to weeks.\nAnswer: 0.0013427121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 2, 19, 46?\n\"Answer: 5*r**2 - 8*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllqqilzzqiiqqqqlqq. What is prob of sequence lll?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -18. Let a be (-5)\/(-10) + (-58)\/n. Let o be (1 + (-4)\/6)*a. Calculate the greatest common factor of o and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = s + 4*s. Suppose 5*b - 39 = -s. Is (-272)\/(-6) + 4\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*4\/(-36) + (-4)\/(-12). What is the lowest common multiple of 8060\/1085 - ((-6)\/(-14) - f) and 8*1 - 2 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 26*m - 5125 = -5*m. What is the highest common divisor of 2050 and m?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 30 - 27 = 9 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 1. Let c be v(1). Let s be (-21)\/c*(-16)\/12. Let z = 265 - 139. What is the greatest common divisor of z and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.3 - -62.2516. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23293686 and 2361918?\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**8\/1680 - n**6\/180 + n**4\/24 + n**3\/3 + 3. Let v(g) be the third derivative of f(g). Suppose v(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183742473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*n - 61, -3*n + 4*k = 2*n + 64. Let w = 16 + n. Suppose -h - w*b = -6*b - 157, -5*b + 10 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.295229 to 2 dps.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 31, 53, 77, 103, 131, 161?\n\"Answer: l**2 + 17*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -0.3.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.2171 times 1.1\nAnswer: 1.33881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31068 is divided by 10341.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7062 - -231183?\nAnswer: 238255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) -160 (d) 4 (e) 3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77230 from -4.\nAnswer: 77226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenennneeene. Give prob of picking 2 n.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 29731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 9165*i + 18326.\nAnswer: (i - 9163)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*u**3*w**2 - u**2*w**3 + 9*u**2*w**2 - 2*u*w**3 + 2*u*w**2 + 109*w**3 wrt u.\nAnswer: 78*u*w**2 - 2*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1187660 divided by -4\nAnswer: 296915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063117935?\nAnswer: 5, 67, 137, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8286436kg in grams?\nAnswer: 828.6436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7, p: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 13*w - 17*w)*(0 + 2*w**4 + 0) + 0*w**3 + 0*w**3 + 2*w**5 + (6*w**2 - w**2 - 4*w**2)*(2*w**3 - 2*w + 2*w).\nAnswer: -44*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 0.1. Suppose 0 = -z + 4*y + y + 30, 4*y = -z - 15. Let j = z - 4. Is j greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 489 and 122413?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 41*m = 43*m + 60427, 0 = 3*a + 4*m - 60415. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4 + (1037\/173 - 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + (-125)\/(-20))*0. Let f be (m - 2\/4)*-6. Solve -f*d - 8 = -4*d - 5*v, -2*d - 6 = -v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 - 4 + 3 + 5*f**4)*(-67 - 56 + 26)*(-2*f + 0*f - f).\nAnswer: 582*f**5 - 291*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 24. Let h(k) = 242117*k**2. Determine q(h(z)).\nAnswer: 1694819*z**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*k = -k - 6, 4 = 4*k. Suppose b = -0*b + j - 3, 4*j - 12 = r*b. Solve 0 = f - 3 - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/685, -51, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/2)\/w)\/w)**(5\/6))**(27\/2)*(w\/w**(-1\/5))\/w**(-1\/2)*(w\/w**5*w*w*w)\/w**3 assuming w is positive.\nAnswer: w**(-767\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -87, -217, -405, -657, -979?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 0*p. Factor p - 1\/2*n + 1\/2*n**2.\nAnswer: n*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-20) + 46927\/2 - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/270*18)\/((-5)\/(105\/2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10095 - -13013. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44233691 is divided by 130099.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -14. Let c(p) = h - 6 - p + 2*p. Let k be c(6). Solve 2*z = -k*o + 10, -7 - 3 = -2*o - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120020021 - -1101012?\nAnswer: -111212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 105 = 11*d. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -1 + 1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/1320 - g**5\/66 + 17*g**4\/264 - 4*g**3\/33 - 510*g**2. Factor o(y).\nAnswer: (y - 8)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1631*c*w**2 + 688*c*w + 567108*w**2 wrt c.\nAnswer: -1631*w**2 + 688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + i - 48357 + 48406, 2*m = -4*i + 28 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 15. Let k(s) = -s - 10. Determine -5*d(t) - 8*k(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -160*-5*24\/300. Solve y*m - 85*m - 63 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 241736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 135 = -3*m. Let j be m\/(-9) + 4\/(-18). Solve 3*f + f + r - 8 = 0, j*f - 25 = -5*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57143?\nAnswer: 57143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-26\/5))**(-1\/25)*(j\/j**(6\/11))**(3\/19) assuming j is positive.\nAnswer: j**(-4604\/26125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (6 + 105 - 97)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.6 - -22.6. Let z = -88.37 - p. Let o = -1.5 + z. Round o to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.49 + -1.49. Which is the second smallest value? (a) -1\/3 (b) v (c) 9 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*v, 3*v = -4*i + 8*v + 37. Solve -5*k + i*k + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 155*m - 902. Give k(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (31 - 36 - -135 - 33).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216943 is divided by 43062.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose -n = -2*g + 9, -4*g + a = 5*n - 50. Differentiate 14*f**3 + g - f**2 + f**2 - 8*f**3 wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 87. Suppose -m = -2*h + 34. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1058 and 545399?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35483 - -35514. Solve -32*o + p*o + 9 = 3*t, 0 = -5*t + 3*o + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 34. Suppose 4*o - j - 26 = j, -2*o + i = -5*j. Suppose 0 = o*y + 2*w + 2*w, -9 = -y + 2*w. Solve 0 = b + r + 1, 4*b - 2*b + 7 = y*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 2)*(-12*c**4 + 10*c**4 + 23*c**4)*(-131 + 60 + 35).\nAnswer: 6048*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500*s**3 - 10*s**2 - 7*s wrt s.\nAnswer: 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 51*g - 26 = 208. Let l = -10 - -12. Let z be -2*-1*(l - 0). Solve -5*o + 4 = -z*r, -3*r - g = o - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 11.1. Let c = u - 15. What is the smallest value in -2\/7, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881791 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0.14 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 2 + 139*l - 29 in the form c + v*l and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757 is divided by 928.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -683 + 1765. Suppose 3*h = -2*n + n + a, 2*h = -2*n + 724. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -34, 2, 52, 116?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7460 and 7?\nAnswer: 52220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/912 and -74\/38893953?\nAnswer: 11823761712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1644*l + 460*l - 163*l + (1 - 5 + 2)*(l - 5*l + 2*l) - l + 0 + 0 to v + c*l and give c.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19*r**2. Let t(w) = -184 - 2*w + 90 + 94. Calculate t(a(z)).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73320 and 530280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**31\/n)\/n*n*n))**(1\/23)\/(n**(-35)\/n*n*n\/(n**(-44)\/n)) assuming n is positive.\nAnswer: n**(-283\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -18. Suppose 2*r = -2 + g. Let t(c) = 9*c - 4. Let l(x) = 19*x - 8. Let v(j) = -6*l(j) + 13*t(j). Calculate v(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 s when three letters picked without replacement from cisssqt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let w be 10\/(-35) - 38\/14. Let u(g) be the first derivative of -g**3\/3 - g + 545. What is w*q(o) + 2*u(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*t - 254. Let c = -46 + 61. Calculate the greatest common divisor of t and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:23 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -8443, -3, -67.\nAnswer: -8443, -67, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*k + 4*k + 7, -4*d - 20 = -4*k. Which is bigger: k or 1\/45?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11553377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 529*z + 14281. Give j(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 257124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173924967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25545941, 51091882, 76637823, 102183764?\n\"Answer: 25545941*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {e: 2, o: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/35)\/((-6)\/140). Calculate the highest common divisor of i and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, y: 2}. Give prob of picking 2 y and 1 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 2. Let z be m(0). Let w = 11.8 - 11. Let j = w - -2.2. What is the closest to z in -3, -0.2, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/(1\/(-3)). What is b in -4*b + 8*b**2 + 4 + p*b + 2*b**3 + 12*b = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, k: 3, l: 3, b: 1, z: 4}. Give prob of sequence zzl.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0 (b) -36 (c) 52 (d) -3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtttvvvvtvttt. Give prob of picking 1 t and 2 v.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331423 by -1.\nAnswer: -331423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29462?\nAnswer: 2, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**3 - 7*p**2 + 8*p - 7. Let c be i(6). Let g = -1035 - c. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4\/7, 0, 118 in descending order.\nAnswer: 118, 2\/3, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -16. What is the nearest to -7 in v, -2\/13, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*i - 153 - 172, -120 = -2*i - 4*n. Let h = i - 70. Suppose h = -4*q + 7*q - 6. Solve -q*l = -0*l - r + 13, l + 5*r - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2 + 7. Suppose -5*i = -o - r - 9, 4*o = 5*i - 27. Let c(z) = 2*z**3 - 19*z**2 + 2*z + 2. Let u be c(0). Solve u*s + 10 = -i*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 4. Let x be f(6). Is (x\/3)\/(2\/201) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 + 2*y - 1. Let r(n) = n**2 - 12*n + 12. Let q be r(3). Let w be (5\/q)\/(78\/(-18) + 4). Calculate z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.081 - -0.299. Let w = 25.38 - t. Let u = 24 - w. Which is greater: 40\/7 or u?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*o + 10 - 40 = 0, 2*w - 4*o - 12 = 0. What are the prime factors of (4\/(-5))\/(w\/(-525))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 400*l**3 - 165539440*l**2 + 99323556*l - 14898528.\nAnswer: 4*(l - 413848)*(10*l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1386 - 1401. Let w(x) = 2*x + 8. Calculate w(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**(-38))**(5\/3) assuming i is positive.\nAnswer: i**(-380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 2494*p - 214644 = 0. What is p?\nAnswer: 93, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 23430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7916.848 tonnes?\nAnswer: 7916848000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 25, 0 = 40*x - 43*x - w - 760. Suppose -5*n + 14*n = -2304. Is n greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -7. Which is the third biggest value? (a) -8\/5 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/11)*n)\/(n**(1\/8)\/n)*(n\/(n\/n**6*n*n))\/(n\/n**(-3\/8)))**(1\/2) assuming n is positive.\nAnswer: n**(125\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 179 = -457. Find the third derivative of 5*g**2 + 318*g**3 - 6*g**5 - f*g**3 wrt g.\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 315?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 87?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (2 - 1) - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - c + 3*c = 0, -2*c - 6 = -0*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 7, -12, -30 in increasing order.\nAnswer: -30, -12, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 728.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l + 24. Let s be d(-9). Solve -v = -3*p - 6, -v - 4*v + 3*p + s = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1002 (b) 2 (c) 2\/23 (d) 1051.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**21*v*v**(-31)*v*(v*v\/(v*v\/v**(-8)))**(2\/7) assuming v is positive.\nAnswer: v**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*h**3 - 3717*h**2\/2 - 192681*h\/2 + 98160 = 0. Calculate h.\nAnswer: -32, 1, 2045\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25758721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -5\/6*n**6 + 0*n**2 - 2\/3*n**3 - 2 + 0*n**5 + 0*n + 0*n**4. What is the third derivative of g(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 20. Let d(l) = 615*l. What is d(m(p))?\nAnswer: -1845*p**2 + 12300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 570, -1132 in descending order.\nAnswer: 570, -82, -1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -4. Let j = 12 + z. Solve 10 = -j*p - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v + 15 = 0. Let b(i) = -i**3 - 8*i**2 - 14*i - 9. Let q be b(-7). What is the highest common divisor of q and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3*sqrt(11) + 5)*-2)**2*3.\nAnswer: -360*sqrt(11) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 9. Let q(y) = -y - 3. Let f be q(-8). Suppose 0*g - 42 = -g + 2*x, -f*g + 200 = -5*x. What is the remainder when g is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6004 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/18 - -5)\/((-6)\/99 + 0)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 21 (c) 1 (d) 1674 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 549*o**2 - 149. Let y(t) = -1091*t. Give z(y(q)).\nAnswer: 653464269*q**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m - 16. Let k be j(-8). Let l = 27 + k. Let p(g) = g**2 + 11*g - 28. Let y be p(l). Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -2\/11, -0.05, 0, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 132 (c) -222 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 4376 - 3424 = 0. Suppose -4*a + 107 = 3*k, -3*a + 2*k = 33 - 126. Let x = a - -4. Calculate the remainder when x is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7622*i + 6*i**2 + 5*i**2 + 7627*i as o*i + b*i**2 + y and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*l + 35. Let h be ((-16)\/(-28))\/((-8)\/(-28)). Suppose -8*f + h*f = -216. Calculate the highest common divisor of l and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let q(d) = -2 - 7 + 9 + 11 + 6. Give 2*m(s) + q(s).\nAnswer: 2*s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101268?\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -88, 3, -3\/4, -4, 1, -0.37?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*q**3 - 6982*d*q - 52*q**5 + 26*q**4 wrt q.\nAnswer: 6*d*q - 1040*q**3 + 312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3, 2\/13, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 4*p - 3. Let s(q) = -q**2 + q + 1. Let n(u) = 4*h(u) + 11*s(u). What is n(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25145 is divided by 350.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115169 - 115166.59972. Let h = 2.121 - -0.279. Let k = c - h. What is k rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bncbcbbxbbbnnbnbbnbc. What is prob of picking 2 b and 1 x?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858 (base 15) to base 14.\nAnswer: -987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.5 minus -34.07176?\nAnswer: -36.42824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/50 + -3 + (-170)\/(-25). Solve -2*r - 3*i = 16, v*r - 2*i + i + 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggpxgxxgxxpx. Give prob of sequence pg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:25 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1909 and 12484 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6473\/13020 + -181\/140. Find the common denominator of s and 71\/78.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 7*i**2 - 3*i + 4. Let g be u(-4). Is 15 a factor of 1 - 6*g\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 290, 305, 330, 365, 410, 465, 530?\n\"Answer: 5*f**2 + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, d: 3, b: 3, w: 5}. Give prob of sequence dbo.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13))*-1 + sqrt(13) + -3 + sqrt(52)\/(sqrt(36)*-3).\nAnswer: -4 - sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 11*h**2 + 12*h + 3. Calculate the remainder when 14 is divided by m(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c\/(c**(-7)*c)*c*c*c*c))\/c*c*(c**2*c)\/c*c**(1\/5)*(c*c*c**(1\/3)*c)\/c*c assuming c is positive.\nAnswer: c**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 102*r + 29 + 23 + 79*r - 13*r**2 + 79*r - 209*r - r**3. What is y(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 + 12*g**2 + 6*g + 2. Let x(j) = 6*j**3 + 11*j**2 + 8*j + 2. Give 4*f(s) - 3*x(s).\nAnswer: 2*s**3 + 15*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16770\/7 + 173811\/70. Let p = b + -284\/5. Find the common denominator of (-245)\/(-12) - (-1)\/(-4) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 7*y\/3 + 4\/3 = 0. What is y?\nAnswer: -1\/3, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 159*v - 3070. Calculate h(-20).\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 6, w: 1, k: 8, a: 1}. Give prob of sequence yfk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:08 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346852084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61960*v + 498*v**2 - 61964*v - 61843*v - 496*v**2 + 185767*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/22554 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/70 and 97\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15047 = -247810. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58483 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 11*q + 10. Let x be h(-11). Suppose 3*u = -2*c - x, -2*c - 7 = 3. Solve u = 2*f - 5*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + -1 - (sqrt(275)*-1 - sqrt(275))) + (-2*(-5 + sqrt(22)\/sqrt(2)))**2.\nAnswer: -29*sqrt(11) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -f + 3, 6*s = 2*s - f + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-6 - -7 - 5) + (-27 - -17))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37 + (17 + -1)*-1. Which is the closest to -1\/2? (a) -2\/15 (b) 3\/5 (c) j (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-90)\/48.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068442.\nAnswer: 2, 1034221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*v - 3*v + 33, -2*u - 811229 = 24*v - 812087 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2710318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.0597, -1.05 in decreasing order.\nAnswer: 0.0597, -1.05, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 659606989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001153849597 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4543\/(-7)*-2*1\/(-2). Is i not equal to -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3562859\nAnswer: 1\/3562859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152354 is divided by 6092?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)*2)\/(sqrt(75)*2) + -5 + 5*(sqrt(245) + 0).\nAnswer: -5 + 177*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x + 12 = 188*x - 3*p, 8 = 4*x - 2*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(756) + 1*sqrt(756)))\/(-3*sqrt(972) - sqrt(972)) - ((sqrt(315)*-3 + sqrt(315))*5 + sqrt(315))\/(sqrt(15)\/sqrt(108)).\nAnswer: 161*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/100)\/((-9)\/185) and 59\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(7700\/1540).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 48*c**3 + 32*c. Let p = 2051 - 2050. Let a(t) = -t**3 - t. Determine p*j(y) + 32*a(y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496073151?\nAnswer: 3, 7, 7874177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/63)\/((-2)\/(-11))*32\/128*-24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1376*d - 168130. Let h(z) = z + 115. Let c(l) = -6*g(l) - 8772*h(l). Let p(m) = 2*m. Calculate p(c(n)).\nAnswer: -1032*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -269, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*s - 92 + 6496 = -43 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1481980 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 234545231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6268.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 497665 + 298\nAnswer: 497963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -60. Put 4, -4, a in descending order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let d(w) = -2*w**3 + 59*w**2 - 26*w - 121. Let g be d(29). Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 72396 + 12726. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/132 + h**3\/22 + h**2\/11 - h - 22. Factor n(s).\nAnswer: (s + 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33171, 33214, 33279, 33360, 33451, 33546?\nAnswer: 33639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15104792701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7320 (base 16) to base 15\nAnswer: -8aec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:50 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**2)\/l)**(-50)*l*l**3*l*l**0)**(-2\/27) assuming l is positive.\nAnswer: l**(290\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 52\/5*w**3 - 16\/5*w**2 + 1\/5*w**5 - 224\/5*w - 208\/5 + 17\/5*w**4 = 0?\nAnswer: -13, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*d**3 + 1340*d**3 - 493*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + 2 + -3 - -1. Let r be o\/(1 - 2)*-3. Let p(w) = w**3 + 9*w**2 + 12*w - 13. Let z be p(-7). Sort r, 4, z in increasing order.\nAnswer: z, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, 12 in decreasing order.\nAnswer: 12, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*z**2 - 128*z**2 + 26 + 65*z**2)*(-3 + 3 + 2*z).\nAnswer: 4*z**3 + 52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6565350 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 10. Let v(f) = -3*f + 7. Let n(o) = 5*u(o) - 7*v(o). Let x be n(0). Sort x, 2, 3 in increasing order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**5\/240 - w**2 - 5*w - 5. Let f(p) be the first derivative of y(p). Let z(r) be the first derivative of f(r). Factor z(m).\nAnswer: -m**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 532\/95*(-1 - -6). Let m be (-9696)\/o + (-4)\/(-14). Is 19 a factor of m\/(-18) + (-12)\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 9*t**2 + 3*t - 20. Determine n(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32527 - 13?\nAnswer: -3253a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 6, -5 in descending order.\nAnswer: 6, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13995503663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -2*u + 10, 5*u + 4*p = 40. Let q(z) = -2*z + 4. Let j be q(u). Let h(c) = c**3 + 4*c**2 - c - 1. Is h(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-6)\/2*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*s - 17594 + 17594)*(-8 + 3 - 20)*(0 + 2 + 0).\nAnswer: -5850*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -19258985.2 to the nearest one hundred thousand.\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33297 + 25954 = 1368*y + 34033 + 25656 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1665*r**2 + 56 - 59 - 448*r**2 + 3. Let n(q) = 2*q**2. Determine n(h(s)).\nAnswer: 8929538*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*o - 867*o - 1005*o.\nAnswer: -1440*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Suppose -2 = -5*g + 8. Let h(s) = -2*s + g*s + 0*s + 2*s. What is 3*h(i) - 3*m(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 77*z**3 - 11*z - 76*z**3.\nAnswer: -153*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 - 5*y + 5. Let v be x(5). Let h(f) = -1 + 1 - 10 - 8*f. Let j(s) = -7*s - 9. Let z(a) = v*h(a) - 6*j(a). Give z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = -39*z + 5329. What is the remainder when z is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 651792*z + 53104101408.\nAnswer: 2*(z - 162948)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i + 85*i - 148 - 2*i**2 - 16*i - 17*i - 34*i to q*i + r*i**2 + x and give x.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37315 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.0015321?\nAnswer: -0.9984679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108\/5 + 22. Sort 2\/9, b, -2\/9, -0.4 in ascending order.\nAnswer: -0.4, -2\/9, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03917, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 53, 86, 135, 206, 305, 438?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2066*l - 5979. Calculate o(-3).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1572323, -1572335, -1572347?\nAnswer: -1572359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 1:33 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -5, 0.3, -1 in descending order.\nAnswer: 0.3, 0.05, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*x - 210 + 115 + 87 - 221*x.\nAnswer: 14*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52997119027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2 + h - 8*h)*(1 + 0 - 3).\nAnswer: 8*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -7.96. Let m = 3.15 + -2.95. Which is the smallest value? (a) 0.3 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5670 + -45303\/8. Find the common denominator of 37\/2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77820287.\nAnswer: 37, 97, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**28*(s**(-1\/4))**(-28))\/((s*s\/s**(3\/4))\/(s*s*s**(-3))*(s**1*s*s*s)**(-3)) assuming s is positive.\nAnswer: s**(179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 18669945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23746 < -23745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 8973*b + 8976.\nAnswer: -3*(b - 2992)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p + 4. Let h(d) = -3*d**2 + 10*d + 7. Let q(r) = 8*r**2 - 31*r - 21. Let z(l) = 17*h(l) + 6*q(l). Let f be z(-5). Let n be y(f). Is -3 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7483*f**2 - 19*f + 5*f + 0*f + 14*f.\nAnswer: -7483*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711 (base 8) in base 4?\nAnswer: 113021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v + 14. Let f(t) = 11*t + 21. Let n = -1018 - -1010. Calculate n*k(r) + 5*f(r).\nAnswer: -r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -7*o. Let i be o + (-1)\/(1\/(-4)). Suppose 3*t - i*t = -16. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473111?\nAnswer: 167, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29735 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2483833457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) -2\/15 (c) -3\/5 (d) 0.458 (e) -6\/11 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 + -0.48. Let t = l + 0.97. Let v be (-30)\/24 + (-3)\/4. Which is the second biggest value? (a) 2\/5 (b) v (c) t (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:29 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-7)\/42). Suppose 4*h - 10 = -2*p + 2*h, -v*h = -5*p + 18. Suppose -p*u + 0*u = -12. Solve -15 = -4*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16609*s + 16613*s + x - 12, 4*s - 12 = 22*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123, 490, 1101, 1956?\n\"Answer: 122*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pffbfqipimmb. What is prob of sequence pqf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 980760760 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 20. Solve 0*s + 3*s**3 + 0 - 2*s**2 + 1\/4*s**5 - 3\/2*s**k = 0 for s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047567368 to three decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/2 (b) -0.06 (c) 10 (d) 1\/66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278 + 404. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12*u**3 - 2*u**2 - 3*u + 1. Let d be a(-4). Let r = d - 489. Let t = -903 - r. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j, -n + 3*j + 6 = 7*j. Suppose 0 = n*z + 3*x - x, 3*x = 5*z. Suppose 3*u + 2*u - 5 = z, 0 = 5*i - 2*u - 58. Solve i = -0*m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -41, 1, 71, 5, -4, 3 in descending order.\nAnswer: 71, 15, 5, 3, 1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 327*f**2. Let r(k) = 4*k**2 - 5*k - 70. Let g(x) = -10*x**2 + 12*x + 168. Let h(c) = 5*g(c) + 12*r(c). What is s(h(v))?\nAnswer: 1308*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 14*n - 3. Calculate h(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 16*b**3 + 6*b**3)*(157 + 2*b + 0*b - 155).\nAnswer: -20*b**4 - 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 11) to base 8\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18407 and 932?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242257077 to the power of 1\/2, to the nearest integer?\nAnswer: 15565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*i - 83*i - 83*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (10 + -9 - (8 + -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/2, 3.\nAnswer: 0.3, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 73. Let j = 44 - a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.2. Let v be 7 + (-111)\/15 - 62\/20. Let y = 4 + v. Which is the biggest value? (a) y (b) -2\/31 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5011*k. Let d(u) = 2*u. Calculate d(q(b)).\nAnswer: -10022*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6 = -3*f + 2*u, -15 = f - 5*u. Suppose f = d + 2*y - 349, 4*d + 205 = -5*y + 1589. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:58 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 110 = 0, 55 + 11 + 209 = -5*f - 2*b - 0 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + (sqrt(891) - (1 + sqrt(891))))*1 + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21252*z**6 + 462*z**2 + 5*z + 7.\nAnswer: 2550240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(832)*2)**2.\nAnswer: 53248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g**4 + 0*g - 1 + 1\/100*g**6 - 1\/525*g**7 - 1\/75*g**5 + 11*g**2 + 0*g**3. Solve t(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316178 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - c + 0*c)*(0 - 2 - 1 + (-3 + 6 - 2)*(-2 - 1 + 4)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:38 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2500636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b - b + 23 - 6. Calculate the remainder when v(6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 12*y**2 - y + 12. Let m be n(5). Suppose 3*p + 21 = -3. Let o be 2\/p - m\/(-36). What is the smallest value in -4, 13, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 14.99327.\nAnswer: 0.4497981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1133.24?\nAnswer: 1133.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8163784.\nAnswer: 2, 331, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 55. Let o be q(14). Let l = -15 - -11. What is the remainder when 22 is divided by (-3)\/(o\/(1*l))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 9. Suppose 7*c = 2*c + 20. Let m(d) = -d**2 - 3. Let y be m(-2). Let g(w) = 2*w + 5. What is c*u(j) + y*g(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 12 + 80*d**2 + 12 - 23. Is 11 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 27, -5, 4 in increasing order.\nAnswer: -5, -3, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 8*k + 5. Let p be y(-5). Let z = -12 + p. Suppose -7 = -5*c - 2, -55 = -z*u - 4*c. Calculate the remainder when 65 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 26. Let c be s(-13). Solve c = -2*h - 1 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47604 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 469 and 812.\nAnswer: 54404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11860208*2.\nAnswer: 23720416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.53 + -0.348. Let u = d - 0.067. Let i = -4.885 - u. What is the closest to 2\/5 in 2\/29, -0.3, i?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = 21*b + 12. Let q(l) = l - 1 - 7*l**2 + 3*l**b + 2*l**3 + 5*l - l**3. Let y be q(2). Solve -y*t - 5*h + 0*h + 7 = 0, -10 = -5*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-48)\/10)\/((-40)\/100)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-102)\/4)\/((-3)\/12). Suppose 0 = p + t + 64. Let i = -118 - p. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246516161 to the power of 1\/3, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = a + 4. What is the greatest common divisor of 114 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110111011111 (base 2) to base 8.\nAnswer: 66737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(1520\/(-171))*-4\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 12*h + 1. Determine r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 8 + 4\/3*x + 4\/9*x**3 + 4\/3*x**2. Factor c(d).\nAnswer: 4*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 164468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 1329*l = 1332*l + 90, 53 = -2*a + 5*l for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 1. Let x be f(-9). Suppose -b + 2*m = -8, -4*b + 0*b + 5*m = -x. Calculate the remainder when ((-6)\/(-4))\/((-3)\/(-54)) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.95 plus -7615738745?\nAnswer: -7615738756.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 29 + 0 + -1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -95209677\nAnswer: -95209636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s**2 - 2*s + 2. Let r be (80\/12)\/4*3. Is b(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832816597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y - 8. Let h(s) be the first derivative of -s**4\/4 + 5*s**3\/3 + 7*s**2\/2 + 1. Let l be h(6). What is u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123317 is divided by 4128.\nAnswer: 3605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-12)\/9. Let v = -0.16871 - -0.26871. Which is the nearest to -0.04? (a) 1 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - -113. Suppose 120 = -w + l. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 33*c - 1. Let n be y(2). Suppose -3*h = 4*r - n + 11, -4*h = -r - 53. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 3176588 = -327*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -46.\nAnswer: -46, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -50*n - 1\/2*n**3 + 10*n**2 + 0 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 195. Let q(l) be the first derivative of l**4\/12 + 5*l**3\/3 - 5*l**2 + 24. Let b(a) be the second derivative of q(a). Determine b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*z - 125, -b - 155 = -6*b - z. Solve -9*k + b = 39 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-23) - ((-1272)\/(-184) - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by -9.\nAnswer: -71\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.241951ml in litres?\nAnswer: 0.008241951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -190\/7 (b) 0.2 (c) -5 (d) -1.2 (e) -10\/11 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 125 = -f, -3*f = p - 9. Is 27 a factor of (-81)\/(p\/(-8))*(-3)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 8*n - 1. Let o be s(-8). Is 53 - (o - -1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, f: 3, b: 4, k: 4}. What is prob of picking 2 i and 2 b?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 35761 (c) -27 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.89 + -0.11. Let k = -2 + n. Let q = -4 - k. Is q smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13247 by 24.\nAnswer: -13247\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46886*c**2 - 62740 + 62740.\nAnswer: 46886*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2. Let y(r) = r**2 + 3*r - 23. Let s be y(-7). Let h(t) = -3*t**2. Calculate s*o(x) - 6*h(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -9, 0.06, -0.04?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 147033.\nAnswer: -147033.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*y**3 - 193*b**2*y - 529*b*y**3 + 4*b*y + 3*y**3 + 83*y**2 wrt y?\nAnswer: 6*b**2 - 3174*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + 222*h**3 + 65*h**2 + 17*h - 363162562 wrt h.\nAnswer: 4*h**3 + 666*h**2 + 130*h + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 5*p**2 - p + 8. Let z(t) = -t**3 + 6*t**2 - t + 10. Give -5*v(c) + 4*z(c).\nAnswer: 6*c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d**(-33)*d))*d**(-5\/8))\/(d*((d*(d*d**(-13))\/d)\/d*d)\/d)**(5\/13) assuming d is positive.\nAnswer: d**(-2809\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 + (145\/11 - 1). Let v be 1 + w + 5*(-6)\/(-30). Let z be 456\/28 + (-4)\/v. Solve -7*x + 3*x = -z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83 and -918784.\nAnswer: -918867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 35*b - 191. Let u be y(-7). Solve 0*q = 5*q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 8*f - 9. Let x(u) be the first derivative of 2*u - 3\/5*u**5 - u**3 - f - 7\/4*u**4 + 3\/2*u**2. Factor x(j).\nAnswer: -(j + 1)**3*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -819 + 938. Let q = 21 - 8. Calculate the remainder when q is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -153 (b) -69 (c) 321\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -12*o - 54. Suppose 2*z - 4 = 2*g, 0 = z - 0*z + 2*g - 8. Suppose 2*y - z*x = -9 + 1, 5*x - o = -y. Solve -c = y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -3692. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042 less than -5.7?\nAnswer: -5.6958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*((2303\/(-196))\/(-47))\/((-1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -4*z - 6, -3*d - 3 = -3*z. Let v = -1.54 + 0.5. Let n = 1 + v. Which is the nearest to n? (a) 2\/7 (b) d (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 896 = 11*i - 13*i, 1335 = 3*i + 3*k. What are the prime factors of i?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6022 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*o - 9. Suppose 5*y - 45 = -5*h, -y + o = -h + 7. Suppose 2*u + u - 3 = 0. Calculate the greatest common divisor of h and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13888616947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 101. Let b = u - 37. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/38 and 7\/4 + -1 + (-1643)\/(-372).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168209143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 4*k**4 - 2*k**2 + (4*k - 24*k + 0*k)*(-k**3 + 3*k**3 - 5*k**3) + 3*k**2 - 3*k**2 + 2*k**4.\nAnswer: 58*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 24, 37, 50, 63?\n\"Answer: 13*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7623*x**4 + 5842*x**3 + 79758*x**2 + 3*x - 18?\nAnswer: -182952*x + 35052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s + 2. Let a be d(-2). Suppose 2*x + 34 = -z, -309*z + 3*x - 59 = -308*z. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767992063.\nAnswer: 6449, 119087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -41.\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206335\/2900 + 36\/(-240).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/15 - w**4\/4 - 7*w**3\/6 - 1959*w**2. Let y(u) = -u**3 + 3*u**2 - 5*u - 6. Calculate 5*k(h) - 6*y(h).\nAnswer: 6*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-19)\/798)\/(8\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2\/95 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/5))\/l)**(-2\/65)*(l\/(l**(-4\/9)*l))**(11\/4) assuming l is positive.\nAnswer: l**(3629\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*h - g, -2*h = -7*h + 2*g + 213. Suppose 2*s - 14 = 3*c + 64, -s + c = -h. Calculate the greatest common divisor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/35 (b) -0.4 (c) 10\/77 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*d - 31, -3*d - 5 = v - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 224928.\nAnswer: 2924064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5811831.52 + 5807766.48293. Let u = g + 4065. Round u to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -914 or -26542\/29?\nAnswer: -26542\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpp when four letters picked without replacement from {p: 3, l: 1, h: 6, c: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-26)\/(-14) - 2). Let r be 320\/728 - (-2)\/(-7). Let l = -3 - -3.2. Which is the closest to l? (a) -2\/11 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 - (1 - -3))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -704.\nAnswer: 25\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i + 31. Let h be (3 - i)\/(9\/(-12)). Suppose -5*n = -3*n - h. Solve -y = -n + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48453, -96786, -144997, -193086?\nAnswer: -241053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9781 + 342383\/35. Calculate the common denominator of m and 19\/281.\nAnswer: 9835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 5*x**4 - 14*x**3\/3 - 2*x**2 - 9*x - 6. Let p(t) = -t**3 + t**2 - t + 1. Let n(d) = 5*p(d) + z(d). Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -71. Let k = 1241 + -1241.3. What is the closest to 0.1 in t, k, 3, 60?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1389252098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-10)\/3. Let t(m) be the third derivative of m**6\/120 - m**5\/15 - 5*m**4\/24 + m**3\/2 + m**2. What is t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12848*g**2*t**4 + 12*g**2*t**3 + 12212*g**2*t - 8*t**2 wrt t.\nAnswer: -308352*g**2*t + 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 5. Let f = m + 5. Suppose 0 = -2*u - 3 + 11. Solve -16 = -u*x - f*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 2. Suppose -6*b + 40 = 4. What is the remainder when o(-2) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -1, -49\/4, 0 in decreasing order.\nAnswer: 0, -1\/9, -1, -49\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -607 + 165. Let o = z + 466. Calculate the highest common divisor of 72 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1501*f**3*p + 72*f**2*p**2 - 133*p**2 - 121 wrt f.\nAnswer: -4503*f**2*p + 144*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u + 225 = -295 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251211085 divided by 59.\nAnswer: 4257815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let a(k) be the third derivative of k**4\/8 + 3*k**2. Determine w(a(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7.9, 113, 2\/7 in ascending order.\nAnswer: -1, 2\/7, 7.9, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*t + 2, -4*n + 5*t = -2 + 6. Suppose 13*b - 10*b - 27 = 0. Let c(p) = -7*p - 8. Let v(l) = 15*l + 18. Let u(d) = b*c(d) + 4*v(d). Give u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -4\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 407*r**2 + 406*r**2 + 142 - 811*r**2.\nAnswer: 2*r**2 - r + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29090 and 40.\nAnswer: 116360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 14 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 25. Calculate the remainder when x(-15) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3132 - 130012010?\nAnswer: -130002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y = 2*r, -65*r + 63*r = -12. Solve 4*n = -5*s + 5, -4*s - 14*n = -11*n - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6870*v*w + 8*w - 146 with respect to v.\nAnswer: -6870*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*r + r = 3*g + 18, 24*g + 5*r = -87 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-156)*40)\/8\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 496 = 101*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1423, -2841, -4259, -5677, -7095, -8513?\n\"Answer: -1418*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 889862191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10267 + 24285. Calculate the greatest common divisor of 86 and u.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 3. Let x be r(-5). Suppose 36 = 4*f - c, 5*f - 2*c - x = 34. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -33 + 3246\/162)*6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.787446 days to seconds.\nAnswer: 68035.3344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1866 - 1867. Put p, 0.3, -0.0418, 4 in descending order.\nAnswer: 4, 0.3, -0.0418, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 2*r - 2. Let p = -13 + 24. Let i = p + -10. Let k(b) = -1. Calculate i*n(l) - 2*k(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1098*k + 4668. What is the remainder when z(-4) is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(3\/9). Calculate the common denominator of ((-1)\/y)\/((-1)\/3) and 61\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-5)\/(-25)*-15. Calculate the remainder when 28 is divided by 15 - 12\/p*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s + 3. Let i(b) = 8 + 0 - 14*b - 9*b. Let y(j) = -8*g(j) + 3*i(j). Let l(w) = -5 + 3 + w**2 + 2. Calculate y(l(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-6)*-1*(-1130220)\/22932)\/(1\/(-2)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppp when four letters picked without replacement from {o: 2, p: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -399.14 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22421.\nAnswer: 7, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 723145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by 4\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4489472059?\nAnswer: 4489472059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 345.\nAnswer: 71\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let l be q + 5 + (-1 - -1). Let h(x) = -x**3 + 4*x**2 + 5*x + 6. Does 3 divide h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2 - 15*c - 15. Let k = -31 + 33. Let a(u) = 4 - 7*u**2 + u**k + 4*u + 3*u**2. Determine -15*a(o) - 4*q(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -3, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from {p: 2, q: 1, w: 1, c: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 58 + 229 - 2634*k**2 - 54 - 55.\nAnswer: -2634*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 1005 - 555 = 60*o - 1062 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1866, 3732, 5596, 7458, 9318?\n\"Answer: -b**2 + 1869*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/9 + 0\/(-1). Let v(w) = 15*w + 2. What is the units digit of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3644 is divided by 518?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 42. Let s be m\/8 - (-5)\/(-20). Let w = 36180 + -36180. Solve -s*z - f = -2*f + 9, w = 4*z + f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.06 + -35. What is the third smallest value in 2, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 59. Let o be j(10). Calculate the greatest common factor of o and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02117 + -12178705096\nAnswer: -12178705095.97883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381.3 - -381. Let s = 0 + 0.3. What is the biggest value in -7, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -10, 4\/5, 5, 3\/7, 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70251 + -31?\nAnswer: 70220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 13 + 32\/(-2) - -4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 31*l**3\/6 - 3*l**2\/2 - 71*l + 3. Let q(h) = 50*h - 4. Let y(p) = -5*q(p) + 8*w(p). Determine y(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.47, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2190 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 0.23 in ascending order.\nAnswer: -1\/2, 0, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -2272744?\nAnswer: -2272744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*o**3 + 65*o**3 + 86*o**3.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*i - 226*i - 3*b - 91, -2*b - 52 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -311, -223, -147, -89, -55, -51?\n\"Answer: -r**3 + 95*r - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11*z + 2487. Suppose -3*w + 1239 = -3*t + 6*t, w = -2*t + z. Is 39 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558.6978 centimeters to nanometers.\nAnswer: 5586978000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqy when four letters picked without replacement from grokgrykqrqory?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 51*h + 670. Give s(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.782354l in millilitres?\nAnswer: 6782.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10502 + -10506. Sort 4, -2, 12\/11, t, -5 in increasing order.\nAnswer: -5, t, -2, 12\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1382201160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/26 - 10\/(-65). Suppose 0*k - l*k + 8 = 0. Calculate the remainder when 5 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7 + a**3 + 7*a**2 + a + 3*a**2 - 4*a**2. Let n be u(-6). Let r = 10\/17 + -76\/187. What is the closest to n in -2\/3, 0.6, r?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) - (-44)\/6. Suppose 4*f + 213 = u*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 87.\nAnswer: -86.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 - 27*n**3\/2 - 31*n**2 + 54*n + 116.\nAnswer: (n - 29)*(n - 2)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 732929 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -118440.37 to the nearest 100.\nAnswer: -118400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 + 5*i. Let o(l) = 42*l**2 + 36*l. Let c(g) = 5*o(g) - 36*r(g). Let n(q) be the third derivative of -q**4\/24 + 3*q**2. What is n(c(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*b**27)\/b)))\/b)\/(b\/(b\/b**(-1\/72)))*(b**7)**(4\/15) assuming b is positive.\nAnswer: b**(10037\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 - 144*u**4 - 2520*u**3 - 18816*u**2 - 49392*u.\nAnswer: -3*u*(u + 6)*(u + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3258860, -6517686, -9776512, -13035338, -16294164, -19552990?\nAnswer: -22811816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 55080*q**3 - 379556136*q**2 - 4548726720*q - 13640234112 = 0. What is q?\nAnswer: -13764, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*a - a - 60 = 0, -4*g = -4*a - 28. Suppose g = 4*h + 3. Let o = 8 - h. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479041.5 decades in months?\nAnswer: 57484980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -267, -2, 2, 20.\nAnswer: -267, -2, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4151 (base 8) to base 3\nAnswer: -2221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -4 (c) 0.8 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023238 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*y**6 - 4*y**2 - 24*y wrt y.\nAnswer: -3840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3172628.1 and 16.\nAnswer: -50762049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*j - 186, 4*n - 2*j + 4*j - 234 = 0. Round n to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (18 - (-4 - 7 - -20)) + 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173305*n**3 + 127*n - 127*n + 173310*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124210*o**3 + 2*o - 2*o - 124189*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126066390 to the nearest integer?\nAnswer: 11228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/23 - 2*j**3\/23 + 26*j**2\/23 + 2*j\/23 - 24\/23 = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1444 + 2?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.695984ms in minutes?\nAnswer: 0.0000282664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-2995)\/3980 - (-15)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + 25. Suppose 106 = 3*o + 2*u, o + 2*o - 4*u - 130 = 0. Suppose -4*k = -v + o, -v = 2*k - 9 + 1. Calculate the remainder when t is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -5*d + 0*d**3 - 1\/6*d**4 + 0*d**2 + 0. Let z(b) = -11*b**2. What is z(o(r))?\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 + -0.78. What is the nearest to 0 in 5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 146*t - 21. Determine y(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1924 and 37124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = -3*p, 2*y + 5*p + 18 - 3 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/104 and (-605)\/(-1530) + -2 + (-22)\/187?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.874 - 52. Let k = -0.07 + p. Round k to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5136 and 81673.\nAnswer: 419472528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:10 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(24)*-3)\/((sqrt(48) + 3*sqrt(1200))\/sqrt(8)).\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + 2 - (1 + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144758057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 14. Let w be f(6). Suppose 0 = w*x - 8*x + 180. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 107. Let q be 1\/(-4) + a\/12. Let h(m) = m**3 + 4*m**2 - 6*m + 3. What is the units digit of h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 8*c - 8. Let s be u(10). Suppose s = 4*r - 20. Suppose -8*f = -6*f + 4*y - 18, -f = -4*y - 3. Is f greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060, -336, 394, 1130, 1872, 2620, 3374?\nAnswer: 4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32987098 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 8, -13*i - 84 = 4*x - 14*i. Let z = x - -206\/9. Find o such that z + 2\/3*o - 2\/9*o**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01187 + -191.89913. Round d to zero decimal places.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 + 1330*j**2 - 615*j - 315*j - 370*j - 335*j**3.\nAnswer: -5*(j - 2)**2*(67*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06357*-22\nAnswer: 1.39854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -18250.\nAnswer: -18248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(4\/(-2)) - -1. Suppose 3*b - 243 = -87. Let f = b - q. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n**(-1)*(n**(1\/4)\/n*n)**(4\/3))\/(n**(-1)\/n**(-1)*n**(-1\/2)\/n**(-2\/11)) assuming n is positive.\nAnswer: n**(241\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 7*a + 6*a)*(19*a - 36*a - 212*a)*(4*a - 2*a - a).\nAnswer: -2061*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(-3 - (-18)\/4). Solve -p = w - 0*p + 1, -4*w + 3*p - c = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7680, -15404, -23128, -30852, -38576, -46300?\n\"Answer: -7724*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32132, -64262, -96396, -128534?\nAnswer: -160676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*t**2 + 231*t + 380*t - 35*t**3 + 318*t**2 - 37*t wrt t?\nAnswer: -210*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4254 = -16*k + 10526. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 + -2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -p + 5*l + 7, 0 = -2*p - 4*l + 10. Suppose -2*z = 19 - p. What is the closest to -2 in 5, z, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d*q**3 + 11238*d*q**2*z**2 + 6*q**3*z**2 + 58*q**3*z - 25*q**3 wrt z.\nAnswer: 22476*d*q**2 + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2\/(-4))\/((-18)\/(-180)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32815315?\nAnswer: 5, 13, 504851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-5)\/5 - -2). Let i = 0.04 - -2.96. Let v = -3 + i. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -3. Let h be ((-3)\/(m\/104))\/(8\/(-12)). Let b be (-5)\/(-15) - 2\/(18\/(-15)). Solve -b*o + h = 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252*z**2 + 2*z - 101.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -168*l + 64. Suppose -305 = -5*w - x - 4*x, 3*x + 73 = w. Let k(b) = -8*b + 3. What is w*k(i) - 3*n(i)?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 - 2*p + 3. Let q(x) = -12*x**2 - 3*x + 4. Give -5*c(o) + 3*q(o).\nAnswer: -6*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from iusggfa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 63389?\nAnswer: -5\/63389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36649 is divided by 4565?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j - 9 = 0. Suppose -19 = -4*d + 3*k, -j*d + 6*d - 3*k = 18. Let b be (6\/10)\/(d\/5). Solve 4*l + i = -15, b*l = 5*i + 5 - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1264, -5028, -11298, -20074?\nAnswer: -31356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 928654.77.\nAnswer: 4643273.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:23 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 67*h**2 - 120*h - 369. Let x(p) = -167*p**2 + 240*p + 738. Let d(u) = -15*i(u) - 6*x(u). Factor d(a).\nAnswer: -3*(a - 123)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885680233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.1. Let p = -0.1 + 0.5. Let v = 0.7 - p. What is the nearest to f in 0.4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846007619 a multiple of 1267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 10. Suppose -9*g + k*g - 3369 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11)*-2) + sqrt(13) + 4 + 0)**2.\nAnswer: 4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*h - 435335, 0 = -2*h + 4*j + 102048 + 115612. What is h rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2025.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/6 + 2*b**2 - 2*b. Let g be f(4). Solve -5*d + 4*y - 33 = g, 5*y + 5 = 2*d - 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z - 5*z)*(0 + 0 + 1 + (3 - 4 + 3)*(-3 + 3 + 1) + 3 - 3 - 1 - 1 - 3 + 2 + 1 + 1 - 4).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/143 or -31\/7?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 867.349*74\nAnswer: 64183.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1445 or -970?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 3, t: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 610525\/32 + -19079. Let m(v) = -v**2 - 13*v + 15. Let t be m(-14). Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3120 and 740415?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 6*o**2 + 10*o - 1. Let v be w(-7). Suppose 5*h + v = 8*h. Calculate the remainder when h is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 21*t + 2. Let j(r) = 4*r - 9. Let g be j(-3). Let u be x(g). Suppose f - 477 = -5*n, -u*n = -5*n + 4*f + 277. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.004354258 to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 9*p - 3. What is b(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-1\/6))**26 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003642592115 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 210 = -5*q + 335, -2*k = -q + 100. Suppose 48 = 3*n + 4*m, -5*n - 2*m + 46 = -20. Calculate the remainder when q is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011556 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -595.836 + -46994771?\nAnswer: -46995366.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -42. Solve w - 2 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - 0. Let j(i) = 14 + 1 + 5 + 2*i - x. Let a be j(6). Solve -a = -2*t - 5*v, -t + 4*v = 11 + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579945.2753+-20641\nAnswer: 559304.2753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 460 (b) 3\/8 (c) -0.747 (d) 2 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Let u(b) be the second derivative of -b**7\/2520 - b**5\/60 + 2*b**4\/3 - 55*b. Let r(v) be the third derivative of u(v). Give p(r(c)).\nAnswer: -2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4)*w**(2\/7))**(-25)*(w**(2\/7)\/w)**(-2\/27)\/((w\/w**(-1\/3))\/w**(1\/4)) assuming w is positive.\nAnswer: w**(-10177\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59542 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose n = 6*g - 5*g - 8. List the prime factors of (g\/6)\/((-6)\/(-81)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q + 7. Let m(w) = 3*w - 2. Let s(u) = 14*m(u) + 4*n(u). Let p(j) be the third derivative of -2*j**5\/15 + 4*j**2. Give s(p(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 10. Suppose -q*w + 9 = -6. Suppose 3*y - 18 = -w*u - 0*u, 0 = -4*y + 2*u + 6. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 1.27. Suppose 37*i = 19*i + 36. Which is the third biggest value? (a) 1.1 (b) -0.5 (c) h (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2\/4)\/((-15)\/50). Suppose -n = 4*j + 14, -n + 8 + 14 = -b*j. What is the greatest common divisor of n and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8073, -1\/2, 3, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/35 + 9\/5. Let j = -7 + g. Put 2, j, -1 in decreasing order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 75. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 35*m + 24. Let y be g(-11). Solve y*d = -u + 5, -4*d - 6*u = -2*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1365936 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 102280*o - 1022801. What is r(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2. Let x(v) = -4*v**2. Determine -5*x(i) - 6*y(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**7\/21 - y**6\/10 - 7*y**4\/12 - 3*y - 11. Find the third derivative of n(d) wrt d.\nAnswer: -120*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3 + s + 2)*(-21*s - 41*s - 51*s).\nAnswer: 339*s**2 + 113*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:57 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0)*2*3 + (sqrt(33) - (sqrt(33) - sqrt(2112)*-2))\/(sqrt(96)\/sqrt(2)).\nAnswer: 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/2*3\/(-54)*-9. Let y(x) = x**3 + 8*x**2 + 7*x - 1. Let n be y(-7). Let d be (n - -2) + 20 + -2. Solve 0 = 3*a + d - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 7800?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176584192?\nAnswer: 2, 193, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:53 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*x + 1365*z - 1360*z, 2*x + 14 = -6*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 4, t: 1, y: 6, s: 4, v: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*d + 18. Suppose -h + d*h = 74. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = 2*c, 6*c - 5*c + 3*k = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 4. Let b be j(-6). Let y = 3 - 2.5. Sort y, b, -0.02 in decreasing order.\nAnswer: y, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puuputpsutttt. Give prob of picking 1 p, 2 u, and 1 s.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.94 - 0.06. Let i = -18.1 - -18. Let p = 0.1 + i. What is the second smallest value in p, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/120 + y**4\/12 - y**3\/6 - 195*y**2. Give a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.04971 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975 and 64025?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31121*p**5 - 3*p + 11225?\nAnswer: -622420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401311201 - 313?\nAnswer: 401310333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -442 + 446. Suppose -o*x = -5*i + 7985 - 1513, -i + 3*x = -1301. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 42. Suppose z*a - 53 = 19. Calculate the lowest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 260 = -2*l. Let x be -4 - (-774)\/15 - 2\/(-5). Suppose -4*a = 3*m - 87, -m - 5*a - x = -2*m. What is the remainder when l is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352165 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t - 2. Let s be c(-6). Is -5 + 4 - 8\/s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52156, -104297, -156426, -208537, -260624, -312681?\nAnswer: -364702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6768 = -1181*v - 3612 + 15740 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 a when four letters picked without replacement from {v: 2, a: 2, p: 3, z: 8}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 11. Let l = h - -73. Suppose l*d - 32 = 168. Calculate the least common multiple of d and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(0 + (-1)\/(-5)). Let k(w) = w**2 + 4*w - 1. What is the units digit of k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 78*r**2 + 75*r - 21. Let j be z(-38). Let q be 74\/(-9) - ((-306)\/81)\/j. Let h(f) = -f**3 - 8*f**2 - f - 6. Calculate h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + d - 128. Suppose -24 + d = -4*h. Let i = 266 - 264. Solve -g - h = -i*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -561*n + 3 - 563*n + n**3 + 2*n**2 + 1110*n. Let b be i(-5). Sort -1, b, 3, 5.\nAnswer: b, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149064 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 87*w + 3 = -84*w, 3*a + 2*w + 11 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 6?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117\/15 + (-1)\/(-15)*3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171.549 + -76.352. Let l = 95.9 - a. Let i = l - 0.7. Round i to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 472, 5 in decreasing order.\nAnswer: 472, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(2*v + 0*v + 0*v)*(v + 0*v + 0*v)*(v - 7*v + 9*v)*(3*v + 2 - v - 3*v).\nAnswer: -6*v**4 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27657\/(-1317) + 3*-1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 47*b - 693437 = 713027. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {m: 1, q: 1, d: 1, u: 1, s: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z + 10. Let j be g(0). Let h(m) be the second derivative of -m**5\/20 + 11*m**4\/12 - 2*m**3\/3 + 2*m**2 + 5*m. Is 22 a factor of h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644347?\nAnswer: 11, 19, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -13205578255.\nAnswer: -13205578255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:42 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15*((v**(2\/17)*v)\/v)\/v assuming v is positive.\nAnswer: v**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -516019, -521382, -526747, -532114, -537483, -542854, -548227?\n\"Answer: -z**2 - 5360*z - 510658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20399 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 12*v + 7. Let b be f(11). Suppose 0 = -b*c + 24*c + 1200. Let x = c + 370. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*z = -36*g + 38*g + 10*z - 3*z, 4*z - 4 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385) - sqrt(385)*-1)\/sqrt(7)*6)\/((sqrt(55)*1*-5)\/sqrt(11))*4)**2.\nAnswer: 25344\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 16 + 8 = 0. Let h(f) = -f**3 - 7*f**2 + 9*f + 10. Let g be h(m). What is the second derivative of -2*v + v - 2*v + 3*v**2 - 5*v**g wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1253 divided by -55081.\nAnswer: -1253\/55081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455242 = 27*t - 100*t - 21*t. Calculate the highest common divisor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**34*h*h**1*h**(-4\/11) assuming h is positive.\nAnswer: h**(766\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:04 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 1. Let j be n(0). Let g be (6\/(-27))\/(j\/(-3)). Which is the third smallest value? (a) -2 (b) 3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 6*r + 50 = 0. Let h be r\/(-4) + 18\/(-72). Is (16\/12)\/(4\/h) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-26*s + 15*s - 10*s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 75 = 8*k. Suppose -2*i = -3*t + 3, 0 = -4*i - 2*t + k + 3. Suppose -24 = -4*u - 5*b, -7*b + 9 = -i*u - 4*b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10409891*l**3 + 1557657*l**2 - 3*l wrt l.\nAnswer: -62459346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2031210585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2*d + 10, -15*d + 10*d - 25 = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -1 + 0*m**3 + 0*m**4 + 7\/6*m**6 + m**2 + 0*m + 0*m**5. Find the second derivative of w(c) wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 14. Let p(l) be the first derivative of -l**3\/3 - 3*l**2 + 10*l - 3. Let j be p(-7). Calculate the highest common divisor of a and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose h*v = 2*v + 34. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128968, -515757, -1160408, -2062927, -3223320?\n\"Answer: -h**3 - 128925*h**2 - 7*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + -6 + (2 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Let s(o) = -128*o**2 - 2. Give c(s(q)).\nAnswer: -32768*q**4 - 1024*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 1. Let a(o) = 6*o**2 - 2*o - 2. Let f(p) = -3*a(p) + 6*w(p). Let l(y) = y. What is f(l(q))?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -111.97. Let t = -202.03 + 203. Let a = b - t. Is -2 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlhdlny. What is prob of sequence hnd?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5692518540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1774, 1534, 1294, 1054?\n\"Answer: -240*u + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -688 - -694. Is (-49)\/14*-206 - -1*m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 390, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6. Suppose -6 = -2*b - b - 4*a, 3*b - n = 2*a. Suppose 3*m + 4*q + 3 = -b, -4*q = -3*m + 35. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68811 - 68781. Let k(x) = x**2 + 3*x + 1. Let a be k(-6). Suppose -a = -3*m + 17. What is the greatest common factor of m and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 405.65 - 400. Let y = i + -5.35. Which is the nearest to 0.03? (a) -0.5 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -814 + 814 - 576*p**2 - 1712*p**2 to the form m*p + u*p**2 + s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*s - 260 - 20, 3*s - 273 = 3*x. What is the greatest common divisor of s and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1215 = -h. Let r = h - 143. Suppose 5*q = -0*q + r. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4387300 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t - 344. Calculate l(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 54*p**3 - 2*p - 3*p**4 - 6*p**2 + 4*p**2 + 0*p**4 - 56*p**3 in the form o + m*p + i*p**3 + r*p**2 + l*p**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303424613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*n + 5*p - 779, 2*n + 391 = p. Let g = n - -137. Is (g\/4)\/((-5)\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s**(-1\/3))\/(s*s**(2\/9)\/s*s**(-8)*s) assuming s is positive.\nAnswer: s**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 2*z + 1 + 1)*(z - 2*z + 2*z).\nAnswer: 8*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:40 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = o, 3*g - 48 = -4*o - 7. What is the remainder when o is divided by (19\/(-6) - 47\/(-282)) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108203349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.95 + -1.95. What is the nearest to 0.1 in z, 5, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 241*q + 2092. What is s(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 258 = 4*s, 0 = -p + 4*p - s + 273. Let x = 108 + p. Suppose -x = 5*m - 11*m. Solve -15 = -m*j - 5*g, -4*g = -0*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-6)*18\/(-12). Let y(r) = 2*r - 1. Give y(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i + u + 5, -15 = -4*i + 3*u. Suppose 239*q - 240*q + 3251 = i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 - 49*q + 242. Let k be s(4). Let h(d) be the second derivative of -d**5\/20 - d**4\/4 + d**3\/6 + 2*d**2 + d. Give h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 101. Determine l(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.3, -4, 25, 1?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -4*s + 5*u, 213 = 2*s + u + 19. Suppose 0 = 39*t - 40*t + s. Is 49 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5555, -5556, -5557, -5558?\n\"Answer: -f - 5554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**2 - 25*u**3 + 85*u**2 - 20*u**2 - 32*u**2 + 0*u + 3*u.\nAnswer: -25*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -348\/7. Let n = -689358\/5555 + -7\/2222. Let g = -124 - n. Which is the nearest to l? (a) 3\/4 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 24. Let j = k + -29. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 166.16484 months?\nAnswer: 0.01384707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4764 from -3352881296.\nAnswer: -3352881296.4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - 4*r - 24. Let b be d(-6). Let a = b - 100. List the prime factors of (3 + a\/(-2))*-1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 - 1 - 15*g**3 + 16*g**3 + 6*g**2 - 2*g. Calculate a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18691 times 0.2\nAnswer: -3738.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7419.7855 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (22\/24)\/((-2)\/3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 742847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -561 times 12096\nAnswer: -6785856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(192)*1 + sqrt(192))*1)**2.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43 times 618368\nAnswer: 26589824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -18, -54, -118, -216, -354?\n\"Answer: -p**3 - 5*p**2 + 8*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + 1. Suppose 2053*u - 166 = 2052*u + 5*v, 4*u - 3*v - 511 = 0. Calculate the least common multiple of r and u.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 7*c**2 + 8*c + 13. Let i be n(-6). Let z be 138\/14 - i\/(-7). Solve -z = -3*a - 2*b, 6*b = 4*a + 4*b - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k + 4. Let o be w(9). Solve r + o = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 53*y**2 + 428*y**2 + 190*y**2 + 16 + 118*y**2.\nAnswer: 789*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hohh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*j = 37161, 0 = 21*y - 25*y - 4*j + 74332. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-56)*10)\/(6\/4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-748)\/(-119) + ((-10)\/(-14) - 1). Suppose 0 = s*z - 18*z - 34560000. What is z rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010010 - -100?\nAnswer: 10011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62 + -3*(-3)\/(-9). Let x(s) = -119 + k + 58 - 2*s. Let l(t) = -5*t**2 + 2*t. Determine l(x(h)).\nAnswer: -20*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 8*l + 3. Let c be g(8). Suppose -2*a + 183 = -p, 3*a - 7*a + 553 = -c*p. Let o = 939\/5 + p. What is the third smallest value in -4, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 198974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/(-3)*(((-13695)\/198)\/83)\/((-25)\/(-45))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540469887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 142*r - 2337. Let u be s(15). Which is the nearest to -14? (a) -6 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38802835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-587 - 706 - 417)*(2*c**2 + 2*c**2 - 5*c**2)*(4 + 2 - 4).\nAnswer: 3420*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from ghhthhtthhggthttgt.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 123.01. Let d = -400.01 - r. Let j = -399.99827 - d. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmoonqonoqqmm. Give prob of sequence qo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(2100) - sqrt(2100))\/(sqrt(252) - (sqrt(252) + 2*-1*sqrt(252)) - sqrt(252)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29702129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.3. Which is the smallest value? (a) -1 (b) w (c) -2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03124 - -959.07124. Round q to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose 2*j - 4 = -t*x, 3*j + 0*j + 4*x - 14 = 0. What is the remainder when 18 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 17, -22, -2\/13, -4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 4. Let f(k) = 12*k + 15. Calculate 6*f(g) - 22*v(g).\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {w: 5, m: 9, g: 2}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3333088232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -0.536?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798*u + 33980 = 4*l + 795*u, 0 = -3*l - u + 25485. What are the prime factors of l?\nAnswer: 5, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 13*f**2 - 12*f + 4. Let r be a(12). Let p = 3 - r. Are -1 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 89. Solve o*a = 3*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 401*m - 3180. What is the hundreds digit of z(109)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 20*a**2 + 38*a - 6. Let q be v(-17). Let s = 14 - 7. Suppose -2*p + s*p = q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 9*m**2 + 15*m - 3. What is d(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/64, -0.4, 0, -253567?\nAnswer: -253567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1871811*p - 4 - 1908523*p as z + h*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47936*z**4 - 3*z**2 + 117*z - 3 wrt z.\nAnswer: 1150464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/((-9)\/(-108)). Calculate the remainder when 9 is divided by ((-20)\/(-6))\/(2\/z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(25)\/sqrt(5))**2 + (sqrt(5)*-2)**2 + -3)*4 - 6*(0 + sqrt(80) + -4).\nAnswer: -16*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 244*m - 250. Give r(62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v**3\/6 - v**2\/2 - 23*v. Give b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) + sqrt(1872) + 1)**2) + -2 + 1*4*sqrt(1872).\nAnswer: -7491 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 165146 + 18?\nAnswer: 165165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980379230?\nAnswer: 2, 5, 98037923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k, -5*h + 2*k + 3 + 1 = 0. Let 2*w**3 + 0*w + 9*w**2 - 8*w**4 - 4 - 3*w**h + 6*w**4 - 2*w = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 4 + (21 - (31 - 20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -43\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*c + 9. Let p = 4 - 2. Suppose 7*f - p*f - 15 = 0. Solve -x + 15 = 4*u, c = -f*x - 0*x - u + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/3, -5, 39596.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12787.2010007 + 12778.301. Let f = -8.9 - s. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (743 - 5*f + 190 + 4*f)*(-2*f**2 + 4*f**2 - f**2 + (-2*f + 2*f - 2*f)*(2*f - 3*f + 0*f)).\nAnswer: -3*f**3 + 2799*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + (27 - -8) + 7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2891.\nAnswer: 5\/2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294453 by -32717.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130261 - -47?\nAnswer: -130215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 13*g + 7742 = 5*g. Is -3870\/7 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -17*v**2 - 41*v + 36. Determine c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*q**2 - 333*q + 295*q + 38*q.\nAnswer: 79*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-15)\/(-6) + 0). Let w(o) = -4*o + 3. Let l be w(z). Calculate the lowest common multiple of 3\/1 - (l - -6) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62025 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -694 divided by 4876\nAnswer: -347\/2438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -143, -8 in increasing order.\nAnswer: -143, -24, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let l(r) be the first derivative of 152*r**2 + 1387. Calculate x(l(s)).\nAnswer: 608*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1846 - 0.0846. What is the third biggest value in 10, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227*z - 1225*z = -7*j + 8, -2*z - 4 = 4*j for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*((0*y - y + 2*y)*(-3 + 5 - 3) + 0*y - y + 0*y - y + 2*y + 2*y)*(439*y + 3 + 2517*y - 482*y).\nAnswer: -4948*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 44*o - 40*o. Is (5511 - 2)*7\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 326 = -221 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -836657*y**5 + 1041199*y wrt y.\nAnswer: -16733140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**20\/m*m**(3\/11)*m assuming m is positive.\nAnswer: m**(223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256488 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -599561 - -392771. Round p to the nearest one thousand.\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 4*c - 1. Suppose -2*a + 27 = -5*f, -a - 3*f + 30 = -0*f. Calculate the remainder when a is divided by n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 50. Factor -k**3 - r*k**4 + k**2 + 5*k**2 - 12*k**3 + 16*k**3.\nAnswer: -3*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 23*u**2 - 6*u**2 as l*u + w + i*u**2 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 2. Let s(q) = q - 1. Let v = 20 + -25. Calculate v*s(m) - 3*r(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 674415 times -432\nAnswer: -291347280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = 3*w + 2, 0 = 4*f + w - 17. Let x(u) = u**2 + 3*u - 7. Let k be x(-5). Suppose s - k*s = -8. Solve f + 3 = -s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubbebbhbbhubzzzb. Give prob of sequence zzb.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 30*u + 26 = 4*z, -5*u = z - 32. Let g(q) = 5*q + 1. Let c(a) = 26*a + 5. Suppose 1 = -h - 2*f, -3*f = 4*h - 0*f + 29. Determine h*g(n) + z*c(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5790*u = 5938*u + 3552 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -47. Suppose 2*r = 4*r + 2*n - 70399990, -70399980 = -2*r - w*n. Round r to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3 = 5*d, -85*d - 12 = 4*p - 81*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17.93. Let c = r - 0.17. Let d(u) = -u**3 + 6*u**2 - 5. Let w be d(6). What is the nearest to c in w, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4230626300 and -11841.\nAnswer: -4230638141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*m + 2*m**2 + 1782 - 1782 as f*m + l + i*m**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 - 12.72. Let z = l + 13.4. Let d = z + -0.4. Which is the third biggest value? (a) -2\/7 (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*m + 695*m - 1454*m - m**2.\nAnswer: -m**2 - 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479380536 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-14))\/(-31*47\/(-5828)). Let w = -4.3 + 1.3. Let i = 0.2 + -0.1. What is the second smallest value in i, w, 1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218426545 divided by 5?\nAnswer: 43685309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70947056 by 51824.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -59*v + v**3 + 0 - 1\/3*v**4 + 1\/30*v**5 - 4\/3*v**2. Determine z so that d(z) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3136 and 980?\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 12811.2054 to 0 decimal places.\nAnswer: 12811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -80*r**2 - 46476*r + 2323. Give b(-581).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 542*r - 363. Let c(h) = -135*h + 91. Let m(l) = -9*c(l) - 2*x(l). Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**5 + 324*x**4 - 2208*x**3 + 4734*x**2 - 1377*x - 1458 = 0.\nAnswer: -2\/5, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1239 in decreasing order.\nAnswer: 1239, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 17498 = 6*z - 15387, 5*z - 27380 = -4*q. Calculate the smallest common multiple of z and 2192.\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-49)\/21)\/(140\/(-2144280))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 144 + 402. Calculate the common denominator of 9\/a*(-3 - 74\/12) and -5\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2505 = -23*k - 1147 - 3451 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*l - 34*l + 5*v + 7613, l = -v + 7625. Is l a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4130*p - 3783083. Determine g(916).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26133\/42)\/(-31) + (-3)\/(-1 - 41)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70098139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - 14037\/(-9). Suppose -6*w + 390 = z - 2*w, r = 4*z + 3*w. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/29 in 0.4, 145, 1016?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/42)\/((-12)\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-4))\/(h\/(h**(1\/5)\/h)))\/((h\/h**(-2\/23))\/((h**(3\/2)*h*h*h)\/h)))**(-5\/2) assuming h is positive.\nAnswer: h**(549\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97645, 195294, 292943, 390592, 488241, 585890?\nAnswer: 683539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kgwkkkwgwkwgk.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -117*w - 283. Let y be ((w\/4)\/(-1))\/((-576)\/(-1152)). Factor 2*t - y - 1\/2*t**2.\nAnswer: -(t - 3)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 34*c**4 + 4*c + 32*c**4 + c**2 as q*c**4 + t + h*c**2 + n*c**3 + u*c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937 - v**3 + 954 + v - 2848 + 7*v**2 - v + 934.\nAnswer: -v**3 + 7*v**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 3*l)*(3*l**3 - 5*l**3 + l**3).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -524999*v - 12. Let n be k(12). What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 49*o. Let y(r) = -2*r - 12. Let f be y(-2). Let n(s) = 5*s**2 + 3*s - 3. Let q(x) = 14*x**2 + 8*x - 8. Let k(u) = f*n(u) + 3*q(u). What is a(k(i))?\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - 43\/(-4). Let f = -1 + r. Let s = 48 - f. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13317, 13322, 13329, 13338, 13349, 13362, 13377?\n\"Answer: o**2 + 2*o + 13314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -5*t**7\/42 + t**6 - 7*t**5\/2 + 20*t**4\/3 - 15*t**3\/2 + 5*t**2 - 6*t - 8. Suppose a(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:54 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -5 (b) 0.05 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*x + 1)*(2 - 1 + 1 + 44 - 39 - 41 + (3 - 4 + 0)*(-1 + 1 - 2) + 1 - 3 + 0).\nAnswer: -136*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -234. Suppose b = -4*b + 45. Calculate the remainder when v is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:17 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-1 + -4 - -5). Calculate the highest common factor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 5 = 4*s. Let d be s\/((-2 - 0)\/(-2)). Let b be (-18)\/5 + (-2)\/5. Sort b, d, -2.\nAnswer: b, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - z = -37, -3*a - 2*a - z = -193. Suppose 0 = -9*k + 12*k + 4*v + 872, -5*k - 3*v = 1435. Let x = a - k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**(-25)*f**(1\/3)*f\/(f\/f**6) assuming f is positive.\nAnswer: f**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 9*w**2 - 21*w - 9. Let s be c(11). Let m be (9\/s)\/3*(-26)\/(-3). Solve -o = 2*v - 0*v - m, -3*o + 19 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - v + 3 = -5, -4 = 2*v. Let g = u + 4\/3. Is g < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39090\/9 + 5 + 6\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 3*m**4 - 2*m**4)*(5*m + 7*m - 5*m).\nAnswer: -35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10896)\/4086)\/(1 - (-8)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/16 (b) 0 (c) -4\/3 (d) 2 (e) -66 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1195.6 + 1197. Suppose -2*g - 5 = -3. What is the closest to 0 in g, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o - 92. Let p(c) = 7*c + 93. Determine 6*j(m) + 5*p(m).\nAnswer: -m - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 1, d: 5}. What is prob of picking 2 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 307061022?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21.7153 and 4.\nAnswer: -17.7153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 117409 - -0.030691\nAnswer: 117409.030691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let w(p) = -92*p**2 - 108*p**2 - 3*p + 89 + 3*p + 189*p**2. What is w(t(k))?\nAnswer: -11*k**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67788179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526*w + w**2 + 1053*w + 72 - 528*w to a*w + s*w**2 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/42 and -65\/51?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2. Let f(u) = 5*u + 2 - 2*u - 2*u + 0*u. Let s be f(0). Let l(g) = g**2 + 1 + s - 3. Determine l(t(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -25*a - 6. What is the tens digit of q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1553 + -1163. Let u = 1 - -2. Suppose -9*j + c = -u*j. What are the prime factors of j?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = -5882 + 1778. Let d(r) = -79*r**2 - r + 1. Let u be d(1). Let c = u - g. Calculate the remainder when c is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700) + 2 - -1*(sqrt(700) + 0) - ((sqrt(700) - (sqrt(700) - (3 + 2 + sqrt(700)))) + sqrt(700) - (sqrt(700) - 1*sqrt(700))*4))*-6*-5)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2, 4*l - 5*h = 2*l + 9. What is the greatest common divisor of 9 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 34, 53, 72, 91, 110?\n\"Answer: 19*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c - c)*(-7 + 7 + 2*c) + 6*c**2 - 2*c**2 - 3*c**2 to the form h + n*c**2 + a*c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31692 by -3.\nAnswer: -10564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 151. Suppose -2*c + n = -c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5174 is divided by 1723.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2669, 0, 2, 4, -8.\nAnswer: -8, 0, 2, 4, 2669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 657, -10\/7, 93, 3\/4 in descending order.\nAnswer: 657, 93, 3\/4, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 381 = -6*z + z, -o + 3*z = -131. Let h = -117 + o. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(0 + 10*c + 0) + c + 7*c - 2*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j**3 + 9*j**2 - 12*j - 6. Let v be i(-8). Suppose -v + 131 = -5*w. Does 37 divide (7 + -2)\/10 + w\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:38 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 674*z + 672 = 0. What is z?\nAnswer: 1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:46 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 201.5. Let n = 201 - 134. Let h = z + n. What is h rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 61 and 2920.166.\nAnswer: 2981.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/7)*p)\/p*p*p**(6\/7))**(1\/78))**(4\/7))**(-1\/7) assuming p is positive.\nAnswer: p**(-22\/13377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -0.1, 48, -16\/5.\nAnswer: -5, -16\/5, -0.1, 0.4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161615244 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hphhpp. What is prob of picking 1 h and 3 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2815, 5864, 8913?\nAnswer: 11962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72562 = 206*r + 624*r - 3926 - 6512 for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 + y**2 - 2*y**2)*(131*y**2 + 158*y**2 - 102*y**2) - 3*y + 3*y - 2*y**4.\nAnswer: 1120*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(-1590))\/(1\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by 5\nAnswer: 206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570275 is divided by 9681.\nAnswer: 8777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 h when four letters picked without replacement from hhhhhfhfhhhh?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690 times -11?\nAnswer: -62590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Find the second derivative of -8*k + k**4 + 0*k**4 + i*k wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/504 and -89\/440.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273261552 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((550\/20)\/(-5))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283186275 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6 + (-23)\/2. Let s = l + 14. What is the first derivative of 24 - 26 - 2*i**3 + 0*i**s wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*126167\nAnswer: -50466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159756?\nAnswer: 2, 3, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -567? (a) 0.6 (b) -1\/3 (c) -0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -546\/11, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 364 in 2\/1435, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 8) + 23 + 1 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 103*g + 772. Determine b(110).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/120 + b**5\/30 + 5*b**4\/24 + 2*b**2. Let h be 4\/(-22) + 13 + (-97)\/11. Calculate l(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5316 and 30?\nAnswer: 26580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120.1 - -19.1. Let f = h + 112. Let j be -1 + ((-4)\/(-6))\/2. Sort f, j, 5.\nAnswer: j, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18149794451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*6.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 15) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 15) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -m + 61, 3 = -5*x + 4*x - 4*m. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 1. Let x = 246 - 240. Let i(k) = -7*k + 2. What is x*i(g) - 15*w(g)?\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.347 - 145.653. Let o = p + 152. What is the third biggest value in -2, o, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066 at least as big as 14463\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67104 is divided by 2396?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*w - 8*w. Solve w = 7*n + 15 - 43 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852*x + 324 = -854*x. Let w = 485\/3 + x. Let q = -8064\/11 + 734. Which is the second biggest value? (a) w (b) q (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2115 divided by -47\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Suppose o*y = -0*y - 2*g, -y + 4*g = -22. Suppose -2*p = -2*c - 88, -3*c = p + y*c - 56. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -67. Let p = -267 - -277. Calculate the remainder when z is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6*2)*(-60)\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2675 from 10.\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 18. Suppose 4*p = 5*q + 13, 5*q - 2*q = 3*p - 9. Suppose -p*u + 2 = -10. Calculate the remainder when b is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 - k + 8. Let l = -9 + 17. Let y be b(l). Which is greater: -1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/20 - k**3\/3 + k**2. Let b(p) = p**2 + 1. Let m(r) = -17*r**2 + 8*r + 8. Let h be m(1). Determine h*x(s) - 4*b(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/3)*a*a**(2\/17))**(-21)*((a\/(a\/(a*a**1)))\/a*a)**28*(a*a**(-4)\/a)\/a*a\/(a*a**4) assuming a is positive.\nAnswer: a**(1947\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1 - 424*g + 138*g + 6*g**2 + 138*g + 149*g. Let i be ((-2)\/(-4))\/(1\/(-6)). What is the tens digit of w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.933 + 0.067. Which is the nearest to -2\/3? (a) -2 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24619890809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/3))**33 assuming m is positive.\nAnswer: m**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11424 and 32.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 32. Let h(i) be the second derivative of -i**5\/20 - i**4 - i**3\/2 + 5*i**2 - i. List the prime factors of h(w).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*f + 25634 - 856, -5*x = 4*f - 61899. What are the prime factors of x?\nAnswer: 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/4 or -45.1?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and -0.0447.\nAnswer: 0.011622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 - 26418*d**4 + 9*d**2 - 13937 wrt d?\nAnswer: -120*d**3 - 634032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1746 (b) 1 (c) 0.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/8*-2)\/(777513\/531796). Let d = r + -1\/23561. Find the common denominator of d and 43\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.017 (b) -96 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n**2 - 313*n + 313*n + 5622 - 5622.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 12, -2, -32, -84, -164, -278, -432?\n\"Answer: -z**3 + z**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 138*k + 17816. Determine s(-130).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + t**2 - 2*t**2 + 0*t**2 - t**2 + 2*t**2 + (1 - t - 1)*(-2*t + 3 - 3) + (-23*t**2 + 12*t**2 - 9*t**2)*(3 - 2 + 0) - 3*t**2 + 4*t - 4*t.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 25. Let i(p) be the first derivative of -3\/4*p**4 + 3 + 0*p**3 + h*p + 0*p**2 - 3\/5*p**5. Factor i(f).\nAnswer: -3*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfttftt. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 78 - 71 - 7 + 13*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 32 = 8*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13393 + -13272. Calculate the highest common divisor of x and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j**2 - 5*j - 6. Let g(t) = 14*t**2 - 4*t - 7. Let f(l) = -5*g(l) + 4*y(l). Find the first derivative of f(n) wrt n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16018*(-3)\/(-30) + 2 + 108\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)\/l)**(-2\/25) assuming l is positive.\nAnswer: l**(38\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 811, 1, 5 in increasing order.\nAnswer: 1, 5, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 51*3.29\nAnswer: 167.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-4\/11)*t*t\/t**(2\/45)*t*(t*t\/(t\/t**(-4))*t*t)**(-22) assuming t is positive.\nAnswer: t**(13163\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-6)*3\/(-2). Let u be (-1 - 2)*(a + -11). Which is smaller: -8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -40. Let z = -47 - g. What are the prime factors of (-249)\/2*z\/36?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 - -164. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - 0.03. Let j = 1.99 + z. Let i = -2.8 + 3. What is the closest to i in j, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7971040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 3*s**2 + 7*s + 6. Let w be q(-4). Let i = w + -75. Let g = 6 - 22. Which is greater: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.71 + 1.11. Let h = u - -16. Let m = 0.02 - 2.02. Which is the closest to 2\/3? (a) m (b) h (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 3. Let i be y(4). Suppose -d = 6*r - 8*r - 5, -10 = -r + 3*d. Let t = -5 - -6. Which is the closest to i? (a) 0.2 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + k - 3*k + 961704. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-1 - sqrt(176) - (sqrt(550)\/sqrt(2))**2.\nAnswer: -275 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 357744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 21*c**2 + 24*c + 447. Determine o(-21).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 6. Suppose -4 = 3*x + 2. What is the remainder when l(5) is divided by (-30)\/60 - 23\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 42. Let p(r) be the third derivative of -r**5\/15 + 240*r**2. What is k(p(n))?\nAnswer: -8*n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2 + 10*g**2 + 4*g**2 - 11*g**2. Let u(s) = 2*s. What is l(u(x))?\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*g + 14799996, 4*g = -7*m + 3*m - 14800008. What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 717 + -325. Calculate the highest common divisor of k and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 - 6*p - 6. Let b(c) = 9*c**2 - 9*c - 9. Suppose 5*x = 3*r - 25, 4*x + 18 = -2*r - 2. Let l(j) = x*b(j) + 8*t(j). Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-36) + (-34)\/(-72). Let d(k) be the first derivative of -2 - 1\/6*k**3 + 1\/8*k**2 + f*k. Let d(i) = 0. What is i?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 9. Let s(t) = 3*t + 17. Let w(q) = 7*l(q) + 4*s(q). Give w(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/350*(-7)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -83, -107, -131, -155, -179?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/4 of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 28*n + 944. Give h(-13).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 10a40113?\nAnswer: 10a40130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3, 0 = -20*y + 23*y - 2*r + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 minutes before 9:53 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 3*u + 6, 2*u = -k + 3. Let j = k - 1. Solve 5*s + j*g + 0*g + 25 = 0, 0 = 5*s + 5*g + 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3775266*y**3 - 7550636*y**3 - 6 + 3775329*y**3.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 + 0 = 0. Let m(n) = 1 + 1 - n - t. Let v(i) = 3*i + 6. Suppose 20 = -4*f + 4*s, -2*s - 8 = 2*s. Determine f*m(l) - 2*v(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 15*x**2 - 2 - 26*x**2 - 2 as z*x**2 + u*x + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203705030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11178 and 1944.\nAnswer: 44712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928939 by -3.\nAnswer: 928939\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -d - 93 - 22, 2*d = -10. Is -21 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019927 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1216 + -1224 - (-1 + -10 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 5. Let k(n) = -n - 28 - 28 - 14 + 94 - 22. Give 7*k(t) + 2*v(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(30*34\/(-4420))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6013, 12173, 18495, 24985, 31649, 38493?\n\"Answer: x**3 + 75*x**2 + 5928*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 3*w**4 + 3*w**4 + (71*w + 138*w - 46*w)*(53*w**2 - 17*w**3 - 53*w**2) as b*w**2 + l*w**3 + m*w + i*w**4 + h and give i.\nAnswer: -2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 113760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsds when four letters picked without replacement from ddddssssssdd?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5)*14\/(-63)*-15. Let -31*j**s + 12*j**2 - 42*j + 39 + 6*j + 16*j**2 = 0. What is j?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 4*d**3 - 4*d**3 + 20*d**4 - 1 + d**2 - 17*d**4 as y*d**2 + s*d + w*d**4 + i + q*d**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/213 + -3661\/4260. Let n = -248973\/20 - -12446. Calculate the common denominator of v and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 + 6*l + 7. Let r(g) = 2*g**2 - 2*g - 2. Suppose 25 = -4*j - 3. What is j*r(n) - 2*a(n)?\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/380 and 55\/304.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 15 in ascending order.\nAnswer: 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -1) - (188 - 182).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + -190?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.576538 litres?\nAnswer: 4576.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/5)*y*y)**(10\/11)\/(y**(1\/3))**(-13))**(-31))**(-3) assuming y is positive.\nAnswer: y**(5921\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -18*j + 473. What is r(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 6. Let g(j) be the second derivative of j**2\/2 - 32*j. Calculate -4*g(q) - t(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0177 + 0.0823. Let q = -17.5 + 17. What is the smallest value in 2, q, -12, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 69 + 246*z - z**2 + 0*z**2 - 254*z. Let v be t(-13). Factor -15*d**3 - 2*d**v + d**4 - 8*d**4 + 3*d**4 - 6*d**2.\nAnswer: -3*d**2*(d + 2)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 0*l)*((-1 + 3 - 3)*(l + 6*l - 5*l) + (-2*l + l - 4*l)*(-3 - 2 + 6)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 1104*i**3 - 81396*i**2 + 707560*i.\nAnswer: -4*i*(i - 133)**2*(i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -905, 3511, 15503, 38863, 77383, 134855, 215071, 321823?\n\"Answer: 632*p**3 - 4*p**2 + 4*p - 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 248000251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (250*20)\/(6\/(-39360)). What is p rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*o + 2 - 4, -2 = -o. Suppose 4*p - 6 = r. Suppose 0 = -s - 5*q + 12, -3*q + p*q = 2. What is the least common multiple of s and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*r + 66 = 79, 0 = -4*m + 2*r - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1853 - 1849. Solve d - p = p - b, -2*d + 28 = 5*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*c - 117 = 0, -9*s - 3*c = -20*s + 10*s + 109 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x. Suppose -j + 712 - 71 = x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -130. Put -0.3, -4\/5, a, -1 in descending order.\nAnswer: a, -0.3, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 48*c - 47*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (((-16986)\/(-54))\/19 + -2)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (39\/(-15) + 3)*115?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -939*g**2 + 956*g - 2. Calculate w(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7359 and 774312?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-3)\/((-36)\/20)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*31293073.\nAnswer: 125172292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3363, -6733, -10103, -13473?\n\"Answer: -3370*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45077008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 13) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11 = -4*r, -2*r = 37*y - 34*y - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1\/7 (c) -10 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -15.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 31*m - 17*m - 103*m.\nAnswer: -89*m + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17928.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g**3*i*s - g**3*i - 5*g**3*r + 5*g**2*i*r*s - 3*g**2*i + 2*g*i*r*s + 2*s wrt r?\nAnswer: -5*g**3 + 5*g**2*i*s + 2*g*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 318986*s - 2038. Let a be n(-17). What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {q: 4, m: 1, b: 1, e: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458318\/2691 + 360\/299. Let v = 170 + t. Determine x, given that -4\/9*x**3 + 8\/9*x + v - 2\/3*x**2 + 2\/9*x**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1583 - 852. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:07 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2198*o - 969*o - 1228*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(1392\/(-24))*((-16)\/(-22))\/2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*z + 1797*z = -32704 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*t + 15, 3*z = 5*z + t - 15. What is the greatest common factor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -17299\nAnswer: -86495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let u be j(3). Suppose 2*o = 2*c + 24, -2*c = -2*o + u*o. Let v = 12 - o. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16))\/(60 + -61)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -65*w**2 + 54*w - 361. Let l be i(23). Round l to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 5*l**2 - 4*l - 5. Let u be s(-4). Sort 2, 0, u in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwawolo. Give prob of picking 1 w and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-34)\/(-10) + (-348)\/20. Let q be (63\/p)\/((-2)\/4). Let t(c) = c**3 - 8*c**2 + 6*c + 4. Calculate t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y**3 + 13*y**2 - 3*y - 3. Let z(o) = -o**3 + o**2 - o - 1. Let f(i) = -v(i) + 3*z(i). Find the third derivative of f(q) wrt q.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - 4*f + (7 - 23 + 43)*(4*f - 2*f - f))*(11 - 11 - 3*f**2).\nAnswer: -78*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/5 + 1302*m\/5 - 260 = 0. Calculate m.\nAnswer: 1, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 22. Put z, -2, -3 in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**3 + 9*l**2 + 8*l + 9. Let n(z) = z**3 - z**2 - z - 1. Let i(o) = 18*n(o) + 2*v(o). What is the second derivative of i(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -140254b - -3?\nAnswer: -1402548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 2.1. Which is the fourth smallest value? (a) -4 (b) 5 (c) 2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 116 + -37763?\nAnswer: -37647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 30004?\nAnswer: 120016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5597, -80, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-767.\nAnswer: -306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.975859 litres?\nAnswer: 5975.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -87, 1, 3, -1 in decreasing order.\nAnswer: 3, 1, -1, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (15 + -6))*2\/(-4). Calculate the greatest common factor of r and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8976 and 1088.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -4, 64\/3, 4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b + 2 + 0 + 2*b - 16*b. Let j(y) = -y - 3. Calculate 6*d(u) + 5*j(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p. Let d(b) be the second derivative of 3*b**5\/10 + 7*b**2 - 2*b - 4. Let a(n) be the first derivative of d(n). What is i(a(h))?\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or 246866?\nAnswer: 246866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*c + 2*c. Suppose -3 = -o, -2*o = 2*f - 7*o + 3. What is the greatest common factor of c and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32520)\/(-200)*80\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -12, -407*t - 4 = -403*t - 2*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11 + 2*a + 4 - 6*a. Let d(x) be the first derivative of x**2 + 4*x - 16. Give -5*d(j) - 3*m(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -34*w - 142. Calculate o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -71*h**2. Let f(s) = 8*s + 9*s + 2*s + 1 - 21*s + 12*s. Give f(r(l)).\nAnswer: -710*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7737?\nAnswer: 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4341 - 3?\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4153 - -141?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 1\/3*k**4 - 1\/60*k**5 + 0*k + 0 - 4\/3*k**3 - 5*k**2. Let z be v(7). Sort -2, z, 5 in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0337 and -1616.\nAnswer: -1615.9663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722303?\nAnswer: 29, 24907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/26)\/(1 + (-54)\/9). Are 0 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 2. Let t be z(0). Let m be 36\/8 + t\/(-4). Suppose -70 = 2*i - m*i. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**(-1\/4)\/a)\/a)\/a))**(-25)\/(a**0\/a)**45 assuming a is positive.\nAnswer: a**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 3. What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**15\/k*k\/(k\/k**15)*k assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:49 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 2. Let w(m) = -m**2 + 3*m + 14. Let y be w(6). Let n(r) = 3*r**2 + 5*r + 5. What is y*n(f) + 10*i(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 11*b - 20*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 + 13*l**2 + 11 + 36 + 77*l**2 wrt l.\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from {i: 2, k: 2, y: 8}?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, w: 9}. What is prob of picking 2 j?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -20*c**2 + 0*c + 0 - 1\/6*c**4 + 13\/6*c**3. What is the remainder when p(-9) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1087.\nAnswer: -3\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - -7) + 12 + -21\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 15*w - 30. What is v(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1659273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5210000 is divided by 1736665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -225*m - 46. What is the remainder when w(-1) is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) -0.03518 (c) 9660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15260*b**2 - 91573*b - 75. What is u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 131625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97499398 is divided by 1001?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 858*h - 858*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42103153, 42103151, 42103149, 42103147, 42103145?\nAnswer: 42103143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + 224\/(-35) + 7. What is the smallest value in u, 1\/2, 19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*q**4 - 899*q**3 + 13*q**2 + 290038*q.\nAnswer: -1152*q**2 - 5394*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65144, -65027, -64838, -64583, -64268, -63899?\nAnswer: -63482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 - 6*u**3 + 6*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156028710*d**3 - 101141778*d**2.\nAnswer: 936172260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13135 times -0.3?\nAnswer: -0.339405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1760, -2671, -3678, -4829, -6172, -7755?\n\"Answer: -8*j**3 - 855*j - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -52.9?\nAnswer: -52.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 548396*f + 75184543204.\nAnswer: (f - 274198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -17*c**2 + 287*c - 6. Calculate v(-4).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14392.6 to the nearest 10.\nAnswer: -14390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y - 71*y - 84 = 0. Find the common denominator of (-138)\/y + 10\/35 and -52\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3306 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 2976 = -55*f. Calculate the greatest common factor of 48 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68958.\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/565 and 89\/678.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + 7*s**4\/12 - 7*s**3\/3 + 8*s**2. Let n be h(12). Solve 5 = -5*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b**4\/5 + 36*b**3\/5 - 117*b**2\/5 - 96*b\/5 + 36\/5 = 0.\nAnswer: -3, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16929 and 13?\nAnswer: 220077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4229 = 4*s + 5*i - 3953, -6135 = -3*s - 3*i. List the prime factors of s.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-300)\/(-180))\/((-75)\/(-6))*-63.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 48. What is the smallest common multiple of x and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*t + 436*t - 502*t + 950*t + 176*t.\nAnswer: 1647*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3 - 8*w + 2 - w**2 - 4. Let m be y(-7). Factor 2*c**4 - 2*c**m + 1 - 2*c**3 + 2*c**5 - 1.\nAnswer: 2*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3196529 at least -3196528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35, 33, 19, -13, -69, -155, -277?\n\"Answer: -m**3 + 5*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 1. Let s be f(-3). Let v = 8 + s. Suppose -14 = -2*n + 4*k, -4*k + 78 = 4*n - 2*k. Solve 5*d = 5*i + v, -2*i = i + 5*d + n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = -3*l - 4*t, t + 28 = 4*l. Let i(d) = d - 7. Let m be i(11). Suppose 0 = m*s - 50 + l. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:42 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 136\/444287 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*l + 5*f, -4*l - 6*f + 16 = -2*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 3*w - 1. Let k(x) = x**2 - 3*x. Let o(a) = 3*j(a) + 4*k(a). Let d = -6 + 3. List the prime factors of o(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706.691673 rounded to 0 decimal places?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352749879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oldooddotwttot. What is prob of sequence toow?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*v - 12 = 393. Which is the nearest to 13.95? (a) -0.1 (b) 0.3 (c) v (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 104*l**2 - 204*l**2 + 96*l**2.\nAnswer: -4*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 r when four letters picked without replacement from jrjrrjjrjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 205066 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2. Let i(h) = -5*h**2 - 3*h. Calculate u(i(a)).\nAnswer: -100*a**4 - 120*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4245 at most as big as 349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Suppose -5*x + 283 = -2*s - 0*s, 5*x - 288 = -b*s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**3 + 6*m**2 - 7*m + 25. Let f = -384 - -395. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-428*m + 442*m - 3 + 2) as y*m + b and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1548385955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -733*p**2 - 8301 + 16372 - 8295 + 3*p**4 - 916*p - 56*p**3 - 18*p**2 = 0.\nAnswer: -8, -1, -1\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 379765\nAnswer: -170894.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/7560 - q**6\/720 + 37*q**4\/24 - 26*q**2. Let d(m) be the second derivative of g(m). Determine s, given that d(s) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, w: 2, q: 1, d: 1}. What is prob of sequence mwwq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 5*o - 26. Let m be k(9). Let s(a) = a**3 + 11*a - 7*a + m*a**2 + 3*a + 0*a + 8. What is the units digit of s(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:03 AM?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 6\/55 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 3*n**3 - 2*n**3 + (0*n - 1 + 2*n + 3)*(6*n**2 - 8*n**2 + 0*n**2) to the form c*n + o + u*n**3 + m*n**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*z + 318, -4*z - 642 = -3*h + h. Suppose -3*o - j = -h, j = -o + 3*j + 103. Suppose -o = 3*k + 340. Round k to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 - 3*r + 3. Let m be q(3). Suppose m*s = 4*s. Solve -5*b + 5 + 5 = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 4*l**2 - 7*l - 5. Let q be i(-5). Suppose 0*j - q*j + 40 = 0. What is the common denominator of 44 and 2\/3*(-4)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*v + 4*x - 5825, -14600 = -5*v - 5*x. Let j = v + -1751. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let r(z) = 13*z**2 + 82024*z + 1. Determine r(j(l)).\nAnswer: 13*l**4 + 82024*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16652 - 39*z - 5551 - 5549 - 5552.\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 44*r + 10. Let l(x) = 75*x + 11. Give -2*l(q) + 3*y(q).\nAnswer: -18*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 0)\/(9\/63) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 164, 350, 620?\n\"Answer: 42*h**2 - 24*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -107\/2. Find the common denominator of (-2655)\/(-60)*4\/(-30) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6174762 - 6174880.69996. Let h = l - -118.6. Let k = 0.1 + h. What is k rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1017 + 1721. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**2\/2 + 10*f - 28. Calculate a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 122574 - 3946. Let v = -7998 + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-2)\/((-6)\/(-45)). Suppose -5*u + 5 = -t. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/108 and 45\/15112.\nAnswer: 408024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = 3*a. Let l(r) = r**3 - 5*r**2 - 17*r + 63. Let h be l(6). Is h bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.90706 to two dps.\nAnswer: 117.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.39? (a) -5\/4 (b) 0 (c) 1\/4 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -64. Let g = i + -43. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 578, 590, 602, 614, 626?\n\"Answer: 12*t + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40670172 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxl when four letters picked without replacement from lxxxxxxxxxxxlxxxxxx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s**(2\/7)*s)*s)**(2\/77))**(1\/7))**25)**(1\/13) assuming s is positive.\nAnswer: s**(250\/49049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*o - 3*d - 41, -44 = -2*o - 4*d. Solve -o + 18 = -6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -48*u**3 - u**2 + u + 1. Let b be g(-1). Suppose -18 - b = -5*y. Let f = 26 - y. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524.066 + -2504.\nAnswer: -1979.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*633\nAnswer: 126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/600 and -13\/40080?\nAnswer: 200400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*h = -99*h - 113160. What are the prime factors of h?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30057\/(-6) - (0 + (-1)\/(-2)). Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2167, -3, -0.589.\nAnswer: -3, -0.589, 2\/2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p - 3*p. Suppose 6*j - 5*j = p. Which is the closest to 0.1? (a) j (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - r - 1. Let y(m) = m**3 - 2*m**2 + 3*m - 1. Let s be y(2). Let v = 494 - 490. Suppose k - v = -s. What is t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 + 4*g + 2387 - 11*g + 8*g.\nAnswer: g + 2717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22837\/4 + -5709. Let q be (-7)\/4 + (-2)\/(-8). Sort q, 0.3, s, -0.3 in decreasing order.\nAnswer: 0.3, s, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*l - 124 + 74, -l - 77*q = 391 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -q, 8*s - 2*q + 49 = 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8006, -14791, -21576, -28361?\nAnswer: -35146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/3 + 5*d**3\/6 + 5*d**2\/2 + 10*d. Let h(m) = -6 - 2*m + 5*m**2 - 4*m + 0*m. What is 6*c(t) + 5*h(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 952854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -2\/7, -2\/41, -9, -10?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.5 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/31, 5, -3, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25531747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -19?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129477.\nAnswer: 7, 304211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/8))\/f)\/(f*f**(-4)) assuming f is positive.\nAnswer: f**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*u = -518*u + 119987. Suppose 4*v = 3*w + u, -4*w - 13036 = -5*v + 8391. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -742220 and 581.71.\nAnswer: -741638.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.01 - -0.39. Let m = -0.6 - t. Let h = 4.00000016 + m. Round h to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395157127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 6*s - 2. Let n be q(5). Let v = n - 2. Is v + 7\/(21\/54) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3858*n - 3857*n - 21, -4*n - 2*l = -144. Sort 1, 0, 4, n in decreasing order.\nAnswer: n, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 190*b.\nAnswer: -190*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x - 16. What are the prime factors of (-1 + -22)\/(x\/8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112cc (base 13) to base 12\nAnswer: 16114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 963149483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:50 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146925024 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t - 2. Let y(q) = -2*q**2 - 7*q + 5. Let c(a) = 14*r(a) + 6*y(a). What is the tens digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -301 or -302?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3 - 9. Let g be 3*d\/30*(-11 - -1). Suppose 0 = u - 4*y - 77 - 87, 0 = -g*y - 16. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-19 - (-2 - 14) - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7842462 at least -7842461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104914239.\nAnswer: 3, 34971413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 9. Let k be x(-7). Let d be 0 - k\/((-5)\/2). Solve 2*r + 8 = -d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-3))\/((-2)\/9). Let q(g) = 10*g - 7. Let k(c) = 11*c - 9. Let h(d) = -5*d + 4. Let l(v) = 5*h(v) + 2*k(v). What is u*l(y) - 6*q(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/4 - 5*u**3 - 18*u**2 + 2*u - 100. Let i be j(-12). Sort i, 3, 0 in decreasing order.\nAnswer: 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s**2 + 2*s. Let t = -5 - -10. Suppose h = -c, 2*h - t*c = -2*h + 18. Let a be i(h). Calculate the highest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4324000 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*-3*2\/12. Suppose q*a + 4 = 4*a. Let k = a - 1. Let s(m) = 5*m**3 - m**2 + m. Determine s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1958879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - s. Let b(q) = -q**2. Let p(a) = -4*b(a) - f(a). Let z be p(-3). Let c = z - -58. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:00 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -3*k. Let z be (0\/(-2 - -1))\/2. Suppose 5*w - 66 + 16 = z. What is the lowest common multiple of w and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1414*s - 7. Let b(a) = -1446*a + 7. Calculate 7*b(g) + 8*m(g).\nAnswer: 1190*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 6 - 6 + 8215143289*l - 8215143289*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from {j: 8, y: 2, a: 5}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 4*y = -8*x - 11, -2*x + 13 = -5*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*77.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(21)\/sqrt(3)))**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1\/(-1) - -2). Let z(d) = 43*d. Let i be z(a). Suppose 5*k + 3 = i. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z - 25*z + 14*z + 2 + 4. Let f be 5\/(-10)*7*2. What is g(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 25. Is (-1)\/(-5) + 1170\/o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*c**3*d**4 - 240*c**3 wrt d.\nAnswer: -908*c**3*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.0288, 2\/7?\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.5 and -0.1.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 + 7*c**3\/3 - 7*c**2\/2 + 7*c + 10. Let j(b) = b**3 - 5*b**2 + 5*b - 5. Determine -5*g(p) - 7*j(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47 + 5)\/(-7)*(-2)\/(-4). Suppose t + 5*f - 231 = 0, j*t + 315 = -3*f + 1056. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*9*-4. Calculate the greatest common factor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 885 and 8?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10508 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672737*d**2 + 2018222*d**2 - 672742*d**2 + 3*d**3 - 672743*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.52, 1\/5, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -47*f**2 + 13*f + 4. Let l(k) = 66*k**2 - 19*k - 6. Let q(t) = 7*b(t) + 5*l(t). Let i = 18 + -16. Suppose i*s - 3*s = -3. Give q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(200) + sqrt(200) + 3 + sqrt(72) + -1 + (sqrt(2) - (sqrt(2) + -1)*-4))*-4)**2.\nAnswer: -1984*sqrt(2) + 30813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -690, -2982, -6820, -12204, -19134?\n\"Answer: -773*s**2 + 27*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.16 + 0.16. Let h be (0 - 0) + (-22)\/8. Let r = 3 + h. What is the biggest value in 3, l, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.3 - -5.3. Is h greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8228 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.04554536 rounded to 2 decimal places?\nAnswer: 44.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(3\/31))**(-1\/20)*(i\/(i**(1\/3)*i)*i)\/i*i*i*i**(-4)*i*(i\/i**(-1))**(7\/5) assuming i is positive.\nAnswer: i**(2719\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 12*y + 4. Suppose -4*t + 7 = -y. Suppose -13*a + 1254 = -t*a. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 68 = -a. Calculate the remainder when 32 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1556\/9*t**2 - 776\/3 + 364\/9*t + 4\/9*t**4 + 404\/9*t**3 = 0.\nAnswer: -97, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -1\/2, 4, -0.2, -2\/1069973, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*w - 36 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2380, -4745, -7098, -9433, -11744, -14025, -16270?\n\"Answer: p**3 - 2372*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 7:39 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 4*w**3 - 11*w**3)*(-1 + 24*w**2 + 4*w - 18*w**2 - 8*w**2).\nAnswer: 12*w**5 - 24*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2698.366 nanograms to milligrams.\nAnswer: 0.002698366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 26 + 12. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Suppose -3*g = h + 18, -1266*h = -g - 1259*h + 104. Let i(s) be the first derivative of s**2\/2 - 1. Determine g*i(c) - 2*d(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000022222 (base 3) to base 8.\nAnswer: 115270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 16*l - 140. Let r(a) = -a**2 - 71*a + 832. Let o be r(-81). Give u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {t: 2, h: 1, m: 7, k: 4, q: 1, p: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 322. Let p = h - -264. What is the biggest value in p, -2.5, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52632812 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.035502726 - 0.0355. What is u rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 = j, 6*s = 2*s. Calculate the lowest common multiple of 7 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -427 + 514. Calculate the remainder when 334 is divided by b.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h**2 + 0*h**2. Let t(p) = -4*p - 3. Let r(a) = a + 8 - 9 + 2. Let o(j) = 3*r(j) + t(j). What is f(o(b))?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17141 - 7942. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwqqwqqwqqqqqwfuq. What is prob of picking 1 u and 1 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 74 + -3cb?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8232 = -2416. Is i\/(-55) + -11 + (-4)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 + -0.12. Round f to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14088 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5307673 and 96145?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26096799 - 469600673\/18. Let s = o - 7875. Calculate the common denominator of 69\/14 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*w = -114, -3*x - x - 5*w = -155. Let a = x - 28. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = t. Let s**5 + 0*s**5 + t*s**2 - s**4 - 8*s + s**2 + 10*s - 3*s**3 = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225744551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40257 divided by -40257.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/12 + 2*t**2. Let h be (-8)\/12 - (-632)\/12. Let b(o) = 1 + 54*o**2 - 1 - h*o**2. What is b(p(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130666764 to the power of 1\/2, to the nearest integer?\nAnswer: 11431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000101100 (base 2) to base 3.\nAnswer: 2011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(340)*-2)\/(2*sqrt(10)*-3 + sqrt(10)))\/(((sqrt(10) - (sqrt(240)\/sqrt(4))\/sqrt(6)) + sqrt(10))\/(1*sqrt(5)*-6 - sqrt(5))))**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w*w)\/w)**(-3\/16)*w**(-3\/8)*w*(w*w*(w**(-10)\/w)\/w*w*w)\/w assuming w is positive.\nAnswer: w**(-137\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 131671, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178*x + 14*x**3 + 1178*x.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 30*w + 156. What is g(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 46\/(-12). Let f = 11\/3 + v. Let i = 0.217406 + -0.217406. Which is the closest to -1? (a) -0.02 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-10)\/260). Let m = 17 - h. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11213727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -42. Suppose -1754 = -s*m + 4387. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w - 6. Let q be g(-3). Sort 1, 5, q.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1454, 1344, 1148, 854, 450, -76, -736?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-56) - -4*(-6)\/(-32))*1 + 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.89 and -36479436.\nAnswer: -36479436.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 - 3*b**2 + 3. Calculate a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46062 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.7 - 48. Is h greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a3 (base 12) to base 5.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 15*l - 88. Calculate the remainder when 3755 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - -10. Let j be 162\/n*(-5)\/(-2). Solve -5*d - j = 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 + (-5)\/((-15)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144888.\nAnswer: 2, 143111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43815?\nAnswer: 3, 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(1\/5)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 136, 181, 244?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -c429 (base 16) to base 9\nAnswer: -75786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10012323131 (base 4) to base 12\nAnswer: 43b2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -24. Does 13 divide -14*(-5 - y\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -704 + -5?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -96*h - 1. Does 25 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 10*p - 140 - 154 - 3*p.\nAnswer: 7*p - 383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 666 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2\/7 + 208464*h\/7 + 625446\/7.\nAnswer: -6*(h - 34747)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from {e: 3, y: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 26*s**5 + 44*s**4 - 198*s**3 - 464*s**2 - 152*s + 96 = 0.\nAnswer: -2, -1, 4\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 3) to base 16.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-108)\/(-8)))\/(14\/357)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(-1) + 4\/(-6). Let b(h) = -5*h + 3. What are the prime factors of b(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {f: 1, g: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - n + 3 - n - n + 0*n + (1 + 0 - 2)*(n + 2 - 2))*(3*n + 2*n - 7*n)*(-2 - 2 + 2).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = m - 52532, -6*o = -216*m + 212*m + 210076. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/144 and 13\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56, -238, -540, -962?\n\"Answer: -60*c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -370, -761, -1\/14, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442\/13*-2*(-12)\/48.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37068 and 37068.\nAnswer: 37068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -8, -10, -8, -2, 8?\n\"Answer: 2*g**2 - 12*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-994916)\/84588 + 56\/6?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Suppose p + 3*r = 11, r - 4 = -m*p + 9. Suppose -p*h + 36 = h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*w - 4414990 - 412070 = 0. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 8*l + 27. Suppose 3*i + 2*i = 20. Let v(c) = -11*c**2 - 23*c + 82. Let f(s) = i*v(s) - 14*q(s). Factor f(w).\nAnswer: -2*(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o - 5. Let i be f(-6). What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17457 divided by 3.\nAnswer: 5819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4325 + 5100. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 7*p - 53 = 6*r, 2*p = -r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -114?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 7*v**6\/360 + v**5\/120 - 28*v**3\/3 - 2*v - 16. Let k(o) be the third derivative of c(o). Does 8 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 242 = -19*a. Calculate the common denominator of 4\/2*57\/(-126) and 3\/(-8)*(7 - (-266)\/a).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 16\/3 - (-2280004)\/(-6). What is h rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + p**3 + 16 - p - 4*p**3 + 0*p**3 + 11*p**2. Let a be w(11). Suppose a*k + 0 - 5 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10001101001001001011?\nAnswer: 10001101001001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + y - 16 = -y, 0 = 5*w + 5*y - 35. Let s(i) = -i**2 - 4*i + 2. Let m be s(-3). Let x(b) = b**2 + m*b - 2*b**2 - 2 - 2*b + b**3. What is x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111928\/13 - 8610. Which is the second biggest value? (a) -28\/9 (b) 0 (c) t (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 24*g - 30. Give w(13).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -148*l - 1. Let k(p) = 7*p. Determine a(k(u)).\nAnswer: -1036*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvaaaa. What is prob of sequence aa?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/((4\/2)\/(-1)). Suppose 4*z = -2*u + 28, q*u - 2*z = z + 31. Calculate the smallest common multiple of 18 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4789342 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19.02104 centuries?\nAnswer: 190.2104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = 10. Suppose 4*c = x - c - 58, -m*x = 5*c - 132. Suppose -k = -3*k + x. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 - 7*a + 5. Let h be u(6). What is the units digit of h\/(2\/(-28)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 2096*s + s**3 + 143 - 132 + 5*s**2.\nAnswer: -s**3 + 5*s**2 + 2096*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2261.\nAnswer: -678.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -7, 3\/2, 5, 0.22, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/18 - (-4)\/(-6). Suppose -4*a = s*a - 468. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -7*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-127)\/(-2). Let t = s + 43. Which is bigger: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 17*h**2 - 12 + 6 - 4 + 26.\nAnswer: -17*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/60 - t**4\/6 - t**3\/6 + t**2. Let b be h(5). Solve -b*i = -5*l + 21, -3 = -4*i - 3*l + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/1560*10)\/((-9)\/24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y + 24 = 0. Let b(k) = k**2 + 29*k - 176. Let g be b(-34). Is g at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*h**2 - 20*h**2 - 6 + 45*h**2 wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/12*(-2)\/(-1 + 2). Suppose -5*d + v = -18. Sort 3, -3, d in decreasing order.\nAnswer: d, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*0.083.\nAnswer: 0.00747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(104))\/(sqrt(128) + sqrt(128)*-1 + sqrt(128)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 13. Let r = -7 - -3. Let s = r + h. Let n(c) = -c**2 + 4*c. Calculate n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5208 = -40*g + 4888 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282633 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-21)\/105)*180\/(-75)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -9)\/(-2 + -4 + 9). Suppose 11*i - 14*i + 39966 = f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -4, 53, 1 in decreasing order.\nAnswer: 53, 47, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 226108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5459 divided by 300?\nAnswer: -5459\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4)\/g**(-20))**(-1) assuming g is positive.\nAnswer: g**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*o - 1487, -1177 = -7*t + 3*t - o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1202 + 1241. Solve -8*s = r*s + 235 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 21*o - 545 = -7*b, -2*o + b = -237. Calculate the greatest common factor of o and 2697.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 939*w**3 + 942*w**2.\nAnswer: -3*w**2*(w - 1)*(w + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(4\/(-18)). Suppose -3*x = -2*v - v + 45, 2*x + 42 = p*v. Suppose v = u - 2*i - 3, 0 = -5*u - 4*i + 33. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946684900?\nAnswer: 2, 5, 7, 193201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75619914 to the nearest integer?\nAnswer: 8696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1503841, 1503814, 1503787, 1503760, 1503733, 1503706?\nAnswer: 1503679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2, -2\/11, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(1\/(-15)). Suppose 3*t - w*s + 9 = 0, 4*t = t + 2*s. Let l = 3 + t. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317353\/60 + 10581\/2. Find the common denominator of o and -47\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 14735?\nAnswer: 147350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3892728 divided by 4089.\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 217901 + 38382 = 104379. Does 64 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dww when three letters picked without replacement from ywyokydwyywydy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 2)\/(-3 + 2). Let s(w) = -w**3 - 5*w**2 - w. Let z be s(i). Suppose -4*a - 12 = z*h, -3*a - 9 = -2*h + h. Solve -5*t + 9 - 29 = h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 710 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a + 1. Let r(n) = 5*n**3 + 3*n**2 - 7*n + 7. Calculate 14*g(w) - 2*r(w).\nAnswer: 4*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*p + 24 = 0, -4*g + 29 = -5*p - 24. Let h(i) = -2*i**2 + 2*i - g*i + 5*i. Let u(y) = 8*y**2 - y**2 - 6*y**2. Give h(u(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56\/23 + -709\/115. Let t = -4907\/570 - q. Which is the fourth smallest value? (a) -0.3 (b) t (c) 0 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(720)*3 + ((sqrt(720) + 1*sqrt(720))**2 - sqrt(720))*-3 + (-6*2*(2 + sqrt(720) + (sqrt(720) - (sqrt(720) + 0 + sqrt(720)))))**2.\nAnswer: -8064 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94\/3 - 32. Which is the third biggest value? (a) w (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233221002 + -3?\nAnswer: -233221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**14)))\/k**(-6\/17)*(k*k**(-2)\/k*k)\/k**34 assuming k is positive.\nAnswer: k**(-810\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61871, 123876, 185901, 247946, 310011?\nAnswer: 372096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143 - -145. What is q in 3\/2*q**5 - 5\/2*q**3 + 0 - 1\/2*q**4 + 1\/2*q**w + q = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199.059 + -352215.059. Let k = 351975.0082 + x. Let q = 41 + k. Round q to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = i - 2*q, -65 - 28 = -3*i - 2*q. What is the remainder when 60 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -59660151\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/21)\/(22\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -20 + -48 + -83 + (15 - 1).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400.9 < 0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 25539.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.079 - 0.179. Which is the closest to 0.2? (a) 1\/6 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -96) + 1842 + -1888.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 9090676?\nAnswer: 9090674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 + 13*v**5\/30 + 17*v**4\/24 + 3*v**3\/2 + v**2 + 2*v. Is j(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and (-7)\/((-210)\/(-96))*-25.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199.03 + -199.03. Put 77, 2, n in ascending order.\nAnswer: n, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (3 + sqrt(833) + 1 - sqrt(833)) - (-3 + (-1 + sqrt(833))*6 + sqrt(833))) + (-3 + sqrt(833) + -1 + -3)*-4*-5)**2.\nAnswer: -22386*sqrt(17) + 155906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -3.05. Let r = d + 2.88. Let z = r + 0. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + u + 1. Let c be t(2). Let x = -13.5 - -11.5. What is the second smallest value in c, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243156 and 414?\nAnswer: 729468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 310?\nAnswer: -9\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -92483847 greater than or equal to -92483856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -409, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.5 (c) -2 (d) 3 (e) 1 (f) 11768\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)\/r)\/r)**(1\/3)\/(r*r**(-6)*r**9)*r**(-6)*r**6*r**(-6)*r*r*r**(-5)*r*r assuming r is positive.\nAnswer: r**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -1256\nAnswer: 13\/1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/320)\/((-33)\/25))\/((-675)\/540)\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 4*t - 2*t**2 + 0 + 0 + 0.\nAnswer: -2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 6*g + 75 = -2*i, -25 = -g - i. Let t(n) = -10 - 25*n + 7 + 56*n - g*n. Determine t(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1390 + -1387. Let r(h) = 10*h**2 + 3*h - 3. Let t(y) = 30*y**2 + 8*y - 8. Give i*t(p) - 8*r(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c - 163\/2*c**2 + 0*c**4 + 55 + 0*c**3 + 53\/30*c**6 + 0*c**5. Differentiate j(z) wrt z.\nAnswer: 212*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 2*y**4 + 0*y**4)*(37*y - 16*y - 35*y).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 - 6*i + 5. Let p be g(6). Let k(f) = -2 - 4 + 1 - p*f + 4*f**2. Let b(m) = -m**2 + m + 1. Give 15*b(l) + 3*k(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*r**2\/7 + 1674*r\/7 + 2052\/7.\nAnswer: -6*(r - 57)*(5*r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*g**4\/23 + 146*g**3\/23 + 382*g**2\/23 + 374*g\/23 + 126\/23 = 0. Calculate g.\nAnswer: -9, -7\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Let d(g) = -3*g - 1. Let f be d(z). Let h(b) = b + 11. Let q be h(f). Calculate the greatest common divisor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 28*n**2 + n - 3. Suppose -81 - 159 = -16*a. Let g(p) = 56*p**2 - 7. Let u(o) = a*l(o) - 6*g(o). What is the second derivative of u(f) wrt f?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-13))\/(4\/(-611)*(-107)\/428).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1)**(1\/12)*d*(d**1*d)\/d*d*d\/d**(-2\/9))**(2\/35))**(7\/4) assuming d is positive.\nAnswer: d**(31\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h**3 - 34*h**3 - 11*h**3 - 16*h**3 - 13*h**3 - 14*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/30*j**6 - 10*j**2 + 0*j**4 + 0*j + 0*j**3 + 0 - 7\/60*j**5. Find the third derivative of i(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 488598?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 4*y - y)*(21 + 16*y - 21).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (8 + 29)) + 276 + -145.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/(-60) - 6\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 13*s**2 + 12*s + 5. Let u be p(-12). Suppose 2*g - u = 49. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 74. What is the common denominator of 24\/25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -710, -711, -712, -713, -714?\n\"Answer: -k - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2\/7 - 62662156*q\/7 + 62662160\/7 = 0?\nAnswer: -15665540, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3873563.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7146 times 17?\nAnswer: -318.1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:31 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1430\/88 - (-1)\/16*-4. Is d > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-5)*100\/1. Let i be (-12 - -2) + 7 - (-2 - -218). Let n = d - i. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/15*40\/(-12). Suppose a*m = -5*g, 0 = -3*g + 2*g. Solve n - 3*u + 6*u - 15 = m, 6 = -2*n + 3*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 - (-3 - (-2 + 1)). Suppose 2*u - 3*a = -25, 0 = -2*u + 2*a - a - o. Suppose 5*g + 49 = 4*f - 6, 4*g + 62 = 5*f. Sort u, f, -3 in descending order.\nAnswer: f, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1808\/5 + 360. What is the common denominator of 26\/7 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + h**3)*(h + h - 3*h) + 2*h**4 - 2*h**4 - 2*h**4 - 6*h**4 - 16*h**4 + 12*h**4 to the form y*h**2 + d*h**4 + p*h**3 + b + v*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1689 and -9?\nAnswer: -15201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 30*h. Let o(b) be the third derivative of b**5\/12 + 79*b**2. Give j(o(r)).\nAnswer: 150*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u + 3. Let d(a) = -67*a + 13. Let r(s) = -2*d(s) + 9*l(s). Suppose 0 = 2*t + 20 - 22. What is r(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 318, -27, -2\/31?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u - 24. Let y(v) = -v**2 - 8*v + 11. Let b be y(u). Calculate the highest common divisor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5467*i + 215 - 215.\nAnswer: -5467*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -30. Suppose -n - 5 = 0, -4*d + 45 - 95 = -2*n. Let s = i + d. Which is greater: s or -4\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = 15*j - 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 12*z + 9. Let c be q(12). Let y = c + -14. Let v = y - -20. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144902 divided by -367493?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-6)\/(-7 + 4) + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1896 + 2834. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z + z + 0*z to t*z + a and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 22*y + 14654 = 248. Which is smaller: 683 or y?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 14 = -14*t. Calculate the greatest common factor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*x - 16, 2*x - 13 + 1 = 5*y. Let k = 17 - 35\/2. Which is the closest to -0.2? (a) y (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69, 71, 63, 39, -7?\n\"Answer: -v**3 + v**2 + 6*v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3, 2979, -5?\nAnswer: 2979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 734.9.\nAnswer: -2204.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176375, 176152, 175781, 175262?\nAnswer: 174595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/((p*p**(-16))\/p))\/(p**(-1\/7))**(3\/20) assuming p is positive.\nAnswer: p**(6869\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x - 5. Let g(d) = 15*d - 16. Let q(l) = -2*g(l) + 7*i(l). Let w be q(2). Suppose -2*f = -w*f - 10. Is f >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - 3 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 - 4*g**2 + 5*g - 3. Let m(t) = 1 + 4*t - 27*t**3 + 2*t**2 + 24*t**3 - 6*t. Determine 5*m(f) + 2*s(f).\nAnswer: -3*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4051\/675 + 6. Let c = -2251\/675 - o. Find the common denominator of c and (-2)\/(-2) - (-21)\/(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -1888.\nAnswer: -3\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5411 - -5409. Put o, 5, 0, -1, 386 in decreasing order.\nAnswer: 386, 5, 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -10 - 1) + 0. Solve i = 6*i - y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let f(g) be the second derivative of g**6\/72 + 31*g**3\/6 - 34*g. Let s(l) be the second derivative of f(l). Give s(x(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19200 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 25*u**4 + 630*u**3 + 5409*u**2 + 18144*u + 20736 = 0?\nAnswer: -48\/5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 15) to base 3.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**7\/42 - b**6\/5 + 13*b**5\/20 - b**4 + 2*b**3\/3 - 11*b. Determine l so that v(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*v - 149*v - 137*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 13*a - 3. Let i be q(4). Let j = 39 + i. What is the closest to -0.1 in j, -0.5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 32*k**2 + 8*k - 486. Determine c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27932458 is divided by 12278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 63*j**2 + 1500*j + 96843. What is h(-62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 + 11*y**2 - 4*y - 4. Let f(v) = -7*v**3 - 12*v**2 + 5*v + 5. Give 4*f(p) + 5*r(p).\nAnswer: 2*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.078 (b) 1\/5 (c) 498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose -2*q = 3*q - g, 4*q + g = 0. Suppose 0*a + 541 = 5*b + a, y*b - a - 539 = q. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - 2. Let b = a + -39. Let n = b + 101. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = 170*t + 6204 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * 6.80576\nAnswer: 2.9945344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1733 + 2069. What is the highest common factor of a and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.720044 millennia in months?\nAnswer: 104640.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/22)\/6 - (-8 - (-5584)\/704).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 11 + z + z**3 + 6*z**2 + 5 + 2*z. Let b be c(-5). What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*z + 104, 7956 = -11*z + 5*g + 7572 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 836 = -6*m - 15*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1605895399017.\nAnswer: 1605895399012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 12. Let l(q) = -3*q + 4. Let h be l(-7). Suppose -23 - h = -12*d. What is the remainder when v is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3080 + 1505. Is w\/(-14) - (-3)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -38*q - 8. What is the nearest to q in 0, -1, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -28. Let t be ((-897)\/23 - -35)*1\/(-4)*5. Put -4, t, d in increasing order.\nAnswer: d, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {e: 2, p: 1, x: 3, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60051050 divided by 12010210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.15, 8, 6, 1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1535607 and 2619?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**5 + 4*w**4 - w**3 + 5*w. Let m(t) = 9*t**5 - 6*t + t**3 - t**3 - 3*t**4. Let r(i) = -6*d(i) - 5*m(i). Solve r(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.859 + -0.385. Let z = 0.024 + 2.176. Let i = z + f. What is i rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16 = -4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 0.034974?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1200201?\nAnswer: -1200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1820 and -1818 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -148*l - 205*l. Which is the smallest value? (a) l (b) -196 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 5 - r**2 - 1473*r + 1474*r in the form c + o*r + k*r**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 158, 225, 282?\n\"Answer: -5*u**2 + 92*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/30)\/(-1*2\/(-18)). Let j(o) be the third derivative of 1\/160*o**6 + 0*o + 0 + 6*o**2 - 1\/24*o**z + 1\/48*o**5 + 1\/96*o**4. Factor j(v).\nAnswer: (v + 1)**2*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8501 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2552900 + 546.652.\nAnswer: 2553446.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 2496 - 309 = 0. Suppose -5 = -2*a - 3, 0 = -n + 2*a + t. List the prime factors of n.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(4\/(-489)*357\/(-32606)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10244000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1 - (-5)\/(-7)). Let h = 2117 + -14822\/7. Which is the second smallest value? (a) o (b) h (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -2. Let b(g) = -6*g**2 - 7*g**3 - 336 + 336 + 0*g**2 + 0*g - g. Let q(f) = -f**3 - f**2. Calculate k*q(u) + b(u).\nAnswer: -u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 0. Let a be 0 - ((-1108)\/o - 1)*3. Suppose 2*t = -5*t + a. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988907729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60907735 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3207943?\nAnswer: 3207943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 384870809 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2614330271 from 0.033605.\nAnswer: 2614330271.033605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) - 16\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1248082, -1248101, -1248150, -1248241, -1248386, -1248597?\nAnswer: -1248886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyybbbybbw. What is prob of picking 1 w and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 9) to base 14.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7469278.31035 and 133?\nAnswer: 7469411.31035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 274*s**3 - 6586*s**2 - 16670*s + 116844 = 0. What is s?\nAnswer: -107, -26, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2*343\/(-35))\/(25\/(1325\/(-106)))\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 - 8*t - 19. Let a(b) = -10*b**2 + 15*b + 35. Calculate -6*a(d) - 11*l(d).\nAnswer: 5*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0. Let w be 3\/(-12) + 45\/4. Let j = w - 97\/9. Which is the nearest to j? (a) k (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.5976 + 0.7946. Let g = 2.1 + 1.7. Let c = g + k. Round c to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 4, v: 10, j: 4}. What is prob of sequence vpjz?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let b be u(-5). Let i(p) = -2*p - 4. Let s be i(b). Solve -s*c + 4 = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63928565803 from -1.\nAnswer: -63928565804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3 + 7*a**2 + 6*a - 9*a**2 - 6*a**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*p = 5*k - 8, 3 = 2*k - p. Let c = k - -1. Solve -4 - 5 = -c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -19. Let v(r) = -2*r. Let w be v(f). Suppose 18*c = 15*c + w. Let s(l) = l**2 - 5*l + 1. Determine s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -20. Is 40\/o*(-2 - 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-28))\/((-6707)\/2471).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 96 = -66 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 353650?\nAnswer: 353650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/(-665)*(-1 + (-17)\/4)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 84*w**2 - 536*w + 233. Let k be f(-77). Factor 0 - 2\/5*i**5 - 36\/5*i**3 - k*i + 32\/5*i**2 + 16\/5*i**4.\nAnswer: -2*i*(i - 5)*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (4\/(-22) - 90\/(-132))*3402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -7.2316\nAnswer: -21.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -87. Calculate the remainder when 101 is divided by y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4608)\/(-48))\/32*9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 5}. Give prob of picking 2 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(10\/3)\/i**(-1)*(i\/i**(2\/37))\/(i**(1\/11)\/i))**(2\/67) assuming i is positive.\nAnswer: i**(15112\/81807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1\/3)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/1)\/9)\/(2\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**18)**(7\/4) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v - 5*l = -100*v - 27, -3*v - 14 = 4*l + 10 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389158 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.01183216.\nAnswer: -0.002366432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*x + 342, -3*x + 3*h = -x - 191. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560386 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - -2*11\/528\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-68 - -6) + 46\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-8)\/c)**(1\/3)*c**(2\/43)*c**(-13))**(-42) assuming c is positive.\nAnswer: c**(28210\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, -35, 4 in decreasing order.\nAnswer: 15, 4, 2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 77815?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.239067006 to three dps.\nAnswer: -0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, d: 4}. What is prob of sequence ddbd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1248 - 1245.674. Let o = m + -0.326. Put -24, o, -2\/13 in descending order.\nAnswer: o, -2\/13, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 85. Give c(22).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/4 - t**4\/6 - 3*t**3\/2 - 5*t**2 + 72*t. Is g(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q + 18 = 4*p, -5*p - q + 5 = 0. Is 2 a factor of 4*(5\/p - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b11 (base 13) to base 9.\nAnswer: -12544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/1118 + -24031\/6708. Let b = -3461\/8 + 869\/2. Calculate the common denominator of b and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c + 207663 + 126761 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:36 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/5*(-1)\/((-10)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3983.8966 to the nearest integer.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 253*b**2 + 18*b - 3. Let p(f) = -2*f**3 - 506*f**2 - 39*f + 6. Determine -13*h(q) - 6*p(q).\nAnswer: -q**3 - 253*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:01 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 21*y**2 - 18*y + 101. Let o be g(-22). Let i(r) = 6*r - 80. Calculate i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 48. What is the remainder when u is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 31*(-1)\/(-30).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 - 181 = -23*y - 253 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87619?\nAnswer: 7, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 86904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = -q, 8 = -3*q - 4. Let t(b) = b - 6. Let a be t(-4). Let y(h) = -h**2 - 11*h - 5. What is the smallest common multiple of d and y(a)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 21*m + 8. What is v(15)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = -n + f, -2*f - 2 = 0. Factor 4\/7*t + n - 2\/7*t**2.\nAnswer: -2*t*(t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/((-80)\/(-10860)). Let s = t - 177. What is the highest common factor of s and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nthpnpzzpqpptnn. Give prob of picking 1 n and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(5*y + 3*y + y) - 2*y + 0*y + 5*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 14 = 6*g. Let q be (-2)\/7 + 44\/g. What is the greatest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244*b**3*z**2 + 36*b**2*z + 3*z**2 wrt b.\nAnswer: -1464*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.8 + -16. Let q = -1.94 + 0.04. Let g = u + q. What is the closest to 2 in g, -1\/6, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 28*q. Let v be d(-14). Suppose -171 = -2*k + k - 5*f, -3*k + 5*f + 593 = v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 54. Let s(h) = -4*h**3 + 3*h - 2. Let t be s(k). Let c(b) = b**2 + 6*b + 7. Let m be c(t). Do m and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 + 529. Suppose g = -3*r - s, 193 - 1162 = 3*g - 5*r. Let q be (-8)\/(-20) + g\/(-5)*1. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2707 + 5?\nAnswer: -2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**8\/168 + v**7\/105 + v**6\/20 - v**5\/6 + v**4\/6 - v**2. Factor k(q).\nAnswer: -2*q*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 1825922 + f + 1825700.\nAnswer: 2*f - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 3*v, 0 = -0*s - 5*s + 4*v - 25. Sort 0.2, 0.1, s in decreasing order.\nAnswer: 0.2, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:21 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005947342 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 0, -58, -2 in descending order.\nAnswer: 0, -2, -3, -23, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021220121 (base 3) in base 14?\nAnswer: -22b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a**(-1))\/(a**(-3\/7)*a**(-1\/2)) assuming a is positive.\nAnswer: a**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 + n**2 - 14*n + 13. Let j(t) = -2*t**2 - 3*t + 29. Let h(r) = 4*j(r) + 9*x(r). Determine h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 59628 + 43432. Suppose 3*l + 15503 = -0*l - 2*w, l - 3*w + r = 0. Let a = 1904 - l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + b**4 + (-2 + 2 - b)*(-3*b**3 + 3*b**3 - 2*b**3) - b**4 + 3*b**4 - 3*b**4.\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1900) - -1*sqrt(1900)*-6) + (sqrt(1900) - (1 + sqrt(1900))*2))*-3)**2*6*-5.\nAnswer: -166221720 - 583200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:48 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - 15\/(6 - 9)*-14. Which is greater: -1\/17 or k?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4357 + 0.5\nAnswer: -0.9357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 301, 314, 327, 340, 353, 366?\n\"Answer: 13*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1)*(-56)\/21. Suppose -10*z - 2 = -q*z. What is the remainder when -2 - (-89 - (2 - z)) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244 + -246. Let m(n) = -20*n**3 + 45*n**2 - 55*n + 15. Let k(z) = 9*z**3 - 22*z**2 + 27*z - 8. Let f(c) = p*m(c) - 5*k(c). What is l in f(l) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -3\/4 (b) 5 (c) -2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*d = 50 - 6, -3*d = -3*r + 48. Suppose -r = o - 135. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 525868 = 3*j - 32225, 4*n = -4*j + 1974572. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4924, 4927, 4932, 4939, 4948, 4959?\nAnswer: 4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x - 3*x - 1 + 3*x - 2*x. Let t(r) = -5*r - 1. Let c(n) = h(n) - t(n). Find the second derivative of c(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-6))\/((-3)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586, -1424, -2262?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 v, and 1 d when four letters picked without replacement from vaaavdvavvdaaaaa?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 32*i + 153. Give u(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times -357465\nAnswer: -53619.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 + 4*x - 9. Let b(o) be the second derivative of 1\/2*o**4 - 8*o + 2 + 1\/3*o**3 - 5\/2*o**2. What is -5*b(y) + 3*g(y)?\nAnswer: 3*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70001 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -19*i - 136. Let p(k) = -6*k - 52. Determine 3*f(q) - 8*p(q).\nAnswer: -9*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494072472 - 5*q + 494072502 - 988144974.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79008 is divided by 19744.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 77*q + 454. Let m be v(-6). What is the remainder when m + -1 - (-134 - -106) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = a - 6, 4*a = 3*t + 11. Is t greater than -501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 52, 0, -2, 4.\nAnswer: -7, -2, 0, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**6\/90 - 7*k**5\/60 + 7*k**4\/18 - 4*k**3\/9 + 267*k + 2. Factor b(l).\nAnswer: l*(l - 4)*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 17. Let l be w(-7). Let t be (-9)\/(-4) - 2\/8. Which is the second biggest value? (a) l (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147983 greater than -147979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8*a - 28 = 0, -2*r + 3*a - 1978 = -1957 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 13*n**2 + 30*n + 5. Let r be f(-15). Solve -2*l = r*h, -19 = -2*h - l + 4*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48968 is divided by 742.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78593 is divided by 117?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*t - 20927 + 4941 = 35966 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 166) + (-8 - -1) - (-29 + 51)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let n(l) = -79*l**2 - 3*l + 6. Calculate v(n(z)).\nAnswer: -79*z**2 - 3*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1200900*c. Let r(u) = -3*u. Let m(b) = 3*g(b) + 900*r(b). Let z = 1 + -2. Let v be m(z). What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -t - 23. Let x be 3\/18*3*t. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-9))\/(-7 - -6). Let g(z) = -2*z**3 - 8*z**2 - 5. Let h be g(s). Let l = -7 - -16\/3. Which is the nearest to l? (a) h (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -38*g**2 - 4*g - 3. Let m be w(-2). Let d = 81 - m. Calculate the highest common factor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1775450 is divided by 88769.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 26*u**2 + 10*u - 20. Let p be b(2). Let j = p + 149. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5)*(7*h**5 + 51*h - 51*h)*(4 + 1 - 3) + (-2*h**2 - 2 + 2)*(-3*h**2 + 3*h**2 - 2*h**3).\nAnswer: -52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 9*u - 9. Suppose -2*y + 10 = -3*o, -o + 5*y + 18 = 4. Calculate i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36027 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**5 + 3*x + 0*x + 13 + 0*x**5 - 1 - 7*x**5 + 7*x**4 wrt x?\nAnswer: -20*x**3 + 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i + 3*i + 15*i - 5*i to a + o*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2842112 divided by -6344\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 260 - 260.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 637*j + 4037. List the prime factors of y(20).\nAnswer: 19, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Suppose 0*h - 4 = -2*h. Let f be 1\/l + h + -1. Is -1\/8 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**7\/2520 - a**4\/4 - 5*a**2. Let i(x) be the second derivative of n(x). Let s(p) = -3*p**2 - 2*p**2 + p**2. Give s(i(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzyzzzyzzrzzzzyzzzzz. What is prob of picking 3 z?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13212 (b) 4 (c) 1 (d) 0 (e) 0.02 (f) -0.25 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/28*(-2)\/(-40)*-3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121100201200 - -10?\nAnswer: -1121100201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3000 and 400.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1211241?\nAnswer: 1211233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*j = 11964 - 11957 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2\/2 - x + 62. Let m(k) = -8*k - 3. Suppose -2*q = y + 1, -3*q + 7*q - 1 = -5*y. Calculate q*m(l) + 6*h(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349000 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v + 4*v**3 + 0*v**3 - 2 - 22*v to p*v**3 + f*v**2 + b*v + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42828, 42844, 42878, 42936, 43024, 43148, 43314?\nAnswer: 43528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(162) + sqrt(162) + -1)*-6 + ((sqrt(162) - (2*sqrt(162) + sqrt(162)))*1 - sqrt(162)) + sqrt(162) + 3 + sqrt(162) + 1)**2.\nAnswer: -7956*sqrt(2) + 28534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142845 = 3929*k + 112540 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 2, 3.5, -13, 3.6 in descending order.\nAnswer: 71, 3.6, 3.5, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 + j**2. Let d(a) be the third derivative of -1\/30*a**5 + 0*a + 0*a**4 + 0 - a**2 + 0*a**3. What is d(k(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -150? (a) 1\/4 (b) 0.1 (c) -0.2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/3*6\/(-4). Let p be (y + -12)\/(((-4)\/(-2))\/(-4)). Suppose p*i - 808 = -222. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:16 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 39. Let l be 2\/(-7) - (-51)\/7. Let g(i) = i - 7. Let k be g(l). Is d(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o**3 + o**2. Let i be h(-1). Let a = -10 - i. Factor j**2 + 3*j**4 + 9*j + 2*j**2 - 9*j**3 - a + 0*j**2.\nAnswer: 3*(j - 2)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1 + 3 - (-175)\/(-225)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.1385l to millilitres.\nAnswer: 860138.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775764886 to the power of 1\/2, to the nearest integer?\nAnswer: 52686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*p + 3*h, 127*p + 4*h = 128*p - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2\/7 (c) -10\/119 (d) -297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**3 - 7233*b**2 - 72325*b + 488. Determine d(492).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*x**3 - 6*c*x**2 + 2*c*x - c - x**3 + 19*x**2 - 17*x + 6 wrt x?\nAnswer: 12*c*x - 12*c - 6*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553919567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + j + 28 = 0, 11 = -5*y - 3*j - 57. Let l be (-1)\/((-33)\/369) - y\/(-88). Solve 0*f - 4*f = w + 9, l = -4*f - 3*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*q**2*w**3 + 191*q**2 wrt w.\nAnswer: -306*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -5*x**4\/24 - 22737*x**2. Let f be (2 + 4)*1 + -2. Give t(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315447 and 143385.\nAnswer: 1577235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.9 - -7.9. Which is the nearest to -7? (a) l (b) -4\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2 + g**2 - g + 590 - 350 + g wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/376437525 or 1?\nAnswer: -2\/376437525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + n + 10. Let k(s) = 4*s**2 + 9. Let h(b) = 6*k(b) - 5*r(b). Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**3 - 7*z**3 - 2*z - 7*z**2 + 6*z**2 as g*z + b*z**2 + u*z**3 + j and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7401129 is divided by 1908?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4641 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 9*b**2. Let g be (14\/(-4) - -2)*(-12 + 6). Give v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 + 268 = 0. Suppose 0 = 3*u - 8*u + v. Let q = 27 - u. Solve 2*y + q*y + 12 = -2*l, -9 = -y + 2*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1604, -12875, -43476, -103073, -201332, -347919, -552500?\nAnswer: -824741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-4*i**4 + 4*i**4 - 3*i**4) - 2*i**4 - 5 + 5 + (i**3 + i - i)*(-2*i - 2*i + 6*i) - i**4 + i**4 - i**4.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = 59. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 85*o - 85*o + 6*o**3)*(-3*o + 3*o + o).\nAnswer: 6*o**4 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -846, -1614, -2324, -2988, -3618, -4226, -4824, -5424?\n\"Answer: -2*y**3 + 41*y**2 - 877*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most -28941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/3)*o*o)**(-7))**(5\/8))**11 assuming o is positive.\nAnswer: o**(-385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/30 and 127\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(66\/(-96)))\/(-4). Let f be (-1 + 1)\/(-2)*-1. Let s(a) = a**2 - 5*a - 4. Let q be s(6). Solve 0 = -2*b, -m*p + 0*p - q*b - 20 = f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(150)\/sqrt(3) + -3)**2 + -1 + sqrt(24)\/(sqrt(48)\/sqrt(4)) + sqrt(72)*6).\nAnswer: -58 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 216 = -5*g, -52 = 3*g + 2*n + 2*n for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63688?\nAnswer: 2, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p + 6, 0 = -a - 2*p + 2. Sort -5, a, 4 in decreasing order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.362 * -1.6.\nAnswer: 35.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/9289 + 9307\/83601. Let n = 4.8 + -5. What is the biggest value in n, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/(-728)*(-12)\/24*371?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2941 divided by 57.\nAnswer: -2941\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let w(t) = 8*t**2 + 2*t. Let u(p) = -16*p**2 - 5*p. Let x = 8 - 3. Let y(c) = x*w(c) + 2*u(c). What is i(y(v))?\nAnswer: -128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297.201 + 297. Let q = z + 0.538. Let d = q - -0.063. Sort 6, d, -5 in ascending order.\nAnswer: -5, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-15))\/((-4341)\/870 + 5). Find the first derivative of 168 + p*v**2 - 55*v + 88*v - 32*v wrt v.\nAnswer: 232*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * -1279185.\nAnswer: -1918777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 797 - 328. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 16*t**3\/3 - 5*t**2\/2 - 21*t - 9. What are the prime factors of l(-5)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) - (sqrt(500) - sqrt(500)*-1*-5))*-5 + -2*(1 + sqrt(500) - sqrt(500))*4 + 0)**2.\nAnswer: -4000*sqrt(5) + 312564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560, -1279, -2578, -4457, -6916?\nAnswer: -9955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyppppppdppppp. Give prob of sequence yy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 - 1bc9b?\nAnswer: -1bc63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from ddggyydgtgygggggxtg.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23421.29 decades in months?\nAnswer: 2810554.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2497 - -644?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 1 + 10*q**3 - 3*q**2 + 14*q**3 + 4*q**3 - 7*q**3. Let o(m) = m. Let i be o(2). Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, s: 2}. What is prob of picking 2 g?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.096 + -0.204. Sort h, 0, 2, 0.2 in increasing order.\nAnswer: h, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 9. Let d be w(2). Suppose d = 6*x - 15. Find the first derivative of 7 + x + 2*r - 10 wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -23 - (2 - (2 - -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 90*j - 244. Let y be w(25). Is -2475\/4 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.154\nAnswer: -0.0308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 24929.514 nanoseconds?\nAnswer: 0.000000006924865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4958 + -24792\/5. Which is the closest to m? (a) 5\/3 (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, y: 3, x: 4, i: 2, g: 3}. Give prob of sequence gpi.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19833 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -753, -1176, -1627, -2106?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 + 9*c**2 + 3*c + 1. Suppose -3*w + 5*v - 2*v + 3 = 0, v - 11 = -2*w. Is l(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0807018 centuries in millennia?\nAnswer: 0.00807018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let d = -1 + q. Let v = 653.1 - 653. What is the closest to v in 5, d, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + 1 - 16*g**2 + 12*g**2 wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189159351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49.82438 or 1\/4?\nAnswer: -49.82438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/5, 2\/7, -11\/488?\nAnswer: -11\/488","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48303554 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 730*u - 2145.\nAnswer: -5*(u + 3)*(u + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8397.8804 - 3.1196. Is -1\/2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1968, -4003, -6038, -8073?\n\"Answer: -2035*o + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*m + 658, 2*p - m = 2*m + 330. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 6*g**2 - 18*g - 73. Give c(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 4. Let n(y) = -20*y + 12. Suppose -4*m - 32 = -8. Let b(q) = m*n(q) - 17*l(q). Let o be b(3). Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 1. Let w be c(-3). Let z = 6 - 6. Solve z = -5*l - w + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -132. Let m = -26 + -21. Let r = m + p. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*v + 1893 wrt v?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (38 + 19) - -15 - -13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 - 2*q - 4. Is 10 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -974100 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + a - 2*a**2 - 6*a - a**2. Let g(i) = -2*i**2 - 3*i. Let h(v) = -4*g(v) + 3*l(v). Let c(r) = -2*r. What is c(h(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 5*m - 45*m**4 + m**2 + 46*m**4 - 5*m**3 + 4*m in the form q*m**3 + z*m**4 + w + f*m + g*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(154)\/sqrt(7) + sqrt(22))\/sqrt(11) - (-2*1*sqrt(14))\/sqrt(7))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 2*b + 28 = 4*k, 5*k + 16 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, x: 10}. Give prob of picking 2 p.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1332191463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12)*-9*2. Suppose q*h = -h + 272. Calculate the remainder when h is divided by (-270)\/12*8\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 17 = -7*a. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -397, -412, -433, -460?\n\"Answer: -3*s**2 - 6*s - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-2)\/(-10))\/(689\/265))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 30908031\nAnswer: 2\/30908031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 276*c**3 + 4796*c**2 + 4524*c.\nAnswer: 4*c*(c + 1)*(c + 29)*(c + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26399274 is divided by 1525.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -2*w + 3*u, w - 9 = 2*u. Which is the closest to -2? (a) 0 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.1\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 7*c**2 - 9*c + 10. Suppose -3*o - 15 = d + 3*d, 25 = -5*o + 4*d. Let r be n(o). Solve -4*a + 4*k = a - 9, -4*a + 40 = r*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p**2 + 2*p + 13. Let a(n) = 780*n**2 + 105*n + 675. Let d(u) = 2*a(u) - 105*z(u). What is the first derivative of d(w) wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1490794, -1490552, -1490148, -1489582, -1488854?\nAnswer: -1487964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0488 and -2.\nAnswer: 0.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s - 3. Let f(j) be the second derivative of j**3 - j**2 + 31*j. Let d(v) = 3*f(v) - 2*w(v). Let o(q) = -62*q**2 - q. What is d(o(x))?\nAnswer: -124*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 83535 = 4*f - 83800, 10*w + f + 869 = 0 for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 439*g**2\/3 + 32281*g\/6 - 50540.\nAnswer: (g - 840)*(g - 19)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -4, -16, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/7 (c) 5\/13 (d) 3\/5 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = 58*x + 110 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let p = -1.62 + 1.12. What is the nearest to c in p, -5, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - 43. Let z = -143 - y. Let c = z + 187. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108.1 - 100. Let w = y + -8.2. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3263129, 3263113, 3263087, 3263051, 3263005?\n\"Answer: -5*h**2 - h + 3263135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 724481413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, e: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 230*w. Let i(h) be the third derivative of -h**4\/24 + 18*h**2 + 5. Give i(r(z)).\nAnswer: -230*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337725502 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3310*t - 3*t**2 - 4*t**2 + 6*t**2 + 3*t**2 - 722*t as a*t + k*t**2 + i and give a.\nAnswer: -4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8645.4162 minutes in days?\nAnswer: 6.00376125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47264 by -16.\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1083.9611316 - 162.96112733. Let q = 921 - d. Round q to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 64289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 + -1.4. Put -2\/5, 0.2, a in increasing order.\nAnswer: -2\/5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 - -1?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*6\/(-2). Let a(y) = -y + 10. Let o be a(8). Let g(u) = o*u**2 - 5*u**2 - 2*u - 3*u**2 + 3 + u**2 - u**3. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 50*p**2 + 24*p. Let h(g) = 17*g**2 + 8*g. Let n(a) = 11*h(a) - 4*j(a). What is the second derivative of n(s) wrt s?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -41*x + 2340. Give v(69).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1320020032 (base 4) to base 6\nAnswer: 14313554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 14*h**2 - 80*h - 6. Is d(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - 3*s**2)*((2 - 2 - s)*(5 - 3 - 4) - 9*s + 4*s - 4*s) + (-s**2 + 0 + 0)*(3*s - 2*s + 0*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 33?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.31 - -0.2?\nAnswer: 10.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-14)\/168)*8\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*r = 821*r - 364 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*y - 9, 6 = -4*m + 3*m - 2*y. Suppose -15 = -m*t - 5*t. Sort 2, 0, t.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11512800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1664 + -458. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-17 - -8) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12.6 (b) -4 (c) -8406 (d) 0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2 + 3*f + 4. Let x be o(-2). Suppose 0 = -5*l - s + x, 0*l - 14 = -2*l + s. Let j(c) = 2*c**3 - 10*c**2 - 5*c + 9. Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*u + 31, -2*h = -4*h - 4*u - 4. Let r be (0\/(-3) - 0) + 1. Let s be r\/16*h\/(-6). Which is the biggest value? (a) -3 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30316113 is divided by 9093?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Suppose 3*x + 968 = x. Let g be x\/(-24) - 2\/12. Solve u*h + 4*h + g = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.248 and -109.65.\nAnswer: -109.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/13 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 1. Suppose 3*u + 2*u + 2*h = -2860, 5*u - 3*h = -2860. Let r = u - -574. What is d(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*o**2 - 44*o**2 - 74*o**2 + (o - 2*o + 3*o)*(-10*o - 9*o + o).\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {j: 1, h: 1, k: 4, q: 3, d: 1, e: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51689 is divided by 90.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -644\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56461, -112850, -169239?\nAnswer: -225628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 83757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 737.\nAnswer: -294.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 78586 and -54.5817792.\nAnswer: 78531.4182208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10604.6 and 5.\nAnswer: 53023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -31.00065. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b8 (base 14) to base 2.\nAnswer: -10111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/14*0\/(-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - l + l + (5 + 13 + l - 9)*(234*l - 234*l - 28*l**2)*(-13*l + 4*l + 0*l).\nAnswer: 254*l**4 + 2268*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -m + 4 - 0, 5*m - 20 = -3*c. Suppose v = q + 27, c = 2*v + 4*q - 7*q - 59. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00263007 rounded to 5 decimal places?\nAnswer: -0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124793013 and 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/36*-4*162\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16353, -66014, -148783, -264660, -413645, -595738, -810939?\n\"Answer: -16554*w**2 + w + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-72)\/(-90))\/(1\/20) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -11. Let m be c - (24\/3)\/(-2). Suppose -a = -m*a + 30. Which is smaller: 8 or a?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - 102\/(-27). Suppose -2*g = -b*g + 16. Suppose 0*s = -2*s + g. What is the remainder when 14 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -0.22 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-5\/2))\/(v**(-38)*v))**(2\/25))**(-20) assuming v is positive.\nAnswer: v**(-332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 - -131. What is the nearest to -9 in -0.4, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 1. Let r be c(-7). Let b be ((-18)\/8)\/(9\/r). Solve -3*q + 0*q = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150698090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 + 2711\/7. Sort -1\/7, 4, z in ascending order.\nAnswer: -1\/7, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 + 3*a - 1. Suppose -2*p = w + 11, 2*w + 0 = -p + 2. Let x be p + (-4)\/(6 - 2). Is g(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1090 by 9304.\nAnswer: 545\/4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20592 rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:58 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 5*l**2 + 0 - 2*l + 8 - 3*l**3. Let v be d(6). Calculate the highest common divisor of 80 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/114 + 28\/(-266)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. What is the closest to -2 in u, -2\/13, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g**3 + 0*g)*(2*g - 2*g + g + (0*g + g - 2*g)*(-4 - 1 + 3) - 1 + 2*g + 1).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.122 rounded to 2 dps?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 + 33*g**4 + 51*g**3 - 669*g**2 + 1248*g - 660 = 0.\nAnswer: -5, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 14. Let u be x(-11). Let n = u + -22. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18\/31 - -64\/217. Let g = 2 + -1. What is the nearest to g in c, 3\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 + 0 - 8*k**3 - 4\/3*k**4 + 40\/3*k = 0 for k.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eodn when four letters picked without replacement from jnnwjdewdweedwjo.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/910 and -52\/5038775?\nAnswer: 131008150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4174 - 4170. What is the greatest common divisor of m and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14087.7509 to the nearest 100.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 73494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**2 - 36*m - 70. Is 98 a factor of o(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-1*2)\/sqrt(11)*-4)\/(-4*sqrt(128) + (sqrt(88) - (sqrt(88)*-2 + sqrt(88)))\/sqrt(11)).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 63*b = 2149440. Does 104 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4*a**2 - 3*a + 4. Let b be g(-5). Let n(h) = -5*h**2 - 8*h - 4. Let o(l) = -l**2 - l - 1. Let f(k) = -n(k) + 4*o(k). Does 12 divide f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 40599*n\/4 + 40597\/2.\nAnswer: (n + 2)*(n + 40597)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 - -3 - 3). Let z = p + 30. What is the first derivative of 3*t**3 - 3*t**3 - 22*t**4 + z*t**4 + 4 wrt t?\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312237180 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i**2 - i. Suppose -5 = 2*p + 3*y, 0*p = p - 5*y - 4. Let a(x) be the first derivative of -x**3\/3 + 1. Let m(s) = p*c(s) - 6*a(s). Calculate m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136690400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 2*w**2 + 10*w. Let r be t(-2). Factor -3\/7 + 6\/7*g**3 + 6\/7*g**2 - 3\/7*g**r - 3\/7*g**5 - 3\/7*g.\nAnswer: -3*(g - 1)**2*(g + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/2 - 49*p**4 - 1341*p**3\/2 - 1196*p**2 - 574*p = 0.\nAnswer: -82, -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u = 55. Let z be 12*(-4 - ((-38)\/12 - (-20)\/(-15))). Let i(a) = -u - z*a + 5 + 6. Let f(h) = 2*h. What is i(f(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3505.503 litres?\nAnswer: 3505503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 + 8358*g**2 - 184602*g + 1016642 = 0.\nAnswer: -4201, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, 6*u + 5 = u + 3*b. Let m be (0 - u) + 1\/(7\/14). Solve -2*l + m*l = -4*s + 17, -s - 7 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1552 - 545 + 319 = -254*v. Let m(n) = -n**3 + 8*n**2 - 4*n + 8. Calculate m(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -125*h**4\/3 - h. Suppose -20 = 5*q - 2*o, 0*o = -2*o. Let g be p(q). What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2092819, 8371301, 18835437, 33485227, 52320671, 75341769?\n\"Answer: 2092827*s**2 + s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712 = 13*v + 834 + 839 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 11*i**2 - 7*i. Let b be f(10). Let d = 224 - b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -180*m + 1172. Determine h(7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from zxaeqgxqeggxeag.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3402938 - -0.0787838. Let t = 3.26 + p. Round t to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -357.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35359\/6012 - -5\/668. Let x = t - 6. What is the third biggest value in x, -3\/7, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3425 - -3449. Solve 12 = -3*b - q, 6*q + i = -5*b + 3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.248\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z + 289. What is the hundreds digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*r + 2*j, -r - 2*j + 2 = 6. Suppose 3*z = 4*w - 5561, 5*z - 3*z = r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 5736?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20032 + 20032 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.4. Let s be (9\/24)\/(3 - 7). Let d = 103\/416 + s. Sort d, -4\/3, b in ascending order.\nAnswer: -4\/3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - -3) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13372079.\nAnswer: 7, 1910297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {v: 2, b: 4, i: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -18. Let a(d) = -d**2 - 9*d - 2. Let u be a(b). Let y be (-153)\/(-297) - u\/(-11). Is y < 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (4 + 2 + -9). Solve -3*d = -4*f - 19, f + 3*d + 0*d = -z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960307177 to the power of 1\/2, to the nearest integer?\nAnswer: 30989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.637685 to 3 dps.\nAnswer: 0.638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1450 and (-151)\/(-1057)*103\/(-10).\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:35 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -376 + 399. Suppose f*j + 3514 = 15244. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n = 4*u + 140, -u + 4*n = 23. Let d = u + 40. Solve 12*i**2 - d + 9*i**2 - 25*i**2 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911035181 >= 911035180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 1\/((1\/8)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/(-12) - 5)\/(-2). Find h such that -1\/4 + 1\/2*h - t*h**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -5 - 4\/(-4). Sort 2, -6, d.\nAnswer: -6, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1159.85664 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 122, -8, 3 in descending order.\nAnswer: 122, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.37379469 - 56.75658569. Let a = x + -3.615329. Let k = -59 - a. Round k to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9194382 centuries in decades?\nAnswer: 9.194382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15538 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 4. Let v(y) = y**2 - 1. Suppose 0 = -4*g + 3*i + 5 - 24, -5*i + 27 = -2*g. Determine g*v(d) + n(d).\nAnswer: 3*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7134 + 7146 - 14265 - 2*l**2 + 3*l + 4*l**2.\nAnswer: 2*l**2 + 3*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7114482 divided by -6?\nAnswer: 1185747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2504\nAnswer: 3\/2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10807 and 49327.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 10 = 0, -11*g - 9 + 33 = -5*j - 76 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 at most -510\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 75 = -4*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:58 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -12, -1, 10, 21?\n\"Answer: 11*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:57 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 13) to base 11\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8613 a factor of 4569276750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2611*b - 5620 + 192961 = 3066*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 7*o + 1. Let x be t(1). Let h(p) be the second derivative of 0*p**2 + 3\/4*p**4 - 21*p + 0*p**x + 0. Let j(w) = 3*w**2. Calculate h(j(c)).\nAnswer: 81*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let k(h) = 4*h + 2. Let v(f) = -5*f - 3. Let d(o) = 6*k(o) + 4*v(o). Give t(d(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 194609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3552801, 3552796, 3552789, 3552780, 3552769, 3552756?\n\"Answer: -d**2 - 2*d + 3552804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4\/(-4)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 + 14. Let n(h) = 4*h. Determine a(n(r)).\nAnswer: 144*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 34811985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-14007)\/(-735) + (-7)\/((-3920)\/(-1208))?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b6 (base 13) in base 11?\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 39*z - 1134 = 0.\nAnswer: -14, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-96256)*282*(-1)\/3?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72086687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*y**3 + 207389460*y**2 - 69129835*y + 5760820.\nAnswer: 5*(y + 1152164)*(6*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 1)*(4 - 4 + 2)*(m**3 - 5*m**3 + 3*m**3).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbllblbizrllmil. Give prob of sequence illr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2 - 7*k - 11 - 10*k + 0*k**2 + 38*k**3 + 16*k + 5*k**2 wrt k.\nAnswer: 228*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*a + 3 = -103*a + r, -4*a = -3*r - 43 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(2*sqrt(7)) + -3)*-6)**2 + sqrt(12)\/(sqrt(24)\/sqrt(6)) + -2*sqrt(3) + -1.\nAnswer: -109*sqrt(3) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((3*sqrt(33) + sqrt(33))\/sqrt(3) - (1*(sqrt(11) + -1) - sqrt(11))) + ((1 + sqrt(11))*-2)**2 + 2*(5 + sqrt(11))).\nAnswer: -295 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 668516.386 rounded to the nearest ten?\nAnswer: 668520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -325*g**2. Let a(l) = 4*l + 0*l + 4*l - 6*l. What is m(a(j))?\nAnswer: -1300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 divided by -1?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037410.\nAnswer: 2, 5, 79, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2795, -0.1, 3\/173, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 165, 171, 171, 165?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 25, -11, -97, -245, -467?\n\"Answer: -2*j**3 - 7*j**2 + 37*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*o - 1759 = 251 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1\/8 (b) -3 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 374208467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-6)\/(-1))*27. Let j be (-35)\/(-3) - 6\/h. Let d = j - 5. Solve -5*q - 4*v = v - 40, -d = 3*q - 3*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**9)*i)\/((((i*i\/(i*i*i**(-1\/3))*i*i*i)\/i)\/i)\/i))\/(i**(2\/9)*i\/i**5) assuming i is positive.\nAnswer: i**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 3, -11 in increasing order.\nAnswer: -11, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 11*r - 15*r - 91, -4*d + 3*r = -338. Solve 0 = 4*w - 2*v + 18, -3*w - 4*v - d = -64 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35327, -35472, -35707, -36032, -36447?\n\"Answer: -45*g**2 - 10*g - 35272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124431 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 3*s + 1. Suppose 6*z = -5*z + 44. Give j(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -255*j**2 - 1. Let g be b(1). Let k = 2308\/9 + g. Find the common denominator of -7 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2052*s**3 - 5453*s**2 + 323. Let l(p) = -38*p**3 + 101*p**2 - 6. Let b(t) = 323*l(t) + 6*x(t). What is the third derivative of b(z) wrt z?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.4 - -2.6. Let m = -22.9999908 + b. Round m to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 + -364.4. Let q = -7 + 48. Let t = p - q. Sort 0.2, -5, t in ascending order.\nAnswer: -5, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c = 25*c + 140 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*f**3*k**4 - 3*f**3*k + 3*k**5 - 6*k**3 + 105*k**2 + 1 wrt k.\nAnswer: 600*f**3*k + 180*k**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {t: 3, c: 1, x: 1, o: 6, m: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (-2*(sqrt(3) - (sqrt(3) + sqrt(27)\/(sqrt(9)*4))) - 2*sqrt(12)*4)**2).\nAnswer: -14335\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2574 + 1664 = -106*m + 528 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -177448 divided by -2164\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(5\/2)*a))\/a)**(-1\/2) assuming a is positive.\nAnswer: a**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(57*81\/(-1539))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76970219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.774 + -406.304. Let g = 341 + b. Let z = g + 1.25. Round z to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14b + 7?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-40)\/(-20) - (9 - 18).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 453558.56.\nAnswer: 453562.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035482 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and 463.\nAnswer: 462.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*m = 29, 2*m + 0*m = 5*i + 10. Let t = 7 + i. Let l be (32\/10)\/(2\/10). Solve -n = t*n - l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 39. What is the remainder when 163 is divided by j(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 - (-814)\/(-12). Let i = -1093\/18 - w. Calculate the common denominator of i and (1029\/24)\/(-7) + -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1934.\nAnswer: -1\/1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.041 (b) 3\/10 (c) -2 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*f = 9, 11 = -5*v - 2*f - 16. Let p = v - -19. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/9 + 2998*s**2\/9 - 21029*s\/9 + 6010\/3.\nAnswer: (s - 6)*(s - 1)*(s + 3005)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13863, -1.\nAnswer: -7, -1, 13863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27139509 to the nearest integer?\nAnswer: 5210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 918 - 461 + 247*z - 459 + 374*z to x + v*z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540979 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: What is the third root of 2326 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1)*n\/(n\/(n\/(n\/(n**(1\/8)*n))*n*n))*(n**5\/n)\/(n*n**(-6)) assuming n is positive.\nAnswer: n**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let s(x) = -x + x + 0 - 4 + 2*x. Calculate -6*s(p) - 13*w(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5*m + 4*m)*(-m - 4 + 4) + (7*m - 4*m - 2*m)*(7*m - m - m) - 9*m + 2*m**2 + 9*m - m**2 + 4*m - 4*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17902 + 3\/5 + 1443\/195 + -10. Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 + (53 + -25 - -6) - -7\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 276\/210 + 3\/(-24) + 590\/(-400). Suppose 2*o + 0*o = -2*j + 8, -2*j + 5 = -o. Let f = -2 - o. What is the closest to y in 5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20637 is divided by 480?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28801 - 28801 + 526*o + (0 + 0 - 1)*(1 + 1 - 3)*(4 - 4 + 7*o).\nAnswer: 533*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1030\/1649417 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/4 - 1041*q**2\/4 - 6327*q\/4 - 9531\/4.\nAnswer: 3*(q - 353)*(q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9148 * -230.\nAnswer: -670.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.18 - -0.82. What is the closest to l in -4, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188, -201, -184, -125, -12?\n\"Answer: 2*y**3 + 3*y**2 - 36*y - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1855 and 164830.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1747554073 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*((-3)\/25)\/(72\/80)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*r = 294*r + 154 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850456985.\nAnswer: 3, 5, 13, 9489523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 - 2*y - 2. Suppose 17*a - 4 = 15*a. Determine d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420609, 420606, 420603, 420600, 420597?\nAnswer: 420594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1277328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, q: 4, h: 2}. Give prob of picking 1 s and 2 q.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24226 + 39578. What is the highest common factor of b and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1 + sqrt(80) - sqrt(80) - sqrt(80))*-4)**2 + (sqrt(180)*5)**2 + -4 + 3.\nAnswer: 4515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 3 - 5)*(5*r - 2*r - 2*r) - 53 + 53 - 12*r)*(44 - 44 - 25*r) as x*r + i*r**2 + b and give i.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7)\/l)\/l)**(-1\/11)\/((l*l*l**(2\/13)*l)\/(l*(l\/(l**(-2\/23)*l))\/l)))**47 assuming l is positive.\nAnswer: l**(-3093775\/23023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -386 + -2?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -544366*d**3 - 121*d**2 - d - 2783757?\nAnswer: -3266196*d - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v + 2. Let u be w(2). Suppose 0 = -u*q + 2*q - 4. Suppose 77 - 377 = -46*a + 3*a + 130. Calculate the lowest common multiple of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 22. Suppose -30 = -a + 4*c, 2*a - 28 = -3*c - 1. What is the tens digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 997291*l**2 - 437269*l - 3 wrt l?\nAnswer: 1994582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 12*a - 25*a. Let l(k) = -4*k - 4. Let w be l(-2). Suppose -3*m - 7 = 2*s, -3*s - 20 = s + w*m. Is s bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.29. Let a = -0.01 + k. Which is bigger: 0.3 or a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -772\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 - b - 4. Let t be p(-6). What is the second derivative of -1 - 90*w**4 + 5*w + 2*w**t + w**2 + 98*w**4 wrt w?\nAnswer: 96*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 226 = 262*u - 265*u, 5*u - 4*o - 398 = 0. Solve 151 = 13*a + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a milligram in micrograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 2*i**3 - 6*i**3 + 2*i**3 + (-1 + 6 - 3)*(0*i**3 - i**3 - i**3) - 27*i**3 + 56*i**3 + 72*i**3 in the form a*i**2 + h + k*i + b*i**3 and give b.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -8. Suppose n + s = -4 - 5, -4*s = -5*n - 9. Sort 0.4, b, n.\nAnswer: n, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 - 106139858747\nAnswer: -106139858640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 5219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12 and -119\/772596.\nAnswer: 772596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2. Let k(m) = -16*m**2. Calculate p(k(u)).\nAnswer: 1536*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -61. Let a be (-6)\/(-15) - v\/(-15). Suppose a*u - 36 = 28. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-22))\/(2\/(16\/4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*s - 58*s**2 - 27*s + 113*s**3 + 41*s wrt s?\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -78\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p + 2. Let v = -6953 - -6950. Let s(k) = 22*k + 5. Give v*s(w) + 8*g(w).\nAnswer: -10*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 75, 2.94, -287.7?\nAnswer: -287.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Let n = y - 8. Sort 1, 2, n in descending order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 77, 65, 51, 35?\n\"Answer: -b**2 - 7*b + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001676465 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdgdgfgfggd. Give prob of sequence gd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*q = -3*x - 316*q + 15, 2*q = 0. Solve x*n + 5 = -o, 4*o + 36*n - 35*n = -1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let l be -17 + (4 + -3)*1. Is 12 a factor of (-420)\/l - (-3)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6708.732ng to kilograms.\nAnswer: 0.000000006708732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97e0e3 (base 15) in base 12?\nAnswer: -250b759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 98 = -2*n, -3*n + 40 + 111 = u. Suppose 5*g + n + 25 = 0. Let t be 40\/25 + (-6)\/g. Solve 2*j = 4*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22692 divided by -124\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.057 + 1.643. Let t = m - 1.3. Which is the third biggest value? (a) 5 (b) -0.2 (c) t (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjx. What is prob of picking 2 j and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19 + 22 - 4*d + 7*d. Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a factor of 296882759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, -32, 20, -1 in ascending order.\nAnswer: -32, -1, 1, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/(-105) - 71304\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*u - 10 = -0*u, -4*c - 4*u - 4 = 0. Let x(a) = a + 7. Let m be x(-5). Sort c, m, -4 in descending order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**4 - 46*w**3 + w**2 + 156?\nAnswer: 144*w - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 - 15931809*k - 63727284 = 0. Calculate k.\nAnswer: -4, 5310607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/7*2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*i*k**3 + 4*i*k**2 + 2*i - 43*k**3 + 17973 wrt k?\nAnswer: 48*i*k**2 + 8*i*k - 129*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/364*(-7)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458439, -458431, -458417, -458397, -458371, -458339, -458301?\nAnswer: -458257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11775100 rounded to the nearest 100000?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -131171502 divided by 12243\nAnswer: -10714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let t be 4\/(2\/(2 + d)). Suppose -t*p + 175 - 35 = 0. What is the highest common factor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a**3 - 10*a**2 + 27252*a - 10. Let j(g) = -31*g**3 - 13*g**2 + 36336*g - 13. Calculate -13*h(r) + 10*j(r).\nAnswer: 2*r**3 + 9084*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -2 (c) 18 (d) 0.2 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let f = -5 - v. Which is the smallest value? (a) -5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -431, -374, -317, -260, -203?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (59\/531)\/(12\/1350)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:25 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.2, -4, -3, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*t - 32, 5 = 5*v - 11*t + 6*t. Let g be 10\/3*(-6)\/(-4). Suppose -6 = -g*w + 4. Solve -3*u + 5*j = -w*u, u - 10 = -v*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 11)*10\/(-4). Let g = f + 39. Suppose -13 = 2*a - g. Solve 3 = 2*p - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 2*o - 817173 = -817887, 3*o + 0*o = 4*b - 204 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) -2 (c) 2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5484214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - z**4 - 2*z**4 + (3 + 0 + 0)*(2*z**2 - 2*z**2 - z**4) + 521*z**4 + 627165*z - 627165*z to m*z**3 + k + w*z**2 + u*z + b*z**4 and give b.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/8712*(-1617)\/(-98)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 585\/(-75)*(-3 + 12\/9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v - 4. Which is the second smallest value? (a) -7 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from yffyyyhzyvffyfyz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 3dde?\nAnswer: 3e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175, -226, -267, -292, -295, -270?\n\"Answer: g**3 - g**2 - 55*g - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:55 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 6 = 0. Let q be 6 - (g + (-2 - -1)). Factor 4 + q*t - 3*t**2 + 4 + t - t**2.\nAnswer: -4*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 0, -4*a + 2*l + 44 = 0. Suppose -16 = 4*o, 5*o + 87 = 4*u - 81. Let b = -26 + u. Calculate the highest common divisor of b and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/4 (b) 1 (c) 2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 147*i**4 - 5 + 9*i - 9*i wrt i.\nAnswer: 588*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*w + w + 43996 = 0, -3*w - 35213 = -4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 11. What is the tens digit of n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g + 7*g - 8*g + 5*g in the form x + l*g and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24802 - -25462. What is the least common multiple of 7 and d?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 11*p = -6*p - 104 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 8. Let u be t(7). Let f be 1\/(-23)*2\/19. Let v = f + 888\/3059. Is v greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341242 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -11 (c) 0.342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176764, -176766, -176768?\nAnswer: -176770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/2*44\/33. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 4, g: 2, x: 2, k: 1}. Give prob of picking 1 g and 1 v.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -747 - 231. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-26 - -2) + -31.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10 = 2*m, m + 872*d = 873*d - 2. Put 6, 2, 0, -10, m in increasing order.\nAnswer: -10, 0, m, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -119 - (8\/4 - 6). Let q = -122 - r. Which is smaller: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -681, -6, -2, 8, -1, 5 in descending order.\nAnswer: 8, 5, -1, -2, -6, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1243 + 1202. What is the closest to -1 in -5, 1\/2, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18136, -17638, -16286, -13654, -9316, -2846?\nAnswer: 6182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4240162, 4240164, 4240166, 4240168, 4240170, 4240172?\n\"Answer: 2*c + 4240160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8 = -2*v, 0 = 4*v - a + 5*a - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3258886 or -65177717\/20?\nAnswer: -3258886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16599*t + 16601*t - 160 = -3*h, 12*t + 3*h - 930 = 0 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x + 5. Suppose 0*w - 6 = -x*w. Suppose 4*d + 3*h + w*h - 33 = 0, -3*d - 2*h = -23. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + 4*k**2 - 26*k**3 + 27*k**3 - 3*k**4 as d*k**4 + a*k**2 + b*k**3 + l*k + w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182.1 + -182. Which is the nearest to 2? (a) -2\/13 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46062, 184246, 414552, 736980, 1151530, 1658202?\nAnswer: 2256996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - 7*z - 9. Let p = 3 - -5. Calculate j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 302 and 81389.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -530, -1235, -2232, -3521, -5102, -6975?\nAnswer: -9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001700512 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132711540 divided by 87.\nAnswer: 1525420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 19*k - 132. Is (-1)\/(((-9)\/10494)\/((-3)\/k)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-6 - -2) - 11 - (2 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 5. Let j be 8\/36 + 14\/18. What is the units digit of t\/(j\/(-1))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 103*l - 1955. Determine w(24).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288.24 * -0.9.\nAnswer: 259.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.113 - -0.052. Let u = x + 3.835. Which is the nearest to 9? (a) 0.2 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + 3*(sqrt(432) + -1) + (4*-2*sqrt(432) + 1)**2.\nAnswer: -156*sqrt(3) + 27639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - f**3 + 2*f**2 - f + f - 2*f**3 + (5 - 5 + f**2)*(0 + 0 - 3*f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + (sqrt(52) - (sqrt(572)\/sqrt(396) + sqrt(52)))\/sqrt(4))**2.\nAnswer: 4*sqrt(13)\/3 + 517\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14978*z**4 + 53942 with respect to z.\nAnswer: 59912*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p + 8. What are the prime factors of h(5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-21))\/(4\/(-42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 236 = -4*y. Let o = y - 36. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 67. Suppose 3*o - 5 = 1. Suppose -5*i - 10 = -3*p, o*p - 3*i + 3 = 10. What is the remainder when s is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Suppose z*b + 147 = 3*b. Suppose 231*y - 227*y + 8*w = 40, 0 = 2*y + w - 44. Calculate the remainder when b is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 - 3*-1. Let x be 1\/(3\/9*1). Suppose -x*m - 7 = 3*h + 11, -5*h - 29 = 4*m. What is the second biggest value in u, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774028531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x - 262. Let f be t(-33). Suppose 0 = 5*v - 4*i - 109 + 44, 4*v - f*i - 58 = 0. Solve -2*y - 10 = -2*z, -2*y - v = -3*z + 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76582.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 27?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -415 - -410. Which is the second smallest value? (a) -499 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 87.\nAnswer: 184\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9880857 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + 9834.355365?\nAnswer: 9834.185365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 40 + 39 - 8*h + 11 + 42 + 46.\nAnswer: -8*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10305 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) 2 (b) -1\/9 (c) -21\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51887\/6 + 8578. Let x = j + 70. What is the third biggest value in -1\/4, 3, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - 5*d**4\/8 + d**3\/6 + 2*d**2 + 110*d + 5. Calculate v(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 4. Let o be 57\/(-12) - 3\/(-4). Let z be 18\/4*o\/(-6). Suppose -4*u + z*l - 15 = 0, -9 = -2*u - l - 4. Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 192964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 16 = -6*x. Let a be ((-6024)\/(-500))\/x + -4. Is -1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4))\/(x*x**5)*x**(4\/9)*x**9*x)**(20\/3) assuming x is positive.\nAnswer: x**(935\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z. Suppose z = -g - g - 6. Let o be -2 - 6\/(-3) - g. Solve -3*l + 16 = 2*i, 3*l - 1 = -2*i + o*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*u - 7604, 0 = h - 3*u - 1222 - 679. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 520 + 196 - r + 79 - r in the form s*r + a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -8 - (-5)\/(-1). Let f = 6 + k. Do f and -3\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)\/p**7*(p\/((p*p**(2\/3))\/p*p*p))**(-49) assuming p is positive.\nAnswer: p**(223\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Suppose 19 = -5*b - 6. Sort -4, b, q in decreasing order.\nAnswer: q, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*x - 51383884 - 32458431 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2920 = -196*o + 561*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = 3*h, -33 = -5*x + 4*h - 3*h. Suppose -x*n = -4*n - 4. Solve n - 6 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8169 is divided by 4072?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvatzsv. What is prob of picking 1 a and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 24 = -3*i - 3*s, 5*i - 7 = 2*s. Which is the closest to -2\/9? (a) 0.3 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 8) + 14 - -10 - (-46 + 2 - -3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.5, 6257\/243, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1290)\/(-25) + ((-24)\/15 - -2). What is the highest common divisor of c and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrrrrggr. Give prob of sequence rrrg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.6 in 0.3, -2, -4, -2\/9, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44.5 + -44. What is the second smallest value in c, 13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 51*c**3 + 1633*c**2 + 31*c - 29. Let j be d(-32). Let p be (0 - 1 - -1) + 0. Solve n + j = -p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 2:34 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 4*l**2 + 4*l**2. Let m(s) be the first derivative of s**5\/60 + s**2 - 2. Let g(i) be the second derivative of m(i). Calculate x(g(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.925626 to three dps.\nAnswer: -36.926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 13*w = 2*o + 143, -44*o - 43 - 133 = -41*o - 16*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*t + 18638 - 18454. Factor 3\/8*n**t - 24*n + 12 - 33\/8*n**3 + 63\/4*n**2.\nAnswer: 3*(n - 4)**2*(n - 2)*(n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:28 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**3 + 4*b**3 - b**3)*(-59254*b - 5963*b + 15141*b) in the form w*b**2 + d*b**4 + r*b**3 + s + f*b and give d.\nAnswer: 50076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxdsxdbxdrkxdkxx. What is prob of picking 1 x, 1 s, and 2 d?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003425977 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 396918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2806020 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-2\/55)\/(d\/(d\/d**0*d)*d)**(6\/25) assuming d is positive.\nAnswer: d**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(100\/500*2*1*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62469 is divided by 4164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7)*-3 + sqrt(7))*-5 - sqrt(567)*4) + sqrt(63) + 0 + 1*sqrt(7) + 4 + 1)**2.\nAnswer: -220*sqrt(7) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 0*b - 6*b)*((2 - 1 - 2)*(-3*b + 5*b - b) + 2 - 2 - 2*b + 39*b - 5*b - 7*b) to a*b + c + u*b**2 and give u.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8662, -8655, -8654, -8665, -8694?\nAnswer: -8747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267*h**2*j - h**2 + 13*h*j + 4*j wrt h.\nAnswer: 534*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9080*u**5 - 6*u**2 - 394 wrt u?\nAnswer: -544800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30)*(-3)\/(-54)*45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 3*g**2 - 2*g + 3. Determine p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 332 - 180. What is the smallest common multiple of g and ((-22760)\/5121)\/(4\/(-9))?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 13030024213?\nAnswer: 13030024224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 270?\nAnswer: 270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41.89125 millennia?\nAnswer: 418.9125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/14104 and -107\/726356.\nAnswer: 1452712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 446*f**5\/17 + 4456*f**4\/17 + 14678*f**3\/17 + 17708*f**2\/17 + 6976*f\/17 - 64\/17 = 0. What is f?\nAnswer: -4, -1, 2\/223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 1736 = 1813 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036455401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 90.\nAnswer: -62\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -125 + 12655*p**4 - 12649*p**4 - 567*p**3 + 3*p + 837*p**2 - 154 = 0. What is p?\nAnswer: -1\/2, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -31*z**3 - 4*z. What is the units digit of t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171513 = 134*p - 68*p + 105*p. What is the remainder when p is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/110*4\/4*(-10)\/(-2)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s - 10*s - 51990 + 51992 - 990*s**2 - 8*s wrt s?\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/12*(63\/(-45) - 1). Let y = -93 - -274\/3. Sort p, -0.5, 1, y in decreasing order.\nAnswer: p, 1, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - z + 3 = 0, l - 67*z = -62*z - 11. Let p(y) = 3*y**2 + 8*y + 1. Give p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/3 + 4*k**3\/3 + 3*k**2\/2 + k. Suppose 9 - 3 = -3*b. Let j be u(b). Solve j*c - 7*z + 6 = -2*z, -24 = -3*c - 5*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w**3 - 111*w**2 - 3*w + 10. What is t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, -251, -2082, -5635, -11480, -20187, -32326, -48467?\nAnswer: -69180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.018 - -4.782. Let k = 24.467 + -23.467. Sort 1\/2, 2, v, k in ascending order.\nAnswer: 1\/2, k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1275 - 1?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33.6 (b) 0.3 (c) -46\/17 (d) -5 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 + 190*t - 18. Give x(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26937 and 657.\nAnswer: 26937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3840 and 5160.\nAnswer: 165120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/(t\/t**1*t) assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1900) - (sqrt(1900) + 2)) + 0)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*s**3 + 4*o**2*s**2 + 28*o**2*s - 12*o**2 + 66*o*s**2 wrt s.\nAnswer: 6*o**2*s + 8*o**2 + 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a + 17. Let q(d) = -d - 27. Let m(t) = t + 14. Let x(w) = 11*m(w) + 6*q(w). Let g(v) = -6*c(v) - 13*x(v). Give g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 10*g - 4. Suppose -5*p = 4*f - 34, g = -10*f + 7*f + 3*p + 39. Calculate the remainder when 32 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 + -22. Let o = 16 + k. Let d = -3 + 1. Which is greater: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6196130 is divided by 6196115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 - 2*r**3 - 8*r**3)*(2*r - 2 + 2) + (0*r**3 - r**3 - 5*r**3)*(1 - 2*r - 1) to g + n*r**4 + z*r**2 + f*r**3 + u*r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8423.3 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m - 1. Suppose -4*t = -7*t + 3. Let n be -3 + (-3 - t) + 4. Let j = n + 4. Calculate f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*b + 19, 3349*b - 3351*b + 6 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (-8904)\/210)\/((-96)\/20)*(-2)\/15.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j = 198*j. Let v(f) be the second derivative of 0*f**6 + 0 + 1\/14*f**7 - 22*f - 3\/20*f**5 + 0*f**3 + 0*f**2 + j*f**4. Factor v(z).\nAnswer: 3*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/2 - 35625*z**2\/2 + 9184725*z = 0. What is z?\nAnswer: -12370, 0, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 14*c**2 + 50*c + 60. Let n be w(-17). Calculate the greatest common factor of n and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 18*m + 18. Suppose -3*z + 0*z + 207 = 0. Calculate the remainder when z is divided by t(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -15. Let u(k) = k**3 + 5*k**2 + 6*k + 5. Let g be u(-4). What is the units digit of 4 - (h - (18 - g))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + y + 229 - 797 = -402 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 - 749*z - 5296. Give h(-7).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**2 - 10252 - 9*i**3 - i**3 + 42*i**2.\nAnswer: -10*i**3 + i**2 - 10252","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2. Let h(q) be the third derivative of q**4\/6 + 31*q**2. Determine h(i(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 + 5*u**4 - u - 4*u**4 + u**4 + 6*u**3 to k*u**4 + j + g*u**2 + n*u**3 + a*u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.17, 27\/2, 0 in increasing order.\nAnswer: -2\/17, 0, 0.17, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7174.6585 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.2 plus 163469124?\nAnswer: 163469601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-1)\/((-35)\/(-10)) + 3144\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 4082.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*p)*(-4*p**2 + 0*p**2 - 3*p**2) + (-9 - 13 - 6)*(-4*p**3 - 4*p**3 + 7*p**3) as t*p**2 + h + z*p**3 + v*p and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003330 - -230312230?\nAnswer: 222302300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27 - 4028\/(-18). Suppose 9*p = b + 73. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 752516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651659302?\nAnswer: 2, 7, 19, 2449847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98497*g**3 - 106154*g?\nAnswer: 590982*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let j be -1*(1 - (2 + -4)). Let z(x) = 3*x + 4. Let h(q) = -4*q - 6. Let l(f) = -2*h(f) - 3*z(f). Calculate j*y(v) - 6*l(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/(-66))\/((2 - 4)\/12). Let n = -62 + 57. Let a(c) = 49*c. Let y(p) = 50*p. Let j(k) = h*y(k) + n*a(k). Let o(b) = 2*b**2. Calculate o(j(t)).\nAnswer: 4050*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 + 5*r**2\/2 - 6*r - 1. Let y be k(4). Let t = 1269\/7 + -182. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109001140 and 2668.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5847\/4)\/((-42)\/(-112)) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 - 105*d**2 - 91*d - 1.\nAnswer: -12*d**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(2048) + sqrt(2048) + 3 + (sqrt(192) + 2*-2*sqrt(192) - sqrt(192))\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: 7 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5254, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -53. Let d(z) = 2 - 1 + 6*z - m*z - z**2 + 4*z. Suppose -a + 1 = -q, 4*q = 4*a - q. Give d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426 + -26. Suppose 0 = -286*r + 294*r - k. Calculate the remainder when r is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 - 157. Solve a*b + 12 = 19*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 388*c = -386*c - 41, -5*o + 3*c = 64 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = -3*y, 0*y + 24 = 4*y - 4*u. Suppose 3*o - 9 = 0, 2*m - 20 + y = -5*o. Which is the second biggest value? (a) m (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 3*p + 4. Suppose 85 = -5*i - 55. Let o = i + 28. Let b be v(o). Solve -l - 9 + 30 = 5*u, 5*u - 16 = b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2 + (-62)\/(-2). Suppose -w = -2*r - 3*u, r + u = -0*r + 14. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/6 - 6*w. Let j be d(-4). Suppose -4*k + 12 = -3*g, 4*g - 5*g - 5*k = j. Put g, 3, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.119 (c) 4 (d) 16 (e) 0.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*j**3*l + 6*j**2 + 128*j*l - 2*l - 1 wrt j?\nAnswer: 258*j*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1023 - 484*z**2 + 246*z**2 - 1108*z**2 + 458 + 6*z**2 wrt z?\nAnswer: -2680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b - 10. Let p be o(-6). Suppose -18*v - p = -13*v. Let x be 6\/v*8\/(-6). Solve 4*w = -j - j + x, -4*w = -j + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.33 - -35.3. What is the closest to 0.1 in 1\/7, -4\/3, y, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 + 5*l - 7. Suppose 2 - 26 = -4*w. Suppose 2*c = 0, w*c - c = 2*i + 12. Is 16 a factor of j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -17*o**6\/30 - 73*o**5\/20 - 2*o**2 - 49. Find the third derivative of h(q) wrt q.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13466377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/6 + y**3\/2 - 15*y**2. Let d(l) = -2*l + 2. Let i be d(2). What is t(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91696 times 0.4?\nAnswer: -36678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-42*b**4 + 26*b**4 + 72*b**4).\nAnswer: 56*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 + 5.21. What is the second biggest value in -0.1, f, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393537 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 129\/(7 + -8 + -2). Let q(m) = m**2 - 5*m - 2. Let n be q(-6). Let h = p + n. What is the remainder when h is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 - (-22)\/10. Suppose 2*q - 42 = -2*q - c*p, 3*p + 1 = 2*q. What is the greatest common divisor of q and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/60 + l**4\/4 - 11*l**3\/6 + 217*l**2 + 3. Calculate p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 3*f**2 + 0*f**2 + 2*f. Let y be (5 - 33\/6)\/((-2)\/52). Let n(x) = -11*x**2 + 5*x - 1. Let u(j) = y*b(j) - 6*n(j). Calculate u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/6 + 5*b**2\/2 + 2*b. Let t = 6 + -10. Does 6 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 200 = -50. Calculate the common denominator of (-337)\/(-70) - 30\/b and ((-4)\/((-32)\/264))\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + t**5 - t**5 + (0*t**3 + 0*t**3 - t**5)*(-3 - 1 + 3) - 1 - 2*t**5 + 1 + 2*t**4 - 2*t**4 - t**5 + (-12*t - 3*t + 3*t)*(6*t**4 - 3 + 3).\nAnswer: -73*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 23203?\nAnswer: 9281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*t - 1432*t - 768*t + 15 - 699*t.\nAnswer: -2350*t + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1)\/h)**(-10\/11)*h\/h**(-7)*h**(-9)*h assuming h is positive.\nAnswer: h**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by 2.\nAnswer: 471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 117*1553792\nAnswer: 181793664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 2. Let r be s(12). Let h be (2\/(-4))\/(3\/42). Let i = h + r. Solve -5*m = c + i + 8, 3*c = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 313, 3735, 7155, 10573, 13989, 17403?\n\"Answer: -v**2 + 3425*v - 3111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**4 - 43\/4*s**2 - 36 + 0*s**3 + 75\/2*s.\nAnswer: (s - 3)**2*(s - 2)*(s + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 9. Let h be x(7). Suppose -272 = -2*d - 4*m, -7*d - 3*m = -h*d - 666. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0516 * -1.0738.\nAnswer: -0.05540808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 3*c - 21. Let t be j(4). Solve 3*k**4 + 12*k**2 - 9*k**2 + 5*k**3 + t*k**3 - 6*k**4 - 12*k**5 = 0 for k.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -34. Solve -4*l - 24 = f, 0*l + u*f - 5 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4037, -8071, -12105, -16139, -20173?\n\"Answer: -4034*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 + 175. What is the hundreds digit of (7\/(42\/k))\/((-12)\/(-3632))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -139\/10 and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*j - 7*j - 19, 0 = 3*j + 9. Solve 0*d - 12 = p*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -479, -441, -367, -245, -63, 191, 529?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 5, -2.1, -5\/42?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67102 and 21756?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*i + 4 = 0, -31 = -2*n + 38*i - 33*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/44*(-1)\/(-2). Let l = 200\/9 + -22. What is the second biggest value in r, -4, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1052620, 1052721, 1052822, 1052923, 1053024, 1053125?\n\"Answer: 101*x + 1052519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146333*k**4 + 163399*k wrt k.\nAnswer: 1755996*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/7, -60, 0.18?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10593 (base 12) in base 7?\nAnswer: -116610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.4 and 0.1.\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107965, 431841, 971625, 1727317, 2698917?\nAnswer: 3886425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*f**6 + 1579857*f**3 + 69*f**2 - 2*f + 972463.\nAnswer: 8520*f**3 + 9479142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153\/102*206\/(-4)*-4?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -543?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(612)*1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 196036738*x**2 - 4803800232691710*x - 4803800428728450.\nAnswer: -2*(x - 49009185)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*s - 60*s - 68*s - 65*s + 246*s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11346*w. Let a(u) = -1309*u. Calculate -61*a(p) - 7*r(p).\nAnswer: 427*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38857144013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t. What is the first derivative of 4*c**4 - 2 + t*c**4 + 0 wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-55*(-58)\/957)*2\/(-42)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -207*y**2 + 1336*y + 11. Let p be k(7). Which is the second biggest value? (a) -0.06 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, x: 2}. What is prob of sequence rrxx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8368069993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p*p**(-2\/5))*p*p**(-2)*p)\/(p\/(((p*p\/p**(-2\/15))\/p)\/p*p))**(-6) assuming p is positive.\nAnswer: p**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -102516?\nAnswer: 102535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.94 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 12 (b) -2 (c) -2\/9 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72609*d**2 + 23883*d**2 - 5*d**3 + 24361*d**2 + 24365*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (342\/12)\/((-16385)\/232 - -71)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*d + 8 = 322*d. Solve -2*w + 5*a = 3*w - 10, -d*w - 3*a + 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 65. Sort 4, m, 5, 2.\nAnswer: m, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 5*(-1 + 2 + sqrt(200) + -1) + 2.\nAnswer: 3 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -391*d**3 + 471*d**2 wrt d?\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 200*h**3 + 197*h**3 - 8*h - 396*h**3 - 6*h**2. Give n(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6*-4 + (-30657)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + q - 3)*(q**2 - q**2 + 2*q**2) + (0*q + 2*q - 4*q)*(-7*q**2 + 2 - 2).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -99, -137, -175, -213, -251?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:18 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -15. Let u be x\/3 + (2 - (-21)\/(-9)). Solve u*m - 2*m + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.03, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, 3, -1, -5, 4, -1602 in ascending order.\nAnswer: -1602, -38, -5, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 323300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19116393 at most 95581966\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -2)*2\/3. Let y(u) = u + 6. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (0 + sqrt(2057))*3) + -1)**2.\nAnswer: -6270*sqrt(17) + 463186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 27 - 3*w - 27)*(18 - 8 + 5).\nAnswer: 30*w**3 - 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:25 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1 + p**3 + 0*p**3 + 6*p**2 + 7 + 6*p. Let m be v(-5). What is the remainder when 23 is divided by ((-4)\/m)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {w: 4, p: 1, y: 2, j: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*u - 11 = -8, 0 = -3*v + 3*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.353 - 0.047. What is the closest to 0.2 in g, 1\/7, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1164 and 97\/2?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.9 + 21. Let q = u + -0.1. Let k = -56 + 55.7. What is the nearest to k in -4, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3977 * 16\nAnswer: 63632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 3. Let x = 21 - -44. Let r be (-1)\/(-3) + x\/(-105). Which is the closest to z? (a) 3\/5 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403335.\nAnswer: 3, 5, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 8*b - 10. What is the units digit of o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:56 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r + 4. Let o(v) = v**3 - 2*v**2 + 2*v - 1. Let t be o(1). Sort 3, r, t.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 3*p + 576. Let t = p + -67. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*y + 8*y. Suppose 0*q - 3 = -q - s, -y*q + 5*s + 30 = 0. Let b(n) = -2*n. Let i = -4 - -6. Let f(d) = d. Determine i*b(j) + q*f(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -23 - (-8 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))**(-2\/37))**(2\/105)\/((t**(3\/7)*t)**(-36))**6 assuming t is positive.\nAnswer: t**(3596384\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101 (base 3) in base 16?\nAnswer: 9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 13*z = -12. Let b = z - 1. Suppose -b*j = -113 - 163. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42427 - -3?\nAnswer: -42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**5 + 26*n**2 - 4\/3*n**3 - 1\/120*n**6 + 0*n + 1\/24*n**4 - 1\/35*n**7 + 1. Find the second derivative of j(z) wrt z.\nAnswer: -72*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 606717716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 5*c + 8. Let t be i(6). Suppose 249 = -t*y + 5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51410836.\nAnswer: 2, 421, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Calculate the greatest common factor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 111*p**3 + 33657236*p**2 - 33657236*p**2 + 23*p.\nAnswer: -111*p**3 + 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4*b + 48. Suppose -4*w - 1656 + 1556 = 0. Let a = w + b. Let t(q) = -2*q**2 - 2*q - 1. What is t(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zym when three letters picked without replacement from eeeyezaeaeeyyaeemye.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -2111, -7807, -18903, -37199, -64495, -102591?\nAnswer: -153287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 53997989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 64 - 256 = 0. What is the smallest common multiple of 33 and d?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 491*b**2*y**2 - 291*b**2*y + 2*b*y - 2*y**2 wrt y.\nAnswer: 982*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.06 + 0.06. Suppose -c + 5*u = -12, -3*c + 15 = 2*u + 30. What is the nearest to -3 in 1, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(140\/(-15))*((-240)\/6)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -27. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, h: 2, g: 3, u: 1, k: 1}. Give prob of picking 1 k and 1 w.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from zppnzznzp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 - 122. Calculate the greatest common divisor of o and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 6. Let d = b + -25. Let j be (d - (44\/12 + -2))*-1. Are j and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2*i - 1. Let b(d) = -d**3 + 10*d**2 - 10*d + 5. Let h be b(9). Calculate j(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/7 - 1040*y**4\/7 + 40798*y**3\/7 - 307528*y**2\/7 - 606744*y\/7 + 2133792\/7 = 0.\nAnswer: -3, 2, 12, 31, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26)\/(h**(-12)\/h*h))\/(h**(-14)*h**(6\/5)) assuming h is positive.\nAnswer: h**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124*a = 1101*a - 322 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104413 - -1?\nAnswer: 104414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*l*n - 138549*l - 3775*n wrt n?\nAnswer: 12*l - 3775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (7 - -3)) + 13 + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 4*x - 1. Let g be h(3). Let t be (-9)\/g*1416\/18. Calculate the remainder when (-1)\/(-3) - t\/18 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 3004*o - 2*o**2 - 21 + 3 + o**2.\nAnswer: 6*o**3 - o**2 + 3004*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a - 5*p + 1705 = 0, 2*a + 4*p = 3422. Let d be a\/(-24) - (-10)\/(-15). Let o = d - -72. Sort 0.3, o, 0.4 in descending order.\nAnswer: 0.4, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -390100 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scfffpxfcssfxffcxs. What is prob of sequence cxpf?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3608 + -36019\/10. Let b be 98\/(-156)*(12 - 1). Let d = 4619\/897 + b. What is the common denominator of q and d?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**1))**(-34))**(3\/2)*(b\/(b*b\/b**(-4))*b)\/(b*b**(-1\/9)\/b)*(b\/(b*(b*b**(1\/2))\/b)*b*b)**(-2\/193) assuming b is positive.\nAnswer: b**(81805\/1737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Convert 29 (base 10) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 3, 0.1, -4\/7 in ascending order.\nAnswer: -4\/7, 0.1, 3, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x - 18. What is t(4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2868352 and 10992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 1\/4, -204\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18270*a**4 + 236*a**3 + 7*a**2 - 3124*a - 42 wrt a.\nAnswer: -438480*a + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 6\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4\/5 + 172*o**3\/5 + 240*o**2 - 44032*o\/5 - 45056\/5 = 0. Calculate o.\nAnswer: -16, -1, 16, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, u: 4, j: 9}. What is prob of picking 1 i and 3 u?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 1:19 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 4*l + 146, 0 = -3*q - 2*l + 152. Calculate the remainder when 139 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/7 and 21\/35 - (-124)\/(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108605 divided by 21721?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57640 = -6058*f + 7499*f for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(28\/(-462)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200649 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10650.74 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 10*v**2 - 13*v - 171. Let i(w) = -2*w**3 + 2*w**2 - 2*w + 1. What is the remainder when i(-3) is divided by c(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = -5*q, 0*i + i = -4*q - 3. Let j(y) = -y**3 - 2*y**2 + 5*y + 7. Let u be j(i). Is (4\/5)\/(u\/155) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2720135, 5440267, 8160397, 10880525?\nAnswer: 13600651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 96\/(-4)*3\/(-4). Suppose -4*g = 3*b - z - 32, -18 = -2*g + 2*b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18638 times -0.1\nAnswer: 1863.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -139, -290, -489, -730, -1007?\n\"Answer: l**3 - 33*l**2 - 5*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -7425.74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxm when four letters picked without replacement from {m: 4, x: 8, y: 2}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256235513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w - 2. Determine x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 0.1, 0.5 in increasing order.\nAnswer: 0.1, 0.5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4. Let y be j(-3). Calculate the greatest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u - 2*c, 5*c = u + 16 - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wffw when four letters picked without replacement from {w: 2, f: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1685\/(-3707)*(-12)\/10.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)*d)**(-49)\/((d*d**(-2\/27))\/((d**4*d)\/d)))**(1\/19) assuming d is positive.\nAnswer: d**(-358\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let i = -22 + 25. Let l(k) be the second derivative of 0 - 1\/2*k**i + 0*k**2 - k. What is j(l(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/5*((-982)\/1473)\/(2\/28880).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 31*g**5\/20 - 109*g**4\/6 + 76*g - 130. Let v(b) be the first derivative of p(b). What is the third derivative of v(r) wrt r?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48332 is divided by 24165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.91 + 3.09. Let v = -34.8979 - 0.0021. Let w = v + n. Which is the closest to w? (a) 1 (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*z**2 + 9 - 309*z + 230*z + 3*z**2 + 0*z**2 as f + b*z + u*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:15 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 573762.\nAnswer: 2\/286881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*w + 5 + 10, -5*j = -4*w + 19. Suppose 4*f + 4*h - 20 = 0, -f = f - 2*h - 2. Is w at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 657, 1279, 1889, 2481, 3049, 3587, 4089, 4549?\n\"Answer: -n**3 + 629*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 12 + 11 + 8 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-252)*8\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -7*d**5\/90 + d**4\/27 + 8*d. Determine r so that j(r) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 77 (b) 4\/7 (c) -11\/5 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 11502*i**2\/5 + 33074001*i\/5.\nAnswer: i*(i - 5751)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 15885. Let k(d) = -2*d. Calculate k(h(y)).\nAnswer: 2*y - 31770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02544 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/(17200\/24))\/((-1)\/5*1).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893415.\nAnswer: 5, 378683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(1\/4))*s)**49\/(s**7\/s*s**(-3\/7)))**(-7\/3) assuming s is positive.\nAnswer: s**(-1559\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -59041795 divided by 5\nAnswer: -11808359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 - 109. Differentiate -21 + m*n**4 - 11*n**4 - 10 with respect to n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1400.1 - 1208. Let d = 192 - t. Which is the closest to d? (a) -0.5 (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 5, -1.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, 41, 126 in ascending order.\nAnswer: 5, 15, 41, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 1. Let k be p(2). Let g be 7\/((-910)\/39) - 37\/10. What is the smallest value in g, k, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 7*z**2 - 14*z + 8. Let x be g(-5). Factor -10\/3*a + 2 + 2\/3*a**2 + 2\/3*a**x.\nAnswer: 2*(a - 1)**2*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 26 - (7 + 3) - -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-462) + (15 - 18)\/18.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 17*b**2 - 16*b + 5. Let c be w(16). Suppose -3*n - 4*s + 16 + 24 = 0, 4*s = c*n - 88. Let v be -1 + 3 + 14\/1. Is v greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3618*p**2. Let d(m) = 39213*m. What is d(v(l))?\nAnswer: -141872634*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 16 = -35*c - 2*y, -2*y = c. Solve -2*u - 14*d + 10*d = -10, c*u - 11 = d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*j - 449*j + 880*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123844.108878 + 123844. Let k = 0.178 - 0.287. Let f = k - y. What is f rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6*z - 334*r**6 - 144*r**3 - 8*r**2 - 46*z + 99 wrt r.\nAnswer: 120*r**3*z - 40080*r**3 - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 154 - 2*j - 111 as w + o*j and give w.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78219 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 19*b - 186. Let h be r(37). Let c = -278 + h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxnx when four letters picked without replacement from nxxyk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -7*f**5\/20 + 4*f**4\/3 - 4*f. What is the third derivative of x(q) wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*c - 22 = -198, -2*i = 3*c - 66. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1401, 1681, 2163, 2859, 3781, 4941, 6351, 8023?\nAnswer: 9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 0*p**2 - 2*p**2 - 2 + 6*p. Let o be a(-7). Suppose -17 - 48 = -o*j. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m. Let a(n) = n**2 + n + 26. Let g(d) = -2*d**2 + d + 1. Let v be (-20)\/70 - (5\/7)\/1. Let s(t) = v*a(t) + g(t). Determine s(b(w)).\nAnswer: -27*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose -2*q = -y*q + 6. Let p = -13 + 12. What is the third smallest value in p, -3\/2, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*2 - 7\/(-7). Solve -4*v - 3*r = -r - 14, w = 2*r + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away -191250?\nAnswer: 191250.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 916486, 1, -3, -4 in ascending order.\nAnswer: -4, -3, 1, 916486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*-1*(14 - 3) - 0. Let h be 1\/(m\/24) + (-2)\/11. Calculate the greatest common divisor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(-2\/7)*i))\/i)\/i*i\/(i*i*i\/(i**4*i*i)*i*i*i*i)*i**(-7)*i**(1\/5))**47)**(-26) assuming i is positive.\nAnswer: i**(364156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16)\/(-60*(-730)\/960)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 5*f + 15)*(-2*f**3 + 0*f**3 + f**3) + 192*f**3 - 192*f**3 - 13*f**4.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 + 826 - 414 + 209*h**3 + 1158*h**3.\nAnswer: 1367*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (57 + -32 + -24 - (-11 - -4))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 plus 2005.788855?\nAnswer: 1877.788855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 9 - 15. Suppose a - 14 = -3*t - 0*a, t - l = a. Let b be -1*3\/(9\/(-21)). Solve -2*d - t*k = -7, 4*d + 7*k = 4*k - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + -34 + -1*1. Is 4 a factor of ((-9)\/(-6))\/((-6)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let v(f) = -f**3 - 6*f**2 + 5*f - 4. Let x(u) = 5*p(u) - v(u). Give x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*i - 3, -i - 5*d + 16 = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 101.25. Let n = -0.25 + a. Let w = n + -9.99999895. What is w rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 4, y: 4}. What is prob of picking 1 m, 1 y, and 2 e?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -1 (b) -3\/5 (c) -1\/5 (d) -368 (e) -1\/21 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.5, 0.3, 1.12, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 12. What is o(17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746500?\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -18. Let i = -50 + 55. Suppose -1 = i*w - 11. Solve 0 = w*h + h - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1333*g + 113. Let r be q(-5). Suppose 0 = d + 4*a - r, -d + 0*a = 3*a - 6778. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*o = n + 10, -o + 59 = 4*n. Solve 3*m + 4 = -m, -n = -4*g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/8 - (-273)\/(-6). Let v be 2\/8 - z\/12. Suppose -2*i + 88 = v*j - 0*i, i = -j + 20. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 26. Let p = 0 - b. Suppose 135 = 16*r - 11*r. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/24 + n**3\/3 + n**2 + 2*n + 6. Let w(y) be the first derivative of f(y). Determine u, given that w(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w = -78*w. Which is the closest to w? (a) -1\/4 (b) 0.45 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 - 2*w**3\/3 + w**2\/2 + 2*w - 2. Let g be z(-2). Solve s + 13 = 5*k, g = -3*k + s - 6*s + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14015 by -1706.\nAnswer: -14015\/1706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -183465.\nAnswer: -128425.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (204\/(-18))\/(2 + 16\/(-6)). Let h = -1 + b. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 285, 490, 661, 798, 901, 970?\n\"Answer: -17*n**2 + 256*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*x\/(x**(-14)\/x)))\/(x\/x**(-2\/29)))\/(x**(-1\/5))**35 assuming x is positive.\nAnswer: x**(-292\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 3.2, -7.7 in descending order.\nAnswer: 3.2, 0.1, 0, -7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680617 + -0.52.\nAnswer: 680616.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3 - 9 - q**2 + q**2 + 8*q + q**2. Let k be h(-9). Solve 8 = r - n + k, n + 5 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = -5. Let r = w - 1. Which is the third biggest value? (a) -3\/5 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4559 and 970?\nAnswer: 45590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*x + 147*x = -3*d + 103, -x = -d + 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 36. Let h be 1441996\/o - (-6)\/21. What is h rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 27*d + 26*d - 67 = 2*q, -137*q + 147*q - 350 = 2*d for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3293348 + 672172 = 156*x. List the prime factors of x.\nAnswer: 2, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4658 is divided by 1143?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230645510?\nAnswer: 2, 5, 323064551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*b + 11977 = 21432 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4053*i**3*m + 11*i**3 + 276*i wrt m?\nAnswer: 4053*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -74544 divided by -6\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**3 + 90*d**3 + 249*d**3 + 452*d**3.\nAnswer: 748*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**5 - 67*t**4 + 279*t**3 - 313*t**2 - 244*t + 420 = 0.\nAnswer: -1, 7\/5, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372463437?\nAnswer: 3, 124154479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 equal to 18.005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29130080 divided by -1\nAnswer: 29130080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 - 698*k**3 - 3*k**2 - 23742*k.\nAnswer: 12*k**2 - 4188*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 282 + 1\/4*a**4 - 2*a**2 + a**3 - 6*a. Determine j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 - 136947*v + 136947*v. Let u(q) be the third derivative of 11*q**4\/24 + q**2. Determine u(o(g)).\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 833, -5, 216 in decreasing order.\nAnswer: 833, 216, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 238*p - 2114. Let a be j(9). Let r = 94 + -66. Is a less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 17\/12*w**4 + 0 + 0*w**3 + 23\/2*w**2 - 33*w. What is the first derivative of d(l) wrt l?\nAnswer: 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280098, -560224, -840352, -1120482, -1400614?\nAnswer: -1680748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*l - 15, -5*p - 7*l + 15 = -2*l. Suppose -2*i - p*i + 70 = 0. Suppose 0*y = -3*y + 123. What is the remainder when y is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)\/(6\/6) + 15. Suppose -12*s = -17*s + x. Solve s*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -1405*j**4\/12 + 47*j**3\/6 - 52*j**2 + 1. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41809211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:32 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(((-468)\/(-65))\/18*(-10)\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 3*i**2 - 5*i - 6 - 2*i**2. Let x(g) = 5 + 55*g + 0 - 51*g + 2*g**2 + 0. Determine -4*q(b) - 5*x(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 divided by -8?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 899655401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*w - 12640 = 116*w. List the prime factors of w.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 2:32 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/5)*p**(-3\/10))**30)**(1\/3))**28 assuming p is positive.\nAnswer: p**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4593920 divided by -1280.\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - (-28)\/12. Solve -r*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 2*a + 3. Let x = 21 + -16. Suppose -11 - 4 = x*d. Calculate m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 2*v. Let h(x) = -34*x - 12. Let z(o) = 22*o + 8. Let p(c) = -5*h(c) - 8*z(c). Calculate the least common multiple of p(v) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -521 - -3653\/7. Let f = 0.2 - 0.3. Let h = -1.074 + 0.074. Which is the closest to f? (a) w (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480562832 - 480563519.000773. Let z = -687 - q. What is z rounded to 5 dps?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + 4) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*p**3 - 424*p**3 + 1 - 3 + 2*p**2 + 2*p**4 + p in the form f*p**4 + c + z*p**2 + i*p + g*p**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = -73*s + 3369. Calculate the remainder when s is divided by 2\/(-6) - 273\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/528 and 97\/110.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 - 9*h**4 - 21*h**3 + 21*h**2 + 54*h + 24 = 0 for h.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 156*r**2\/5 + 208*r\/5 - 48\/5 = 0?\nAnswer: -6, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:34 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 7) in base 15?\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 4*g + 5. Let f(n) = -n**2 + 3*n + 4. Let l(z) = 5*d(z) - 6*f(z). Let b be l(-3). Let j = 2 + b. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.12 + -0.12. Let t = 36 - 90. Let q = t + 268\/5. Which is the second biggest value? (a) q (b) 3 (c) -0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -29.49357.\nAnswer: -29.29357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 1573*s - 75704. Calculate m(-735).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*r**2 + 2*r**2 + 2 - 2*r - 19*r**2 - 20*r + 23*r + (-2 - 2*r + 2)*(r + 3*r - 2*r) + 2 - 2 - 2*r**2.\nAnswer: -26*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0 + 1\/840*q**6 - 1\/84*q**4 - 1\/420*q**5 + 0*q + 0*q**3 - 15*q**2. Factor n(h).\nAnswer: h*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 2155762.2842.\nAnswer: 2155762.6842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w + 26. Solve 5*o - 4 = w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13111139 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2 + 0*l - 31 - 8*l. List the prime factors of z(-21).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 28420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(-1)*3\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = 21*j + 2353. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 793084?\nAnswer: 793084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -60. Suppose 4*i + 5*n = 61, -i - m*i = n - 92. What is the tens digit of ((-28)\/(-56))\/(i\/(-20) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 - 48 - (26 - -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y + 174*y = 1050. Solve 105*u + y = 100*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:52 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2682 and 13208418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 442528643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 249525.\nAnswer: 2744775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 6. Let o be b(8). Suppose -2*u + 0*g - 3*g = -208, 0 = 2*u + o*g - 204. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -153. Suppose 8 = -4*t + q - l, -5*t = -4*q + 152. Let j = -16 - t. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/3? (a) -0.2 (b) 10.87 (c) 5\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 678727 and 1?\nAnswer: 678727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 take away -2212602068505?\nAnswer: 2212602068521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*k + 5741, -g = -3*k + 12477 - 3866. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -38. Let z = 26 + w. Let s = 2.9 - -0.1. Which is the third biggest value? (a) z (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678315?\nAnswer: 5, 335663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6 - 5 - 2*c + 0. Is u(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(3576\/(-18))\/(-4). Let j = l + 151. Solve -3\/4*m**4 - 3\/2*m**3 + 3\/2*m**j + 3\/4*m - 3\/4 + 3\/4*m**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46*w + 57 - 57)*(-1 + 1 - w + (5 - 3 - 3)*(-3*w + 2*w + 3*w)) in the form k*w**2 + v + o*w and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51389.\nAnswer: 13, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 8*z + 5*h - 20, -z = -4*h + 15. Suppose z*x = -2*y + 443, -5*y - 6*x + 1100 = -x. What are the prime factors of y?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 7*p - 5. Let w(z) = 6*z + 32. Let a be w(-4). Let g be h(a). Let c be (5\/(-15) - -1)*(g - 0). Solve -c*i - 5 = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-9684)\/(-54))*(-12)\/10 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 107 - (4 + -12 + -5) - -7?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3 - 336 + 2*r**2 + 39*r**4 - 308 + 544 + 0*r**3 wrt r?\nAnswer: 936*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -23, 199, 579, 1117?\n\"Answer: 79*a**2 - 173*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 1. Let z(f) = -10*f - 2. Give -2*u(d) + z(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14781 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -2 - -6) + -6 + -41. Let f(m) = -4 + m - m**2 - 5*m + 2*m**2. Let l(k) = 10*k**2 - 45*k - 45. What is n*f(x) + 4*l(x)?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 5*n**2 - n**2 + 4*n**2 + 3*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.3037 + -0.3237. Let h = 42 - y. Let u = h + -0.02. Which is the closest to -1? (a) u (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 4505.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 317 + 52)*(-3*a + 0*a + 2*a)*(-2 + 2*a + 2) to g + t*a + s*a**2 and give s.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:01 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8331, -16648, -24951, -33234, -41491, -49716, -57903?\nAnswer: -66046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 35 = -3*s. Let h = s + -17. Let d = 11 + h. Solve -d*x + 3*w - 2 = 0, 4*x + 0*w - 20 = -3*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 91190.\nAnswer: 273570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 2*z**2 + 5*z + 3. Let m be d(-3). Let n be 18\/(-27) - (-22)\/m. Let r = -2.2 + 2. Which is the smallest value? (a) -5\/2 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y, -4*g + 219 = -g - y. Suppose -5*t + 117 = -g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*z = 3*z - 60, z - 2 = 0. Suppose -15 = k + 5*l, -7 = -k + 3*l + a. Suppose -21 = -4*n - k. What is the smallest common multiple of 22 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(12\/40). Suppose -2*l - 47 = 5*n, n - 89 = q*l + 4*n. Let x = 19 + l. Solve -x*d - 1 = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184566 is divided by 46127?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = k - 3*w, -353 = -3*k - 5*w - 0*w. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.095 - -0.195. Let v = 397 - 405. Which is the closest to v? (a) 3 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0582 + -0.1845. Let d = 175967.84370671 - 175967.97. Let z = d - w. Round z to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/4239? (a) -0.1 (b) 4 (c) 2\/3 (d) -1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27733175 is divided by 46532.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115189.98 and 105.\nAnswer: 115294.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2602048829 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-77))\/(6\/(-66)))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -151, -90, -1, -5 in decreasing order.\nAnswer: -1, -4, -5, -90, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1297692 millennia in centuries?\nAnswer: 1.297692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -3, 160, 3, 5, -2 in decreasing order.\nAnswer: 191, 160, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*g**2 - 105 + 279*g - 279*g + 63*g**2 as x + y*g**2 + z*g and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 9 + -8 - -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23112 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58380 - -137\nAnswer: -58243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 387\/(-2322)*2\/((-8)\/6). Suppose -2*x - 4*m + 10 = 32, x + 19 = 2*m. Which is the third biggest value? (a) j (b) -5 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 2*i + 35*i**3 + 5*i.\nAnswer: 35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let p(z) = 0 + 6 - 5 + 3*z**2 + z - 2*z**2. Let l(i) = -2*i**2 - 5*i - 5. Let j(a) = -l(a) - 5*p(a). What is j(b(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 5, a: 3}. Give prob of picking 2 a and 1 b.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 39437314.\nAnswer: 39437314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/k*k)**7 assuming k is positive.\nAnswer: k**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195912 and 261216?\nAnswer: 783648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 7 + 1. Let c be (0 - 1)*15\/n. Solve 4*x = -p + 13, -3*p - 4*x = -c*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:19 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704718.3 litres in millilitres?\nAnswer: 704718300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-28))\/((-4)\/32*-4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10724, -18746, -24066, -26684, -26600, -23814?\nAnswer: -18326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/32520 and 143\/9756?\nAnswer: 97560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257114781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 259165 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*j + 30. Suppose -5*n = 2*b + 2*b + 3, 0 = j*n + 2*b + 9. Sort 0, 2, n.\nAnswer: n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/400 and 3887\/(-7488) - (2 + (-140)\/63).\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*((-2542)\/(-4))\/31 - 5. Suppose d + 4 = -d. Sort w, -3, d in decreasing order.\nAnswer: d, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -203*j + 2. Let p be m(0). What is the fourth biggest value in p, 0.4, -12, -1\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 plus -805034?\nAnswer: -804905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggtt. What is prob of picking 1 t and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -755 divided by -49780?\nAnswer: 151\/9956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 - 283 - (-1 + 43).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*k - 754 + 9 + 100 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 207, 909, 2079, 3717?\n\"Answer: 234*a**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24611.1 and 0.08.\nAnswer: 1968.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 557, 1446, 2929, 5006, 7677?\n\"Answer: 297*n**2 - 2*n + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + f - 67. Let n be y(0). Let a = 1250 - n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from hththhhthhtht.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 9*b**3 - 4*b + 10*b + b**2 + 14*b**2 + 3*b**4 + 3*b**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475678 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100000011101100111 - 1?\nAnswer: -1101100000011101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (15 - 7) + -1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2341*j + 54*j**4 - 2037*j + 4*j**4 - 3295*j + 536*j - 24*j**2 wrt j?\nAnswer: 696*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3*q + 2. Let k be f(2). Suppose -4*c = -2*u - 96, -48 = -2*c - k*c - 5*u. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1572 and 6288.\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or -5136?\nAnswer: -5136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 39*m = 30. What is the closest to -0.1 in m, 1\/2, 3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -68, 2, -0.099?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/180*4560\/(-144).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:18 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*o + 80 = 0, f + 4*o - o = 6. Suppose z + f + 21 = 0. Let n = -35 - z. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -11fde3 (base 16) to base 6.\nAnswer: -41134455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**6\/120 - s**5\/12 + s**4\/4 - s**3\/3 - 45*s**2 + 21*s. Let i(r) be the first derivative of a(r). Give i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187652662 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 9. Suppose 0 = -3*p + 5*u + 38, 0*p - 2*p + 4*u + 26 = 0. Let a be d(p). Solve 0 = 2*z - 3*i - a, -4*i = -3*z + 2*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 4*x + 40. Let h be x\/5*1*-3. Let q be -2*h*(-10)\/4. Calculate the highest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(-2)*-7*(-265)\/1484*22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 498 divided by 37\nAnswer: 498\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770762007.\nAnswer: 7, 17, 109, 211, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (5 + -1) - 0. Let p = 574 + -577. Let w = 1 + 0. Sort p, u, w in increasing order.\nAnswer: u, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33104, 32993, 32690, 32099, 31124, 29669, 27638?\nAnswer: 24935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m + 14*m = -476. What is the remainder when m is divided by (-32)\/(-6) - 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -2\/3 (c) -3 (d) 3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2 - 3)\/((-810)\/81). What is the fourth biggest value in 0.2, n, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*d + 1534, 233*d = 2*f + 235*d - 612. Calculate the greatest common factor of f and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000256285 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/6641907 and 67\/626595?\nAnswer: 33209535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -1. Let m = 8 + p. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 9*z - 135 to p + a*z and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 2*a. Suppose 4*i - a*i = -2. Suppose 2*s + 2*s = -20, 4*g + 2*s + 2 = 0. Solve -g*b + 5 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 + l**3)*(-l + l + 7*l) - l**4 - 1 + 1 + (-4*l + l + 4*l)*(-4*l**2 - 2*l**3 + 4*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0 - 9*v**2 + 0*v - 1\/4*v**4 + v**3. Let h be z(5). Does h = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-10))\/((-48)\/20 - -2). Suppose f*k = 3 + 9. Suppose 17 = k*t + s, -3*t = -2*s - s - 9. Solve -5*y = -0*y + t*m + 15, -3*y = -5*m + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/6)\/(522\/3132)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5)*260\/12. Let o = 393 + v. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 3*q**2 - 4*q - 2. Let o be 190\/38 - 7*1. Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 230, 760, 1794, 3500, 6046?\nAnswer: 9600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, 20 in decreasing order.\nAnswer: 20, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = z + 14, -d = z - 3*d + 5. Let t = 78 - 78.155. Let j = 0.045 - t. Is j at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2\/2 - 7*z + 114. Suppose 2*m - 12 = -0*m. What is b(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (-25 - -64)) + -7 + 7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 a when three letters picked without replacement from {e: 1, a: 3, n: 1, u: 1, o: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64545 + 64539.1134. Let g = c - -0.0866. Round g to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = -0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8033 (base 11) in base 8?\nAnswer: 24674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-12)*4)\/(1\/18). Let d = y - 17. What is the greatest common factor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/(-6))\/(49\/147). Solve -x + 9*x = n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 1, p: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1282 + 3857 - 3*z - 1271 - 1282. Let d(i) = 4*i. Calculate p(d(y)).\nAnswer: -8*y + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(-5)*o*o)\/(o**(-2\/7)\/o))**(-15))**(-2\/9))**(-47) assuming o is positive.\nAnswer: o**(-940\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 > -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84581910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-198)\/(-48) - 1\/8. Suppose 3*m - 11 = 25. Suppose -q + 5*b = 3, 11*q - 5 = 10*q + b. Solve -m = w*c - q*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 5:19 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {x: 5, a: 1, y: 6, b: 1, g: 6}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 7*b + 5. Let m be h(-6). Let k = 705 + -707. What is the tens digit of 10*(k - -1)*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1980816?\nAnswer: 1980816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let d be o(4). Let u be 36\/48 + (-6)\/8. Suppose 29*j + 4*l = 34*j - 19, u = -4*l - 4. Sort d, 9, -2, j in decreasing order.\nAnswer: 9, j, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflx. What is prob of picking 1 l, 2 x, and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j**3 - 24*j**3 - 26*j**2 + j + 26*j**2.\nAnswer: -58*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 + 771 = -34*b. Is b != -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*x + 203270 = 226358 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*v + 21*v + 4 to o + x*v and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q\/q**5))\/((q*q*q**0)\/q)**(2\/45) assuming q is positive.\nAnswer: q**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 1\/18*d**4 + 0*d**3 + 0*d**2 + 1\/27*d**6 + 0*d + 4\/45*d**5 - 10. Determine x, given that f(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -51. Suppose s - b = 6*s. Let l = s + 18. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -2.32 (c) 0.1 (d) -3 (e) 38 (f) 0 (g) -0.056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umu when three letters picked without replacement from mjjuujjjjujmm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(3\/10)\/x))*x)**(-18)\/(x**(1\/17)\/(x\/x**6)) assuming x is positive.\nAnswer: x**(-889\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643475?\nAnswer: 5, 11, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*1)\/((-588)\/168)*(-2)\/7.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 41*p**2 - 414*p - 90. Let t be b(-43). What is the greatest common divisor of 66 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511842*f**2*m**3 - 98*f**2*m**2 - 114*f**2 + 1549677*m wrt m?\nAnswer: -3071052*f**2*m - 196*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, d: 3, i: 4}. What is prob of picking 3 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3264)\/(-17)*(-1)\/(-2)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 3*a, 4 = -0*w + 4*w - 5*a. Let h = 6 + w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 2*p - 4. Let d be j(-4). Let k = -2237 - -2235. Which is the closest to 0.1? (a) k (b) 21\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 7:07 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3938 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 960063420*g**4 + 369*g**2 + 1560401 wrt g?\nAnswer: 23041522080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 43 = -3*s - 18*s + 4*q, 4*q - 24 = 6*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.9422520367766?\nAnswer: -1.4422520367766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406323 is divided by 6270?\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14015 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, 4\/7, 0.0564 in decreasing order.\nAnswer: 4\/7, 2\/5, 0.0564, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5780.93mg to grams.\nAnswer: 5.78093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21673.8266 minus -0.07?\nAnswer: -21673.7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60524 is divided by 91.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-10)*14\/(-126)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2.044\nAnswer: -6.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 135b3 (base 16) in base 6?\nAnswer: 1411015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 30 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**3 - 1510544*z**2 - 47535309120*z + 63383097600.\nAnswer: -4*(z + 62940)**2*(3*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005855715 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-5 - -14) - (-149 - -143)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -1\/60*i**5 + 1\/90*i**6 - 1\/36*i**4 + 0*i**2 + 0 - 16*i + 1\/18*i**3. Factor w(t).\nAnswer: t*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppzpzuoppbuppu. Give prob of picking 2 p, 1 b, and 1 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 129\/(-2)*(-8)\/(-6). Let a = q - -13. Let g = 78 + a. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - 3*u)*(-6480*u - 7367*u + 3302*u - u + 2 - 2 + (0 + 2*u + 0)*(2 + 1 - 5)).\nAnswer: 10550*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 1.55, 145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23965\/19 - -1261. Let l(i) = 2*i + 48. Let a be l(-23). Suppose -2*k + f - 1 = 0, a*f + 5 = -k + 12. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from yjlijfiiiiiiiiiylli?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 449*j**2 - 480*j wrt j.\nAnswer: 898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.09 - 1.99. Let n(y) = y**2 + 7*y + 2. Let z be n(-8). Suppose 5*h = -20, -2*o + 2*h = -h - z. Sort o, v, 3\/5 in increasing order.\nAnswer: o, v, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 2)*(2*u**2 + 0*u**2 - u**2) + (3*u**2 - 4*u**2 + 3*u**2)*(3 - 1 - 3) + u**2 - 3*u**2 + u**2 + (-2*u + 0 + 0)*(0*u - u + 0*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 38 = k, -4*k + 0*f + 192 = 2*f. Suppose 3*l + 0*l + k = 5*o, l = -o - 14. Let p be ((-4160000)\/l)\/(2\/75). Round p to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, -3, -1\/9, -2\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 + 80\/24*(-3)\/(-2) is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + 0 + 8. Suppose -4*p + 147 = -3*w - 0*p, -k*w = -2*p + 231. Is 400\/18 + 10\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) 13 (c) -0.4 (d) 0.1921\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*n - 122 = 0, -4*x - 4*n + 177 = -27. What is the remainder when x is divided by (-1 - (-24)\/20) + (-1390)\/(-50)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2 + 1 + sqrt(833))*6 + -1 - (-2 + -4*2*sqrt(833)*1)))**2.\nAnswer: 59584*sqrt(17) + 2618064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7724 and -3.9.\nAnswer: -30123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/63)\/(6\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16830.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let v(k) be the second derivative of k**4\/6 - 19*k**3 + 2*k - 8. Give v(f(p)).\nAnswer: 8*p**2 - 228*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 69. Let q be u(8). Suppose -q*z - 2*z = -20. Solve z*c - 25 = 9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -0.05 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 72435.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/21)\/b**16*(b\/((b*b\/b**(-5)*b)\/b*b)*b)**(-1\/11) assuming b is positive.\nAnswer: b**(-3548\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q. Let i(c) be the second derivative of -27*c**4\/4 + 50*c - 3. Calculate i(x(u)).\nAnswer: -729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/15 - -1) + 17276\/(-30). Let f = q + 1544. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 - 30*f**2 + 12*f**3 + 14*f**2.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 111200100202121221?\nAnswer: 111200100202122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2 + sqrt(700))**2 + -3 + sqrt(700).\nAnswer: 10*sqrt(7) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -731 + 1133. Let i = 125 + 14. Let j = n - i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 4}. Give prob of sequence mom.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121 - -5?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o**3 + 17*o**3 + 51*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 0, -p = -6*p + 4*z + 14. Let s(v) = -v + 7. Let u be s(5). Let n be -2 + (2 - (-1 + u)). Which is the closest to n? (a) p (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101000222 + 12111112?\nAnswer: 120112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-63) - 28\/(-196) - 104\/(-630)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1573) + -2 + -3 + 3 + -1 + 0.\nAnswer: -8 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n, 4 = -2*s - n + 3. Let g be (60\/(-16) - -5)\/(s\/32). Solve -5*q = -g, m - 2*q = -m - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/18 and 23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 6. Let l be w(2). Suppose -4*d - 3 = -7*d + 2*z, -l*d - 2*z = -2. Let p = -17.2 - 0.8. Is d equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73650 rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**2 - 5. Let x be o(-3). Suppose -5 = r - x*r. Is -0.2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39400032827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2 - 35\/10 - -163?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 8*l + 1 + 21*l - 6*l.\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + l**3 + 3*l**3)*(36*l**2 - 17*l**2 - 23*l**2) - 4*l**2 - 2*l**5 + 4*l**2 - 14*l**3 + l**5 + 14*l**3.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000063788236 to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214912 + -214698. Suppose 2*h + 3*f = 52, -2*f + 7 = -1. What is the least common multiple of y and h?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 19*k**2 + 19*k - 20. Let f be d(-20). Suppose 3*w - 2*w = f. Solve -3*o + 14 = 2*b, o - 3*b + 0*b + 10 = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101101101101010110 + -1001010?\nAnswer: -1000101101101110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -23. Let f be n\/(-11) - (184\/22)\/(-2). Factor -1\/3*s**f + 0*s + 0 + 2\/3*s**2 - 1\/3*s**3.\nAnswer: -s**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 952764, 952787, 952810, 952833?\n\"Answer: 23*a + 952741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126530025 is divided by 140?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 27456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7440.24 + -7264. What is p rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1074942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**2 + 46*j - 9*j - 1 - 38*j + 1.\nAnswer: 19*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -2.2\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 293*x**8\/28 + x**7\/42 - 407*x**4\/6 + 2*x - 129. What is the third derivative of s(c) wrt c?\nAnswer: 70320*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3914316 is divided by 1130?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/12 - c**2. Let k = 20 - 18. Let f(w) be the first derivative of 5*w**2\/2 - 1. Give k*f(t) - 6*b(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**3 + 223105*k**2 - 16087500*k + 88492140 = 0.\nAnswer: -44693, 6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -483, -484, -485, -486, -487?\n\"Answer: -b - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 56, 127, 230, 365, 532?\n\"Answer: 16*v**2 - 9*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-663)\/(-85) - 4\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.17 (b) 1.8 (c) 0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10765*q**2 - 21534*q**2 + 10767*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 21 = -z, -d + 3*z = 2*d + 27. Let s be (-34)\/d + 13\/78. Let q(n) = n**3 - 4*n**2 + 4*n + 1. Let y be q(s). Solve y = -0*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0.37, -0.2 in ascending order.\nAnswer: -0.2, 0.37, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 7, n: 2}. What is prob of sequence lg?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275713 and 10351.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -18a1533?\nAnswer: -18a1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -2, -7, 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4*n - 3710*i**3*n - 2*i**2 - 174*i*n + 23*n wrt i.\nAnswer: 24*i**2*n - 22260*i*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/(p*p**(-3\/17))*p**(3\/7)\/p**(-10) assuming p is positive.\nAnswer: p**(-404\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 630\/(-160) - (-20)\/(-320). Let r(y) = -25*y - 94. What is r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76393875 take away -0.17?\nAnswer: -76393874.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)*b*b**0*b**4*b\/b**(1\/4)*b**(2\/25)*b**(-4)\/((b*b**2)\/b*b) assuming b is positive.\nAnswer: b**(-517\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400641.\nAnswer: 11, 127331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 2. Calculate the greatest common divisor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -110373a?\nAnswer: 1103742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6426*c**2 - 12844*c**2 + 6419*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87593 - 87562. What is the remainder when d is divided by ((-1)\/(-2))\/(3\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*m - 523 = -70*m + 3502 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 237*x + 160. Let z be f(79). What is the greatest common divisor of z and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727789255 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(-4)\/3*(-36)\/120. Suppose -10 - 10 = 5*z, 2*f - 4 = -2*z. Let m be (1\/(-4))\/(3\/f) - 1. What is the second smallest value in -0.3, 0.4, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 169 = n, -5*n + 8*n = -p + 571. Let l = n - 25. Factor z**2 - z**2 - 167*z**5 + l*z**5 + 3*z**4.\nAnswer: -3*z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17534318 is divided by 6828.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 19 + 18 - 8*b - 18 - 2*b in the form x*b + v and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21995 is divided by 866.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -54f1ba (base 16) in base 11?\nAnswer: -3162554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456377 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 8*v**2 + 18*v - 82. What are the prime factors of p(8)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21562667429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 3. Let y be d(-2). Let p be 1941\/y - 2\/(-6). Suppose -8*x + p = -5*x. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 - 98*j**3\/5 - 230*j**2 + 250*j = 0 for j.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 4*y = 108, 4*y = 3*z + 316. Let k = z - -275\/3. Find the common denominator of k and (-67)\/9 - (-5)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 84 = 3*b, 0 = 6*b + w + 67 - 60 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/28451 or 6\/23?\nAnswer: -2\/28451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from epppstpwessppe.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 72, 128, 208, 312, 440, 592?\n\"Answer: 12*s**2 - 4*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*1 - 32\/(-8). Let a(s) = 3*s**2 + 33*s - 4. What is the tens digit of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.7, -5\/1394, 4, -0.47?\nAnswer: -5\/1394","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8930383, 8930386, 8930389?\n\"Answer: 3*a + 8930380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3604 or 3607?\nAnswer: 3607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + t - 3*t + (1 - 4 + 1)*(-t + 0*t - t) + t + 2*t - t + 4 - 4 - 3*t + (1 + 3 - 3)*(2*t - t + 0*t) - 2 - t + 2.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 11. Let i be n(7). List the prime factors of (2 - i)*(-36)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + 9.3. Let k = -30 - -22. Let c = k + r. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -32*l**3 + 40*l**2 - 257*l + 295. Let p(m) = 46*m**3 - 62*m**2 + 386*m - 442. Let b(v) = -10*n(v) - 7*p(v). Solve b(t) = 0.\nAnswer: 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -753 - -753.0762. Let h = -0.0355 + x. What is h rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -378. Suppose -8*v = -q + 73. Solve 3*m - 3*f - v = -3, 0 = m - 5*f - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 - -364. Is a greater than 29\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:27 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -22*l + 37. What is the third derivative of 4*n + 6*n - 4*n - l*n**2 - 4*n + 126*n**3 wrt n?\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5970.228ms?\nAnswer: 5.970228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 95.2347 decades?\nAnswer: 9.52347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842653454 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3576 divided by -596?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7589704 divided by -1?\nAnswer: 7589704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12101010200002 (base 3) to base 12\nAnswer: -b59232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128265 is divided by 128237?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + -3 - -16) + -76 + -4 + (2 - 10)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12591835.\nAnswer: 5, 2518367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8341, 33274, 74819, 132970, 207721, 299066, 406999, 531514?\n\"Answer: -y**3 + 8312*y**2 + 4*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w + 4. Let j = -334 + 342. What is the least common multiple of j and x(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 735 - 729. Solve -3*b - 4*c = -5*b + j, -b - c - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 2*q - 298 = 21*c, 1454 = 5*c - q. Is 58 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342\/1425791 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s - 3. Let w be l(-1). Solve -5*g = w, -p - 3*p = -3*g + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:10 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x - 2. Suppose -i - 41 = -v, -v + 31 = x*i - 5*i. Suppose 3*h - 5*y = v, 0*h - y - 12 = -h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 16. What is the derivative of 17*n**v + 0 + 5 - 10*n**4 wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 + -70 - (-1 + -8)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 6, 163, -0.0337?\nAnswer: -0.0337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)*b*b*b**(2\/7)*b**6\/b**(-8) assuming b is positive.\nAnswer: b**(463\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 6296355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35784 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -219 and -399.34.\nAnswer: -618.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 3*p - 2. Let s be o(-4). Suppose 0 = 3*l - l + s. Let x = -2 - l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:09 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.217 + 6.217. Which is smaller: -24\/17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 787846*d + 3939233. Give k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9\/45 + 2\/(-10) - -15 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 972 = -2*x. What is the lowest common multiple of x and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.86 + -10. Let j = v - 0.06. Let u = -95.1 + 94.7. Which is the second smallest value? (a) 2\/9 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.7 - 19. Let v = y + 1.2. Which is the closest to 2\/7? (a) -2\/3 (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*304\/(-2112) - (-1)\/(-4)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109 * 91.64.\nAnswer: -9988.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 1. Let v = -109 - -109.76. Let g = -5.24 - v. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577*q = -603*q + 68406. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 - 4 = -2*w, -4*g = 0. Let a be 1\/3 - (-16)\/w. Let u = -2 - -2. Put -5, a, u in descending order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 5, x: 1, u: 3}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 + 110?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u + 1. Give w(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 6. Let t(w) = 6*w - w - 17 + 5 + 6. Let z(r) = 7*f(r) - 6*t(r). Let l = -7 + 11. Determine z(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/571807754 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102122 + -2332302?\nAnswer: -3101030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.194 + 32.794. Let r = -22 + q. What is r rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:40 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9826542, -19653092, -29479644, -39306198?\n\"Answer: -c**2 - 9826547*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1339 and 49924.\nAnswer: 66848236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 45, 42, 31, 12, -15, -50?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.67 + -0.37. What is the smallest value in x, 4, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 8*g. Suppose -5*t = -n - 7, -2*n = -4*t - 0*n + 2. Suppose t*s - 6 - 12 = g. What is the greatest common divisor of s and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*d = -11, 0 = 2*o + 2*o - 4*d + 28. Is (2 + -1)\/(-6*o\/3600) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 23, 0.29, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(91\/(-7)))\/((-4)\/80)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2\/3*w**3 + 0*w + 0*w**2 - 70. Let v(k) = -43*k**2. Give t(v(z)).\nAnswer: -3698*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:49 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) -0.3 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -9b84897?\nAnswer: 9b8489a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + 18?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.059 - -4.059. Let o = -3.9 + n. Let c = 41.5 + -41. Put 4\/7, 13, o, c in ascending order.\nAnswer: o, c, 4\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197586.\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1740 and 915820.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.7. Let z = 0 - 0.2. Let p = -0.2 - z. Which is the third biggest value? (a) 2\/7 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnnfkqvvqfvvqnvf. Give prob of picking 2 v.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:28 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.1, 3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/334088 or 0?\nAnswer: 7\/334088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -14511901?\nAnswer: -5\/14511901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 + 5*v**3\/6 - 75*v. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -18. Let d = i - -17. What is the second derivative of 5*r + 2*r**2 - d*r - 3*r + 2*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1611219223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1448321 and 6?\nAnswer: 8689926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let l(m) = 2*m - 82*m**2 + 159*m**2 - 2*m. Give l(j(a)).\nAnswer: 308*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 2*u + 763*u**2 - 2*u + 6*u as d + n*u + x*u**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))\/t*t**(-5))**(-35)\/((t\/(t*t\/t**(2\/3))*t)**(-22\/7)\/((t**1*t)\/(t**(-1\/12)*t))) assuming t is positive.\nAnswer: t**(13987\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(2 + (-29)\/14). Let o be (-20)\/(-8)*(-7)\/(-175)*-5. Let d be (-2)\/(-15)*15\/(-9). What is the third biggest value in t, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 31934661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19752, 17409, 15066, 12723, 10380?\nAnswer: 8037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 10?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + 5*r - 11. Let y be a(-5). Solve y*c = 11*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 867*y + 394200 = 877*y. What are the prime factors of y?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61286 - -6128673\/100. What is the common denominator of -11\/80 and g?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98123.94 millimeters to centimeters.\nAnswer: 9812.394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/22146 and -20\/40601?\nAnswer: 243606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((95*11\/(-165))\/(30\/(-54)))\/(609\/290).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 109 + 31. Let n = -20 + b. What is the second derivative of -n*h - 2*h**2 + 7*h + 7*h wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253685 is divided by 1544.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 - z**2)*(-10 + 4*z**3 + 10 + (0 - 2*z + 0)*(3*z**2 + 2*z - 2*z)).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**2 + 1\/120*l**6 + 1\/2*l**3 - 1\/20*l**5 + 0 + 0*l - 1\/4*l**4. Let i be t(4). Put 3, i, -2 in increasing order.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4331274106?\nAnswer: 2, 73, 521, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165748 and 13474559.\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1860, -14575, -48986, -115941, -226288, -390875, -620550, -926161?\n\"Answer: -1808*a**3 - 59*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 671 - 531. Calculate the greatest common divisor of 100 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:30 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*m + 0*m**3 + 3583284*m**2 - 3583308*m**2 - 2*m**3 + m**4 to t*m**2 + d*m + h*m**4 + c + p*m**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 551*n**2\/3 + 538*n\/3 + 2200.\nAnswer: (n - 550)*(n - 4)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppputpbtpppppuhtu. Give prob of picking 3 u.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 3*n**5\/20 + n**4\/2 + n. Determine c, given that v(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 9 - 3. Suppose -2*u - 4*n - 1 - 5 = 0, 3 = 4*u + 3*n. Is (i\/(-20))\/(u\/(-75)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/84 - l**6\/30 + l**4\/12 + l**3\/12 - 6*l. Factor z(n).\nAnswer: -n*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 367, 865, 1563?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a24 (base 12) to base 14.\nAnswer: -25d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 464?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 11:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075480490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/8*-4*1. Let p(h) be the third derivative of -h**5\/60 + h**4\/8 + h**3\/3 + 9*h**2. Calculate p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 418*d**2 - 418*d**2 + 894*d + 428*d**5 - 4047*d wrt d.\nAnswer: 8560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.31 + -0.31. Let f = 30 - o. Let t = -7.9 + f. What is the nearest to -0.2 in 3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.18, 0.6, 0.2, -0.5, -28 in descending order.\nAnswer: 0.6, 0.2, 0.18, -0.5, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745252917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let a be ((-1)\/(-3))\/((-1)\/(-9)). Let k = 8 + -6. Let o(l) = 3*l**2 - 5*l**2 - a*l**k. Calculate r(o(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(2448) + -2)**2 + 2 - (-3*sqrt(2448)*3 + sqrt(2448) + 3)*6.\nAnswer: 528*sqrt(17) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 336*v. Let u(t) be the second derivative of t**3\/3 + 1583*t. Give u(d(o)).\nAnswer: -2*o**2 - 672*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 145, 7, -4\/7, -0.2, -3 in descending order.\nAnswer: 145, 7, 0.18, -0.2, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmah when four letters picked without replacement from mgahxwa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from avzunzzzznzzza?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -4.1.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - 34 - (103 + 18)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95 + 95 - 82*x**2)*(-2*x + 0 + 0)*(3 - 3 + 3) to n*x + a + l*x**3 + s*x**2 and give l.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31311 + 32?\nAnswer: -31213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z. Let s(w) = 304*w + 10 - 364*w - 10. Calculate u(s(q)).\nAnswer: 1140*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 11*d + 31. Let k be p(-3). What is the third smallest value in k, -0.2, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*f = -0*f - 1295, -6370 = -5*z + 4*f. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14784880 + 3?\nAnswer: -14784876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + (9 - 2) + -1. Let t = 8 + -4. Let r = -1 - -1. What is the closest to r in -0.2, t, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359 in 5, -4\/73, 1?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 4*y + 2*y)*(1 - 2 + 2) + (-2*y - 5*y + y)*(4 - 1 - 2) + y + 0*y + y to the form d*y + t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*m**5 + 36*m + 4.\nAnswer: 5060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 6. Let w be o(5). Let y be w - ((-8 - -1) + 1). Suppose -4 = y*u + a, 0 = -0*u + 3*u + a + 4. What is the third biggest value in -0.3, 1\/3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 8*t - 10. Suppose w - 2*u = 0, -4*w + u + 2*u - 20 = 0. Give g(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442943341 to the power of 1\/3, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -12, -17\/5, -2\/191, 1\/2 in descending order.\nAnswer: 5, 1\/2, -2\/191, -17\/5, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31603 is divided by 1139.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68539.\nAnswer: 68539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6208986, 6208980, 6208974, 6208968, 6208962?\nAnswer: 6208956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43323?\nAnswer: 3, 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1655 less than 168797?\nAnswer: 168755.8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-3)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2057)*-2 + 5).\nAnswer: -20 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20882 and 8374?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 2, f: 6, u: 7, l: 2, k: 1}. Give prob of sequence kvv.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 - ((-6 - 0) + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*1*(-11)\/165?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 14. Calculate the remainder when 65 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 - 296.\nAnswer: -296.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c - 54 - 31 + 16 - 39. Let f be z(9). Does 1\/200 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*q + 353*q - 4469 = -35216 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782834.\nAnswer: 2, 11, 171947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 2*c - 10. Let j(k) = -k**3 + k - 1. Let u(g) = -j(g) + p(g). Determine u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265 is divided by 716.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9) + ((-32)\/(-15))\/(-8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urreuuprusserreu. Give prob of picking 1 p and 1 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b - 1. Let y(a) = 20*a + 5. Let f(d) = 6*y(d) + 25*z(d). Suppose 1 = -3*p - 2*j, -5 = 3*p - 2*j - 0*j. Let i(h) = h - 1. What is p*f(t) - 6*i(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 466 = 182. Find the second derivative of -8*h - 284*h**2 - 3*h**4 + l*h**2 wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 2004*p**2 - 8100*p - 10100.\nAnswer: 4*(p - 5)*(p + 1)*(p + 505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4955 times -3?\nAnswer: -14865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let j be p(1). Let n = 4 - j. Put 1, 4, n in descending order.\nAnswer: 4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25841064 divided by -122\nAnswer: -211812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 28*y + 52.\nAnswer: (y - 26)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*x - 5 = 0, -j - 2*x = -3*j + 16. Let q = 10 + 6. What is the second derivative of -24*m**3 + m + 3*m + q*m**j + m wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((49059\/161)\/27)\/((77\/(-11))\/(-49))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 49*q + 359. Is 107 a factor of o(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.5. Let p be (9 - 290\/30) + (-20)\/(-3). Let v be p + (-1 - 0) + -4. Sort v, -8, -1, y.\nAnswer: -8, -1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.98555 months in decades?\nAnswer: 1.01654625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.282406491 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 - 2*r**4 - r**4)*(-204 - 18 - 210).\nAnswer: -432*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 11*v**2 + 1. Let b = -214 - -213. Let c(j) = -2*j**3 + 4*j + 3. Let o be c(b). What is g(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14730252 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*r**5 - r**3 - 14*r**3 + 33*r**5)*(1 - 3 + 0) + (-3*r**3 + 0*r + 0*r)*(-2*r**2 - 2*r**2 + 2*r**2).\nAnswer: -2*r**5 + 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -1339, -3031, -5399, -8443, -12163?\nAnswer: -16559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-220)\/132)\/(2\/6). What is the closest to 2\/7 in -1, o, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3736*z**3 + 8*z**2 + 6*z - 1480326 wrt z.\nAnswer: -22416*z + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9582 + 9615. Solve -38*k - 2*g = -b*k - 8, -6 = -5*k - 4*g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 5) to base 8\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y. Let n(p) = 6*p**2 + 3*p. Calculate 2*a(x) + n(x).\nAnswer: 4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 3*n**3 + 3 + 0*n**2 - 2. Let t = 9 - 10. Let w = t + 2. Calculate l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let y(o) be the first derivative of 0*o + 1\/2*o**2 + 5. Determine f(y(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 8, 19, 36?\n\"Answer: 3*d**2 - 4*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1146 or 1144?\nAnswer: 1146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffil when four letters picked without replacement from ffkrikil?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 9 + (-2)\/(-1). Let b(j) = -2*j**2 + 4*j + 1. What is b(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:47 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 24700 = 0. Let r = i - 89057\/18. Find the common denominator of r and -93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-340)\/(-30) + (-4)\/(-6). Suppose 3*h + f - 60 = 0. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 60452835.\nAnswer: -4\/60452835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a - 2*a + 135. Suppose 6627 = a*y + 1776. What is y rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**5\/150 + 7*l**4\/20 - 4*l**3\/3 - l**2\/2 - 65*l - 139. Let d(s) be the second derivative of r(s). Factor d(n).\nAnswer: -2*(n - 20)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1892242 greater than -1892238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15159 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*t - t + 8765, -3*u + 5*t + 6552 = 0. Suppose -3*x + 4*d - 639 = -2836, -3*x + 2*d + u = 0. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 + k - 2. Suppose -l - 10 = -5*f - 6*l, 4*l = 2*f + 2. Suppose j + 6 = -w, 5*j - f + 25 = -2*w. Determine i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 165. Find the common denominator of 154\/(-16) - (-4)\/(-64)*12 and m\/(-42) - (-2)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1047 = 12*r - 249. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.4, 4\/3, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-1 + 4) + -41. Let z = -38 - l. Let b(g) = g + 7. Let x(f) = -1. Let y(a) = z*b(a) - 3*x(a). Give y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(6\/36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/(-9) + 1\/(-3). Let t = i + 18. Let g be (55\/(-22) + 4)*224\/6. What is the highest common divisor of g and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -84*p + 21. Let b(j) = 15*j**2. What is x(b(h))?\nAnswer: -1260*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljx when three letters picked without replacement from dxxjjl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3041881 by -53.\nAnswer: -3041881\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6795 = 6793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 1 t when three letters picked without replacement from {q: 2, w: 1, t: 2, f: 2, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7 - g + 2*g - 1 + 0. Suppose 0 = 8*x - 3*x. Does 3 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3*h**2\/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -23, -68, -165, -332?\n\"Answer: -3*m**3 + m**2 + 7*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -7*o**2\/2 + 4*o - 53. Suppose -42 = 5*v - 2. Does 23 divide c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12220723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5847 + -2262791\/387. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 - 186.6. Put h, 2, 0 in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - 29.2. Let l be (-2 + 4)*((-2065)\/20 + -1). Let y = l - -207. What is the nearest to -2\/3 in s, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(5 + 48\/(-18)). Let h(w) = -w**3 + 27*w**2 + 33*w - 101. Suppose 40 = -0*r + 2*r. Calculate the remainder when h(k) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1950 = -135. Find the common denominator of 0 - 1*y\/30 and 37\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 865515 and 1.4?\nAnswer: 1211721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/2 - ((-936)\/(-30))\/(-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2089)\/(-24) - -5*(-4)\/30. Let m = q + -86. Find the common denominator of 91\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3447 divided by 3447?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u + 0*u**2 - 3\/4*u**4 - 2 - u**3. Find the third derivative of m(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16695, 16695, 16697, 16701?\n\"Answer: b**2 - 3*b + 16697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/20 + b**4\/6 - 7*b**2\/2 - 5*b. Let u(c) be the first derivative of j(c). Find the second derivative of u(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, -15, 5, -156, 4.\nAnswer: -320, -156, -15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 2*l. Let k(g) = -2*g - 455*g**2 + 2*g + 463*g**2. Determine v(k(b)).\nAnswer: 320*b**4 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 8*v + 16, 79 = 5*w - v. Solve w = 3*h + 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64213?\nAnswer: 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284970 is divided by 13538?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(-3)*62*246\/193192?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2435 - -2435.3. What is the nearest to 0 in v, 318, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29028309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - g = -2*g + 4, -p - 16 = -4*g. Find the third derivative of p*m**2 - 131*m**4 + 158*m**4 - m**2 + 8*m**2 wrt m.\nAnswer: 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/4664)\/(60*21\/3024)\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 + 8*q**2 - 6*q + 6. Let p(l) = l**3 - l**2 + l - 1. Let t be (-18)\/8*(-32)\/(-12). Let o(d) = t*p(d) - z(d). Factor o(i).\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269.01 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230704?\nAnswer: 2, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28178507 to the power of 1\/2, to the nearest integer?\nAnswer: 5308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g + 2. Let q(k) = -2*k**2 - 2*k + 2. Let y(i) = -3*q(i) + 4*u(i). Let m be y(-5). Let v = 24 + m. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t - 15. Let u(k) = 6*k - 15. Let y(h) = -5*u(h) + 4*w(h). Let d be y(-9). Differentiate -300 + d*m + m + 150 + 131 wrt m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1125\/(-20))\/9)\/((-1)\/4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3214 + 11155 - 56*k**2 + 58*k**2 to l*k + s + z*k**2 and give s.\nAnswer: 14369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0275 - 378.0275. Let r = -358.9 - l. Let q = r + -18.997. Round q to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192569965 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (195 + 1)\/(1 + 1). Suppose -10 = -3*j + m. Is 25 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 10096\nAnswer: 15\/10096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*u + 22 = 0, 4*p + 0*u = -2*u. Let q be (-6)\/p*(-4)\/4. Suppose -4*z + 2 = -d + q*d, -4*z + d = -17. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046060 rounded to the nearest ten thousand?\nAnswer: -2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48040340 is divided by 235.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-35))\/((-4)\/3)*4. Let t = -18 + 18. Which is the fourth biggest value? (a) t (b) x (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13425656?\nAnswer: 2, 1678207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 9747 + 2454 = 0. Let h = -299 + j. Let o = -5 - -15. What is the highest common factor of o and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 21*y**2 + y - 13. Give b(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 52*w**2 - 48*w + 1260. Calculate v(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqnnjuxxxuxqqjqnuqq. What is prob of sequence nxj?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -935*s + 1 - 414*s + 418*s - 553*s to the form u*s + d and give u.\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 18225784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 25. Let j be w(5). Suppose 3*t - 269 - 427 = j. Calculate the greatest common factor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 4.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.16 - -2.66. Let g = 1 + -2. Let i = 4463 + -4465. What is the nearest to g in -3, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13203 - 13178.086. Let m = -0.974 + c. What is m rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4997806.\nAnswer: 999561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 4*t**2 + 7. What is the tens digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1177, 457, 4897, 13547, 27811, 49093, 78797, 118327?\n\"Answer: 234*m**3 - m**2 - m - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204256121 (base 7) in base 5?\nAnswer: 11041013224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/(-16)*-2*12. Let a(x) = 0*x**2 - 3*x**2 - 3*x**2 + 2. Let k(b) = 4*b**2 + 3*b**2 + 2 - 4 - 2*b**2. Calculate u*a(r) - 4*k(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - -2) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.15, -1590, 5, 0, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -76, 32, -10?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.56 + 2.86. Sort 4, l, 2\/9, -0.5 in descending order.\nAnswer: 4, 2\/9, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d**3 - 7*d + 7*d)*(0 + 7 - 4 - 3 - 1 + 2 + (-2 + 2 + 2)*(2 + 2 - 3)) to the form r*d + f*d**2 + o + t*d**3 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4)\/k*k*k\/k**10)**(-37)\/((k**0*(k*k\/(k\/(k*(k\/(k\/(k\/k**2*k)*k))\/k)))\/k)\/(k**(-2))**(-3)) assuming k is positive.\nAnswer: k**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 12*h + 3. Let m = 61 + -73. Let f be c(m). Solve -5*q + n = 25, f*n - 5*n - 10 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z - 2*r + 1, -4*z + 4 = -5*r. Let q be 60\/(-25)*-25*z. Let s = -33 + q. What is the least common multiple of 15 and s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 4. Let c be p(-6). Let s be (-32)\/(-22)*(0 - (0 + -1)). Do s and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -112.1?\nAnswer: 107.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/14 - 3769*-1*9\/2142. Do 15 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/7 - (-1 - -2). Let a be (-16)\/24*9\/g + 12. Solve 2*o + 1 = j, 4*j + a = 3*o + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*r*v**3 - 36923*r*v**2 + 20*r*v - 1857962*r - 44*v**4 wrt v.\nAnswer: 192*r*v - 73846*r - 528*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*6*sqrt(2106))\/(-6*sqrt(96)\/sqrt(12)))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17546650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/8 + 3313569*n - 7319826345174.\nAnswer: -3*(n - 4418092)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 68\/11 + -3. Let s = -1752 + 1754. Which is the closest to -0.1? (a) s (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-77*(-420)\/(-294))\/(-12).\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -680 in -0.193, 3\/5, 4\/11?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10731\/4 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*u**2*w**3 + 8*u**2*w - 915*u*w - w**3 wrt u.\nAnswer: -150*w**3 + 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5402 is divided by 2651.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:47 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*f = 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64 - -7004b2?\nAnswer: 70044a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-15 + 7 - (-3 - 1))) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*h + 17, l - 24 = 5*l - 5*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:14 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1262 divide 6535461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 - 8 = 0, -4*x - 4*i + 16 = 0. Let q(s) be the third derivative of x*s + 0 + 1\/30*s**5 + 1\/6*s**4 + 0*s**3 + 18*s**2. What is q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:49 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1\/1485, 0.07, -0.5?\nAnswer: -1\/1485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, 7.34, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7305942?\nAnswer: 2, 3, 7, 197, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-2 - -3))\/(-2). Suppose -4*j - j = -5. Let w = -211 + 223. Sort a, j, w.\nAnswer: a, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -44. What is the common denominator of 89\/12 and (-50)\/(-125)*u\/(-16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331794, -664946, -998100, -1331256, -1664414, -1997574?\nAnswer: -2330736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36928 and 8?\nAnswer: 36928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 12*j**2 + 14*j - 25. Let t be r(11). Let d be 4\/t + 18\/4. Solve -3*i + y = 4*y + 6, d*y = 2*i - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.9 - -51.86. Is g >= 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x + 0*x**3 + 9*x**2 - 2*x**2 + 5. Suppose 205*f + 39 = 218*f. Let c be (-8 - -20)\/(f\/(-1) + 5). Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -29.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {e: 1, n: 12, f: 1, l: 1, t: 1, h: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = 4*c - 2085, -4*c - w = -2055. Suppose 5*v - 545 = -l, 6*v + c = 11*v - 5*l. Calculate the greatest common factor of 72 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - q + 3. Let u be n(4). Suppose -u = -4*b - b. Suppose 0 = -b*p + p. Solve 5*y - 9 = z - p*y, 0 = 5*z + 2*y - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/490 - f**6\/56 - 2*f**5\/35 - f**4\/14 + 5*f**2. Factor g(h).\nAnswer: -3*h*(h + 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -78*w + 1009. Is 9 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228*n**3 + 296 wrt n.\nAnswer: -684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10 + 25. Let d(c) = c**3 - 6*c**2 - 6*c - 7. Let l be d(7). Suppose 2 + l = s. What is the remainder when n is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 37*j**3 + 3*j**4 + 5*j**2 - 39*j**3 + 0*j**4 as h*j + o*j**2 + l*j**4 + y*j**3 + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/12 - 35*l**3\/6 + l**2 + 7*l + 5. What is the second derivative of v(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 14472798.\nAnswer: 43418394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/187 + 741\/1309. Let x be ((-19)\/6 - -3)*-10. Sort 0.4, x, -3, h.\nAnswer: -3, 0.4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1638 + -917. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 356 = -6*n. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -49*r**2. Let a(j) = 442*j - 765. Let x be a(2). Let w(o) = -980*o**2. Calculate x*m(c) - 6*w(c).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.36014g in nanograms?\nAnswer: 85360140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 110492 = 60663. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-70))\/(77\/330)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/15 - (-44)\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let x(k) = -82*k + 17508. Give x(t(f)).\nAnswer: 82*f**2 + 17508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-141)\/5 + (-2)\/(-10). Let x(w) = 2*w**2 + 3*w. Let s(p) be the third derivative of -p**5\/6 - 7*p**4\/12 - 23*p**2. Determine o*x(z) - 6*s(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -113. What is the highest common factor of 170 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121220 (base 3) to base 14.\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 7, -1, 0.05, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**2*v**2 + j**2 + 13251*j + 2319*v**2 wrt v?\nAnswer: 12*j**2*v + 4638*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-36) - (-47)\/9. Calculate the smallest common multiple of 18 and 4\/(-5) + 34\/n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence did when three letters picked without replacement from dddddideddddddd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 23940?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1970 + 9?\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 26651?\nAnswer: 26660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 14*p**2 - p. Let g be q(3). Calculate the greatest common divisor of g and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - (-130)\/14. Suppose 148 = 2*s + 8. Suppose -d + s = 13*d. Solve -j = o - c, 19 = d*j + 4*o - 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/21 - (-272)\/3. Let o = 193 - q. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = 2*i - 8, -5*t = -i + 14. Let n be (-2 - -4)\/(11 - 10) - (-6 - 50). What is the units digit of n - (6 + t + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*n + 2*z + 225, 0 = 4*n - 2*z - 160. Let o be (-2)\/(-1 - ((-165)\/39)\/5). What is the highest common factor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -643, -967, -1293?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8295 is divided by 467?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 1137052*a**3 + 9*a**2 - 1137057*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + 1392\/28. Let p(x) = -x**3 - 30. Let r be p(0). Let w be 7\/(-21)*(r - 0). What is the greatest common divisor of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -83*x + 85*x, 4*i = -x + 24. Solve -4\/3*l + 35\/3*l**i + 0 - 4*l**2 + 59\/3*l**3 + 34*l**4 = 0.\nAnswer: -2, -1, -1\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329375085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(38\/(-52) + 3\/6). Let x be (g\/(130\/4))\/((-2)\/(-59700)). What is x rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -3462a5?\nAnswer: 346306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2509.58 millennia to years.\nAnswer: 2509580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:22 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -190, -293, -386, -463, -518?\n\"Answer: f**3 - f**2 - 107*f - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 3\/2)*-8. Let z(o) = 42*o**2 + o**3 - 2*o - 3 + 0*o - 45*o**2. Let f be z(t). Put -0.3, f, -2 in descending order.\nAnswer: f, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14875*f - 4*f**2 - 14875*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21935930.\nAnswer: 2, 5, 79, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26990 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l**2 - 3 + 3)*(0 - 1 + 0) - 6 - 7 + 15 - 24*l**2)*(-2*l - l - 2*l).\nAnswer: 115*l**3 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 3 + 5*m - 1)*(77*m - 34*m + 53*m).\nAnswer: 864*m**2 + 192*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5438 or -5274?\nAnswer: -5274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-106)\/492 + 4*10\/240. Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/12 + 2*n**3\/3 + 2*n**2 - n + 3. Let x(r) be the first derivative of s(r). What is x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*b + 1117 = 1121, 3*b - 2 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -626978\/9 - -69874. Let q = -210 + b. Let t = -0.43 - 0.07. What is the fourth biggest value in 1\/4, t, 1.5, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158.005 - -163.00504. Let h = -12 - -17. Let q = h - y. What is q rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.57, 0.4, 20140, 3 in decreasing order.\nAnswer: 20140, 3, 0.4, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 238117?\nAnswer: -238111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s - 25 = 0. Let u = 12 - s. Let b(l) = 11*l + 5. What is the remainder when b(4) is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + 1232\/48)\/(4\/66)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + b + 114, -5*b - 72 + 8 = -2*a. What is the highest common factor of 66 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-141)\/15 - 9\/15. Let b(j) = j**3 + 11*j**2 + 7*j - 8. Is b(i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(4\/11)*g*(g\/g**(-4)*g)\/g)\/(g**(1\/3)\/g*g*g**3*g))**(-10\/13))**(-1) assuming g is positive.\nAnswer: g**(1090\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 85764*o**3 + 581632788*o**2 + 1001779961900*o - 1678056877489128.\nAnswer: 4*(o - 1002)*(o + 7481)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*k**2 - 6*k - 146*k**2 + 7 - 23.\nAnswer: 5*k**2 - 6*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + 15 + -3 + 1 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from vmmmmmimmmvmimm.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2112799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 16. Let a be x(-7). Suppose c = a*o - 2 - 99, 0 = -3*o - 2*c + 58. Calculate the lowest common multiple of 75\/o + (-3)\/(-12) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21612 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 9*s - 24. Let i be m(-16). What is the greatest common factor of 602 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2850 divide 380392350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6066 (base 7) to base 2.\nAnswer: -100000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3 - j**3 + 5 - 19 + j**2 + 5 + 5*j. Let g be h(2). Solve k + 3 = -g*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 86004303.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7332 and 180981396.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 261007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 682\/20 - 40\/400. Is (-14)\/(-2) - (-563 + x) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x**2 - 9*x**2 + 7*x**3)*(14*x - 8 + 19*x + 20*x - 27*x) as i*x**4 + g*x**3 + u*x**2 + f + d*x and give i.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 - 96 = -2*g - 21*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + 3*w)*(25 - 16 + 33).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - v - 271 = 0, -4*l - 4*v + 214 = -2*v. What is the second derivative of 34*h + 2*h**4 + 6*h**4 - l*h wrt h?\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -3.2. Let j = o + -2.74. Let r = -0.2600011 + j. What is r rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/(-8))\/(9*(-2)\/2616)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7528 + -7534. Sort -160, 2, y in decreasing order.\nAnswer: 2, y, -160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/9 + 2*n**4\/3 - 14*n**3\/9 - 10*n**2\/3 + 4*n = 0. What is n?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -328*s**2 + 37*s + 7078. Let b(l) = -109*l**2 + 11*l + 2360. Let f(r) = 7*b(r) - 2*g(r). Differentiate f(q) with respect to q.\nAnswer: -214*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 + 66*b**5 - 5*b**2 - 11*b.\nAnswer: 360*b**3 + 3960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 180*x**3 - 39*x**2 + 91*x - 20. Determine l(2).\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -11, 4.\nAnswer: -125, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 2. Suppose -1 + 16 = 2*y - 5*u, 12 = -2*y - 4*u. Let f(g) = -1 + y + 13*g - 2 - 14*g. Determine 4*f(a) + 6*k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401190 rounded to the nearest 10000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*u + 7*m + 510, 4*m = 5*u - 1272. Let s = 1 - -5. Suppose -s*i + u = -3*i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.4157.\nAnswer: -0.5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102157018.\nAnswer: 2, 51078509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.400831\nAnswer: -1.599169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2947.702 litres?\nAnswer: 2947702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 187801, 187802, 187805, 187810, 187817?\n\"Answer: q**2 - 2*q + 187802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13*(-6)\/(-4)*-2. Let d(p) = 2*p**3 + 2*p**2 - 5*p - 6. Let m be d(-3). Let w = z + m. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274190480 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - f**2 - 5*f**2. Let n(j) = -4*j - 6. Let z(o) = 11*o + 17. Let g(b) = -17*n(b) - 6*z(b). What is g(r(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 68903 = 4*t, 55843 = 4*j - t - 36045. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 36 = -18*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/440 and -5\/66.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - s**2. Let a be v(1). Let i be ((-2)\/5)\/(a\/(-170)). Suppose b = -2*o + 43, b = -4*o + i + 23. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/4 + 23*l**3\/3 + 23*l**2\/2 + 26*l - 1560. Calculate p(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4730882 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2696*u**2 + 1. Let k(x) = 20338*x. Give k(c(g)).\nAnswer: 54831248*g**2 + 20338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17130104 to the power of 1\/2, to the nearest integer?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 714092384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 1790*w**2 + 37419*w - 128376.\nAnswer: (w - 3)*(w + 24)*(w + 5349)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-9))\/q)\/q**(6\/11) assuming q is positive.\nAnswer: q**(93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 413055 divided by 67\nAnswer: 6165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 48\/15)*5. Let h = -167.019 - -167. Which is the second smallest value? (a) w (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 25) + 0 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (968\/33)\/22*9\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 128572482.\nAnswer: 128572486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 - 9 = 0. Let q(r) = r**2 - 7*r + 8. Let l be q(h). Suppose -5*c + 5*i = -1100, -l*i + 1 = -1. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59110 times 28.7?\nAnswer: -1696457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/17248 and 29\/7.\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46\/19 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-549 + 1137 - 558)*(-3*n**4 + n**4 + 4*n**4) + (5*n**2 - 5*n**2 - 2*n**3)*(n + 0*n + n) + 2*n**4 + 2*n**4 - 6*n**4.\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*w - 51. What is the remainder when 89 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628065201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (14 - 9 - -8061)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - -1) + 0 + (-23)\/(-3) + 75\/(-45).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1575925748 or -1575925750?\nAnswer: -1575925750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*6\/50 + 5\/((-75)\/(-156))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7410 - 7407. Solve f - 3*c + 6 = -11, 0 = v*c - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:03 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1324355 hours in minutes?\nAnswer: 7.94613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2751 and 4192?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3085 and 49977?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*w - 3*w - 255 = 0, 4*m - w - 195 = 0. Suppose 8*a - m = 7*a. What is the remainder when 65 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149581\/380100 + -1\/5068. Find the common denominator of -71\/9 and z.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 13*v - 52. Determine u(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -114*s**2. Let x(u) = -u. What is f(x(i))?\nAnswer: -114*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 5, f: 1, t: 1, s: 1, z: 1}. Give prob of picking 1 f, 1 l, 1 z, and 1 s.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16811 - 16652. Calculate the highest common divisor of 10229 and u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/12 - 45*z**2. Let k(q) = 5*q. Let n(d) = -21*g(d) - 6*k(d). Let s(b) = 18*b**2. What is s(n(p))?\nAnswer: 2592*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 - 5*i**2\/2 + i - 540. Let c(l) = 2*l**2 + 4*l - 1. Give -3*c(w) - 2*v(w).\nAnswer: -2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5882 and 132130307?\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -11 - ((-1 - 1) + 100 + -98).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.7 (b) -3\/5 (c) 2 (d) 2\/467 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s - 60. Let z be (-1)\/(-3 - (-33)\/s). Suppose z*h + 2*b + 22 = 0, b + 4*b = h - 11. Sort h, 3, 4 in ascending order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238113?\nAnswer: 23, 53831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 - 143 = -2*h, 10 + 3 = x - 6*h for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 divided by -1216?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:10 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j**(-17)\/j))\/j))\/j)\/j**(-25)*(j**(-19))**(-5\/21) assuming j is positive.\nAnswer: j**(242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475484 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123\/13 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 9. Let f be m(-3). Suppose -f*p + 1134 = -0*p. Suppose 4*t - p = 131. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.11 (b) 5.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p. Suppose 3*l = -w + 114, -2*w = -p*l + 3*l - 117. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 20*t**2 - 16*t + 35. Let x be n(-17). Suppose -5*m + 2126 = i, i + 4*m = x + 949. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -223*z + 597*z - 361*z. Let n(q) = 2*q**2 - 5*q + 5. Let y(l) = -l**2 - l + 1. Let a(p) = -n(p) + 5*y(p). Calculate c(a(i)).\nAnswer: -91*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.6 + 4.4. Let y = 42 - u. Let v = -104 + 104.2. Which is the second biggest value? (a) y (b) -0.2 (c) 0.4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 9. Let p be v(-1). What is the greatest common divisor of p and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2915 and 143\/85330.\nAnswer: 938630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 + 5. Let i be j(0). Suppose 5*p = -22 - 3, 0 = i*x - p. What is the closest to x in -3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 + 4 = 0. Suppose -33 = -w - t*w. Let d be w\/4 + 2\/8. Solve 4*l - 4*v = 36, -d*l - v - 5 = -16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - p**3 + 45*p**2 - 72*p**2 - 2 + 28*p**2 - 6*p to n*p**4 + a*p**2 + i*p + h*p**3 + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*t - 58*t - 61*t - 62*t - 71*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 4\/11 (c) -4 (d) -0.24 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*d = -36, 4*b + 2*d - 44 = -3*d. Let x(l) = -l**3 + l - 6*l**2 - 1 + 2*l**3 - 2. Is x(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 74, -2, 3, 2, -4, 4 in decreasing order.\nAnswer: 74, 4, 3, 2, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -481, 4, 1\/13?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708754603 to the power of 1\/2, to the nearest integer?\nAnswer: 68620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2, -2\/11, -123\/16 in increasing order.\nAnswer: -123\/16, -2\/11, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6 - 160*m**5 - 5*m**3 - 5*m**2 - 114*m + 5.\nAnswer: -360*m**3 - 9600*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/11*(55\/(-33))\/(15\/234)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + -66. Let s = -123 - n. Let i = -18 + 25. Solve -t = -r + 5, -4*t - i = s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/11 - -16\/33. Which is the third smallest value? (a) r (b) -1 (c) 14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let w(c) = 8 - 9 + 0*c + 15 + c. Let v be w(-12). Let t(x) = x**2 + 2*x**v - 5*x**2 + x**2. Determine t(j(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.68 + -55.68. What is the fifth smallest value in -0.3, -4, y, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 + 3. Suppose -35 = -3*x - 2*x. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.047 - -0.085. Let o = c - 1.038. What is the nearest to o in -2\/7, 1, 11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3402.2 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2301*b**2*w**2 + 2115*b**2*w - 21*b**2 - 195*b*w**2 - 2*b*w + 3*b + 7*w**2 + 11*w wrt w?\nAnswer: -4602*b**2 - 390*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538 divided by -269.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 4. Let k be g(-2). Let m = -536 - -536. Solve m = 8*q - 9*q - k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 - 3) + -2 + 2. Suppose 194 = -2*h + 4*h + 2*t, 2*h - 2*t - 202 = x. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14451, -14457, -14475, -14511, -14571, -14661, -14787, -14955?\n\"Answer: -i**3 + i - 14451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 29*m**3 - 61*m**3)*(0*m + 0*m - m**2) + (-m**2 + 0*m**2 + 2*m**2)*(-6*m**3 + m**3 + 3*m**3).\nAnswer: 86*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 2*r**2 + r + 177. Is u(0) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.5 (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63690877.\nAnswer: 63690877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - 6 - (11 - -4 - 5 - -3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or -8\/13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13195?\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*s**4 + 123*s**2 - 31*s**3 + 5*s**3 + 149*s**4 wrt s.\nAnswer: -24*s - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9374421 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/5)\/(2\/(-5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50262279.\nAnswer: 3, 16754093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d - 12. What is the remainder when q(6) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:22 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*o + 100*o + 9*o**2 - 41*o**2 in the form g*o + u*o**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3594209, -14376831, -32347867, -57507317?\n\"Answer: -3594207*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*u**4 - 5287784*u**2 + 68757653*u + 1?\nAnswer: -72*u**2 - 10575568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 15*g**2 - 39*g + 15. Suppose 62 = 7*c - 2*c - 4*l, -4*c = -5*l - 55. Let h = c - 27. Does 19 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1984426 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614 = 4*p - 110. Let z = 288 + p. Suppose -23*y = -20*y - z. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8001\/335 + -48\/67. Let p be 15638\/(-21)*2\/60. Let w = p - j. Is 1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14513 divided by -631\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.8 - 1.8. Let p = i - 18.05. Let q be (-4)\/8 + (-1)\/6. Sort q, 2\/5, p.\nAnswer: q, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from mpggpdmw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let y(j) = 5*j - 38. Let h(d) = -4*d + 24. Let c(u) = -5*h(u) - 3*y(u). What is -c(g) + 6*r(g)?\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 3*w**2 - 83*w + 56. Let x be v(-11). Which is bigger: 1\/4083 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 28?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + 12. Let v = n + -86. Which is the closest to v? (a) 2.9 (b) 1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.00731887 to three decimal places.\nAnswer: 14.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:54 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17897155, 35794311, 53691467, 71588623?\n\"Answer: 17897156*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.1. Let i = u - 1.9. Let y be 1\/(-3)*0 + (-84)\/56. Which is the closest to -1? (a) y (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18\/5, 1, -4, -487?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491150.\nAnswer: 2, 5, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3.9\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-12)*(-216)\/(-2). Let f be (-12)\/s - 35\/(-12). Solve -f*u + 12 = -5*t, 5*u - 20 = -t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2\/2 + 2*b - 12. Calculate the remainder when -3 + (2 - (-16)\/4) is divided by r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43062 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 408\/17)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 41. Let w be (k\/(-4))\/(2\/(-8)). Suppose -2*l - 4*q = -94, 0 = -w*l - q - 30 + 274. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*c - 131*c + 231 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(361573*o**3 + 18*o**2 + 9*o - 361801*o**3 - 14*o**2) in the form y*o**2 + a*o + z + i*o**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**3\/3 - a**2\/2 - 20*a. Calculate v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231375288 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*i - 12125 + 5729 - 6246 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*i*n**3 + 2*h**3*n**3*u - h**2*i*u + 2*h**2*n**2*u - 2*h*i - 2*h*n**2 - 39*i*n**3*u wrt h.\nAnswer: -36*i*n**3 + 12*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 10296 - 10376 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 2153928.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 4*c = -6*c + 4775, -2*c + 1370 = -2*f. Let k = f + 685. Solve 4*j + 11 = -9, k*y + 5*j = -45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1151903\/568 + -2028. Let y = -1991\/1704 - j. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 575 + -590. Do -128\/9 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/18*(95\/5 + -13).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3500261412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 431957 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12350 - 10442?\nAnswer: -23232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*y - 68019 - 174*y + 68019 + 17*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12*(-5 + 1). Let b = k + -2. Let a be b*15*(-6)\/(-15). Are -6 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(4 + -1 - 2). Let z(i) = -4*i - 5. Let h be z(g). Solve 4*q - 3 = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925925.\nAnswer: 5, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/2477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25356 - -25356.4. Which is the fourth smallest value? (a) -12 (b) -3 (c) -11.9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((-1*sqrt(20))\/sqrt(2) - sqrt(10)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*z - 36, -4*z + 5*z = 4. Let t(o) = o**2 + 11*o - 6. Let f be t(-11). Find the common denominator of 10\/9 and (-118)\/x + (1 - (-6)\/f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 - 166699*d**3 - 625864*d + 1 wrt d.\nAnswer: -12*d**2 - 1000194*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 smaller than 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -887883, -3551363, -7990499, -14205291?\n\"Answer: -887828*v**2 + 4*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**2 + 4*y + 4. Let i(r) = 10*r**2 - 5*r - 5. Let a(p) = -5*c(p) - 4*i(p). Let l be 407\/(-55) + 7 + (-6)\/10. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = 75. Let j be 10\/h*(-3)\/11. Which is the smallest value? (a) 5 (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20545 is divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*f + 0*f + 1743 = 0, 5*l - f - 8631 = 0. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(-297)\/9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:03 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6))\/(45\/81). Suppose -5*d + 2*k + p = -13, 0 = -2*d + 5*k - 2. What is the third derivative of 15*n**5 - d*n**2 - 4*n**2 + 15*n**2 wrt n?\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136013*-8*21\/(-168) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 635 + 89. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17597*f - 70888. What is l(4)?\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 5*g - 4. Let r be b(-4). Which is smaller: -2\/115 or r?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -291, -434, -577, -720?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/13429 and -49\/377.\nAnswer: 389441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2619\nAnswer: -1047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose t*p = -c - 5, -2*p - 4*c = -p - 13. Let j be ((-1491)\/(-15904))\/((-2)\/(-64)). Put -2, p, j, 1 in decreasing order.\nAnswer: j, 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 123 + 42 + 0*r + r. Let f = 4 + -4. Let d be t(f). Calculate the highest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162360 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*c - 12918 + 12372 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8543 - -10824. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let t be 1 - 1060\/(-3) - (-38)\/57. Let q = 938 - t. Let c(k) = 3*k**2 + 583*k - q*k. Determine c(x(p)).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r + 180 = 12*r. What is the common denominator of -67\/36 and r\/3024*386 - 12\/(-28)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 + 137*j**2\/3 + 220*j = 0. What is j?\nAnswer: -132, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 + 40 - 12) + (1 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010739 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v + 65. What is n(19)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1509, -3005, -4485, -5943, -7373, -8769?\n\"Answer: l**3 + 2*l**2 - 1509*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5825, 5817, 5795, 5753, 5685?\nAnswer: 5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 5*t - 22 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305 + 300)\/(1\/6 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 + g**4\/6 + 4*g**3\/3 - 6*g**2. Let r be j(5). Solve d + r*d = -3*m, 0 = -2*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542974 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**(-3\/14)*f*f\/f**(2\/9)*f*f**(-8)*f assuming f is positive.\nAnswer: f**(-505\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5\/54*u**4 - 4\/9*u**2 - 28*u - 2\/135*u**6 + 2\/27*u**3 - 1\/378*u**7 - 1\/180*u**5 + 0. Factor w(b).\nAnswer: -(b - 1)**2*(b + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -216, -1.1, 4 in descending order.\nAnswer: 4, -1.1, -31, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 17125?\nAnswer: -4\/17125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*f - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -69*h + 21. Let q = 4 - 0. Let x(k) = 5*k + q*k + 4*k - 2 - 6*k. Let z(n) = -2*o(n) - 21*x(n). Let p(d) = -2*d. Determine p(z(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) - 8\/(-12). Let b(o) = -o + 11. Let f be b(8). Sort k, -1, f in descending order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 10340.\nAnswer: -1\/10340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -472, -487, -518, -571, -652, -767, -922, -1123?\n\"Answer: -q**3 - 2*q**2 - 2*q - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. What is the second derivative of -k**4 + 3*k - k**s - 4*k - k**4 wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1445\/18 - 499\/9. Find the common denominator of -55\/24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5890635713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/13)*(a*a**(-2))\/a)\/(a*a**(-1)\/a)**(2\/7))\/((a**(1\/5)\/a*(a**5\/a)\/a)\/(a*a**3*a**(5\/3))) assuming a is positive.\nAnswer: a**(2602\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 + -97. Suppose 2*s + 3*z = 108, z = -2*s + 3*z + w. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-13 - (12 - (11 + 25)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**3*j*k**3*m - 3*f**3*j - f**3*k**3*m**2 - 7*f**3*k*m**2 + 4*f**3 + k**2 wrt k.\nAnswer: -18*f**3*j*m - 6*f**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 41 - n - 189 + 2*n.\nAnswer: n - 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + q + 3 = -3*q, 4*n = q - 15. Let f be -1*200\/(-210) + (-4)\/14. Which is the fourth smallest value? (a) 0.01 (b) n (c) -0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275\/1641 - 1\/1094. Let l(u) be the second derivative of 3\/80*u**5 + 0 + 0*u**2 + 1\/4*u**4 + s*u**3 - 1\/24*u**6 + 3*u. Suppose l(i) = 0. What is i?\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 i, 1 m, and 1 t when four letters picked without replacement from ltimkyi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 26 = -134. Let o = -6 + 19. What is the remainder when z is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -2. Let i = 17 + -16.5. Sort 3, i, s in decreasing order.\nAnswer: 3, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31678801 a multiple of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:06 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7247*d**2 - 11809*d**4 - 3673*d**2 - 3574*d**2 + 5633 with respect to d.\nAnswer: -47236*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/125)\/((-14)\/(-35)) - 0.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6063*d**2 + 23109*d?\nAnswer: 12126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 8736. Let d(w) = w**2 - 24*w. Determine d(i(u)).\nAnswer: u**2 - 17448*u + 76108032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112804975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4 = z, 2*z - 2*i - 4 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*c**5*i**3 + 3450*c**3*i**3 - 169*c**2*i**2 + 1216*i**3 wrt c?\nAnswer: -12600*c**2*i**3 + 20700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-279 + (-4 - -1)). Suppose -4*j = j + y. Let o be 16\/j + (-38)\/14. Let b(w) = w**3 + 3*w**2 - 3*w - 1. What is b(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from aapuaauapapap?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-8)\/(-16)). Let r = q - -2. Solve o + r*a = -10, 4*o + 10 = -5*a - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.38? (a) 1\/6 (b) 1\/7 (c) -3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-32))\/((-1)\/48*2). Suppose -2*a = -4*u + 6, 2*u + 5*a - 37 = -4. Suppose 4*t - b = -u. Solve -2*p + 3*s = 4*s, t*p + 2 = -2*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 2, c: 5, p: 12}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 530, 700, 934, 1232, 1594?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/227 + -677\/908. Let k = 17.9 + -17. Let m = k - 0.4. What is the third biggest value in f, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28268*l + 452278. Determine a(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 2.5. Let i = -18 + 23.6. Let x = 5.4 - i. What is the smallest value in x, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71 - -103?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 293, 0.03, 16, 2\/11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 64 = -3*z + 36, 2*z - k = 75. Let p = -21354 + 21359. What is the smallest common multiple of z and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -3*l**2\/2 - 7*l + 2. Does 7 divide x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.898237km in nanometers?\nAnswer: 2898237000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j*m**2*n + 20*j*m*n + 2*j - 6*m**5 - 2*m*n - m wrt m.\nAnswer: 18*j*n - 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:22 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 23. Let r = 49 - f. What is the remainder when 15 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*g + 407 = 108*g - 17893 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 = 3*r - 47*r + 318 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 347 - 248 = 0. Is -85 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (5 - 6 - (2 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.055112812 and 49.\nAnswer: 48.944887188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 3*y**2 + 4. Suppose -x + 2*x - 3 = 0. Suppose x*c - c + 6 = 0. What are the prime factors of s(c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3588, -1, 0.1, 1\/24, -239, -3 in ascending order.\nAnswer: -239, -3, -1, 1\/24, 0.1, 3588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -0.2, 0.032, 0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -10*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/6 + 194\/28 - 6\/63. Is p != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (3 + -2)\/(-1). Suppose o*l - b = 54, 2*l + 3*b - 53 = -2*b. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 8:17 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*n + 7. Let b be n\/4*(10 - 2). Suppose -2*f - 7 = -5*a, -b*a - 2 = -f - 10. Solve 0 = -a*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 7*u + 51, 10435*u - 24 = 10440*u - 2*w for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793907.\nAnswer: 821, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4392, -67755, -249066, -607299, -1201428, -2090427, -3333270, -4988931?\n\"Answer: -9829*f**3 + 5440*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14) - sqrt(84)\/sqrt(486))*-6)\/(sqrt(150)\/sqrt(3) - sqrt(4)\/sqrt(162)).\nAnswer: -24*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -738\/11. Let v = -163\/2 + 115. What is the common denominator of b and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 - 6*s - 1. Let p = 9 - 5. Let o be p\/16*(3 + -3). Suppose 3*z + o*b = 3*b - 6, -b = -5*z - 26. Give k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15277 + 15277. Let i = -5.1 + 0.1. What is the second biggest value in q, 4, 0.31, i?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*q**2 - 5*q - 642 wrt q?\nAnswer: 88*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 + r + 159*r**3 - 216*r**3 - 4*r**2 + 7*r**2 - 623*r**3.\nAnswer: -680*r**3 + 16*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-676)\/(-36) + 4\/18. Suppose -s = -3*s - x + 29, -4*x = -s + q. What is the first derivative of 4*v**2 - v - 19 + s + v wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (11 - -20) - 14 - 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - g - 1 = 9, 4*g - 8 = 0. Suppose -o*t = -3*t. Is 1\/7 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 20cb3a7?\nAnswer: -20cb397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1107364 and -93\/20?\nAnswer: 5536820","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -1000220110202111 (base 3) to base 15\nAnswer: -147e3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224270 is divided by 112134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.985 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 209*q - 11 + 411*q.\nAnswer: 202*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5 - 43640*w**4 + 124751768*w**3 - 30894012208*w**2 + 299605546980*w - 741244138200 = 0.\nAnswer: 5, 262, 5319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24.95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -166?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjfjfjffu. What is prob of sequence ufuj?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/2))\/((-7)\/42*516\/(-301)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(25\/(-20)) + (-46578)\/(-35)?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 311 and 933.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3105 - 140*d + 3111 - 6217 to the form m*d + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 4 = 19*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - 4*i**4 - 2*i**4)*(21 - 89 + 33).\nAnswer: 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**2*s**2 + 17*q**2 + 15*q*s**3 + 2*q*s - 2*s**3 - 3 wrt s?\nAnswer: 8*q**2 + 90*q*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-42) + (-61)\/7. Let r(u) = -3*u**3 - 8*u**2 - 9*u - 1. Let x be r(o). Let h = 17854\/11 - x. Find the common denominator of h and 61\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 5, 1 in increasing order.\nAnswer: -8, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2990000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 9*c - 37. Let t be m(-12). Let r = -6.4 + -18.6. Let i = r - -25.12. Put 3, i, t in ascending order.\nAnswer: t, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -43, -26, 7, 62, 145, 262?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*s + 9, -1 = l - 0*s - 2*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 9 - 33 = -3, 0 = g + 5*z - 15 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5) - (-7 - (-296)\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 631251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128341?\nAnswer: 128341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/490 + 3*c**6\/140 - 2*c**5\/35 - 3*c**4\/28 + 9*c**3\/14 - c**2 - 3*c. Solve b(w) = 0 for w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = 3*m + 18, 0 = -m - 5*h - 16. Let o = m - -13. Let v(i) = -3*i - 5. Let l(b) = -b - 2. Calculate o*v(d) - 5*l(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 4*d - 6*d)*(69 - 102 + 110)*(-3*d**3 - d**3 + 3*d**3).\nAnswer: -77*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 17*h - 86 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44919 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.73733 rounded to 1 dp?\nAnswer: -50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7 - 57 = 0. Suppose 13*g - 9 = d*g. Suppose -13 = 8*v + g. Let y(n) = 4*n + 1. Calculate y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34670 by -2.\nAnswer: 17335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 + (-16)\/(-504) + 160\/252. Factor x + 0*m**2 + 2\/7*m - 2\/7*m**3.\nAnswer: -2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 c, and 1 y when four letters picked without replacement from bybffcbyczbfzzfbb.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.262 * -13.\nAnswer: 159.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 5418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/5 + (-13)\/(-65). Suppose 0 = 9*w + v*w - 285. Let n(u) = u**3 - 2*u**2 - 2*u + 2. What is the remainder when w is divided by n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 3) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -94, 4, -6 in descending order.\nAnswer: 4, -3, -6, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 8. Let x be g(-10). What is the nearest to x in 1\/4, -4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 3.01. Let s = 11.6 - -3.4. Let h = s + -15.1. Which is the second smallest value? (a) h (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 = 5*v, 5*d - 3*d - 5*v = -31. What is the tens digit of (-58)\/d*(-12)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.77 - -3.87. Sort -3\/5, 8, x in descending order.\nAnswer: 8, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 40. Suppose -j = -0*f - 4*f. Suppose -f*w = -5*w + 123. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6838? (a) -1\/4 (b) 4\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:29 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*1 - (-3 - -9). Let x be (-240)\/32 + 5\/2 + w. Let l(s) = 8 + 5*s - 4*s + 2*s. Calculate l(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -145. Suppose -3*x = 12 - z. Let c = x + -43\/4. What is the smallest value in 2\/5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32789099 to 4 dps.\nAnswer: 0.3279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7519 = 874*p + 30243 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3171930 and -67\/165?\nAnswer: 34891230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 50 = -11*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40316 is divided by 1146.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.328*8.5\nAnswer: 11.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 + 2.26.\nAnswer: 2.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:08 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 5 = -6*x. Let u be 1\/x - (-8 - 45). Suppose -30 = -4*z + u. What is the greatest common factor of 231 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1798*k**2*u + k**2 - 3*k*u + 10*k - 2993472*u wrt k.\nAnswer: -3596*k*u + 2*k - 3*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, 5, -3 in increasing order.\nAnswer: -3, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 516 = 2552. Suppose 20*z + j = 21378. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/150864 and 13\/12572?\nAnswer: 150864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 3. Let u be l(-4). Suppose -u*r + 8*r = 0. Let m(p) = 6*p - 5*p - 2 + 0 + r. Calculate m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/25840 and 69\/214472.\nAnswer: 2144720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g. Let m(n) = -9*n**2 + 52*n + 13. Let h(k) = 2*k**2 - 12*k - 3. Let o(l) = -26*h(l) - 6*m(l). What is b(o(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*t = 5*z + 62, 5*t - 98 = -4*z. What is the least common multiple of z and 4\/6 - 70\/(-3)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*l - 7 = 0, -4*v + 8*v - l - 56 = 0. Calculate the remainder when 33 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -660*g**5 - 1535*g wrt g.\nAnswer: -13200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 2. Let h be (2 - 37\/t)*4. Which is the third biggest value? (a) h (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(684) - sqrt(684)) + -3 - (sqrt(684) + (sqrt(684) + sqrt(684)*2*2)**2 + (sqrt(684) - ((sqrt(684)*-1*1)**2 - sqrt(684))) + sqrt(684)).\nAnswer: -16416 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 705\/8. Let z = -2735 - -2730. What is the closest to 2 in c, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235 - -141. Let b = -71 - u. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 3.27319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from kvkppkkkvkpvupv?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 10) in base 3?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3. Let c = 2.221 + 0.779. Put -0.7, -5, c, w in decreasing order.\nAnswer: c, w, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (8 - 2) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {c: 2, z: 1, o: 2, g: 2, e: 1, f: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -5, -0.12, -3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + -8 - 22\/2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22011 + 1423?\nAnswer: 23434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9289 + -9286. Solve 5*m = 3*h + 40, -o*h - m + 22 = 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175527633 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016429 to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 23 = -2*z, -4*z + 45 = -3*n + 6. Suppose -z*q - 2190 = -24*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 1, x: 3, k: 2, t: 4, a: 2}. Give prob of sequence kaoc.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) -39 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*h**2*x**3 + h**2*x**2 - 58*h**2 + h*x**3 - 172*h - 1305*x**3 + 34*x**2 + 1 wrt x?\nAnswer: 456*h**2 + 6*h - 7830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 175.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6376 (base 14) to base 6\nAnswer: 211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -4.6. Let w = -8 - s. Let v = 5.1 - 0.1. Which is the closest to 0.1? (a) v (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/63 + 2\/(-9). Suppose 2*f - 20 = -c, -5*c - 20 = -b*c. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.162 - -0.462. Which is the closest to 1? (a) h (b) 2\/9 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 107. Suppose -p*c - 15 = -t, 6*c + 16 = 2*c. Factor 7*l**3 - 8*l**2 - 2*l**t - 4*l**2 - 8*l**2.\nAnswer: 5*l**2*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*x - 3*z + 204, 5*x = -5*z + 365. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, -4\/17 in decreasing order.\nAnswer: 2\/5, -4\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1 - 4. Suppose a + 4 = -u*r, -2*r - 18 = 4*a - 2. Suppose 9 = -r*x + 3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**3 - 174*r + 194*r - 20*r.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.745 - -68.855. Round l to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325 - 208. Let n = -46 + b. What is the remainder when n is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*a = -11, -216*a + 211*a + 2 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 12*q**2 - 28*q + 11. Let c be u(9). Let p be (c\/(-8))\/(3\/108*-3). What is the third derivative of -4*j**2 + 130 - 130 - j**2 - 6*j**p wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -610917, -1221893, -1832869, -2443845, -3054821, -3665797?\n\"Answer: -610976*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18. Let u(a) = -7 - a + 11 - 5. Let z(g) = -q(g) + 18*u(g). Let r(y) = -y**2. Calculate r(z(t)).\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/9)\/(6\/(-4)). Suppose b = 4*a - 9, -a + q*a + 4 = -b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**3 - 3*i**2 + 4*i + 8. Let v(f) = -14*f**3 - 4*f**2 + 6*f + 12. Let g(p) = 8*a(p) - 5*v(p). Find s, given that g(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1107?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 62.94. Let v = g + 0.16. Which is the closest to 0? (a) v (b) 4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 127*p - 6804 = 0. Does -63 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44170 by -5.\nAnswer: 8834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16036 divided by -422?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 203.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9066 + -9056. Let t be 24\/(5 - 2) + -3. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 283 - 4*q**2 + 0*q**2 + 287 + 2*q**4 in the form c + j*q**3 + p*q + x*q**2 + m*q**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54422 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055678156 rounded to four dps?\nAnswer: -0.0557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 71. Let q be p(25). Let i be (-1*2)\/(2\/(-5)). Solve -2*n + 8 = g, -q*g - i*n = -n - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-2)\/(2 - 6). Let m = -33 - -37.6. Let u = m - -0.4. What is the third smallest value in -1\/2, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21478, 42947, 64416?\n\"Answer: 21469*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 - 413592*m**4 + 14254448256*m**3 - 163740844635048*m**2 - 491350835106756*m.\nAnswer: 4*m*(m - 34467)**3*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - 18*o**2 + 7*o - 45. What are the prime factors of a(12)?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/((-5)\/(-360)*-24) + 1 + 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17618330.\nAnswer: 2, 5, 1761833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -295021 greater than or equal to -295031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 37*n**5\/30 + 178*n**2. Let c(w) = -w**2. What is c(d(l))?\nAnswer: -5476*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9076, -18151, -27226?\nAnswer: -36301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) 8 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 14019734*k - 28039472.\nAnswer: (k - 2)*(k + 14019736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m**4 + 486*m**4 - 37*m**3 + 84*m**3 + 213*m**4 + m - 45*m**3 as o*m**4 + x*m + g*m**2 + k + t*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(80) - sqrt(80))*6)\/(-2*sqrt(288) - sqrt(288)))\/((3*sqrt(96)*1 - sqrt(96))\/(-1*sqrt(1200))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 54 = -2*v. Let m be (-324)\/(-15) + (-3)\/5. Let r be 6\/21 - (-939)\/m. What is the highest common divisor of v and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 103*z = -105*z - 8, -4*z - 40 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69043 + 254291. Suppose -x - o = 124752. What is x rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 51.6724933253.\nAnswer: 56.6724933253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 2. Let p be 3 + 1 - (a - 2). Suppose 2*f - 3 - 3 = -2*k, p*f - 3*k + 2 = 0. Solve 0*h - f = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 7*g - g + (-4 + 4 + 2*g)*(-12 - 123 - 133) + (-1 + 3 - 3)*(-3*g - 4*g + 5*g) in the form r*g + y and give r.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1331 and 136.\nAnswer: -18.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-8))\/((-6)\/1176) - -3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 0.4, -9, 5 in increasing order.\nAnswer: -9, -2, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-7) - 2*-1. Let f be -2 + (-1)\/(7\/(-20)). Let k = 0.3 - 0.2. Which is the closest to k? (a) 3 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128646301 rounded to seven dps?\nAnswer: 0.0001286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136536, 1136542, 1136550, 1136560, 1136572, 1136586, 1136602?\nAnswer: 1136620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 36. Determine f(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 90. Let a(s) = -1 + 1 + 0*s**l - s**2. Let v(n) = 3*n. What is v(a(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.15, -5, -3\/8, 0.2, 1\/3 in increasing order.\nAnswer: -17, -5, -3\/8, -0.15, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2392, -4602, -6812, -9022, -11232, -13442?\nAnswer: -15652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7794 (base 10) in base 14?\nAnswer: -2baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = -3*m, -4*m + 2*f - 30 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 9 + 9)*(5*a + 3*a - a) - 2*a**4 + 5*a**4 - 4*a**4 + 19*a**2 - 19*a**2 - 13*a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261705 is divided by 56?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25057298*-3.\nAnswer: -75171894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9*-650719\nAnswer: 5856471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257279, 514737, 772175, 1029587, 1286967, 1544309?\nAnswer: 1801607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 2. Let d(p) = p - 1. Let a(y) = -5*d(y) + v(y). Let f(x) = x - 3. Calculate -3*a(h) - 4*f(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -87, -193, -339?\n\"Answer: -20*k**2 - 6*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:51 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 5 + 12 - 0) + 2 + -2 + 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1917000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/4 - 1971*f**3 - 133356*f**2 + 7884*f + 533412 = 0. Calculate f.\nAnswer: -66, -2, 2, 2694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 3. Give i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42 - (-5 - -3))*-5*2. What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let d be (5 - 4)\/(1\/130). Let f(y) = -126*y + 392*y - 130*y - d*y. Calculate v(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -709*a. Let m(h) = -5*h**2. What is w(m(u))?\nAnswer: 3545*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/9670479 and -58\/33?\nAnswer: 106375269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h\/(h\/(h*h**34)))**(3\/5))**(3\/13))**(-4\/7) assuming h is positive.\nAnswer: h**(-1224\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 11. Let s be v(11). Suppose -3*m = 4*o - 60, 3*m - 4*o - 36 = -s*m. Let l = 13 - 4. Calculate the remainder when m is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 20*n**3 + 25*n**2.\nAnswer: -5*n**2*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let n(p) = -2*p**2 - 3*p + 2. Let c(u) = -n(u) + 2*t(u). Let x be c(2). Let i be (x + -3)*6\/5. Solve 2*h + 2 = -i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 207 = 9. Solve -8*w + r*w = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65590*l**4 + l**3 + l**2 - 2728*l wrt l?\nAnswer: -1574160*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3 - 1 - a**3 - 1 + 0 wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/24*(-102)\/8. Let t = 55 - m. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*h + 30. Solve -2*t + h*t = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeakbbbbtakbbkbbk. What is prob of sequence atae?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8197 - 8125. What is the remainder when 1938 is divided by r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4\/67, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 12*a - 5. Let m be p(10). Let l = m - 10. Suppose -5*o - l*b + 14 = -4*b, -8 = -2*o + 2*b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137516 and 744?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(((-2)\/(-138)*3)\/1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 22. Let v be d(-11). Suppose -8*x + 320 - 104 = v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -310411 + 290408.1. Let n = -20100.943 - q. Let t = -98 - n. Round t to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 1\/8 (b) 3 (c) 2285 (d) 0.1 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 + 376905*w + 249017900 = 0. Calculate w.\nAnswer: -655, 76036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 297494395129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:21 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2))**(-15)*l**8\/(l**6*l))**(2\/27))**(-2\/71) assuming l is positive.\nAnswer: l**(-124\/1917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 3*i - 3*i)*(-111*i + 54*i + 74*i)*(-2*i**2 + 4*i - 4*i) to the form f + v*i**3 + j*i**4 + z*i**2 + d*i and give j.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -34*c + 1. Let y be n(1). Suppose -p - 168 = 5*f, p = 2*f + 10 + 53. Is y at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212960?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125580 and 1260?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -28. Let m(v) = v**3 + v**2 + v - 1. Let d(f) = -f**3 - 8*f**2 - 6*f + 2. Let r(i) = a*m(i) + d(i). Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Let b(a) = a**2 - 2*a**2 - k + 5*a**3 + 2. Let m be b(1). Put m, 2, 0 in descending order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(-5 + (sqrt(1216) + 1 - sqrt(1216))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 0*o + o**3 - 4*o - 1 + o**2. Suppose -2*y + 5*y + 6 = 0. Let s(a) = -a**2 + a. Calculate y*s(n) - 2*b(n).\nAnswer: -2*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -10. Calculate the greatest common factor of 63 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + (sqrt(68)*-3 - sqrt(68))) + sqrt(68))**2 + -5 - (sqrt(85) - (sqrt(85) - -4*(2*sqrt(85) - sqrt(85))))\/(-2*(sqrt(80) + sqrt(5))).\nAnswer: -2*sqrt(17)\/5 + 19647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65471.\nAnswer: 7, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*z + 79, 196 = 2*q - 4*z + 50. Calculate the remainder when q is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62204 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**2*g)\/g)\/(g*g*g**1*g))\/(g\/g**1)**(1\/90)*g\/(g*g**(-3))*g**(3\/8)*g*(g*(g\/(g*g**0))\/g*g)**(-6) assuming g is positive.\nAnswer: g**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0634847m in centimeters?\nAnswer: 6.34847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -18 = -2159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(90\/(-21)) - (22\/(-88))\/((-25)\/(-20))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86863.91540284 + 87023.9154. Let g = b - 160. What is g rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + -116.56. Let n = -12954 + 12838.21. Let j = n - d. What is j rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -43. What is the nearest to -2\/7 in -5, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229171*u = z - 229172*u + 12, 0 = -4*u - 16 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 4*p - 2*c, -3*p + 290 = 4*c - 80. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3.1 (b) -14 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5 - 0. Let r = -76 - -132. Let t be ((-1)\/(-10))\/(r\/14). Which is bigger: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816242.\nAnswer: 2, 11, 13, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -44\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9640\/14 - (-21)\/49. Let h = 460 - g. Let r = 405 + h. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -972 + 976. Sort v, 2\/9, 1\/4, -2\/7, -16.\nAnswer: -16, -2\/7, 2\/9, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.4 - -99. Let n = 7 - 4. Let j = n - 1. Which is the nearest to -2? (a) j (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 4, z: 5}. What is prob of picking 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -74*l - 511. Let w be b(-7). What is the nearest to -1\/296 in -4, -5, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -28, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 295111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91104 is divided by 477?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 605292.\nAnswer: -4237044","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116 - -72) + 126 - 150.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 18*d**2 + 7*d**2 - 4*d**2)*(-2*d - 6*d + 3*d) as v*d**2 + l + z*d + r*d**3 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4\/5 - 44*q**3\/5 + 76*q**2\/5 - 36*q\/5 = 0 for q.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Let s be t\/(-5) - 60\/(-25). Let g = 0.56 - 0.06. What is the biggest value in s, g, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -4*m, -2*m + 0*m - 26 = 3*u. Let x = u - -8. Let f = 47\/66 - 1\/22. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-132)\/(-1760))\/(1\/5). Let k be (-2 + 1)\/((-2)\/6). Let h(d) = -d**3 + 3*d**2 + 2*d - 2. Let f be h(k). What is the closest to 1\/4 in q, f, -0.7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4440 and 3700.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1461*j + 1466*j = -380. Sort -5, j, -1, 4 in descending order.\nAnswer: 4, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13376595, 26753191, 40129787, 53506383?\n\"Answer: 13376596*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7982 by -46009.\nAnswer: 7982\/46009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/2 equal to -0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3767 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: 6ac31 (base 13) to base 4\nAnswer: 233231030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgggxxxxxxfv. Give prob of sequence gvxf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 49*c + 4. What are the prime factors of x(-36)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1200*c**3 + 2*c - 592.\nAnswer: -3600*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6392 and 1695008?\nAnswer: 28815136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(2*((-54)\/(-48))\/9*20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/7)\/(-3))\/(57\/19).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -4 (b) 2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/13 and 1\/780 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-111 + -28 + 137)\/(2\/(-4) - 0). Factor 4\/5*r - 4\/5*r**2 - 4\/5*r**3 + 4\/5*r**h + 0.\nAnswer: 4*r*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-5))\/j)\/(j**(-5\/11)\/j)*(j*j**(1\/2)*j)\/j*j**8)**42 assuming j is positive.\nAnswer: j**(2751\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.052, 5, 0, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16\/91 + 4267\/1092. What is the common denominator of b and ((-10)\/(-4))\/(28\/38)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 76?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 60 = 4*v. Is (-1 + 1700\/v)*6\/4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 68*n**2 - 664*n - 13. Give x(9).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/7? (a) -2\/13 (b) 0.6 (c) -1\/6 (d) -13\/7 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33025608 a multiple of 3036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 378 = -18*c. Suppose 5*f = -o + 126, 4*f + c = 3*o - f. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8820066, -8820067, -8820068?\n\"Answer: -b - 8820065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 10*a - 18. Let k(n) = -6*n - 1. Let o be k(-2). Let s(g) = g + 3. Let c be s(o). What is the units digit of p(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 46 = -2*a + 3*a, 0 = 2*n + 47*a + 606 + 538 + 871 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 5*h. Let v be a(4). Let x(o) = o**2 - 3 + 8*o + 2 - 2*o. Determine x(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 50. Let q be (-16)\/(-8) - (-1 + -69 - -2). Let o = q - 88. What are the prime factors of w(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 11*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16*y + 11 = 0. Suppose -4*m + 11 = -6*x + x, -m + 5*x = y. Find the second derivative of 30*w**4 + 18*w**m + 21*w - 34*w**4 wrt w.\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 12*a - 26. Give g(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (1113\/81)\/(-7). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:04 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, 4*j + 3*w - 10 = 48. Find the third derivative of -m + m**2 + m + j - 5 + 2*m**4 - 33*m**5 - 7 wrt m.\nAnswer: -1980*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11237 by 301.\nAnswer: -11237\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 0, 3*l - 2*m = m - 135. Let i = -7 - l. Suppose 4*k + c - i = 0, 4*k - 5*c + 11 - 66 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*f - 16 = -0*f, -4 = 3*a - f. Let h be (2 - 10) + (-12)\/(-4). Sort 4, a, h in ascending order.\nAnswer: h, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -9)\/((-1)\/(-34)). Let v = z + -10. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 144*c**2 + 6*c**3 + 145*c**2 + 3*c**4 - 9*c**4 as m*c**2 + i*c + z*c**3 + p*c**4 + k and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114950 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.007, -62, 6\/47, -18 in descending order.\nAnswer: 6\/47, -0.007, -18, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/20, 1\/5, -121, -2, 40 in increasing order.\nAnswer: -121, -2, 3\/20, 1\/5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10944 and 1235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5544 divided by 44.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*g - 33 - 108 = 0, 3*f - 2*g = 107. Suppose 5*y - 2*y = -54. Let p be 1\/(2 + f\/y). Let z(i) = -i**2 - 5*i + 6. Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177ca14 (base 13) to base 8\nAnswer: 35144742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146590287 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 8*c - 14. Let k be c*(24\/(-28) - 0). Let j(p) = p**3 - 7*p**2 + 7*p. Let d be j(k). Let u(t) = -t**2 + 7*t - 9. What is u(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, 28, 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86453 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 5184 = -18*s. Calculate the highest common factor of s and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - 9 = 0, 4*t = 5*y + 171. Let b be t\/15 + 4\/10. Is b\/((-12)\/8)*-14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + 16*r + 18. Let t be v(-5). Is t > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*(4840\/(-3465))\/88.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1, -0.2, 5.4, -0.4 in increasing order.\nAnswer: -0.4, -0.2, 2\/5, 1, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*s + 16 = 0, 5*v - 2*s + s - 36 = 0. Suppose 2*m + 2*n + 3*n = 10, 3*m - 15 = 4*n. Calculate the remainder when v is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -33. Let h(u) = -m*u - 231 + 231. Let v(b) = -b**2. Determine h(v(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a - 3*z = 9, -a = -5*z + 17. Suppose 0 = -x + s + 7, x + 2*x + 4 = -2*s. What is the tens digit of (7 - a) + 23*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8857 is divided by 135?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 75. Let s = -6 - -8. Let u be (1028\/6 + s)*x. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 8*i**5\/5 - 2*i**3\/3 - 5. What is the third derivative of j(w) wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56750 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -3, 26 in ascending order.\nAnswer: -4, -3, -1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*b - 30*b + 15*b**2 + (-4*b + b + 2*b)*(14*b + 4*b - 8*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 85*q - 60)*(-6 - 4 + 0 - q).\nAnswer: 85*q**2 + 850*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Suppose 3*f + 2*g = -408, 4*f - 3*g + 545 = -6*g. Calculate the common denominator of (a\/6)\/((-6)\/f) and -13\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/12 + t**2\/2 + 2. Let y(j) be the second derivative of u(j). Let s(c) = c. What is s(y(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2599 rounded to 2 dps?\nAnswer: -13.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 13*i**2 - 9*i - 58. List the prime factors of b(-12).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1526*o**5 - 213*o**2.\nAnswer: 91560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71944 and 7912.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 2*l - 6*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 103. Calculate the highest common factor of 323 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 8*q = 240. Solve -3*c - q = 0, 5*g - 40 = c + 4*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 172*f**2 + 5*f. Let x(u) = 95*u. What is x(b(c))?\nAnswer: 16340*c**2 + 475*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -6859367 in descending order.\nAnswer: 6, 4, -6859367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 94*q**2 + 414*q + 14. Calculate x(26).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v. Suppose v = 2*a - 1 - 3. Solve 4*c + 2 = a*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 19207*y - 19162*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 - 2*z + 1. Let r be y(-1). Which is the nearest to r? (a) -5 (b) -2\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 7*i**2 + 2*i + 11. Let n be g(-7). Let y(u) = -3*u - 9. Let c be y(n). Solve c = -4*r + 2*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27730000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*k = -6 - 26, k + 16 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1705*d**3 - 374*d**2 + 187. Let c(a) = -55*a**3 - 12*a**2 + 6. What is 187*c(n) - 6*y(n)?\nAnswer: -55*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1334 - -96?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6036043339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 8931*r**4 - 2*r - 4462*r**4 - 4465*r**4 to the form i*r**4 + a + k*r + f*r**3 + z*r**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {e: 4, w: 1, k: 6, q: 2, i: 1, z: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -22. Suppose -3*m + h*m = 2*f, 0 = -5*f. Factor 9\/4*y - 3\/4*y**2 + m.\nAnswer: -3*y*(y - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 7*q + 6*q + (-q - 2*q + 5*q)*(3 - 6 + 4) + 3*q + 2*q - 6*q)*(-20*q - 22*q + 26*q) in the form t + h*q + s*q**2 and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 8*z - 3*q - 4, -6*z - q + 24 = 0. Sort 1, -2, 518, z in increasing order.\nAnswer: -2, 1, z, 518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1)*(6 - 19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8766649*u**4 + 2*u**3 + 54826126?\nAnswer: 35066596*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - 0.09. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -44*a**2 - 5*a + 12. Let x(v) = 11*v - 2. Calculate s(x(n)).\nAnswer: -5324*n**2 + 1881*n - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 2. Let z(t) be the second derivative of -5*t**4\/12 + t - 53. Give z(q(p)).\nAnswer: -125*p**2 + 100*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1800799 or 1\/4?\nAnswer: -1800799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*f**3*l**4*w - 3*f**3*l*w + 22*f**3*l + 3*f**3 + 2*f**2*l*w + 4379*l**2*w - 112*l wrt l.\nAnswer: 264*f**3*l**2*w + 8758*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4612.611 hours to microseconds.\nAnswer: 16605399600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t + 1 - 8*t - 15*t**3 + 3*t**2 to m*t + h*t**2 + d*t**3 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 14732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 32*s**2 + 59*s - 8. What is the remainder when 98 is divided by n(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -b*n + 3*t = -16, -t - 8 = -4*n + 2. Calculate the least common multiple of n and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/((44\/(-110) - -22) + -17 + -5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002801696 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -313*l*r**2 - 303*r**2 - 2*r wrt l.\nAnswer: -313*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16223*x - 16229*x = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8)*2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15732 + 15733. Let k(h) = 173*h**2 + 1. What is k(t)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6422\/(-114) - -56 - (22\/(-30) + 1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f + 234. Let q(z) = -10*z - 117. Let u(b) = 3*p(b) + 7*q(b). Let n be u(-14). What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 66 = 3*u, 2*d + u - 42 = -167. Let v be -1*(-2)\/(-21) - 42\/d. Factor -2\/7*g**4 + 0*g - 2\/7*g**2 + 0 - v*g**3.\nAnswer: -2*g**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 9*l + 8. Let k be w(-9). Suppose -2*s = k, 2*z = -2*z + 2*s + 2252. What is the tens digit of z\/27 + 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2433*h - 815 = -2438*h. Suppose -648 = 3*l - 7*l. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d - 3. Let u be j(5). Let f be 1\/4 + (-70)\/u. Suppose -27*m + 11*m + 160 = 0. Is f less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Suppose -543 - 418 = -3*r - y, r - 2*y - 318 = n. Suppose -r = -5*k + 2*l + 3*l, -16 = 4*l. What is the greatest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 2, -124 in decreasing order.\nAnswer: 2, -62, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a + 3*a + h, -16 = 4*h. Let o = -8 + 15\/2. What is the third smallest value in a, o, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8 + 2. Suppose -3*k = -4*r, 2*r - 4*k + 10 = -0. Put -1, r, q in increasing order.\nAnswer: q, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 32270. Suppose 3*r + 5*k - 945 = z, -3*r + 7387 = -k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 341 - 244 + 4*h - 5*h in the form n*h + w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46223342\/5 or 9244668?\nAnswer: 46223342\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -7*c**5 + 255\/4*c**4 - 135*c**3 + 130*c**2 - 60*c - 5\/2*c**6 + 62. Find n, given that r(n) = 0.\nAnswer: -6, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b + 31*b - 14*b. Let r(d) = -5*d**2. What is w(r(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1595.8 - 1596. Which is smaller: -745 or q?\nAnswer: -745","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12189, -48812, -109855, -195318?\n\"Answer: -12210*h**2 + 7*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxe when four letters picked without replacement from {e: 2, c: 4, x: 3}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(1\/26)\/((v\/(((v**2*v)\/v*v)\/v))\/v*v*v**(-3)))\/(v**4*v**(-3\/4)*v*v*v**(-2\/7)*v\/v**(-1)*v) assuming v is positive.\nAnswer: v**(-359\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1424\/712)\/(44\/10*-1)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = -11*j. Solve j = 6*w - 9*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -68, 1.2, 69?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 51 = -w. Suppose 0 = -b + 4*v - 2, -4*b - 4*v + 151 = 59. Suppose 3*s = -0*s + b. Calculate the remainder when w is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309 - -463. Let l = -10 + r. What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p - 4. Let r = -383 + 385. Suppose -10*v - r = -2. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 1 + 1)*(0*r + r + 2*r) + (-3*r + 5*r + 0*r)*((0*r**3 - 4*r**3 + 2*r**3)*(2*r + 2 - 2) + 0*r**4 - r**4 - r**4 - 4*r**4 + 5*r**4 + r**4).\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-6)*2\/2. Suppose s = i*s - 12. Suppose 0 = -r + l + 35, -2*r + 6 = s*l - 64. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 10*s = -4*u + 1798, 4*u + 16 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1568343 and 11426499?\nAnswer: 79985493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 - 8)*(2*d**3 - 6*d**3 - 3*d**3) + (4 - 3 - 3)*(2*d**3 + d**3 + d**3).\nAnswer: 153*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 + 5*g - 1. Let n be t(-5). Let r be -3 - n\/(4\/6). Which is the biggest value? (a) 0.2 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-2)*(-5)\/(-2). What is the common denominator of 83\/8 and ((-410)\/a)\/(4 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91868965*g**2*j - 46*g**2*u**3 + 5*g**2*u + 116*g - j*u**3 + 994*u**3 wrt j?\nAnswer: -91868965*g**2 - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 15*c. Let n be x(-15). Is 2\/15 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9*(0 + -3). Let f(y) = y**3 - 8*y**2 + 7*y + 5. Let c be f(7). Put c, q, 0 in descending order.\nAnswer: c, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:52 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.644? (a) 0.061 (b) -0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -357819689*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f**(2\/7)\/f))*f))\/f*f*f**6\/f*f*f**(-2)*f**(-3\/2)\/f)\/(f**(1\/15)*f**(14\/3)*f)**(3\/11) assuming f is positive.\nAnswer: f**(1271\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21099047429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - 0.4. Let u = -1.97 - w. Let t = 3.97 + u. Which is the second smallest value? (a) 2\/5 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 187? (a) 1.8 (b) 4\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 163.378. Let h = q - -0.41. Round h to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588085533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 + 9*h + 13. Calculate z(-8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 3*i**2 - 13*i**2 + 35*i + 5121*i.\nAnswer: -14*i**2 + 5156*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let f(w) = -139*w. What is t(f(k))?\nAnswer: -38642*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46653131 is divided by 15551034.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -40*b - 357. Let u be f(-9). Suppose 0 = -h - u*v + 5, h = 2*h - 4*v - 5. Solve -z - 4*z - 21 = 2*c, h*c + 18 = -z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 292. Calculate p(-28).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -4\/11, 21, 5, 0.3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93028291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19356.38 litres in millilitres?\nAnswer: 19356380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20450 divided by -4090.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(2 + 24\/(-15)). Suppose -g = r - 74, -5*g + 350 = b*r - r. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615909226 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*a - 3*a - 9 = 0, d = -2*a. Suppose 3*w - 5*c + d*c = -3, 4*w - 5*c + 6 = 0. What is the remainder when 61 is divided by w\/((-3 - 2)\/(-65))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13534074 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let j(o) = 6*o**2 + 6*o + 2. Let a(r) = j(r) - 2*m(r). Find the second derivative of a(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 22. Suppose 3*u - 5*v = y, -v = -4*u + 8 + 22. Solve 0 = 3*z + 1 + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 2*y = -60. Let a be 4\/y*(-168)\/16. Suppose -6*z = a*z - 468. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 + 3*u + 7. Let y be ((-18)\/(-117))\/((-6)\/(-78)). Let v be j(y). Solve 3*f - v = -22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (-136)\/(-6). Let o = j - -29. Let b(w) = -w**2 + 10*w - 11. List the prime factors of b(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332010003010211 + -10?\nAnswer: -1332010003010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (-7 - -12 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 2\/9, -15\/4, 5 in decreasing order.\nAnswer: 5, 1, 2\/9, -2\/11, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26681, -26676, -26673, -26672, -26673, -26676, -26681?\nAnswer: -26688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/4)\/((-33)\/22) - (-39)\/(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o - 3. Suppose -x + 2*l + 10 = -5*x, 5*l = -2*x - 1. Determine w(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-4*w + 4*w + 7*w)*(-3 + 2 + 4)*(w - 3*w + 4*w).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495 - 71 - 41*v - 1160 - 620 - 477.\nAnswer: -41*v - 1833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -112. Let t = v - 39. What is the lowest common multiple of 37 and t?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 15*m + 17. Let y be w(-11). Let q = y + -280\/3. Let t = -0.42 + 0.02. Which is the third smallest value? (a) t (b) -3\/8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9744 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-3\/4))\/m**(2\/11))**(1\/22)*((m*m\/m**4)\/m*m)\/(m**4*m)*(m\/(m\/((m*m*m**1\/m*m*m)\/m)))**(18\/13) assuming m is positive.\nAnswer: m**(-35205\/12584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6a54 + d2?\nAnswer: -c6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13792*o = -13808*o - 672 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 20*f - 5. Let w(d) = -7*d + 2. Let v(s) = -6*b(s) - 17*w(s). Suppose h + 0 - 5 = t, 0 = -5*h - 5. Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 273*q - 272*q - 11, 4 = -q + 3*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/k*k*k**44\/k*k*k*k*(k*k*k**(-4\/11)\/k)\/k**(-1\/36))**(7\/13) assuming k is positive.\nAnswer: k**(1687133\/66924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:29 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ea0 (base 16) to base 15.\nAnswer: -5e6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/2122 - -48313\/26525. Find the common denominator of x and ((-6)\/105)\/(2\/57).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*q**2 - 5274654 + 5274654 + 2*q + q + 59*q**2 as n*q**2 + s + m*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3090939 - 23663061. Round n to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -68) + 4 + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 726a0?\nAnswer: -72697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 15*v - 31. Let q = -3 + v. What is the units digit of q\/18 + 5456\/72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*y + 43*y + 5309416 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 13384?\nAnswer: 40152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3160676 * -0.9\nAnswer: -0.28446084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 228 = -18*h - n, 2*h = 2*n + 444. What is the lowest common multiple of 126 and h?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1 = 11*l + u, u + 1 = -3*l. Let n be (10 - (5 - 3)) + -3. Which is the second smallest value? (a) -0.3 (b) l (c) n (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:34 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217200693?\nAnswer: 3, 37, 1956763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -151*-8939\nAnswer: 1349789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*b = 4, -2*b = -5*k - 0*b + 8. Suppose 0 = -4*r - 4*p - 4, k*p + 4 = -4*r + 2. Suppose r = -2*t - 0*t + 28. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13857, -27854, -41853, -55854, -69857?\n\"Answer: -j**2 - 13994*j + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/210 - 3\/(-5). Let b(d) = -2*d**2 + 13*d - 24. Let s(w) = w**2 - 7*w + 14. Let j(f) = -6*b(f) - 11*s(f). Calculate j(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + j**2 + 1 - 3 + (-4*j**2 + 6*j**2 - 4*j**2)*(-62 + 172 - 68) to the form c*j**2 + o*j + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p + 38537412 = -23489588. Round p to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/22 or -18?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-18) + (-184)\/(-48). Solve -2*b - 3 = -5*y - 11, 4*y + 4 = d*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.135, -5\/12, 3, 2\/27, 1\/9 in increasing order.\nAnswer: -5\/12, 2\/27, 1\/9, 0.135, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 2*i + 3. Let s(b) = b**2 - 3*b + 3. Let q be (-1)\/(9\/6)*-3. Let k be s(q). Suppose 7 = -2*g - k. Give z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnllrwnnyrywyrnnl. What is prob of sequence nlnl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -54300 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3 + 51828379*c**2 + 212671190*c.\nAnswer: -12*c + 103656758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-42)*(-1 - 2). Let y = -411\/7 + 59. Which is greater: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -76. Let d(t) = t**3 - 4*t**2 - 3*t + 10. Let h be d(7). Suppose 3*q - h = -x. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 1, k: 1, n: 1, b: 2, h: 2}. Give prob of picking 1 n, 1 h, and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 + 8*i - 196 + 3*i**2 - 10*i - 5*i + 8*i as f*i**2 + r*i + x and give x.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2198656.06 - 2177218. Let u = m - 21530.0551. Let b = u + 92. What is b rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -382617*u. Let t be c(5). Let b = t - -3971023. Suppose 5*f - 5542067 = 5*h + b, -h = 3*f - 4559999. What is f rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 2*f + 3*f)*(628 - 1266 + 638 + 105*f) to the form c*f + q + n*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -296*u**5 - 385*u**3\/2 - u**2 - 6*u + 33. What is the second derivative of p(h) wrt h?\nAnswer: -35520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13526 - 1154522?\nAnswer: -1201351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3*6\/45). Let d(h) = 2*h - 6. Let a be d(j). Solve 4*r - 4 = -a*f - 0, 0 = -5*f - 2*r + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + f. Suppose f = 7*t - 2*t - 60. Suppose x - 2*r = t, 0*x + 4*x + 5*r - 22 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*z + 17 = 0, -2*v - 2*z - 10 + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*s**2 - 173*s**3 - 172*s**3 - 27*s**2 - s**3.\nAnswer: -346*s**3 - 83*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 732516 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k - 1\/3*k**5 - 8\/3*k**3 + 0 + 24*k**2 - 2*k**4. Find f, given that d(f) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 30*s**2 + 30*s - 22. Calculate d(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/4 - 3*c**3\/2 + 2*c**2 + 27. Let r(a) = -a + 2. Calculate -2*d(l) - 11*r(l).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.08 + -3. Let g = 0.04 + k. Let t = g + -0.02. Is t < -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -21*y**2 - 323*y + 215. What is the lowest common multiple of 7 and g(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k**5 - 84*k**4 + 784*k**3 - 1632*k**2 + 1248*k - 320 = 0.\nAnswer: -10, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(637) + sqrt(637) + 4 - sqrt(637)))**2 + sqrt(637) - (4 + sqrt(637)*-3))*-1*3.\nAnswer: 1512*sqrt(13) + 11682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 20*p**2 - 2*p - 10. Determine f(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -998825043, -998825041, -998825039, -998825037?\n\"Answer: 2*s - 998825045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 4.07. Let s(d) = -d**2 - 8*d + 3. Let p be s(-9). Suppose -1950*j + 1954*j + 20 = 0. Which is the nearest to p? (a) o (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-215170935.\nAnswer: -1075854675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265211803.\nAnswer: 3, 97, 7784233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/115670 and -27\/115670?\nAnswer: 115670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k - 67. What is the remainder when 61 is divided by q(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855141?\nAnswer: 11, 239, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196 + w - 30 + 30)*(-11*w**3 + 9 - 9).\nAnswer: -11*w**4 + 2156*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-1\/21)))\/f)\/f*(f**(-3\/8)\/f*f)\/f*f*f*f*((f**(2\/5)*f*f*f)\/f)**(-27))**(-1\/4) assuming f is positive.\nAnswer: f**(54707\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g = 30*g - p + 11, -2*g + 3*p - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 11, 6, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 5, t: 5, z: 5, b: 2}. Give prob of sequence bzt.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701518, 1403031, 2104552, 2806081, 3507618, 4209163, 4910716?\nAnswer: 5612277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.098 from -0.3.\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9706.888 millilitres?\nAnswer: 9.706888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from ummmmmmmmmmmmmmmmm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 2, z: 1, s: 1, o: 2, t: 1}. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Suppose 3*m - 1 = -2*y, -4*m + 2*y + 14 = -2*m. Solve 2*j + 3*a = -1, x*a - a + 7 = -m*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -781808 - -261\nAnswer: -781547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*g - 2. Let f(h) = -h. Let s(p) = 9*p. Let y(r) = 6*f(r) + s(r). Let d(j) = 7*j. Give g*y(t) + 3*d(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 4 (c) -2\/2035 (d) -2\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*b - 5*r - 44, -4*b - 2*r + 160 = 0. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 14*i + 42. Give n(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (27 - (0 - 11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(320)*-4)**2 + -3*(sqrt(25)\/sqrt(5) + 1).\nAnswer: -323*sqrt(5) + 5142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 44. Let f be u(-8). Suppose -2*n + 5*q = -475, 4*n = f*q - 299 + 1255. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 619. Let q(w) = 3*w**2. What is n(q(y))?\nAnswer: -6*y**2 - 619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/5 - 10979662*v = 0?\nAnswer: -54898310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*r + 32, -3*d + 2*d - 12 = 2*r. Does 11 divide (-18 + 0)\/(3\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51919.561 rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3474? (a) 0.5 (b) -2 (c) -0.484\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -34*h**3 + 3*h**2 + 3*h. Let t(s) be the third derivative of -17*s**6\/12 + 4*s**5\/15 + 2*s**4\/3 + 5721*s**2. Give 16*d(b) - 3*t(b).\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*(-52)\/(-12). Let c = -18 - s. Let x = 4 - 6. Sort 2, x, c.\nAnswer: c, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3171*k + 6264. What is r(2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-16)\/36)\/(2\/28) and 26\/16 - 8\/(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 48. Let u be -10 - -7 - (-38)\/l. Sort -0.5, -2\/7, u.\nAnswer: -0.5, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*r + 8. Suppose 4*p - 8*p = -84. What is the remainder when r is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354903 and 4215.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) + (-4)\/7 + 3. Find the second derivative of 6*q - 19*q**f - 3*q + q wrt q.\nAnswer: -114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1711?\nAnswer: 1711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -23*m. Let v(q) = -1. Let w(n) = -2*n + 6. Let j(p) = 6*v(p) + w(p). What is s(j(b))?\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**(-15\/4))**22)**12 assuming y is positive.\nAnswer: y**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 6*n. Let g(w) = 202*w**2 - 9 + 9 - 204*w**2. Determine g(b(l)).\nAnswer: -18*l**4 + 72*l**3 - 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15462 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 80*a + 2138. Calculate the remainder when (-1)\/((-2)\/4) + 28 is divided by x(21).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2 - 1))\/2. Suppose 27 = -h*x + 3*x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {v: 4, w: 10, p: 2, d: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2842, 5720, 8678, 11758, 15002, 18452, 22150, 26138?\n\"Answer: 7*i**3 - 2*i**2 + 2835*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 45. What is the common denominator of (850\/l)\/(-5) - (-29 + 26) and 0 + 0 + 22\/(-32)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:27 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 5616\/(-264) + (-611)\/(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 15*g - 4*h + 42255, g - 2*h = 14085. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 53 = -4*x. Suppose -1 = 3*n - x. Suppose n = 2*c - 982 - 1948. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -571351*r**3 + 322117.\nAnswer: -1714053*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17716313888.2995747 - -17716313018. Let u = -870.3 - g. What is u rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2916643943377+-1.1\nAnswer: 2916643943375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4)*2)\/((-15)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000126836 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 15268, -2, -50, -5, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124911\/16922497 + -20\/2771. Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*o + 5 - 3, 5*i + 3*o = -16. Let m be -1 - -1 - (2 + i). Suppose -4*j + m*j = -8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.1 + 0.9. Let j = 0.04 - 0.24. Let r = -0.1 + j. Which is the biggest value? (a) o (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1 + 0 + 26738 + (-58 - (-2 - 58))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.2, 3\/5, 1 in increasing order.\nAnswer: -1\/3, 0.2, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 - 92*x**2 - 10*x + 6. Let o(w) = 3*w**3 - 92*w**2 - 8*w + 5. What is 5*o(t) - 4*s(t)?\nAnswer: 3*t**3 - 92*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023911533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39 + -39 - -3*3\/(-9). Is 146 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (86*x**2 - 1449*x + 1449*x)*(5 - 2*x - 3 + x).\nAnswer: -86*x**3 + 172*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-36))\/(92\/(-12144))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*h**3 + 36*h**3 + 24*h**3)*(0 + 0 - h) + (-3*h**4 + 5*h**4 - 3*h**4)*(3 - 2 - 3) as d*h**3 + s*h + t*h**2 + u + q*h**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11548535*f. Let d(z) = 2*z. What is t(d(x))?\nAnswer: 23097070*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxs when four letters picked without replacement from {s: 3, x: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 621498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647017.\nAnswer: 11, 331547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = -29*a + 6848. Calculate the greatest common divisor of 532 and a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*j + 11*j - 2*j**3 + 0*j**3 as z*j + r + w*j**3 + f*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = -l + 764 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8100*15*20\/18\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - -1)*3\/9. Let s = 50 + -24. Calculate the remainder when s is divided by 7*(g - (1 + -6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - j**2 + j + 2. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2622060\/(-100) - (-4)\/(-10). Let z = 2831761\/108 + n. What is the common denominator of 89\/54 and z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464*p**2 + 243*p.\nAnswer: -928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*a. Let v = a + -3. Let b(g) = -g**2 - 3*g + 3. Calculate b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 48*b**2 + 45*b + 90. Let q be s(47). Put -2, -3, q in increasing order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39156 divided by 3?\nAnswer: -13052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7123074 + 201145.\nAnswer: 7324219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 9*i**2\/2 + 5*i - 8763. Suppose 0 = 2*f + f - 15. Let j(h) = -44*h - 24. Calculate f*j(y) + 24*k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1234\/5 + -246. Let o = -2\/5 + p. Which is the closest to -1? (a) o (b) -3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4.653383.\nAnswer: 23.266915","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 - 5*n**2 + 20*n - 5988. Determine t(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 0*s + 0*s)*((-s - 1 + 1)*(-2 + 4 - 1) + 0*s + 3*s + 0*s).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 p when four letters picked without replacement from yccyypypcypcy?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*t + 27, -2*t + 17 = 6*s - 11*s. What is the greatest common divisor of 8071 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3530327 + 0.35795. Round z to five decimal places.\nAnswer: 0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*k**2 - 5*k**3 + 5*k - 188*k**2 - 9*k**3 + 0*k**3 + 339*k**2 to the form z*k + p + n*k**3 + x*k**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -5, 45, 244 in ascending order.\nAnswer: -52, -5, 45, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17875?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*x + 9416, -39*x + 43*x = 2*s - 4714. List the prime factors of s.\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129013 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/15 + 17*l**4 + 419*l**2\/2 - 2*l + 6. Find the first derivative of t(h) wrt h.\nAnswer: 8*h**3 + 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814871 is divided by 5014?\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.6 times -12?\nAnswer: -1939.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -8*j**7\/105 - j**5\/20 - j**4\/6 - 35*j**3\/3 - 1036*j**2. Find the second derivative of o(p) wrt p.\nAnswer: -192*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 724213 + -1?\nAnswer: 724212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2*z - 3. Let g(q) = q + 11. Suppose 4*t = 2*t - 18. Let h be g(t). Suppose h*x - 14 = -3*p, -p - 4*x = -6*p - 6. Calculate f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 - 4*q - 3. Let k be d(5). Find the third derivative of k*c**2 + 2*c**4 + 2*c**4 + c**2 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**4 + 249066*m**3 + 7513*m**2 - 670.\nAnswer: -120*m + 1494396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.17 + 1.1217. Round f to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(42) - 1*sqrt(42)))\/(sqrt(24)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**28*k**(-26))\/(k*k**7*k**(15\/2)) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11918740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2*1\/(-3)) + 15. Solve 6*t - 2*t = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, 100, 92, 82, 70?\n\"Answer: -k**2 - 3*k + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 1.4. Let w = -1.8 - y. Which is the second smallest value? (a) -0.1 (b) w (c) -2\/13 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2389030, -4778046, -7167072, -9556114, -11945178, -14334270, -16723396?\nAnswer: -19112562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*l + 1. Let m be l\/(-14)*1*-8. Sort m, -0.1, -7 in ascending order.\nAnswer: -7, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*p + 256*p + 263 = -1321 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8.20465 or -2\/5?\nAnswer: 8.20465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 - -22. Let c = i - 157. Suppose -4*d = -c + 19. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -36*b - 21. Let y be o(-4). Suppose -3*p + 192 = -y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33\/4 (b) 3 (c) 0.2 (d) -0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 40. Suppose t = -0*t - l. Let i = t - 1. Round i to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(304))**2*4 + 4 + (sqrt(133) + ((sqrt(133) - -2*sqrt(133)) + sqrt(133) + sqrt(133))*6)\/sqrt(7) + (-1 + sqrt(1539))*4.\nAnswer: 67*sqrt(19) + 3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 + 2728 = 102*r - 674. Solve -8*n = -r*n - 160 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/6 + o**2 + 7*o. Let z be n(-5). What is the first derivative of z*r + 3 + 5*r - 3*r - 8*r wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -2 (c) -124 (d) 0.2 (e) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -142?\nAnswer: -3\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11237)\/(-34))\/((-1)\/(-2)). Suppose 3*a - t + 100 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10227 and -23\/306.\nAnswer: 1043154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8131 times 0.05\nAnswer: 406.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/6*12\/(-15). Let n(t) = 3*t. Let w(p) = -3*p. Give o*n(k) - 5*w(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 9*o - 254 + 254 - 8*o**2 + 38*o**2 as b*o**2 + y*o + s*o**3 + f and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/100335 - 1813555141\/401340. Let l = -4496 - x. Calculate the common denominator of l and -53\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2898341 or 2898344?\nAnswer: 2898344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76835989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2070 * -1.1893.\nAnswer: 2461.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2407625 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -33\/4 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-70)*8\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -172*a. Determine h(-1).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*g + 3*h, 3*h = -g - h + 2. Let n(u) = 5*u - 31. Let r be n(g). List the prime factors of 80 - (-1 - 3)\/r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4279\/20 - -756\/5. Let z = -62 - i. Factor z*t - 1\/4*t**2 - 1\/2.\nAnswer: -(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjdjdddd. Give prob of sequence dj.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 - 217*x**4 - 137*x**2 - 2 wrt x.\nAnswer: 240*x**3 - 5208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1386456669 from -0.29.\nAnswer: -1386456669.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-156)\/(-20))\/(12\/60). Solve 0 = 11*r + q + 60 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 - 1. Let b be w(0). Let p be (3 - b) + -2 + 0. Suppose -40 = -4*j - 4*r - r, 37 = 3*j + 2*r. Solve t = -p*t - j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y + 32. Let u = y - -2. Suppose u*k - 5*k = 55. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.46 - 31.46. Let l = -31.4 - h. What is the smallest value in -2, -6, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 5*d + 246 = 0. Let r = 45 - d. Let l be (-39)\/4 - 21\/(-28). Let b(s) = 15*s - 4. Let i(a) = 7*a - 2. What is l*i(q) + r*b(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -10200200?\nAnswer: -10200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccjcccchhccjccchj. What is prob of picking 2 c and 1 j?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -1, 5, 2\/3.\nAnswer: -1, 2\/3, 7\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let t = -2 - y. Let g(p) = p - 11. Let a be g(8). What is the third biggest value in t, -4\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 take away -177.755858?\nAnswer: -350.244142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036481605 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101100 + -101101001101?\nAnswer: -11001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 394*f = -3498. Calculate the highest common divisor of f and 10967.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12 and -19\/1116.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p + 2. Let y(w) = 7*w**2 - 113*w - 6. Determine -y(u) - 4*z(u).\nAnswer: -3*u**2 + 109*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:59 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 468218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7419 + -158?\nAnswer: -7577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5151\/8 + -644. Let r = 1 - 9. Which is the second biggest value? (a) n (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 171*k + 7 + 93*k as f*k + q and give f.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/100)\/((-10)\/((-250)\/15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 - 120*g**2 + 249*g - 126 = 0. Calculate g.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62396309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ad + -26?\nAnswer: -3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {l: 2, f: 5, d: 2, r: 1, k: 1, g: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 61. Let i = 41 - q. Solve -i*p + 6*p = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 60436.\nAnswer: 423052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111611.\nAnswer: 3, 370537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -217? (a) -2 (b) 4 (c) -0.3 (d) 3\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-6)\/(-311)) - ((-8880)\/(-144) - 60)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 2. Let d be i(-3). Solve 2*l + d = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510903.\nAnswer: 3, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21655217 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 85.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5575256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 43 + 49 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -11. Let d = x - 4. Calculate the least common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 + 18795970*f + 17664424412045 = 0?\nAnswer: -1879597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*j = 45, 2*j - 23 = 2*u - 5. What is the lowest common multiple of -2 + (-6)\/u - (-204)\/18 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 23 + 101 = 5*x, i + 94*x - 15*x = -7*x + 1291 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 2*d - 3. Let j(o) = -3*o**3 - 17*o**2 - 2*o - 8. Let g be j(-6). Suppose -54 = 7*s - g. Calculate p(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1859.83 + -1859.8. Let w = -0.8 + 3.8. What is the closest to 2 in f, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*b - 220 = 0, -5*j = -j + b - 245. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46a10 - -2650?\nAnswer: -44370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 47. Let t be l(17). What is the greatest common divisor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 0, -2\/21.\nAnswer: -2\/21, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709541 is divided by 968.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 6:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*b**2 + 1369*b**2 - 575*b**2 - 532*b**2.\nAnswer: -382*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3798.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101 (base 2) to base 7.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 7. Let c = -59 + 122. What is the remainder when c is divided by b(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdf when four letters picked without replacement from {f: 1, v: 2, y: 1, p: 3, d: 3, a: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m - 13. Suppose 0 = -2*o + 4*l + 24, -43*o + 5*l + 30 = -35*o. Determine u(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -19.\nAnswer: -108\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 109*b**2 + 3654*b + 269892.\nAnswer: (b - 126)**2*(b + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 162*y - 139. Is 31 a factor of f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978524862.\nAnswer: 2, 989262431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2*2)\/((-1)\/2217) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2035*w**2 - 1955*w**2 + 34*w + 4068*w**2 to j + f*w**2 + k*w and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1498061\nAnswer: 119844.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**2\/2 + 12. Let w(z) be the third derivative of 0 - z**2 + 0*z**3 + 0*z - 1\/6*z**4. Calculate w(v(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqqqqqqqqnqqqnqnqqq. What is prob of picking 4 n?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 33 = 25. Is 0 + 2 + (n - 3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -282, -1220, -2780, -4962, -7766, -11192?\n\"Answer: -311*c**2 - 5*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -22. Suppose -27 = 2*j - 3*y, w*y = -2*j - 52 + 7. Let n be (-4)\/j + (-29698)\/(-9). What is n rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-2)\/(-3)))\/((-180)\/80). Let g = -7 - -2. Let n = g + 7. What is the third smallest value in -0.3, n, o, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/120 - m**5\/12 + m**4\/12 - 4*m**3\/3 - 6*m**2. Let t be p(5). Factor 1\/3*u**3 + u**t + 2\/3*u + 0.\nAnswer: u*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5198696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 7 + 7 + 1)*(-11 + 11 + c - 62*c).\nAnswer: 122*c**3 - 61*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 8*r**2 - 9. Let s(h) = -8*h**2 + 140*h + 116*h - 256*h - h**2. Determine s(a(j)).\nAnswer: -2304*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762442756?\nAnswer: 2, 37, 233, 51109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let v = 1 + 4. Calculate the least common multiple of 15\/v + 1*8 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/4 + -2)*(6 + 84).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/8 + 47949*k\/4 + 837270.\nAnswer: 3*(k + 70)*(k + 31896)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20276981.\nAnswer: 953, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51\/2, 0.1, -1.8, 0 in decreasing order.\nAnswer: 51\/2, 0.1, 0, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*t - 33, -6*t - 30 = 374*f - 376*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -0.3 (c) 203\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/64*-8 + 38\/(-40). Let v(j) be the second derivative of -1\/3*j**3 - 6*j + 0*j**2 + 0 + 1\/12*j**4 + x*j**5. Factor v(f).\nAnswer: f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j. Let q(a) = -30105*a. What is k(q(i))?\nAnswer: 90315*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21856 = 29*y - 5230. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-three halves of a week?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21*w**23 assuming w is positive.\nAnswer: w**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46749999.\nAnswer: 3, 83, 187751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 60\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*n + 9, -2*l - 3*n = 1 - 10. Suppose l*f + 5*f = -255. Let w = f + 92. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlwwlwwwrwuwwululr. Give prob of sequence luru.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 u when three letters picked without replacement from {u: 8, x: 3, i: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*w + 253. Let h be (461 - -3) + 1 - (1 + -6). Suppose 23*v + h = -611. Is w equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 20 + 20)*(3*i - 3*i + 7*i).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7026 or 7019?\nAnswer: 7026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 5565860?\nAnswer: 16697580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22649+3\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -2*y - 2, 0 = -4*y + 4*h - 12. Let m be 9\/(y + 3) + 1. Suppose 0 = -10*j + 8*j - m. What is the closest to -0.1 in j, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1090*v**3 - 52*v**2 - 24*v + 12. What is the units digit of h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-384016608)\/(-1912460550) - (-2)\/(-10). Let j = k - 18\/20867. Let o = j + -1451101\/366600. Calculate the common denominator of 45\/16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/9 - 65632*r\/9 + 7292.\nAnswer: 4*(r - 16407)*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*16\/(704\/(-506))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 456.4074 - 0.2074. Let a = o + -501. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13115637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37781 is divided by 37710?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636866116?\nAnswer: 2, 3, 1567, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13775200 = -i - 87471712, -20249386 = -r + 2*i. Let w = -9549382 + r. Round w to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.5. Let k = -81.4 - -81. Sort k, m, -0.04, 5 in descending order.\nAnswer: 5, -0.04, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:56 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 2*h**3 + h**3)*(62*h**2 - 8*h**2 - 22*h**2 + h**2 - h**2 + 2*h**2 + h**2 - 3*h**2 + 3*h**2 + (2*h + 0*h + 0*h)*(-4*h + h + 4*h)).\nAnswer: 148*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*t + 9 = z, -3*t - 19 = 4*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1472*x + 748*x + 723*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-297)\/(-162)*(-255)\/187.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5971, 11807, 17359, 22483, 27035, 30871, 33847, 35819?\nAnswer: 36643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00553, -2\/15, -5, -2\/7 in increasing order.\nAnswer: -5, -2\/7, -2\/15, 0.00553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = 7*p. Sort p, -0.4, -1 in increasing order.\nAnswer: -1, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051.7*-2969.\nAnswer: -3122497.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3)\/l*l**3*((l**(-1\/4)*l)\/l)**(-3\/8) assuming l is positive.\nAnswer: l**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9436.634 years?\nAnswer: 94.36634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 20*k - 36. What is the remainder when h(-7) is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 46530812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12807410 by 83165.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2178 and -95\/25938.\nAnswer: 285318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 331585 = -5*l, -273*l - g + 265298 = -269*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/45 (b) 4 (c) 1\/3 (d) -0.9 (e) -6 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 38. Let f = 42144 + -42149. Let p(d) = -1. Give f*p(a) - q(a).\nAnswer: 2*a - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 95310 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -294 + 306. What is the remainder when 19 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 4*j - 4, -96*j = 3*q - 98*j - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 173*d. Let o(i) = 4*i**2. Determine o(w(y)).\nAnswer: 119716*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3*u**2 + u. Let i(y) = -2*y**3 + 7*y**2 - 3*y. Determine 9*c(f) + 4*i(f).\nAnswer: f**3 + f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 15 + 0*x**2 - 2*x**2 + 9.\nAnswer: -2*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17db5e (base 15) to base 10\nAnswer: 1160189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42535919 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 117. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 3*x - 4. Let i be p(-4). Suppose -3*g = -i*g - 36. Is 44*(1 + 111\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 128409*z. Let w(v) = 2*v. Calculate n(w(i)).\nAnswer: 256818*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*n - 5 - 81*n + 1.\nAnswer: -356*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2362 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o)*(-3*o - o**2 + 3*o) + 0 + 0 + 3*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/15)\/((-40)\/48). Solve q*m + 0*m + 4*k = 4, 2*m + 4*k = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - -9 - (-108 + -21 + 130)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7934\/3, 5, -2\/7 in decreasing order.\nAnswer: 5, -2\/7, -7934\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.452 - 0.048. Let q = 10.5 + -10. Let z = -1.21 - -1.01. Sort q, n, -5, z in increasing order.\nAnswer: -5, n, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/11 - 14\/77. Let w be (o\/4)\/((-9)\/12). Suppose -5 = 3*t + w, 39 = 3*s + 5*t. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 347 = 4*i. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 672331 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 5*a + 5. Let o(c) = c**2 - 3*c - 3. Determine -3*b(k) - 5*o(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 6*r - 18. Let o(v) = -v**2 + v. Let y(b) = -4*o(b) - p(b). Let s be y(5). Let h = -9 + 24. Solve -f = -4*d - h, s*f - f + 22 = -5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1209 and 1207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**3 + s**2. Give y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 5*v = 13*a - 7*v - 10, 85 = 3*a + v + 100 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 539207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24154 (base 10) to base 11\nAnswer: 17169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168 or -1015?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818993999.\nAnswer: 1361, 601759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4267474*y - 4267474*y + 14*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28296378 divided by 140778.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 12*v + 12. Let y be r(-5). Let f be y\/6*(-4 - -10). Suppose -2*i + f = -i, 5*s - 159 = 3*i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 + 23*u - 23*u.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -634767 or -634765?\nAnswer: -634765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*u + 10, 2*u = 63*g - 62*g + 3. Solve u*k + 11 - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 + 2*a - 4. Give s(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - p - 11 = 0, 3*l + 4*p = l + 28. Suppose 0 = -6*r - 19 + 55. Suppose 5*u = r*u - 33. Calculate the remainder when u is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/17 - 38157076*n\/17 - 181995306108722\/17 = 0.\nAnswer: -9539269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3672103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*l**5\/2 - 767991*l**4\/2 - 702*l**3 = 0 for l.\nAnswer: -468, -1\/547, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*h = -185*h - 1178. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:29 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*d + 187, 3*d = -r + 2*d + 61. Let z = -49 - -68. What is the greatest common factor of z and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*h**5 + h**2 - 1089*h?\nAnswer: 1100*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -1*sqrt(297))\/(sqrt(6)\/(-1*sqrt(2))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let z = -14 - -14.044. Let n = z + -0.144. Which is the third smallest value? (a) n (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984073 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhn when three letters picked without replacement from {n: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*2\/9*3 - -2982492. Let c = u + -2007488. Round c to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z - 1. Let q(i) = 6*i**3 + i**2 + 5*i + 5. Let w be 87 - (-4)\/(-2 - -14)*0. Suppose -5*v + 82 = w. Determine v*q(a) - 5*n(a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 + u + 7. Let j be d(-6). Let x = -2 - -1. Let z = -3 - x. Put z, 2, j in decreasing order.\nAnswer: 2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (20 + 56\/(-14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 65. Let u be (-8)\/(-10)*(4 + 1). Suppose y + 9 = 2*p, y - u*p + 11 + 8 = 0. Which is the nearest to -2? (a) w (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -43, -59, -77, -97, -119?\n\"Answer: -n**2 - 11*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*q + 3*q**3 - 1\/2*q**5 - 7*q**2 + 1\/2*q**4 - 3\/2.\nAnswer: -(q - 1)**4*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -42. Let n(b) be the third derivative of -b**5\/60 - b**4\/8 + 7*b**3\/3 - 12*b**2. What is the remainder when 15 is divided by n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w**3 + w**2 + 14*w + 3. Let m(q) = q**3 + q + 1. Let o(n) = 6*m(n) - 2*y(n). What is the second derivative of o(s) wrt s?\nAnswer: -264*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -570334 - -45.\nAnswer: -570289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 10. Suppose 7*n - 5*n - 140 = -5*i, 0 = 3*i. Suppose 0 = 5*m + 4*s - n, -2*s + 0 = -10. What is the greatest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8)*(-7 - 5). Let u be (-194)\/(-22) - (140\/(-44) + v). What is the second derivative of -u*w**4 - 3*w**4 + 10*w**4 - 7*w wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*n**6 - 2*n**5 - 17*n**3 + 3927*n**2 wrt n.\nAnswer: 4200*n**3 - 120*n**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 23*z = -26*z - 4, -2*o - 24 = 4*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + -87.8. Let j = y + 89.0045. Round j to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + -19. Let y = 165 + v. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7098*a**4 - 108*a**3 - 469*a**2 + 8792*a?\nAnswer: -170352*a - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092 = -17*i + 61*i + 47*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10959 + -10950. Which is the closest to -3? (a) 4 (b) 2\/9 (c) 0.1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*o - 265*o = -19840. Let a = o - -1986. Factor 0*v**a - 2\/7*v**3 + 0 + 2\/7*v.\nAnswer: -2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 343421 + 343441 + 343429 - 1030275.\nAnswer: -2*w + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:08 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-9))\/(7\/(-52)))\/(144\/(-168))?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + (-2)\/8. Let l(s) = 2*s**3 + 45*s**2 + 62*s - 9. Let u be l(-21). Solve 4*j + 0*j - u = h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 264 = -6*j. Let u = -20 - j. Let t = 14 - u. Solve t = -c + 4*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/3 + 316015*z**2\/3 + 12483422036*z\/3 + 6241474009 = 0.\nAnswer: -79003, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/((-91)\/(4095\/90))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/320*16 + (-2112)\/(-20) is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at least as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.6 minus 1280211081?\nAnswer: -1280211262.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 317*s - 98251. Give t(311).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*t = -16, a + 3*a - t = -64. Let g be (24\/a)\/(3\/(-32)). Let u = 38 - g. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-85)\/5 - (1 + 0). Let x be 2\/6 - (-6)\/j. Factor 1\/2*p**2 + 0 + 0*p + x*p**3 - 1\/2*p**4.\nAnswer: -p**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 6. Let u(c) = c**2 - 11*c - 83. Let d be u(16). Let m be y(d). Solve m = 7*z + 6 + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/5 - 2074448*g\/5 + 4148892\/5 = 0.\nAnswer: 2, 2074446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -247266 divided by 3\nAnswer: -82422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 + b**5\/5 + 11*b**4\/24 + 13*b**3\/6 + 11*b**2 - 18*b. What is x(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from rgruqutit.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573 by -4.\nAnswer: 573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 55. Suppose 24 = 2*w + z, -2*w - 5*z = -j + 6. Suppose -w*p - 64 = -15*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(-1*(-2 + sqrt(2268)) + -3 + sqrt(2268) + sqrt(2268) + 1)**2*-6 + 2).\nAnswer: -326604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Suppose 4*w - 3*f = 37, 5 - 20 = -3*f. Let m(u) = w + 19 - 3*u + 16 - 54. Determine 5*g(j) - m(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 9) to base 3.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-200)*(-6 + -90)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y**3 - 5*y**2 + 40*y - 8. Give p(5).\nAnswer: -1433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408621245?\nAnswer: 5, 4357, 18757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19456684 divided by 4864171?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*x + 131*x - 16 = 0. Let s be ((-61)\/(-4))\/(x\/64). Let u = s - 115. Solve -u + 17 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:03 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21526830 <= 21526865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*d**4\/9 - 10286*d**3\/9 + 13244*d**2\/9 - 2944*d\/9 = 0. Calculate d.\nAnswer: -736, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7 - y + 2*y**2 - 3*y + 10 in the form b + i*y**2 + p*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3694663603?\nAnswer: 59, 2789, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -126, -118, -108, -96, -82?\n\"Answer: r**2 + 5*r - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/39, -87, 2\/17?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1459618617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*l**2*r + 121506*l**2 + 12*l*r + 18*r wrt r?\nAnswer: 52*l**2 + 12*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*v + 33*v - 49*v to the form m + w*v and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c + 4*c - 6*c - 1. Let d(x) = x**3 - 55*x**2 - 114*x + 2. Let y be d(57). Let m(t) = 1. Determine y*m(j) + l(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 92*((-19240)\/(-139564))\/130\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(2 + 4866\/18). Let l = -447 - s. Calculate the highest common factor of 74 and l.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let r = -9.8 - -11.2. Let z = g + r. Which is the third smallest value? (a) -1 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*2 - sqrt(1377)) + 1 + sqrt(1377) - (-4 + (sqrt(1088) + -2 - sqrt(1088)) - sqrt(1088)))**2.\nAnswer: 364*sqrt(17) + 11541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.394 + -0.49. Round g to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*f**3 - 1 - 10*f**3 - 3 + 2 - f as h*f + q*f**3 + o + a*f**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 162*q + 1. List the prime factors of p(1).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -y + 16*w - 159, 2*y = 2*w - 342. Let o = y + 506. List the prime factors of o.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 4*x + x**2 + x**3 + 2*x**3)*(20 - 2 + 20)*(-x + x - 2*x**2).\nAnswer: 76*x**5 - 76*x**4 - 304*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r**2 + 5. Let p(x) be the first derivative of 27*x**3 + 18*x + 20. Determine -18*f(v) + 5*p(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24*p**3 + 66*p**2 - 2075*p - 50. Let n(l) = 8*l**3 - 24*l**2 + 692*l + 18. What is 11*n(r) + 4*y(r)?\nAnswer: -8*r**3 - 688*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -43. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206130295.\nAnswer: 3, 5, 2969, 49537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -h + 3. Solve 4*x = -0 + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = 65045*x - 65071*x - 95 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/19)*h*h*h**(-1\/2)*h*h)\/(h*h**(-2\/5))**(-1\/14) assuming h is positive.\nAnswer: h**(2426\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3)*(-27)\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 2}. What is prob of picking 4 g?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-5 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 + -4 - 9) + -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13793 - 3343 = -504*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6165 - -0.294. Let s = 46.67 - 47. Let h = s - n. What is h rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -164*n**3 - n**2 - 8*n - 6. Determine i(-1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 5280*o + 1393920.\nAnswer: 5*(o - 528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.72 - 39.75497. Round o to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/16*8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 1, p: 1, z: 2}. What is prob of sequence zug?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 70 - 6 = -4*s, 2*l - 23 = s. Is -22*1458\/s + (-6)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2046207 years in millennia?\nAnswer: 0.0002046207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/90 + (-4)\/((-672)\/(-44))*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189793 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 648*k**2 - 76463*k - 148. Determine y(118).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 64 = -196. Suppose 0 = -4*g - 0*g + 616. Calculate the greatest common divisor of g and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193*n**4 + n**3 - 2171*n**2 - 843653*n?\nAnswer: -2316*n**2 + 6*n - 4342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(28)\/sqrt(4) + sqrt(7) + -2)**2)*3.\nAnswer: -96*sqrt(7) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:59 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1470066 and 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -7?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 25623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 2271435?\nAnswer: 4542870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020200021020 (base 3) in base 8?\nAnswer: -12506414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 885436 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 162*p**3\/7 - 6535008*p**2\/7 + 65904829568*p\/7 = 0.\nAnswer: 0, 181528\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1767, 0, -1, 4, 8 in increasing order.\nAnswer: -1767, -1, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvm when four letters picked without replacement from {m: 9, v: 7}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65450 + 22*v**4 + 2*v**3 - 32713 - 10*v**2 - 32737 + 1763*v wrt v?\nAnswer: 264*v**2 + 12*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -5, 0, 5\/9, 20, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 4 = 0. Suppose -d*j = -3*i + 15, -5*j + i - 3 - 2 = 0. Put 3, -2, j in descending order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 355*w**2 + 354*w - 728. What is f(-356)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*d = -25, 71 = 4*d + 2*d + 89 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/((2*sqrt(81) - sqrt(81)) + sqrt(81) - sqrt(81)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 - 2*z**2 - 2*z**2 + 5*z**6 + 5*z**6 wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 1008.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)\/(l**(-3)*l*l)*(l*(l\/l**7*l)\/l)\/(l**10*l) assuming l is positive.\nAnswer: l**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.3, 1\/4, -3\/7, 107, -1\/3 in decreasing order.\nAnswer: 107, 1\/4, -0.3, -1\/3, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 49 = -c - 6*b, 0 = -c + 4*b + 76. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3 + 744789*b**2 - 1489587*b + 744795 = 0.\nAnswer: -248265, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2472*a + 5*w - 56 = 2468*a, 25 = 5*a - 5*w for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00098719 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1\/5, 3\/7, 0.32, -7, 2 in decreasing order.\nAnswer: 2, 3\/7, 0.32, 1\/5, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*l + 3*m, 14 = 5*l + 3*m - 109. Suppose z - w - l = 0, 18 = -2*z + 3*z + w. Differentiate -103*i**4 + 49*i**4 - z + 63*i**4 wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + c - 46 = 4 + 36, 5*l - 5*c + 52000 - 51910 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - ((sqrt(18) - sqrt(2178)*2) + sqrt(18)))\/(sqrt(864)*2 - sqrt(864)))**2 + (2 + -3 + sqrt(3) - sqrt(9)\/(-3*sqrt(3))).\nAnswer: 4*sqrt(3)\/3 + 131\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83248 rounded to the nearest one thousand?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110 + -11011?\nAnswer: -100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*a**5 - 391*a**5 - 2*a**4 - 62*a**2 - 78*a**2 + 0*a**4 wrt a.\nAnswer: 8280*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + (8 + -120)\/(-8) - -17461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 696 (c) -6\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.373089 rounded to 1 dp?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**2 - 23*j + 6. Let h(b) = 11*b**2 + 24*b - 5. Let s(z) = -3*h(z) - 2*k(z). Let d be s(-3). Solve d = 14*f - 16*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/40 + k**5\/60 - 3*k**2. Let x be n(1). Suppose -x*c + 3*c = -6. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/42 + -1081\/84. What is the common denominator of w and (6*6\/(-24))\/((-42)\/88)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213215?\nAnswer: 5, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 436? (a) -2\/9 (b) 11\/2 (c) -5 (d) 1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 815, 1135, 1563, 2087, 2695, 3375?\nAnswer: 4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*-6*2\/(-24). Let o(n) be the second derivative of 1\/30*n**4 + 1\/15*n**l + 0*n**2 + 0 + n. Factor o(a).\nAnswer: 2*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 19. Suppose n*a - 2*y = 160, -2*y + 92 = 3*a - a. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41480 - -41479.6. Let f = -6 - -6.06. What is the second biggest value in 4, z, 0.05, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 7*m + 6. Let q be u(6). Let p be q*(4\/(-16) + 1). Let h = 0 - p. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-425)\/(-255))\/((-4)\/6)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2712 = 5*s - 13022. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose -p - 7 = -3*r, 2*p + 4*r - 41 = -3*p. Find the third derivative of p*w**6 - 4*w**6 - 3*w**2 + 2*w**x wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -3, -0.017501?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5678307 micrograms in kilograms?\nAnswer: 0.0000000005678307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/3 + 106\/15. Factor 4\/5*y - v*y**2 - 2\/5.\nAnswer: -2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12009 * 1887\nAnswer: -22660983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:50 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.804451 to two decimal places.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d9b (base 14) in base 6?\nAnswer: -41045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-2 + sqrt(132)\/sqrt(48).\nAnswer: -23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, -13465, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62784\/224 - (19\/(-7) + 3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522\/5 or -104?\nAnswer: -522\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 3, -1, -5, 3167?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4118 is divided by 57?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/13))*f)**18*(f**(-3))**(5\/9) assuming f is positive.\nAnswer: f**(745\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + 0*r)*(-3 + 2 - 1) - 2*r + 1 - 1 + r - r + 2*r - 8*r + 7*r - 13*r - 4*r + 5*r + r + (-2 + 3 - 2)*(-r - 1 + 1).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r**3 + 2*r**2 + 2*r - 4. Give k(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 114\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -125.4. Let x = i - -21. Let v(p) = p**2 - 4*p - 17. Let d be v(6). What is the closest to -2\/7 in 0, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2990 = -595. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1354150116 and 3036.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921 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: Determine x so that 2*x**3 + 5*x**2\/2 - 51*x\/2 = 0.\nAnswer: -17\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -0.0310037192.\nAnswer: -9.0310037192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-1)\/17)\/(2108\/197098)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 2*c = 54*c - 630 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**6*q*q*q**3*q*q*q**7\/((q\/(q**8*q))\/q) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -25*u**7\/14 - 3*u**6 + 99*u**5\/10 + 35*u**4 + 87*u**3\/2 + 27*u**2 + 64*u + 1. What is v in y(v) = 0?\nAnswer: -1, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/18*22113\/(-1170)*(60\/(-21))\/2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*a**4 - 39*a**3 + 3*a - 870 - 5*a - 21*a**4 + 16*a**4 wrt a?\nAnswer: -80*a**3 - 117*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 + 3*o - 1. Let y be k(-3). Let n = 14 - y. Let h be ((-4)\/n)\/(12\/(-18)). Is 1 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 10*h**2 + 2*h + 98. What is l(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from fesevesfefsefss?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181949 less than or equal to 8181947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + (-1)\/1 - -35. Suppose 0 = 7*n + 13 - i. Suppose 0 = n*d + 6 - 39. Calculate the lowest common multiple of 1 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5 - 2*x**2 - 7*x + x**2 - 9. Let t be u(-6). Suppose 0*z + z + 3*z**2 + t*z - 6 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/((-91)\/819).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 16*p**2 + 2*p + 22. Let n be d(-16). Let a(u) = 41001*u**2 + 10*u. Let c be a(n). What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33935328 divided by 504\nAnswer: 67332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = 9*w + 81 - 256. Let v(m) = 25*m - 31. Give v(w).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32954 is divided by 32951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 20 = r + 24, 4*r - 2*l - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v - 2. What is the units digit of k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3*7\/((-140)\/25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -881, -925, -979, -1049, -1141, -1261, -1415, -1609?\n\"Answer: -n**3 + n**2 - 40*n - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) 0 (c) 7\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3008*m**3 - 8092*m**3 - 3659*m**3 - 3972*m**3 + 3162*m**3.\nAnswer: -15569*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 6*p + 9. Let i be k(-5). Let r = i - 52. Suppose -4*h - r = -22, 0 = 3*s - h - 85. Solve 3*c = 4*z + c - s, 0 = z + 5*c + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3469 is divided by 863.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45404775.547 + 46413155.74741. Let q = -1008387 + x. Let h = 6.8 + q. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 54. Let h be k(-17). Let p be -2 - (1 + 4 + -65 + h). Suppose -5*r + p = -2*j - 34, -19 = -r - 2*j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*t - 9, -10 = 191*w - 191*w - 5*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*o**2 + 0)*(-3 + 3 + 4 - 4 + 0 + 5 - 3 + 2 - 1 + (3 - 3 - 1)*(-2 + 1 - 1))*(-2*o + 0*o + o) to the form g*o**2 + k*o**3 + y*o + v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2379784 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 323801.6 microseconds?\nAnswer: 323801600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 110*j - 7. What is the hundreds digit of u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/874)\/((-106)\/(-424))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c - 14 = -33*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16993900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126982863.\nAnswer: 3, 7, 41, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6897336 or -6897347?\nAnswer: -6897347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19386 and 718?\nAnswer: 19386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2994.0582 hours?\nAnswer: 124.752425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*l + 239*l - 144 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.93 - -0.07. Let i = -8 + 12. Suppose 3*u = u + i. Which is the third smallest value? (a) u (b) v (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88185, 352789, 793795, 1411203?\n\"Answer: 88201*p**2 + p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 44506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1594 - 795\/3188. Sort p, 2\/15, 1, -2 in increasing order.\nAnswer: -2, p, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0818 - -1.0818. Let p = 1.9 - 2.9. Let i = 1.7 + -2. What is the closest to n in -0.07, p, i?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, 42 in decreasing order.\nAnswer: 42, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5314*d = -5297*d + 238 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 18*t**2 - 27*t + 139. Give n(17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*71.9.\nAnswer: -7.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 104784.84 seconds?\nAnswer: 29.1069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, 22092?\nAnswer: 22092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 1 + sqrt(242) + 4)**2 + ((sqrt(242) + -2)*6 - -5*(sqrt(242) + 0))**2.\nAnswer: -2640*sqrt(2) + 29812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/1*-27. Suppose 3*b - f = 3*z, -27 + 3 = -5*b - z. Solve -b*d = -4*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150166 (base 13) to base 5\nAnswer: -112424401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 10. Let f be p(-8). Suppose -2*c = -8, 5*c - f - 66 = -2*i. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797100 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 27*s - 97 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772416.8 years to millennia.\nAnswer: 772.4168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10511171 is divided by 56.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w. Let m be p(5). Let z be ((-6)\/9)\/((-4)\/(-18)). Let j be -3 - (-12*2 - z). What is the highest common factor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/153 and -38\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 4, b: 6, o: 1, d: 2, j: 2}. What is prob of picking 1 d and 1 r?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.4, 24.94, 2\/17, 0.1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426 and 329466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232066409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*q + 5, 9*v + 3*q - 10 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1403796 from -0.3.\nAnswer: -1403796.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*t + 15, w + 3*t = -2*w + 12. Solve w*u - 12 = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/231)\/3*7271\/(-2644)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/126*9)\/((-17)\/((-9724)\/(-11)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-162)\/729*(0 + -9). What is the third smallest value in -7\/10, -2\/7, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (-24 + 43 + -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-388)\/6 + 5\/(-15). Let k = -41 + p. Calculate the greatest common divisor of k and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887*3\/2*(-4)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 67 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40755 and 508326.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-3)*(-3)\/(16\/(512\/400)). What is the closest to -171 in -4, -1, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/412902 and -89\/10170.\nAnswer: 2064510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 7\/4*l**4 - 39 + 0*l**2 + 0*l**3 - 34*l. Let u(j) be the first derivative of d(j). Let c(i) = i. Give c(u(q)).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.097268 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26485*k**2*p**3*r**2 - 2*k**2*p**2 - 2*k**2 - 42*k*p**3*r + 2757*k*p**3 + 1198*k*r**2 - 2*k + 2*p**3*r + p*r**2 - 2*r wrt r?\nAnswer: 52970*k**2*p**3 + 2396*k + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/(44\/54))\/((-66)\/1))\/(51\/(-136))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2 + 816*r - 42420 = 0.\nAnswer: 70, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 173131?\nAnswer: 173131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641884.\nAnswer: 2, 23, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9518.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.2, 5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -18, -148, -402, -822, -1450, -2328?\nAnswer: -3498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -5. Let j = 0 - -3.4. Let a = j + p. What is the closest to -2\/7 in -0.2, -0.1, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445, 425, 411, 403, 401?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37922896 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 44 = -3*v, 4*v + 131 = -4*k + v. Let t = -24 - k. Solve 0*x - 5 = t*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (4 + -1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 29 + 8*u - 28)*(2*u**2 - 3*u**2 + 4*u**2)*(-913 + 185 - 654) to w + y*u**3 + g*u + t*u**2 and give y.\nAnswer: -24876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191243795.\nAnswer: 5, 17, 67, 33581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14113 and 1102097.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let n(y) = 17*y**2 - 3*y + 8. Let u(s) = 5*g(s) + n(s). Let p be u(-3). Is p - -1 - (-6)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 58. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 4257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and 466374.\nAnswer: 55498506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 5, -21, -47, -67, -75, -65, -31?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -583*o + 13933 + 9859 + 1277 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 7 + -10 - 10) + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1066372 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let t(a) = -9*a - 4. Let p(v) = -9*v - 5. Let i(h) = -4*p(h) + 5*t(h). Let o(s) = -6*g(s) - i(s). Let f(m) = -m. Calculate -5*f(x) - 2*o(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 318\/102 + -3 - 9065\/74018. Is f > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1327 - 5.1327. Which is the second smallest value? (a) 17 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/688446 and 49\/3078?\nAnswer: 2065338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 40 = -5*c, 2*m + m - 34 = c. Suppose 8*z - m = -77. What is the common denominator of 101\/70 and (234\/z)\/(3 + (-9)\/2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2568857 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8653, -13450, -18247, -23044?\nAnswer: -27841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 26*r + 22*r = -17, r = 3*s + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/63 - ((-30)\/7 - -1). List the prime factors of (h + 127)*4\/8.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53349381167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 3*o. Determine j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 2*y - 6 = 13*l, 10 = -2*y. Put 1079, 4, l in ascending order.\nAnswer: l, 4, 1079","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -34 + -2 + (1 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 42*z + 44.\nAnswer: -2*(z - 1)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 3*z**5\/20 - z**4\/24 - z**3\/6 + 60*z**2. Let l be h(1). Put -2, 4, l in decreasing order.\nAnswer: l, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 57 + 51 + 18 + 0*w**3 + 4*w**3.\nAnswer: 4*w**3 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06463582 to four dps.\nAnswer: 0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (8 - (1 + 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.90592 to 2 decimal places.\nAnswer: -38.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*b**6 - 713*b**2.\nAnswer: 24000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -248*v - 1307. Calculate p(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/121, -9, 0.4, -0.037 in descending order.\nAnswer: 0.4, 2\/121, -0.037, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1312 and 3352816?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3959 + 31737\/8. Suppose -5*f - 163 = p, f + 4*p + 35 = 5*p. Let d = -46 - f. Calculate the common denominator of d and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2.8. Let z = -38\/3 - -260\/21. Let w be (-2)\/(-7) + 95\/35. What is the closest to z in w, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -999343 divided by 1.\nAnswer: -999343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -48. Let c(z) = -z**3 + z**2 + z - 1. Let x(y) = -15*y**3 - 6*y**2 + y - 1. Let k(t) = g*c(t) + x(t). Find the third derivative of k(f) wrt f.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b - 1. Suppose 0 = 17*t + 11 - 11. Give x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-77) - (-845)\/11. Let f be (-4)\/22 + 47\/x. Let g = -0.0018 - -0.1018. What is the nearest to g in -3, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*c + 14, 5*n + c + 12 + 7 = 0. Suppose 2*d - 5 = -3*f, -2*f = 3*f - 4*d + 21. Sort n, f, 5 in ascending order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -3, 0.4, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 740070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(14\/(-105)*-4). Put 693, -5, m in descending order.\nAnswer: 693, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5916, -16099, -26282, -36465?\n\"Answer: -10183*f + 4267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 66676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -22*y - 3. Let k be v(-2). Let s = 287 - k. Suppose 2*n - 150 = -2*l - l, 2*n - s = -5*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2*sqrt(19)*-4 - (sqrt(475) + 0 + sqrt(475))) + sqrt(95)\/(sqrt(20)\/sqrt(4)) + -2)**2.\nAnswer: 64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)*-2*-1. Calculate the common denominator of -79\/4 and ((-26)\/208)\/(m\/(-228)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 smaller than 11889\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 49210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffsssfsfsssffffss.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 30 = -4*j. Let h(a) = 2 - j*a**3 - 2*a + 7*a**3 + 2*a**2 - 2*a + 0*a**2. What is the tens digit of h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 265*d**4 - 213*d**4 + 323*d**4 + (16*d - 7*d + 19*d)*(-2*d**2 - d**3 + 2*d**2).\nAnswer: -183*d**4 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 - 9*d - 2. Let k be y(5). Suppose 4*w - o + 7 = 2*w, 2*w + k*o = 13. Is 37 - (-4 + 1 - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 277988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52840 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 4*n + 5. Let l(s) = -3*s**2 + 4*s - 6. Let h(f) = -4*d(f) - 3*l(f). Let q be h(-6). Factor 2\/3*r - 6*r**4 + q*r**3 + 0 - 14\/3*r**2.\nAnswer: -2*r*(r - 1)*(3*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -792*f - 2\/11*f**5 - 458\/11*f**3 - 456*f**2 + 76\/11*f**4 + 0.\nAnswer: -2*f*(f - 22)**2*(f + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6992\/40 - (-2)\/10. Suppose 4*q + 15 = j. What is the highest common divisor of q and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*o - 687441 = 0, 2*c - 458300 = -2*o + 7*o. Suppose -c = -9*s + 922855. What is s rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 31*u**2 - 44*u - 5. Let b(g) = -8 - 4 + 41*g**2 - 4*g**2 - 110*g + 41*g**2. Let q(v) = -5*b(v) + 12*d(v). Find the second derivative of q(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0336 and 3.\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*x = -19, 11 = 2*r + 3*x - 2*x. Solve -4*d = r*q + 24, -13 = 2*d + 3*q + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 135.7954\nAnswer: -244.43172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.845 times -1?\nAnswer: -14.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*v - 10, -3*o + 1 = 3*v - 5. Let p be -1 - (5*o - -2). Suppose b - 5*c - 29 = -0*b, -2*b + p*c + 18 = 0. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161646?\nAnswer: 2, 67, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142033 (base 5) to base 14.\nAnswer: -7bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576772 + 577051 - 2*h - 1153823.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + -21 + -30 - -82.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 757*u**3 - 10*u**2 - 4*u + 3. Let d(l) = -l**2 + l + 1. Let q(k) = 2*d(k) - n(k). Let c be q(-7). Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1*-4.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/2520 + a**6\/360 + a**5\/30 + a**4\/12 - 2*a**2. Let t(s) be the second derivative of j(s). Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1006 and -0.4.\nAnswer: -0.04024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) 0 (d) 0.5 (e) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29251 is divided by 1058.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163623?\nAnswer: 3, 54541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 63 - 425. Let u = w - 97. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18270)\/(-15)*5\/2?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 20*s**2 + 50*s - 10. Let a be j(-17). Suppose -5*z + 58 = -3*i, -54 = -5*z - 3*i + a*i. Calculate the remainder when 66 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m. Let o(h) = 37*h + 5. Let k(q) = -17*q - 2. Let d(z) = 5*k(z) + 2*o(z). Give d(p(g)).\nAnswer: -220*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = -4*t, -1 = 2*t - 9. Suppose -u + 0*m + m - 1 = 0, 0 = 2*u - m. Let f be (-157)\/(-3) + u\/(-3). Solve -20 = k*v - 4*b - f, b = -5*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20*150\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2549 - 2552. Put 2, -4, q, -5 in decreasing order.\nAnswer: 2, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -15. What is the remainder when (8 - 2)\/(2\/11) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -3.8. Let y = 0.5 - -4.5. Sort 3\/5, y, d.\nAnswer: d, 3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/90)\/((-1)\/15*(-6720)\/288)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30758352 to the nearest integer?\nAnswer: 5546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {f: 1, e: 3, r: 1, m: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -85*g - 657. Let u(y) = -78*y. Determine n(b) - u(b).\nAnswer: -7*b - 657","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 197455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1864358 and 2792.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = 2*r. Let k = 247 + r. Let s(v) = -v**2 + 11*v - 6. Let c be s(4). Calculate the highest common factor of k and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349097 + 349097 + 11*z**3 - 14*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 27*u - 27*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 412121?\nAnswer: -412115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (76\/(-855))\/((-2)\/(-10)). Which is the biggest value? (a) 2\/79 (b) p (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b - 80. Let i be j(-6). Suppose -4*y = 11 + 5, 1840 = i*o + 2*y. Is o a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4625\/4992?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35417?\nAnswer: 107, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 224*z**4 + 6*z**2 - 185. Let a(b) = 2*b**2 + 2. Let q(g) = -3*a(g) + d(g). Differentiate q(t) wrt t.\nAnswer: 896*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6147743 from -0.002.\nAnswer: -6147743.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7264 to 2 decimal places.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-740)\/74*(-258)\/(-60)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001221122112 - 1201?\nAnswer: 1001221120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkh when three letters picked without replacement from hhjhjjjjkjjkjjxjkhk?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(832))*-5 - ((sqrt(832) - (0 + sqrt(832)*3)) + -2))**2*3.\nAnswer: 37632*sqrt(13) + 1959216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40365 and 29003.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:48 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 - 4.8. Which is the third biggest value? (a) 5 (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 25*f**2 - 2*f**2)*(14*f - 6*f + 24*f) - 2*f**3 - 2*f + 2*f in the form g*f**3 + a*f**2 + n + t*f and give g.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -271, -1062, -2375, -4210?\n\"Answer: -261*k**2 - 8*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -4)\/3 + (-80)\/(-15). Let q(v) be the third derivative of -2*v**2 - 1\/540*v**6 + 1\/27*v**3 + 1\/108*v**4 + 0*v - 1\/270*v**l + 0. Factor q(p).\nAnswer: -2*(p - 1)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/4 of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 33\nAnswer: 33.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 3888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*w - 62608, 76*w - 79*w = 4*z - 125244. What are the prime factors of z?\nAnswer: 2, 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117829693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, -21535\/159, 1\/2 in ascending order.\nAnswer: -21535\/159, -0.37, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1171 + 1171. Suppose 2*b + 0*b = 0. Solve 4 = 3*s - y - t, b = 3*s + 3*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 1. Let i(j) = -84 + 139 - 7*j - 57. Let q = 203 + -208. Give q*n(p) - 3*i(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from axqaaaqaqxaaaabaasa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26575, 53153, 79731?\n\"Answer: 26578*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112101002202 (base 3) to base 5.\nAnswer: -202024432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209883911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.09, 4, -1\/5, 0.4, -2, -10.\nAnswer: -10, -2, -1\/5, 0.4, 4, 6.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*6*(-28)\/(-63). Let o(s) = w + 8*s - 10*s - 8. Let d(n) be the third derivative of n**4\/12 - n**2. Determine d(o(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -83 * 0.1\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146009 + -92137. What are the prime factors of k?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-12)*12 - -252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4019999062469307\/1946730365401 - -23\/857968429. Let s = p - 2065. Let w = s - 156571\/22690. What is the common denominator of 29\/3 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 59*c + 66. Suppose -x = 2*l + 2*x - 25, 4*l - 58 = 2*x. Let w(s) = 2 - l*s**2 + 4 - 5. Calculate w(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 18. Let g be m(0). Let v = 20 - g. What is the second derivative of 3*x + x - 8*x**v - 6*x - 12*x**2 wrt x?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000614134479 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23068267.\nAnswer: 179, 128873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6221, 6223, 6225?\n\"Answer: 2*g + 6219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10009425317\/3556 + 2814799. Calculate the common denominator of 61\/20 and w.\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Let b(t) be the third derivative of t**6\/60 + t**5\/20 - t**4\/12 + t**3\/2 + t**2. List the prime factors of b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 0.1 (c) 1 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 58707*t.\nAnswer: 3*t*(t + 19569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-2 - (-7684 - -85).\nAnswer: 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104 - 22*y**5 + 104 + 3*y**5 - 3*y**5 + 7*y**5 + (y**4 - 3*y**3 + 3*y**3)*(0*y + 2*y + 3*y).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)*g**(-10\/3)*g*(g*g*g\/(g*g\/g**(-10)*g)*g)**38 assuming g is positive.\nAnswer: g**(-5168\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r*r**(-1))**(-6)*(r\/(r\/(r\/r**2))*r)**(-6\/23)\/((r\/r**0)\/r)**46 assuming r is positive.\nAnswer: r**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvk when four letters picked without replacement from kkkkkvkkkkkvkkkkkv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 138334.95 from 100.\nAnswer: -138234.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/35 + 6\/(-63) + (-45030)\/630 + 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)*3*-1. Let h = 45 - 13. Let i = 33 - h. Which is the second smallest value? (a) 2\/5 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49168927*d**3*v**3 - 115799*d**2*v**3 + 9*d**2*v**2 + 5*d**2 wrt d.\nAnswer: 295013562*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - 5\/((-15)\/18). Sort q, 3, 11, -2 in decreasing order.\nAnswer: 11, 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -22. Calculate the smallest common multiple of (u\/(-10))\/((-6)\/(-32)) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22404 (base 7) to base 10.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -1) + -116 + 115 + 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8923*a**2*d**3*h + 387*a**2*d**3 + 53*a**2*d - 2*a**2*h + 1167*a*d wrt d.\nAnswer: 53538*a**2*d*h + 2322*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64245109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/360 - a**4\/4 + 4*a. Let z(o) be the third derivative of m(o). Let c(n) = 2*n**2 - n**2 - 5*n**2. Calculate c(z(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 266*j**2 - 2071*j - 560. What is x(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 162557858?\nAnswer: 162557853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1087217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 4\/3 (c) 4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 326 + 309 = -5*b, -5*b = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 337 = -5*q + 2*q, 0 = -2*u - 5*q + 131. What is the remainder when u is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 949, 1902, 2855, 3808?\nAnswer: 4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 672 = 22*h. What is the highest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*g - 6*g + g - 15, -3*y + 43 = -g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 245*q + 50. Let s = 205 + -198. Is g(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(3*s**2 - 4*s**2 - s**2) + 0*s**3 + s**3 + 0*s**3 + (3*s**2 - 2*s**2 + s**2)*(-3*s + 3*s - 2*s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3480760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7*l + 22 = 5*l, 3*r - 5*l = 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -185, -358, -531, -704?\n\"Answer: -173*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2394.402 months?\nAnswer: 1.995335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 212 + 420 - 208.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*81\/5400*12\/(-243)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 4 (c) 5.01 (d) -1.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 + -153 + (-25 - 1) + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.20751um in centimeters?\nAnswer: 0.001320751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + t - 38 = 34, 10 = 5*t. Suppose 0 = -4*w - 2*h + y, 2*h - 11 = -3*w - 1. Let -6*m**w + m**2 - 3\/2*m**3 + 0*m - 7\/2*m**5 + 0 = 0. Calculate m.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -27775*b + 27780*b - 1 - b**2 + 0. Suppose 4*x - 22 = -2. Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -2, 1\/2, 1\/3 in descending order.\nAnswer: 131, 1\/2, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 - 37. Let i be z(-6). Calculate the common denominator of (-18)\/16*2*i\/(-5) and (-13)\/(-10) + 4\/(-8)*-2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 7*o - 10. Let b be n(-3). Suppose -16 = 4*q - 2*z, q + 4 = 5*z - 0*z. Put q, b, -1 in descending order.\nAnswer: b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 - 12*h**2 + 2*h**3 + h**3)*(23*h - 5*h**2 - 3*h + 7*h**2).\nAnswer: -4*h**5 - 64*h**4 - 240*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 10. Let p be a(-7). Let t be p + -2 + 5 - 1. Suppose 0 = t*f - 0*f + 3*q - 19, -4*f - 1 = -3*q. Solve -f*d = -3*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3)**(-21\/2)\/(l**(-1\/6)*l**2) assuming l is positive.\nAnswer: l**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 3*51\/9 - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 4*v**3 + 2*v + 0*v to the form q*v**2 + o + m*v**3 + x*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.657049cm in micrometers?\nAnswer: 36570.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:08 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.37 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4121865427 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5 + 5*x**3 - 2 - 6*x**2 + 3*x**2 - 3*x + 6. Let k(y) = 26*y**3 - 16*y**2 - 16*y - 6. Determine 16*a(p) - 3*k(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3730 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45 and -149.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -9\/18163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15040 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 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 o(d) = -d**2 + 3*d. Let z be o(4). Sort 0, 1, z.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.02. Let o be 81*(-3 - -1)\/(60\/(-138)). Let m = o + -373. Which is the fourth smallest value? (a) m (b) -1\/4 (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3510486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6103 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 10*t**2 + t - 10. Let v be q(10). Suppose 3*o + v = 12. Let w be 12\/(-7 + 3) + o. Solve 3*a = -10 + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 955, 1913, 2871, 3829?\n\"Answer: 958*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + -9 + (7 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -767.9 + 808. Let f = -40.1000438 + m. What is f rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -363, 3, 1, 12804, -1 in descending order.\nAnswer: 12804, 4, 3, 1, -1, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325 - 34054?\nAnswer: -34423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 494461*l + 194 - 372.\nAnswer: 494461*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1368)\/sqrt(2) - sqrt(38)\/(sqrt(2)*-1)) + -5)*1.\nAnswer: -5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9111936.\nAnswer: 2, 3, 61, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o - 9. Let m(g) = -g**3 - 4*g**2 + 3*g - 6. Let x be m(o). Solve 4*v = 4*k + x, 2*v + 3 = -5*k + 6*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 109. Suppose -3*r - 10 - 56 = 0. Is r <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 120 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9255 + 24965 = 0. Let t = -25307 + l. Let w be t + 6*2\/(-4). Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqq when four letters picked without replacement from {b: 5, q: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8493 and -43\/313386?\nAnswer: 46694514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 29, 0.1, -0.999 in descending order.\nAnswer: 29, 0.1, -0.999, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 808109 (base 11) in base 6?\nAnswer: 43502430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -191\/28 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let a(o) = 8*o - 135. Let m be a(21). Let z(n) = -48*n**2. Determine m*i(w) + 2*z(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/46259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, h: 3, p: 3, q: 1}. Give prob of picking 2 h and 1 p.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2\/9, 5, 2, 0.632.\nAnswer: 2\/9, 0.632, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -467665834192 plus 8?\nAnswer: -467665834184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.25 and -5.51.\nAnswer: 61.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1233 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*(sqrt(275) + 0 + 0) - (2 + sqrt(275) + 0 + -1))*3)**2.\nAnswer: 360*sqrt(11) + 39605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 71. Let m be 2 + (-30)\/v + (-1)\/2. Factor -8*w**4 + 2*w**5 + m*w**5 + 1409*w**3 + 2*w**2 - 1408*w**3.\nAnswer: w**2*(w - 1)**2*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.7 in 0.1, -2\/9, -0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -82, 14, 5 in ascending order.\nAnswer: -82, 1, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 + 303. Suppose -89796 = 37*v - a*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 553?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1053 and 101\/18.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -8 (c) -0.055 (d) -0.18 (e) 8 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1285.3 - -1285.3037724. What is f rounded to 5 dps?\nAnswer: 0.00377","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/3 - 1216*n**4\/3 - 387242*n**3 - 255504596*n**2\/3 - 17646240776*n\/3 - 5797298896 = 0.\nAnswer: -194, -1, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -91*r + 13. Let b(w) = -23*w + 3. Calculate -13*b(j) + 3*h(j).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -10. Let b = x + 26. Solve -2*r = 4 - b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -164, 2\/13, -4?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34c5d (base 16) to base 7.\nAnswer: -1560124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5, -4, 404 in decreasing order.\nAnswer: 404, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2870 + 2869. Which is bigger: -2\/5061 or q?\nAnswer: -2\/5061","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**3 + 59*g**2 + 2*g + 46. Calculate c(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*q**2 + 171*q wrt q?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14638034, 29276067, 43914100?\n\"Answer: 14638033*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1 + 3 - 4 - 2 + 1 - 2 + 0 + (5 - 4 - 2)*(-5 + 1 + 2) - 1 + 0 + 0 - 4 + 2 + 0)*(2*i - 3*i + 3*i) to the form t*i + v and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1a - -192?\nAnswer: -1a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4\/5, -13, 2547\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1711332*j + 11*j**3 - 1711328*j - 9*j**3 + 773*j**2 in the form d*j**3 + l*j + o*j**2 + q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {z: 1, l: 2, c: 1, u: 2, o: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from bsssbbssss.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3630358 is divided by 5216.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 3 (c) 25 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45922482457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**7*r))\/r**(-2\/17))**(-1\/11)\/(((r\/(r*r\/r**4))\/r)\/(r*r**(-1\/6)))**(-19) assuming r is positive.\nAnswer: r**(25573\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 2*w + 1. Let u(f) = -10*f**2 - 10*f - 1. Let c(j) = u(j) + 5*z(j). Let x be c(0). Solve 15 = -b - x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 6:45 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x**3 - 29*x**3 + x**4 - 389*x - x**2 + 390*x to g*x**4 + i + t*x**2 + d*x**3 + b*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.7971 hours in seconds?\nAnswer: 1208869.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -71. Let c = -79 - i. What is the closest to c in -2\/5, -1\/2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/3 + 5*a**3\/3 + a**2 + a. Let c be s(7). List the prime factors of c\/9 + 22\/99.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4520736600 rounded to the nearest one million?\nAnswer: -4521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.31233 + 1.32. What is z rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + 13. Let t = i - 47. Suppose 167 = t*b + 4*v, -2*v = -3*b - b + 208. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53924.\nAnswer: 2, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 32*u - 34*u. Let c(y) be the second derivative of 0*y**3 + 0*y**4 + 15\/2*y**2 - 1\/5*y**5 - u*y + 0. What is the derivative of c(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4, -1\/6, 1.69?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3808.13653096 less than 0.001?\nAnswer: 3808.13753096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 22 - 22 = 0. Suppose -5*j - 3*b + 52 = i, 3*j - b = 19 + 1. Solve 2*g - 4*g = j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1*-6 + -4 - (sqrt(190) + (sqrt(190)*1*4 + sqrt(190) - sqrt(190)))\/(sqrt(40)*4).\nAnswer: -4 + 139*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*r - 9. Let x be -2 - -2 - r\/(-10). What is the closest to 2 in x, -1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/6))**(-43)*p**2\/(((p\/(p\/p**(3\/8)))\/p)\/p))**(-10) assuming p is positive.\nAnswer: p**(5585\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 43, 1.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6035*p + 5996*p = -741 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000088305 rounded to seven decimal places?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3380*v**3 - 6968*v**2 + 2096*v\/5 - 32\/5 = 0.\nAnswer: 2\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 20*q**3 - 105*q**2 + 500*q - 500.\nAnswer: 5*(q - 5)*(q - 2)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3, -2\/45, -10, 1000?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53577705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let u(d) = 47*d**2 - 5. Let v be (-6592)\/20 + (-3)\/(-5). Let a(t) = -3102*t**2 + 329. Let n(f) = v*u(f) - 5*a(f). Calculate n(z(w)).\nAnswer: 188*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 425*i*w**3 - i*w**2 - 19*i*w - 3633*w**3 + 5*w**2 + 19*w wrt i?\nAnswer: 425*w**3 - w**2 - 19*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*a - 22*a + 33*a)*(-3 + 0 + 4)*(15 - 6 + 27).\nAnswer: -360*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 21. Let d be k(-12). What are the prime factors of 11\/3 - 6\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let k(z) = z - 4. Let n be k(3). Let d be r(n). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1458)\/(-478953)*1*(-9)\/1\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129553, 259106, 388659, 518212?\n\"Answer: 129553*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 461 = 481. Let j = 1 + 1. Let x = j - 2. Solve f + u*f = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 3.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8396024 by -441896.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 559 - 19. Let k = b + -50. Solve -2*z + 13 = k*v + 3, -4*z - 13 = -3*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -32. Let j(q) = q + 1. Let c(u) = -u - 2. Determine y*c(x) - 6*j(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3 + 9 - 4*a + 9*a**2 - 10. Is 6 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 12 = 0. Let f be 2*6*1\/v. Factor -q**2 - 2*q**3 - f*q + 0*q**3 + 7*q**2.\nAnswer: -2*q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(1*sqrt(176)) - (-1*(0 + sqrt(3)) - (sqrt(12)\/sqrt(4) + 0)))**2 + 3)*1.\nAnswer: 291\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 28 = -4*o, -332*y + 330*y = 2*o + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 0. Let t = -5874 - -5877. What is the nearest to -1 in t, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/23312 and -35\/3968?\nAnswer: 186496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**3 - v + 17*v**3 - 7*v**3 - 2*v**3 - v**3 + 4*v**3 + 4*v**3 - 7*v**3 + v**3 - v**3 + 0*v**2 + 0*v**2 + (-v**2 - 3*v**2 + 6*v**2)*(-2*v - 2*v + 2*v).\nAnswer: -4*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(153)*-2 + sqrt(153) + ((sqrt(153) - (sqrt(153)*1 + sqrt(153)) - sqrt(153)) + sqrt(153))*-6 + sqrt(153))\/(-4*sqrt(1089)*-1).\nAnswer: 16*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*q - 3*q + 27, 0 = 2*q + 4*v + 10. Suppose -49 - 35 = 2*u. Let p be (-14)\/u - (-32)\/3. Solve r + 2 = -4*m, -3*m - p = -q*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 95, 178, 299, 470, 703?\n\"Answer: 2*m**3 + m**2 + 40*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:03 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461761?\nAnswer: 409, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Let o be (b + 6)*19*1. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14665166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*1030\/(-515).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -15. Let u be 2\/15*(-550)\/366. Let m = 4\/183 - u. Which is the closest to i? (a) -1\/9 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 - 12 - 9\/2. Which is the smallest value? (a) -0.9 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + v = 0, -2*t = 3*v. Let g be 10 + -10 + 5 - t. Solve -g*a - 3 = 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.520563 and 51.\nAnswer: 50.479437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:01 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -624871710 divided by -3?\nAnswer: 208290570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 + 2*z**3)*(2 + 1 - 1) + 4*z**3 - 7*z**3 - 5*z**3 + (z**2 - 1 + 1)*(6*z - 2*z - 3*z) - 2*z**3 + 3*z - 3*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*(-19)\/95.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 33. Let f = 36.000044 + x. What is f rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 2*d + 0*d + (-2 + 3 + 1)*(-d + 3*d - 3*d) - 9*d + 16*d + 5*d - 1.\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -11. Let q be 90 - 3\/4*(-72)\/(-27). What is the greatest common factor of q and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (3 + -4)*14. Let b be (-2)\/(-2 - u\/8). What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 33\/(-7). Suppose 0 = -4*u + x - 5, u + c = -4*x - 9. Let g(n) = 2*n**2 + 2 - 1 - n**2 + 5*n. What is g(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7))**(-7\/9))**(-9)\/((w**(1\/5)*w)**(-12\/13)*(w\/(w\/w**2))**47) assuming w is positive.\nAnswer: w**(-5713\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - -2*sqrt(77)*-4))\/sqrt(7))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434454571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 612255374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + 56*b**2 - 6*b - 110. What is w(15)?\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -79, -424, -1095, -2200?\nAnswer: -3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 783275 (base 9) to base 14\nAnswer: c2904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269*k**2*v**3 - 340*k*v - 2*v**3 wrt k?\nAnswer: 538*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/210 + f**6\/5 - 11*f**5\/30 - f**4 + 23*f**3\/6 + 3*f**2 + 38. Factor g(m).\nAnswer: -(m - 23)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.05632 rounded to three dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + 0 + 4191\/(-2394). Let n = d - -11\/14. Which is the third smallest value? (a) n (b) -3\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192*b**3 - 2123*b**2?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.5 (c) -67 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012102201 + -2?\nAnswer: -1012102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11173 - 7368. Suppose 4*b = g - k, -4*b + 7005 = 2*g - 653. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 divided by 51001?\nAnswer: -281\/51001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 5 = 35 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.15 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 179*c**2 + 296. Let t(o) = 178*o**2 + 295. Let u(b) = 3*t(b) - 2*v(b). Differentiate u(h) wrt h.\nAnswer: 352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.485 - -1.515. Is -333 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 891010 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 178. Let o be p(-64). Solve -11*f = o*f + 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 22. Let a be i(21). Suppose 5*p = 247 + a. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6 + 6. Let k = x - 1. Suppose -k*b = -3*r - 7 + 1, 4*r - 2 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3642357*23.4.\nAnswer: -85231153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (22 - 9) + -17 + 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-4 + 5\/5). Differentiate 8 - 3 + 3*c**2 - 15*c**2 + h wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -10. Let g be j\/((-1)\/2)*50\/(-1625). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from {e: 2, f: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1505.51*0.2\nAnswer: -301.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6420 - -6323. Which is the closest to -1? (a) -3 (b) n (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -273\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 17*l**2 + l + 21. What is v(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129\/1177 - 2\/107. Which is the closest to -1\/2? (a) d (b) 0.5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*u**2 + 197*u**2 - 86*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 3*y. Let h be k(4). Let u be ((-54)\/15)\/((-5)\/25). Let w be (-5 + u\/h)*-4. Solve w*d - 1 + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 118*j + 320. Let a(r) = -26*r - 80. Give 9*a(f) + 2*v(f).\nAnswer: 2*f - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3072.24*71\nAnswer: -218129.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let q = -0.39 - 0.01. Let x = -23.8 - -23.9. What is the nearest to x in 0.1, q, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2367, -4728, -7079, -9420?\n\"Answer: 5*d**2 - 2376*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3968277\/871 - -4556. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 11) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/41 less than -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 1, -28, -93, -206, -379, -624, -953?\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15 - (0 + 3 + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:22 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29287127 rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 34997*l - 34998.\nAnswer: (l - 34998)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 103817*k**2 - 2693505840*k - 51214095756.\nAnswer: -(k - 51918)**2*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5704, -11433, -17162?\nAnswer: -22891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.71881 and 19.8.\nAnswer: 34.032438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) -0.5 (c) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73253055 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16741127 is divided by 8370558?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8297332 + 0.07.\nAnswer: -8297331.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/19 and -56\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 15815984.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 13*g**2 + g + 13. Let j be w(-13). Let n(u) = 3 + j - 2*u - u**3 - 5*u**2 - 2 + 2. Calculate n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 11*z - 21. Let i be h(8). Solve 3*l = -0*s + 2*s - 1, 25 = -4*s - i*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/21 + -11\/42. Let y = -730.5 + 730.6. What is the nearest to y in w, -17, -4, -3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.15 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 890?\nAnswer: 65860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 411188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -6, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000591 rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.409ng to micrograms.\nAnswer: 0.651409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650 at least as big as 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0*p + 0*p + (4*p - 5*p + 0*p + (-2 + 2 - 2)*(-p - 5*p + 4*p))*(-11 + 912708*p - 23 - 912725*p).\nAnswer: -52*p**2 - 102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8494 is divided by 1472?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 7*o**2 + 0*o + o**3 - 4*o + 10. What is the units digit of b(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 + -3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 29 = -f. Let s = f + -29. Let p(i) = -4 + 0 + i - 4*i + s*i. Give p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84236, 84223, 84192, 84137, 84052?\n\"Answer: -b**3 - 3*b**2 + 3*b + 84237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -159698, -319113, -478518, -637907, -797274, -956613, -1115918, -1275183?\n\"Answer: t**3 - t**2 - 159419*t - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(-x + 4 - 4) + (9 + 17 - 1)*(x + 2*x - 4*x) to c*x + j and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**4 + 17*c**3 + 9*c**2 + 53*c + 9690090 wrt c.\nAnswer: 28*c**3 + 51*c**2 + 18*c + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 9. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1408*l**2 + 4212*l - 33. Determine i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -1*sqrt(1573) + -1 + -5*((sqrt(1300) - (sqrt(1300) + 2))**2 - sqrt(13))).\nAnswer: -144 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.034 - -35.034. Which is the closest to w? (a) -0.2 (b) -43 (c) 4 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 11 + 18 - 10 + (-2*v + 3*v - 3*v)*(-32 - 10 + 15).\nAnswer: 55*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.008201 times -308\nAnswer: 2.525908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 1. Let c(q) = -2*q**2 + 158*q + 3. Give c(z) + 3*k(z).\nAnswer: z**2 + 158*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89484846 to the power of 1\/2, to the nearest integer?\nAnswer: 9460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 5*a**5 + 5 + 3*a**3 - a**5 - 3*a**3 + (0*a - a + 3*a)*(2*a**4 + a**3 - a**3) - 520*a**5 + 2*a + 0*a + 519*a**5 + 5 - 2*a**4.\nAnswer: -3*a**5 - 2*a**4 + 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.73 - 30. Let i = m - -1.27. Let x = -3.1 + 3. Which is the second biggest value? (a) 0.2 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16267 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 - (30 - (85 - 42))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 3. Suppose -l*c - c = -51. Suppose r + c = 96. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 5201061*t.\nAnswer: 5201061*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.84 + 45. Let o = y - 0.16. Which is bigger: 1\/9 or o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515638507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -21 (b) -0.4 (c) 26\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2428 times 68\nAnswer: -165104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 7. Does 15 divide 1 + -2 + t - -45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 501 + -501. Suppose i = 16*q - 52032 - 46480. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32305.\nAnswer: 5, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535297, 535293, 535289, 535285, 535281?\nAnswer: 535277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -100, -4 in descending order.\nAnswer: -4, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.1 (b) -3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31884495?\nAnswer: 3, 5, 463, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**6\/2 + 6*i**5\/5 - 3*i**4\/4 - 5. Factor g(c).\nAnswer: -3*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3759)\/(-2506))\/(((-6)\/2)\/6))\/(99\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -4*d. Suppose d*c - 36 = 9. Solve 5*k = -0*k - c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 526, 532, 542, 556, 574, 596?\n\"Answer: 2*t**2 + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(-2*v + 0*v + v) + 0 + v + 0)*(-34*v**2 + 34*v**2 - 949*v**3 + 3804*v**3).\nAnswer: -2855*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 840*y**3 - 16038*y**2 - 15200*y = 0.\nAnswer: -400, -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*d = -87, -5*k - 222 = -3*d + 285. Let y = -70 - k. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -13. Let x be (-10)\/3*(-3)\/2. Suppose 0 = -4*u + 4*b + 92, 4*u + b - 47 = -4*b. Solve u + g = -x*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, n: 7}. Give prob of sequence uunu.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 181353*h\/4 - 2990691\/2.\nAnswer: -3*(h - 60418)*(h - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1005, 5109, 9213, 13317, 17421?\nAnswer: 21525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 52*l + 5*l**3 - 15*l**3 + 64*l - 102*l.\nAnswer: -15*l**3 + 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801049 is divided by 89004?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**4\/10 + 17711*y**3\/5 - 34884741*y**2\/10 + 30944844*y\/5 + 7738178\/5 = 0. Calculate y.\nAnswer: -2\/9, 2, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-418)\/(-66) - 4\/(-6). Suppose u*q + 16 = 15*q. What is the third derivative of -18 + 7*b**q + 18 - 10*b**5 wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1270 - 864. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - -1) + 63\/40 and 113\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 16*m**2 + 112*m - 128.\nAnswer: -4*(m - 2)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o = -3*m + 44*o + 1956, 5*m + 3*o = 3270. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-736)\/240 + (-3)\/(-45). Let c(u) = 26*u**2 - 5*u + 3. Let g(r) = -13*r**2 + 3*r - 2. Give s*c(n) - 5*g(n).\nAnswer: -13*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-72)\/16)\/9*2. Which is smaller: i or 18\/287?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -89*l + 34*l + 26*l + 28*l + 1. Let k(a) = -a + 2. Suppose 4*z - 19 = n, -2*n - 2*n = z - 9. Calculate z*h(j) - 3*k(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4864 - 0.0364. Let h = -0.05 - b. What is the second biggest value in h, 0, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10232 (base 4) to base 8.\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/8 + 75465\/78 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(7) + 1 + sqrt(7)) - ((sqrt(700) + 0)**2 - sqrt(700))*-3.\nAnswer: -24*sqrt(7) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g - 16. Let b(q) = -7*q - 5. Let p(f) = -7*b(f) + 2*c(f). Let l = -41 + 53. What is the remainder when p(4) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1217*v + 1221*v = 0. Let d(o) = -o**3 - 2*o - 12. Determine d(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 182*v**2 + 14*v - 59. Let q(k) = -59*k**2 - 4*k + 19. Calculate 10*q(w) + 3*s(w).\nAnswer: -44*w**2 + 2*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1408*z - 1355*z + 367 = -3*p + p, 3*z = 5*p - 31 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/5)\/((-36)\/14*448\/256)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -321.565837 to 0 dps.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*-12*(34 - 33)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let q(f) = 29*f - 16*f + 21*f - 4*f. What is q(u(r))?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*40\/((-16)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 22193669*r**2 + 246279405259760*r + 1477677230530752.\nAnswer: (r - 22193672)**2*(r + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxvoyop. What is prob of sequence pv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127190867*j*w**2 - j*w + 9477*j + 711*w - 4 wrt w.\nAnswer: -254381734*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 + -15 - 2\/(6\/(-579)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427289 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2957*z - 369. What are the prime factors of c(-7)?\nAnswer: 2, 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7547*y = 5512*y + 2613*y - 485832 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 27\/4. Which is the nearest to m? (a) -4 (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 143992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/53957 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -93599*p**3 + p**2 - 16*p + 14. Let r be b(1). Round r to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 247*d**2 + 57*d. List the prime factors of g(-4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/3 - 3)*730\/1560 and 13\/42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 4*x - 2. Let j be t(2). Let o be (236 + -235)\/(1 - 4\/3). Does 20 divide 3\/2 - (135\/j + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.6 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20112 - -22023022?\nAnswer: 22103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6789?\nAnswer: 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 126. Let m be (9 - 0 - -2)*25\/25. Solve 2*d - 1 + m = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/571 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371 + -369. Suppose 2*o - j*n + 72 = -2*o, 4*o + n = -60. Are o and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 - 2*c**2 - c + 7. Let m(a) = -6*a**3 + 3*a**2 + a - 6. Let r(v) = -5*f(v) - 4*m(v). What is the tens digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.2, -77\/16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -359 and -0.09?\nAnswer: 32.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282640 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: In base 4, what is 103131 - 11322100?\nAnswer: -11212303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose -b*p - p + 54 = 0. Calculate the highest common divisor of p and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -21*u - 1220. Determine h(-57).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, i: 4, y: 5}. What is prob of picking 3 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2784.32076 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**3\/6 + j**2 + 2*j. Let q(s) = -2*s - 3. Let a be q(-3). Let r(z) = -z + 3. Determine a*l(f) - 2*r(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*i**5 - 610*b**3*i**4 + b**3*i**2 - 8*b**2 - 72*b*i**2 - i wrt i?\nAnswer: -480*b**3*i**2 - 14640*b**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, r: 3, u: 4, p: 1, i: 1}. Give prob of sequence ur.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + (-21 - -33)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 519 + -500. Solve 3*x - b = 4*f, -f + x - 2 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 230?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 9)*(2*i + 4*i + i)*((5 - 3 + 1)*(3 - 3 - 1) + 4 - 2 - 3) in the form v*i + o and give v.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 2, o: 3, b: 6, h: 1}. Give prob of picking 1 b and 3 o.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 + 3*s**2 + 6*s + 3. Let o(b) = 5 - 2*b**2 - 36927*b**3 + 11*b + 36921*b**3 + 7*b**2. Give 3*o(u) - 5*t(u).\nAnswer: -3*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711 - 1319 = 15*b - 128 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*h = j + 73*h - 20686, 5*j - 103580 = -5*h. Does 218 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (2\/(-3))\/((-28912)\/1521 - -19) and 348?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -5*w**4\/4 - 7*w + 9. Differentiate y(u) with respect to u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69100 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*z - 261 = 15. Let u(i) = 3*i - 9. Let d(a) = 2. Give z*u(p) + 10*d(p).\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 466692832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -42. What is the lowest common multiple of 65 and r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16*86\/215.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789 is divided by 150?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 5*k - 10. Let z be r(7). Suppose 0*m - 35 = -5*f - 5*m, -z*m + 18 = -f. Let v be 1\/(1\/4*f). Solve q + s - v = 0, 7 + 1 = -2*q + 4*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - ((-57)\/7 - 468\/546). Let q(u) be the second derivative of 1\/3*u**3 + z + 0*u**2 - 6*u. Let x(d) = -3*d. Give x(q(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1840 divided by -2\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/30 + 7*u**4\/4 - u**3\/3 - 2*u**2 + 452*u. What is f(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 1. Let w = -28 - -34. Let b = w - n. Solve -3*q - 15 = b*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2852 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 108. Sort 4, v, -5, 3 in decreasing order.\nAnswer: 4, 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 7*g + 2*y - 4, 2*g - 5*y + 17 = 0. What is the tens digit of (174\/g)\/(24\/30 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2130595*d*y**4 - d*y**2 - 189*d*y - 540*d + 2*y wrt y?\nAnswer: 25567140*d*y**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 7, 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 910\/(-210)*(-5658)\/533?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 343*v - 685*v + 2 + 765*v as y + z*v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or 3294\/11?\nAnswer: 3294\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:01 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -124, -316, -586, -928, -1336, -1804, -2326?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3913 - -5201. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.8146 milligrams in tonnes?\nAnswer: 0.0000005878146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**7\/5 + v**4\/24 - 10*v**3 + 8*v**2. Find the first derivative of t(y) wrt y.\nAnswer: 168*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1076\/12)\/(-7 - 133\/(-21)). Let y = p + 135. Which is the closest to 0? (a) y (b) 1 (c) -2 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30309385?\nAnswer: 5, 17, 293, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2524.0006929 + -2524. What is a rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18.28113 nanometers?\nAnswer: 0.00001828113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170108 or 680431\/4?\nAnswer: 680431\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -333907216, -333907215, -333907214?\n\"Answer: g - 333907217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003436 to five decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 18*g**3 - 122*g**2 - 20*g - 18. Calculate b(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1181 divided by -2?\nAnswer: 1181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - -5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 + 14 + 5*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacykcacykycjkcyccc. What is prob of picking 1 c and 2 k?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 577*b + 24842. What is m(65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7742 - 3*a + 433*a**2 + a + 4065 + 4044 wrt a?\nAnswer: 866*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/45 - 28*v**5\/15 - 65*v**4\/2 + 4513*v. Let m(t) = 0. What is t?\nAnswer: -9, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 5*f + 22*f + (0*f - 2*f + 0*f)*(-2 + 2 + 3) + f + 6*f - 2*f)*(2*f - 2 + 2)*(-f - 2*f - f) to q*f**3 + d*f**2 + b + y*f and give q.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:29 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l**2. Let m(n) be the second derivative of -4*n**3 - 3*n**2\/2 - 2*n + 34. Let q(o) = 270*o + 34. Let p(b) = -68*m(b) - 6*q(b). Calculate f(p(w)).\nAnswer: 2448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 6 + -24 + 19 + -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 46*c = 190 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78407804?\nAnswer: 2, 31, 632321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(1\/2)*b**(-1\/5)*b**(1\/2)*b\/(b**(-4)*b)*b)**32 assuming b is positive.\nAnswer: b**(1088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*j + 60. Let a = -2 - j. What is the remainder when (-15)\/(-4*(-6)\/(-80)) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 1\/60*b**5 - 1\/12*b**4 + 0*b + 1\/6*b**3 + 3\/2*b**2 + 1. Let d(c) be the second derivative of m(c). Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/11, 4\/5, 6\/37?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(2\/15). Let l(x) = x**3 - 9*x**2 - 7*x + 3. Let g be l(m). What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 11 + -7 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1234530 (base 10) to base 5\nAnswer: 304001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158636 by -4.\nAnswer: 39659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 208091\nAnswer: -4\/208091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + -2. Suppose 2 = -2*y - f, 2*y + 4*f + 6 = -2. Let o = -127 + 127.5. What is the nearest to b in y, o, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2874447.8077374 + 2501121.40774. Let t = -373328 - u. Let w = t + 1.6. Round w to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12528 or 2092168\/167?\nAnswer: 12528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}